High-Speed High-Output Diesel Engines: Difference between revisions

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"specific power per unit of piston area" (N/F)<math>\sqrt{s/d}</math>
"specific power per unit of piston area" (N/F)<math>\sqrt{s/d}</math>




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Two engines with equal characteristic parameters can be assumed to show equal service performance of their piston and crankshaft assemblies. This, however, holds only for engines of similar design. Therefore the parameters should never be compared on their own, but only under simultaneous consideration of the designs of the engines involved.
Two engines with equal characteristic parameters can be assumed to show equal service performance of their piston and crankshaft assemblies. This, however, holds only for engines of similar design. Therefore the parameters should never be compared on their own, but only under simultaneous consideration of the designs of the engines involved.


It appears from Table 1 that the specific power-to-piston area ratio of the locomotive engines - irrespective of their power and speed - is within the limits 210 to 345 bhp/ft?, excluding the engines represented by items 8 and 9, which will be discussed later. For the turbocharged stationary en-
It appears from Table 1 that the specific power-to-piston area ratio of the locomotive engines - irrespective of their power and speed - is within the limits 210 to 345 bhp/ft?, excluding the engines represented by items 8 and 9, which will be discussed later. For the turbocharged stationary engines, rated at continuous speeds from 250 to 600 rpm, the respective power - to - piston area ratios range approximately between 93 and 186 bhp/ft?. From this comparison it becomes quite evident that the effort to ensure small bulk of the locomotive engines to make them suitable for their application, imposes high demands on engine design as well as on material when operational reliability and life of the wearing parts of both engine groups is to be the same. Even more revealing are here the high mass-force factors for the locomotive engines which range between 603 and 915 f t /min', whereas the corresponding figures for stationary engines lie only between 215 and 431 ft ⅔ /min?.
 
These simple considerations show that locomotive engines which have proved satisfactory in practical operation must be types of a highly meritorious design, for they have withstood the imposition of quite severe demands. In order to permit a comparison between different engines on the basis of the criteria developed above, a common basis of "equal loading" has to be defined. "Equal loading" of two engines specifically means that the mechanical and thermal loading of piston and crankshaft assemblies of the two engines is the same. This is characterized by:
 
 
The conception of geometric similarity is understood to cover not only the cylinders, (stroke and bore), but also all those parts of the engine which are subjected to any stresses. In all these comparisons, the mechanical efficiencies of the engines are assumed to be constant. From the well-known engine power equation:
 
 
Assuming that for two geometrically similar engines (s/d = constant) the mean piston speed Cm the mean effective pressure Po, the swept volume Ve and the ratio N/ are constant, the correlation between power and number of cylinders becomes:
 
 
Fig. 9 shows this functional relationship indicative of the increase in output obtained with an engine of the same total swept volume by increasing the number of cylinders. For instance, if a plant hitherto driven by one slow-speed 12-cyl engine is driven, instead, by eight high-speed 12-cyl engines which have altogether the same total swept volume as the one slow-speed engine, the output is doubled although mechanical and thermal stresses in the piston and crankshaft assembly are the same. If it were intended to achieve this doubling of output by enlarging the swept volume of the single slow-speed engine, the swept volume of that engine would have to be increased 2.8 times.
 
Finally, regarding the significance of the parameter of specific power output per unit of piston area as a factor characterizing engine loading, it may be used to divide engines into different load or performance categories. For instance certain ranges of this specific power-to-piston area factor can be assigned to the category of engines of high specific output, to the category of vehicle engines, the category of marine engines, and so on. Under these assumptions can be derived for N/F/Vs/d = constant and (s/d) = const.:
 
for a given load category and geometrically similar engines, the specific power-to-swept volume ratio is inversely proportional to the bore.
 
Fig. 10 shows the relationship between the specific power-to-swept volume factor and the bore for different values of the specific power-to-piston area factor. For example, with geometrically similar engines of equal thermal and mechanical stressing of their piston resp, crankshaft assemblies, the doubling of the bore would halve the power per unit swept volume. In the same figure data are plotted for four high-speed engines belonging to four different performance categories, and one slow-speed marine propulsion engine.
 
The data of these engines are listed in Table 2.
 
Table 2 shows that a normal high-speed engine (for example, Engine No. 1) has the same power output per unit of piston area as the slow-speed marine engine No. 5, where the power of the latter must be regarded as being rather high compared with other similar engines. With high-speed engines, however, by means of suitable measures such as piston cooling the specific power output per unit of piston area can be increased for marine engines to 304 bhp/ft?, as shown for No. 3 engine. Yet this still does not exhaust the possibilities of increasing the specific power output. As No. 4 engine shows, by an increase in speed, mean effective pressure, and by other measures, the specific power-to-piston area factor of the same engine can be raised to beyond 600 bhp/ft?, a value which cannot be approached even remotely by slow-speed engines. This comparison clearly demonstrates the possibilities for high-speed engines to increase their specific power output; it also demonstrates the wide power range which can be obtained with one and the same engine.
 
The higher the specific power-to-piston area factor is of an engine which has proved to be reliable in actual service, the higher is the standard of technical development which the particular engine can be said to have reached. Hereby the measures are quite decisive by means of which higher specific power output per unit piston area has been attained, without exerting a detrimental influence on the reliability of the engine.
 
In the high-speed Maybach MD engines, a great step forward was made with the introduction of pressure-oil piston cooling . Fig. I l gives several temperatures measured at different power outputs in the piston crowns and piston ring lands of a pressure-oil cooled and a noncooled piston. The comparison clearly shows that although the power output per unit of piston area was considerably increased, the temperatures in the compression ring area, due to the effectiveness of the piston cooling, did not exceed those measured in the conventional standard design. These temperatures determine if seizing of the compression rings will occur. The only temperatures which increased slightly were those in the center of the piston crown. This is due to the considerably higher thermal loading and to a slightly smaller conductivity of the steel crown. Since, however, the crown of the cooled piston is of heat-resistant material and not of aluminum, this temperature rise has no detrimental effect on service life.
 
So far, in the comparative evaluation of different engines, the common base, namely the engine loading, was understood to refer exclusively to the piston and crankshaft assemblies. However, cylinder heads and liners are both subjected to high stresses. This is due to the explosion pressure and also to the heating of combustion chamber walls during the combustion process.
 
To simulate the maximum stresses in the cylinder head and liner due to ignition pressure Pz, the tangential stress °mech acting on the external diameter of a thick-walled cylinder may be taken. This is calculated by:
 
mech = Pz d2 / 2 (d + b) b
 
where w h e re .
 
d= Internal diameter
 
b = Wall thickness
 
Correspondingly, maximum tensile stress due to thermal load Otherm of the cylinder head and liner may be taken to be proportional to the tangential stress on the external diameter of a cylinder that is internally heated and externally cooled.
 
 
° therm = 1 - U 8(d + б ) I n (1 + 26)
 
where:
 
E = Modulus of elasticity
 
v= Poisson's number
 
B = Coefficient of expansion
 
AT = Difference between inner and outer wall temperature
 
 
It becomes apparent from Eg. 4 and 5 that where the same material is used, stressing of the walls in cylinder heads and liners depends on the ignition pressure Pz, on the difference in wall temperature ST, on the internal diameter d, and on the wall thickness &.
 
As regards ignition pressure Pz it may be assumed that this remains practically unchanged where engines of different size and uniform mean effective pressure Pe are concerned. However, when the latter decreases, the ignitionpressure will also decline.
 
Given the same material, the difference in wall temperatures AT is directly proportional to wall thickness and specific heat flow. From the known engine equations the following proportions will result:
 
 
N ~ Pe Cm d2 N~ Q
 
o ~ Pe Cm d2 power output per cylinder
 
total heat flow through the walls
 
forming the combustion space
 
specific heat flow through the walls
 
forming the combustion space
 
Thus the following proportion may be taken for the wall
 
temperature:
 
AT ~ Pe Cm S (6)
 
Assuming uniform piston speed Cm and uniform mean effective pressure Pe,
 
AT ~ 6 (7)
 
In Fig. 12 a computation diagram has been plotted from Egs. 4, 5, and 7. This diagram, though based on conditions pertaining to the Maybach MD diesel engine, permits assessing for other engines the relationship between wall thickness of cylinder heads or liners, and mechanical and thermal stressing of walls at constant mean effective pressure. In this connection it should be noted that for the Maybach MD engine, of 7.38 in. bore and an average wall thickness of the cylinder head of 0.34 in., the mechanical and thermal stress figures have been entered as 100%.
 
Fig. 12 clearly shows that in a slow-running engine with
 
cylinders twice the diameter of the MD engine, with the
 
same mean effective pressure, and the same cylinder head
 
and liner wall thickness, the mechanical stresses in cylinder
 
head and liner walls are twice as high as in the case of the
 
quick-running engine. Thermal stressing of the walls only
 
differs very slightly. If, in this comparison, mechanical
 
stressing is kept constant in the slow-running engine, then
 
doubling the wall thickness will be required, in which case
 
thermal load will increase 2.4 times compared to the high-
 
speed engine.
 
For constant mechanical and thermal wall stressing and
 
equal piston speeds, a correlation between cylinder bore and
 
mean effective pressure was calculated from the above pro-
 
portions and plotted in Fig. 13. This shows clearly the ex-
 
tent to which the high-speed engine excels the medium- or
 
slow-speed engine in regard to the mean effective pressure
 
that can be realized. As an example, a diesel engine with
 
twice the cylinder diameter of the Maybach MD engine, and
 
having the same mean piston speed and the same mechan-
 
ical and thermal loadings of cylinder head and liner walls,
 
can be operated only at two-thirds the mean effective pres-
 
sure of the corresponding MD engine. This fact should be
 
taken into account because the possible thermal and me-


gines, rated at continuous speeds from 250 to 600 rpm, the
chanical loading of cylinder head and liner materials is prac-


respective p o w e r - t o - p i s t o n a r e a r a t i o s r a n g e a p p r o x i m a t e l y
tically the decisive factor today in limiting the specific power


between 93 and 186 bhp/ft?. From this comparison it be-
output of a diesel engine.


comes quite evident that the effort to ensure small bulk of
For a long time, there was a widespread idea that high-


the locomotive engines to make them suitable for their ap-
speed engines, because of their higher rpm and their gen-


plication, imposes high demands on engine design as well
erally higher piston speed have a greater liner wear than low-


as on material when operational reliability and life of the
speed engines. This idea has been discarded even by the


wearing parts of both engine groups is to be the same. Even
supporters of the slow-running engine.


more revealing are here the high mass-force factors for the
It is argued today that the large bore of a slow-speed en-


locomotive engines which range between 603 and 915 f t /
gine also permits substantial overall wear before the cylin-


min', whereas the corresponding figures for stationary en-
221


gines lie only between 215 and 431 ft ⅔ /min?.
der liner must be replaced. Departing from the assumption


These simple considerations show that locomotive en-
that the absolute wear per 1000 operating hr is about equal


gines which have proved satisfactory in practical operation
in either case, the conclusion is that the cylinder liners of


must be types of a highly meritorious design, for they have
a high-speed engine should be replaced at considerably shorter


withstood the imposition of quite severe demands.
i n t e r v a l s . thus resulting, as a rule, in higher costs for


In order to permit a comparison between different en-
spare parts, because any wear phenomena at this spot would


gines on the basis of the criteria developed above, a com-
have an approximately constant relationship to the other


mon basis of "equal loading" has to be defined. "Equal
wearing parts of an engine (6). This conclusion, however,


loading" of two engines specifically means that the mech-
stems from an assumption which in no way is represented by


anical and thermal loading of piston and crankshaft assem-
actual existing conditions.


blies of the two engines is the same. This is characterized
When studying technical literature, time and again one


by:
finds the indication of 0.004 in. per 1000 per operating hr


as an average figure in regard to liner wear of large slow-


The conception of geometric similarity is understood to
running marine engines. Depending on the nature of the fuel


cover not only the cylinders, (stroke and bore), but also all
used, this figure varies slightly upwards or downwards.


those parts of the engine which are subjected to any stresses.
the other hand, there are operational results available today


In all these comparisons, the mechanical efficiencies of the
from high-speed engines in railroad service which permit


engines are assumed to be constant.
certain conclusions. Fig. 14 shows the wearing quality of


From the well-known engine power equation:
some typical high-speed engines selected from a larger num-


ber of engines of the same type which for more than 5 yr


Assuming that for two geometrically similar engines (s/d =
have been operated by the German Federal Railway (7).


constant) the mean piston speed Cm the mean effective
engines concerned are 12-cyl Maybach engines, type GTO,


pressure Po, the swept volume Ve and the ratio N/ are
developing 600 bhp at 1400 rpm with a bore of 6.30 in. and


constant, the correlation between power and number of cyl-
a stroke of 7.88 in., this being equal to a mean effective


inders becomes:
pressure of 113.5 psi and a piston speed of 32.8 fps. These


engines still have uncooled pistons and therefore may read-


Fig. 9 shows this functional relationship indicative of the
ily be compared with high-speed engines of another type.


increase in output obtained with an engine of the same total
With an average wear of 0.0063 in. related to 7500 hr, cyl-


swept volume by increasing the number of cylinders.
inder wear in these engines is approximately 0.0008 in. for


For instance, if a plant hitherto driven by one slow-speed
every 1000 operating hr. These liner wear figures were all


12-cyl engine is driven, instead, by eight high-speed 12-
measured where wear is greatest, namely, at the top dead


cyl engines which have altogether the same total swept vol-
center of the topmost compression ring. As in the case of


ume as the one slow-speed engine, the output is doubled
cylinder bore, the permissible overall wear is in the neigh-


although mechanical and thermal stresses in the piston and
borhood of 0.016 in., reboring in connection with a major engine overhaul will not be required before some 20,000 op-


crankshaft assembly are the same. If it were intended to
erating hr.


achieve this doubling of output by enlarging the swept vol-
In this respect the objection may be raised that contrary


ume of the single slow-speed engine, the swept volume of
to the propulsion of sea-going ships, engines operated in rail


that engine would have to be increased 2.8 times.
traction are not continously running at full load. This ob-


Finally, regarding the significance of the parameter of
jection cannot be denied. However, it is a well-known fact


specific power output per unit of piston area as a factor char-
that continuous load changes, as they are the rule in rail


acterizing engine loading, it may be used to divide engines
traction, subject the engine to increased thermal stressing,


into different load or performance categories. For instance
and dust content of the induced air is another drawback for


certain ranges of this specific power-to-piston area factor
railway engines. Wear figures obtained for more recently


can be assigned to the category of engines of high specific
installed MD-engines will be discussed later.


output, to the category of vehicle engines, the category of
Apart from the wear resistance of an engine, the load on


marine engines, and so on. Under these assumptions can
the crank assembly is another factor of importance regarding engine service life, and here something of the influence


be derived for N/F/Vs/d = constant and (s/d) = const.:
of increased engine speed may be shown. Characteristics


representing constant load on the main bearings of the crank-


for a given load category and geometrically similar engines,
shaft of an MD engine, the load being caused by ignition pres-


the specific power-to-swept volume ratio is inversely pro-
sure and mass forces, are plotted in Fig. 15 as a function of


portional to the bore.
torque and rotational speed. This graph shows that the load


Fig. 10 shows the relationship between the specific pow-
on the main bearings at constant engine torque increases with


er-to-swept volume factor and the bore for different values
decreasing engine speed. Therefore, operating the engine


of the specific power-to-piston area factor. For example,
along a constant torque characteristic causes considerable


with geometrically similar engines of equal thermal and mechanical stressing of their piston resp, crankshaft assemblies,
additional stressing of the main bearings. In order to obtain


the doubling of the bore would halve the power per unit
power outputs as high as possible, it is from this point of


swept volume. In the same figure data are plotted for four
view more advisable to increase the speed rather than operate


high-speed engines belonging to four different performance
at low speed and high torque. Operating the engine along the


categories, and one slow-speed marine propulsion engine.
propeller characteristic appears therefore to yield best serv-


The data of these engines are listed in Table 2.
ice results (8).
 
Based on the resulting bearing load the service life of the
 
roller main bearings was calculated. The lines of constant
 
service life have been plotted in Fig. 16 as a function of
 
power output and engine speed. It should be noted that this
 
calculation only applies to crankshafts with roller bearings.
 
From this graph can be seen that regarding service life con-
 
ditions are most favorable when with decreasing power out-
 
put engine speed is not reduced. It will also be noted that
 
if an engine is operated along the propeller curve, at a load
 
of about 83% of continuous power output, bearing life is
 
doubled, whereas with constant torque operation,e v e n a t
 
the lowest engine speeds there will be no increase in service
 
life. This again shows that increasing engine speed rather
 
than torque gives best results with respect to service life of
 
the crankshaft roller bearings.
 
The influence of high-speed on weight can readily be
 
seen in Table 1. When considering the column of weights
 
in this table the engines may be classified in three groups.
 
The first group with a weight-to-power ratio of about 20
 
to 22 1b/hp comprises the engines indicated under Nos. 1 and
 
These are 4-stroke engines with speeds up to 850 rpm,
 
built by European makers. Their specific power-to-piston area ratios and their mass-force factors are comparatively
 
low. The engines are quite heavy, thus having an essen-
 
tial bearing on locomotive weight. In the case of electric
 
transmissions the low speed will furthermore result in high
 
generator weights, unless a more expensive type incorporat-
 
ing two crankshafts and a step-up gear transmission for the
 
generator drive is adopted as for engine No. 2.
 
The second group refers to engines with a uniform weight
 
of some 16-18 1b/hp at 1000 rpm. Typical representatives
 
of this group are the two engine types nos. 3 and 4; these
 
are American 4-stroke locomotive engines (Alco and Cooper
 
Bessemer) of identical cylinder dimensions which are widely
 
used. Note that the weight reduction of these engines is
 
linked with an increase of the specific power-to-piston area
 
factor to about 344 bhp/ft?. For engines which have proved
 
to be satisfactory in actual service such values bear testi-
 
mony of a quite advanced stage in development. For com-
 
pleteness sake it should be mentioned, that into this cate-
 
gory belongs a widely used 2-stroke engine (General Motors)
 
16-cyl, weighing 15.8 tons, developing 1950 bhp at 835 rpm
 
corresponding to a weight-to-power ratio of 16.3 1b/bhp.
 
A definite step forward in regard to weight was the in-
 
troduction of engines of group III - engine nos. 5, 6 and 7 -
 
having a weight-to-power ratio of 6.5 to 1 1b/bhp.
 
 
These engines rotate at 1500 rpm and must therefore be classified
 
as high-speed engines. They originated in Europe and some
 
of them have gone through many years of development and
 
constitute an advanced form of powerful railcar engine.
 
In contrast to the United States, diesel rail traction in
 
Europe until World War Il was exclusively by the diesel rail
 
car. Here reference is made to the numerous high-speed
 
rail-cars and streamlined trains equipped with high-speed
 
Maybach diesel engines. The former German State Railways and other railroad companies operated such trains even
 
before the last war in multiple-units up to five cars powered by up to 2000 hp. This experience, supplemented by knowl-
 
edge obtained during the war years in all fields of engine
 
construction enabled the industry, by introducing engines
 
of this group, to set entirely new standards for the construc-
 
tion of powerful locomotives with a favorable power-to-
 
weight ratio.
 
Though it has not yet been generally recognized today,
 
these engines have no higher specific loading in regard to
 
their power ratings than typical low-speed engines, since
 
their specific power-to-piston area ratio, ranging from 278
 
to 334 bhp/ft?, is even lower than the corresponding values
 
of the American 4stroke engines mentioned before.
 
The mass-force factor of these engines, ranging from 790
 
to 915 ft/min?, is slightly higher; but this has not given
 
rise to any difficulties in practice, since the use of better
 
materials and improved machining techniques increased the
 
load bearing capability of the parts - especially of the con-
 
necting rod. Economically the use of better material was
 
possible as the bulk of the parts decreased.
 
Table 1 gives evidence of the substantial advantages of-
 
fered by high-speed engines in regard to weight. This re-
 
duced weight of the high-speed engine is an absolute ne-
 
cessity for the construction of powerful diesel locomotives,
 
and becomes even more important if for economic reasons
 
locomotives with not more than four axles are considered.
 
=== Development of Measuring Techniques for High-Speed Engines ===
Formerly, in development and testing of internal com-
 
bustion engines one had to rely fully on results obtained by
 
test bed endurance trials and on ensuing experience gained
 
i n p r a c t i c a l o p e r a t i o n . With this kind of testing it could
 
often take a long time before any weak spots in the engines
 
c a m e t o l i g h t . However, especially in the last 10 yr, elec-
 
trical measuring techniques have been so improved that it
 
is now possible to actually measure the mechanical load to
 
which an internal combustion engine is subjected. In the
 
case of high-speed engines the requirements with respect to
 
measuring methods are considerablym o r e s u n d e n o w i n ?
 
to the higher frequencies, so that recent development of
 
measuring techniques is of particular benefit to the high-
 
speed engines.
 
In order to anticipate the reliability of individual ma-
 
chine members, it is of prime importance to know the fa-
 
tigue strength of the material. The results from fatigue
 
strength tests can be presented in the form of a diagram in
 
which the number of load alternations prior to the fatigue
 
fracture is entered as a function of the ultimate strength.
 
was recognized by Wohler as long as a hundred years ago that
 
there is an interrelationship between the fatigue strength of a
 
steel and the load cycle, and that a material which has with-
 
stood a certain load level for a definite number of alternat-
 
ing stress cycles will not break. As can be seen from Fig.
 
17 this load level does not alter even when the number of
 
load cycles is increased from 10 million to 200 million (Fig.
 
18). For both high-speed and low-speed engines the number of 10 million load alternations is attained relatively quickly,
 
so that for the design the fatigue strength and not the tensile
 
strength has to be taken into account. It is quite natural that
 
when investigating the fatigue strength of a material there
 
will be some dispersion owing to irregularities in the surface
 
structure, and it so happens that in endurance tests not a
 
single fatigue characteristic is obtained but rather a range,
 
of which the lower stray field limitation supplies the prac-
 
tical values for calculating the operating reliability. In such
 
investigation regard must be paid to whether there are pure
 
tension-compression or bending stresses, or if there is a non-
 
uniform stress distribution. In the case of applying a bend-
 
ing load on small diameter rods or rods with notches, higher
 
alternating stress amplitudes might be acceptable, because
 
residual stresses as a result of machining the surface layer
 
may become particularly perceptible here.
 
In the Maybach stress laboratory various grades of steel
 
have been examined in respect of their endurance strengths.
 
In Fig. 19 the bending fatigue strength of various steels has
 
been plotted as a function of the tensile strength. The in-
 
dividual values clearly indicate that the service life of an-
 
nealed (hardened and tempered) steels increases with the
 
tensile strength. Therefore, the alloying constituents are
 
only of importance inasmuch as they ensure perfect and
 
thorough hardening. As a comparison with these measure-
 
ments, a characteristic curve "b" by Wellinger and Gimmel
 
(9) has been added to Fig. 19, showing general agreement
 
with the findings of Maybach Motorenbau as represented by
 
curve "a."
 
Apart from the influence of tensile strength on fatigue
 
strength, exhaustive studies were also made regarding the
 
influence exercised by surface finish and material purity.
 
Some results of such an investigation are shown in Fig. 20.
 
The graph shows that machining may have a considerable influence on the fatigue strength of the material, and that
 
under certain circumstances the advantage of high strength
 
as offered by high tensile steels may be offset entirely
 
by their poor machinability. As indicated in the graph, the
 
decrease in fatigue strength in the case of a forged surface
 
may be quite considerable. Similarly unfavorable condi-
 
tions are to be expected where impurities and heat-treat-
 
ment defects are present. However, by the use of modern
 
test methods it is possible today to ascertain a desired de-
 
gree of surface finish and purity of a material so that, when
 
properly inspected, the minimum fatigue strength of the lat-
 
ter can be realized. Apart from the surface finish, the in-
 
fluence exercised by fretting corrosion on fatigue strength
 
is also of considerable importance.
 
In this connection the bending fatigue strength of a high
 
tensile steel clamped between two jaws of unhardened car-
 
bon steel was determined by the Maybach stress laboratory.
 
It is shown in Fig. 21 that due to the action of fretting cor-
 
rosion phenomena the bending fatigue strength of this rod
 
was reduced to as low as 28,400 psi. Another test speci-
 
men of the same material, soft-nitrided, attained a bend-
 
ing fatigue strength of 71,000 psi under the same circum-
 
s t a n c e s . Consequently, the elimination of fretting corrosion
 
by nitriding and the compressive stresses thereby induced in the surface, increased the bending fatigue strength of this
 
material by 150%.
 
Once the fatigue strength of a material is known, the de-
 
termination of the actual loads on individual structural mem-
 
bers is necessary, and particularly the pattern of the stresses
 
induced by the loads. An excellent way to ascertain the
 
direction of major deformation and/or principal stresses, even
 
in the case of structural members with complicated contours,
 
is the brittle lacquer method which, as long ago as 1924,
 
was evolved by Maybach Motorenbau in connection with the
 
development of engines for the airship "ZR III," the "Los
 
Angeles," which on Oct. 13, 1924, started for its epic flight
 
across the Atlantic Ocean.
 
In this method, the component considered is coated with
 
a special lacquer, in the surface of which cracks - the so-
 
called elongation lines - will show up at stresses below the
 
elastic limit of the structural members. These elongation
 
lines, originating always vertically to the tensile load, first
 
appear in the surface area which is subjected to highest
 
stresses. As an example, Fig. 2 shows the image of elongation
 
lines on a flat bar under a bending load. In the area under
 
tensile load (bottom of Fig. 22) the elongation lines are di-
 
rected perpendicular to the tensile strains, and in the area
 
of compressive load (top of Fig. 22) they are directed in line
 
with the compressive strain. When the stress pattern has been
 
determined, a suitable strain-measuring instrument may be
 
used to measure the actual magnitude of the stresses.
 
Practical application may be shown by the images of
 
elongation lines in a fork connecting rod in Fig. 23. In the
 
rod on the left hand side of the figure the lacquer was ap-
 
plied prior to applying the tensile load, and on the right
 
hand side prior to relieving the load. In this way, the first
 
and second directions of main stresses are indicated.
 
subsequent strain measuring with strain gages pasted perpen-
 
dicularly to the elongation lines, the stress distribution in
 
the connecting rod can be determined. Local stress peaks
 
thus found can be eliminated or reduced to acceptable lim-
 
its by suitable modifications in design.
 
Due to the smallness of present-day strain gages it is easy
 
to measure the stresses even in lubricating oil holes having,
 
for example, a diameter of only 0.315 in. The effects of
 
such holes in crankshafts have been determined by the May-
 
bach stress laboratory (10). As may be seen from Fig. 24,
 
stress concentrations are best removed by widening the hole
 
in a slightly conical form. In spite of this, however, round-
 
ing off the rim of the hole will still be necessary to obtain a faultless surface. Care must be taken to ensure that the
 
location of the hole subjected to maximum stress is not on
 
the outside of the rim, but somewhat more to the inside.
 
Thanks to the high standard of modern measuring tech-
 
niques it is also possible to determine the stresses in the
 
crankshafts of engines in motion. In this respect, investi-
 
gations were made at Friedrichshafen on a 16-cyl MD en-
 
gine. Strain gages were applied to each web of the crank-
 
shaft, and the leads were brought to the outside through slip
 
rings. By way of an automatically operating multiple switch
 
gear these gages were connected with an oscilloscope, which
 
filmed the load diagrams of the individual strain gages in
 
rapid succession. At the same time, by means of a torsional
 
vibration gage developed by the Works, torsional vibration
 
amplitides were measured at the free end of the engine crank-
 
shaft and likewise filmed on an oscilloscope.
 
The load diagrams established at the crank webs are so-
 
called "cumulative curves" of the local crankshaft loading.
 
These curves were evaluated under two aspects: (1) the oc-
 
currence of maximum loading, (maximum crankshaft torque
 
in regard to magnitude and location), and (2) by harmonic
 
analysis, in order to obtain a comparison between the mea-
 
sured local load and the results of the torsional vibration computation supplemented by the measured vibration am-
 
plitude at the free end of the shaft.
 
In Fig. 25 two series of typical load diagrams are shown
 
for the eight throws of a 16-cyl V-engine crankshaft (crank-
 
pin 1 on the driving end). During this measuring procedure
 
the engine output was 2500 bhp at 1800 rpm. The diagrams
 
to the left of the schematic shaft were plotted for the shaft
 
not fitted with a torsional vibration damper, whereas those
 
directly to the right of the crankshaft were plotted for an
 
assembly fitted with a very effective type of viscous damper.
 
The test record sbove each series of load diagrams repre-
 
sents the corresponding torsional vibration amplitude mea-
 
sured at the free end of the crankshaft. When examining
 
the illustrations it must be borne in mind that owing to vary-
 
ing degrees of sensitivity of the strain gages, the scale for
 
the amplitude in the load diagrams is not the same for all
 
t r o w s . The diagrams at the extreme right represent the
 
summation of the crank torques as calculated from the in-
 
dicator diagrams of individual cylinders. The scale of the
 
amplitude of the calculated torque diagrams always coin-
 
cides with that of the corresponding measured-load diagrams,
 
whereas the scale of the abscissae is considerably compressed.
 
It appears from the comparison that the measured torques
 
in the throws, whether or not a damper is fitted, are actually
 
smaller than those computed. In addition, there is evidence
 
that the stresses when a damper is used are smaller still;
 
and the shape of the load diagrams for the shaft having an
 
efficient damper will thus be approximate to the shape of the
 
corresponding calculated diagrams.
 
In order to give an idea of the stress distribution along
 
the shaft, the maximum positive and negative stresses se-
 
lected from the corresponding load diagrams (Fig. 26) have
 
been plotted against the length of the shaft for operation
 
both with and without a torsional vibration damper. It will be noted that maximum torque occurs in the middle of the
 
shaft. For comparative purposes, the calculated torques
 
have been shown as well.
 
From this investigation one may appreciate that with an
 
installation having favorable torsional vibration character-
 
istics, the installation of a damper may bring little further
 
reduction in the stresses beyond those shown in Fig. 26: on
 
the other hand, lack of a damper in an installation with un-
 
favorable characteristics may bring higher stresses than those
 
indicated in the figure.
 
The amplitudes of the torsional vibrations at the free end,
 
and the load diagrams measured at the crank-throws, were
 
analyzed electronically in order to check the procedure by
 
w h i c h t h e s t r e s s e s d u e t o t o r s i o n a l v i b r a t i o n s c a n b e e s t i -
 
mated. Operation without a damper resulted in greatest
 
loads occurring close to the third natural frequency; for this
 
resonance range the measured and computed load ampli-
 
tudes of the harmonics of higher orders are plotted in Fig.
 
27 against the shaft length. Here harmonics of the 4th and
 
6.5th orders showed actual values up to 145% above those
 
calculated, whereas for all other orders the values deter-
 
mined were lower than those calculated. It must be borne
 
in mind that the correspondingly analyzed components of
 
the forces arising from gas pressure and inertia are not con-
 
tained in the calculated amplitudes of the harmonic oscil-
 
lations, but are included in the analyzed amplitudes actually
 
measured. As regards order of magnitude, it may be ap-
 
preciated from these measurements, an approximate deter-
 
mination of the stresses in the crankshaft can be obtained
 
by the vibration calculation for the case of resonance, sup-
 
plemented by the measurements of the vibration amplitude
 
at the free end of the shaft.
 
An electric indicator of Maybach's own design with a
 
seismic system is used to measure torsional vibrations. It
 
consists of a heavy symmetrical mass which revolves to gether with the engine crankshaft. The mass itself is con-
 
nected to the crankshaft by means of four spiral springs and
 
a damping device. Whenever there is any torsional vibration
 
of the crankshaft, the mass will maintain its uniform rotary
 
motion and the crankshaft will thus move against the mass.
 
This movement of the crankshaft causes a self-inductance
 
variation in coils forming a bridge fed with alternating cur-
 
rent. Supply of feeding voltage and pick-up of measuring
 
voltage takes place through a slip ring transmitter. The tor-
 
sional vibration indicator is operated over-critically. By
 
adequately tuning both mass and springs its natural frequency
 
could be brought down to 5 cps.
 
It is an advantage of this type of torsion indicator that
 
observation is possible during the test, so that increase in
 
vibration limits can be noted at once, and the test values
 
recorded remotely.
 
Pressures in the cylinders of high-speed engines are pref-
 
erably measured today by indicators based on the piezo-
 
electric principle. Very exact measurements are possible
 
with such indicators, provided that the length of the hole
 
connecting cylinder and indicator is shorter than its diame-
 
ter. Should this not be the case the test results will be grossly
 
falsified due to induced compression waves in the con-
 
necting channel. Fig. 28 shows a typical test record of an
 
8-cyl Maybach MD 440 engine operating at 1000 bhp at
 
1500 rpm where five items are recorded simultaneously: noz-
 
zle lift in the unit injector, plunger stroke in the unit in-
 
jector, pressure distribution in the precombustion chamber,
 
pressure distribution in the main cylinder space, and crank
 
angle marking. Valve lift and stroke of the plunger were
 
measured directly in the unit injector by inductive means,
 
the two pressure diagrams with the aid of piezoelectric quartz
 
indicators installed in the cylinder head, and the crank-an-
 
gle marking was obtained by means of make-and-break con-
 
r a c i s . All five test results were transmitted to a reed-type
 
oscillograph where they were recorded photographically. The diagram of the nozzle valve lift in Fig. 28 clearly
 
reveals with the marked kink the actual commencement of
 
injection (8.5 deg btdc). Regarding pressure distribution in
 
the precombustion chamber, a rapid rise approximately 4
 
deg crank angle after opening of the nozzle valve can be
 
recognized. This 4 deg crank angle, corresponding to 0.5
 
millisec, represents the ignition delay of the fuel.
 
When comparing the pressure distribution in the precom-
 
bustion chamber with that in the cylinder it will be readily
 
observed that during the process of combustion there is com-
 
pression-wave action between precombustion chamber and
 
cylinder. This, however, is less perceptible in the cylinder
 
than in the precombustion chamber.
 
A further example of measuring instruments which have
 
been employed for the progressive development of Maybach
 
engines is the air-speed indicator of the firm's own design.
 
This device can be arranged immediately before the inlet
 
valve in the intake pipe and is used to measure the speed
 
and the direction of air flowing through the inlet valve. In
 
this way, it is possible to supplement the pressure measure-
 
ments in cylinder, exhaust and intake pipes carried out to
 
determine optimum scavenging conditions. In principle, the
 
air speed indicator consists of a small baffle plate which, by
 
a torsion rod, is connected with two small soft-iron plates;
 
these in turn are arranged in the air gap of inductive coils.
 
Under the action of the air flow impact on the baffle, the
 
small soft-iron plates are displaced, whereby self-induct-
 
ance variations are set up in the coils forming the bridge cir-
 
cuit of a carrier frequency amplifier. The self-inductance
 
variations (proportional to the variation in air speed) are
 
transformed by the amplifier into changes in voltage which
 
are recorded by an oscilloscope. The natural frequency of
 
the air speed indicator is above 100 cps. Damping of the
 
coil system is achieved by filling the latter with a viscous
 
damping compound.
 
=== General Description of MD-Engine Range ===
Having dealt with the history of Maybach Motorenbau and with the techniques available today for continuing research now given on and development of these engines, certain deails are now given on the progressive development of the MD-engines.
 
The experience gained with high-speed diesel engines since 1923, and particularly tests with powerful diesel engines in the speed range of 2400-2600 rpm, eventually led to the Maybach tunnel engine of the MD type running generally at a speed around 1500 rpm. Like earlier Maybach engines, the MD tunnel-type engines are single-acting 4-stroke engines. Ranging from 4- to 16-cyl, they are built either as in-line engines or as V models, naturally-aspirated or turbocharged. Outstanding design features of the MD engines are:
 
1. Forged one-piece disc-webbed crankshaft carried in a single piece tunnel housing.
 
2. Pressure-oil cooled aluminum pistons (forced circulation cooling system) with detachable steel crowns.
 
3. Individual cylinder heads with central pre-combustion chamber, and six small well-cooled valves, with automatic backlash adjustment.
 
4. Unit injectors for each cylinder.
 
5. Tunnel crankcase fabricated of steel castings, steel plates and profiles.
 
6. Large number of repetitive components for the whole engine range.
 
These points will now be discussed more in detail.
 
Disc-Webbed Crankshaft and Tunnel-Form Crankcase - In the MD-design, almost the entire length of the engine is used for main and big-end bearings; the crankwebs, which in a conventional engine must be regarded as a loss in this
 
respect, are here encircled by roller main bearings.
 
results in the following advantages:
 
Short engine length with minimum distances between cyl-
 
inders - this is of great advantage regarding elastic defor-
 
mation and vibration problems.
 
Considerable reduction of bending stresses to which the
 
crankshaft is subjected, due to the crankwebs forming the
 
Particularly good conditions for all crankshaft bearings
 
as these are generously dimensioned.
 
Wide connecting-tod bearings of width nearly equal to
 
diameter are used without danger of edge loading. There-
 
fore liquid film lubrication can be assured under all oper-
 
Due to the comparatively small dimensions of such a disc-
 
webbed crankshaft, questions of material, flow of fibers,
 
surface hardness and quality are easier to solve than they
 
are for larger-sized crankshafts, especially of slow-running
 
engines.
 
As a result of its rugged construction and particularly of
 
its shorter length a disc-webbed crankshaft is at least 40%
 
stiffer than a conventional crankshaft having a pin of the
 
s a m e diameter. In order to demonstrate this effect more
 
clearly the natural frequencies of a conventional crankshaft
 
and a disc-webbed shaft have been compared in Fig. 29.
 
The two shafts are illustrated in Fig. 30. The conventional
 
crankshaft of the Maybach GO engine has a stiffness between
 
two adjacent piston masses of c = 18.2 × 106 in-lb/rad. Thus the natural frequency of the engine alone, with flywheel
 
but without vibration damper, becomes n,= 5870 min"!.
 
Within the speed range between 500 and 1400 rpm the 6th


Table 2 shows that a normal high-speed engine (for ex-
order which is very strong is located at 980 rpm. On the


ample, Engine No. 1) has the same power output per unit
other hand, the disc-webbed crankshaft of the rebuilt GTO


of piston area as the slow-speed marine engine No. 5, where
MD engine has a stiffness of c = 53.2 × 106 in.-lb/rad


the power of the latter must be regarded as being rather high
and a natural frequency of the engine alone without vibra-


compared with other similar engines. With high-speed en-
tion damper of ny = 10,550 min"!.


gines, however, by means of suitable measures such as pis-
With this high first nat-


ton cooling the specific power output per unit of piston area
ural frequency the 6th order lies outside the working speed


can be increased for marine engines to 304 bhp/ft?, as shown
range, and since higher orders do not need to be taken into


for No. 3 engine. Yet this still does not exhaust the possi-
consideration, the whole range from 500 to 1400 rpm is free


bilities of increasing the specific power output. As No. 4
from resonance.


engine shows, by an increase in speed, mean effective pres-
The advantage of the disc-webbed crankshaft design (11)


sure, and by other measures, the specific power-to-piston
is not as easy to see for torsional loads as for bending loads,


area factor of the same engine can be raised to beyond 600 bhp/ft?, a value which cannot be approached even remotely
because transfer of force from the crankpin to the web can-


by slow-speed engines. This comparison clearly demonstrates
not be avoided even in a disc-webbed shaft. Nevertheless,


the possibilities for high-speed engines to increase their spe-
the disc-webbed crankshaft still has superior form factors Ok


cific power output; it also demonstrates the wide power range
related to torsional loads: ax = 2.32 for the disc-webbed


which can be obtained with one and the same engine.
crankshaft as compared with 0x = 2.79 for the conventional


The higher the specific power-to-piston area factor is of an engine which has proved to be reliable in actual service, the higher is the standard of technical development which the particular engine can be said to have reached. Hereby the measures are quite decisive by means of which higher specific power output per unit piston area has been attained, without exerting a detrimental influence on the reliability of the engine.
crankshaft (Fig. 33).


In the high-speed Maybach MD engines, a great step forward was made with the introduction of pressure-oil piston cooling . Fig. I l gives several temperatures measured at different power outputs in the piston crowns and piston ring lands of a pressure-oil cooled and a noncooled piston. The comparison clearly shows that although the power output per unit of piston area was considerably increased, the temperatures in the compression ring area, due to the effectiveness of the piston cooling, did not exceed those measured in the conventional standard design. These temperatures determine if seizing of the compression rings will occur. The only temperatures which increased slightly were those in the center of the piston crown. This is due to the considerably higher thermal loading and to a slightly smaller conductivity of the steel crown. Since, however, the crown of the cooled piston is of heat-resistant material and not of aluminum, this temperature rise has no detrimental effect on service life.
Form factor refers to the ratio between the stresses actually


So far, in the comparative evaluation of different engines, the common base, namely the engine loading, was understood to refer exclusively to the piston and crankshaft assemblies. However, cylinder heads and liners are both subjected to high stresses. This is due to the explosion pressure and also to the heating of combustion chamber walls during the combustion process.
measured in the fillet and those calculated for the pin.


To simulate the maximum stresses in the cylinder head and liner due to ignition pressure Pz, the tangential stress
[[Category:Articles]]
[[Category:Articles]]

Latest revision as of 14:32, 4 October 2026

High-Speed High-Output Diesel Engines - 35 Years of Development of Railroad and Marine Applications

By Markus von Kienlin and G. W. Maybach


History

TO THE EXPERT, the name of Maybach Motorenbau immediately recalls a special class of engines characterized by the following outstanding features: high speed, light weight, small size, high fatigue strength (due to special design and production measures,) and low operating cost.

The unique development of the Zeppelin airship after the historic accident at Echterdingen in 1908, was decisively governed by the fact that Wilhelm Maybach, Gottlieb Daimler's collaborator, made available to Count Zeppelin an engine designed by his son, Karl Maybach. This was a 6-cyl 150 hp 1200 rpm engine with a fuel consumption of 254 g/hph and a weight-to-power ratio of no more than 2,99 kg/hp, in contrast to the engine installed in the first Zeppelin airship which had a weight of 26 kg/hp and a consumption of 508 g/hph. For the production of the new engine, Count Zeppelin and Wilhelm Maybach founded, on March 23, 1909, the Luftfahrzeug-Motorenbau G.m.b.H. which was affilleated to Luftschiffbau Zeppelin. The Maybach Motorenbau, which was entrusted to Karl Maybach from the outset, produced the engines for further Zeppelin airships and for aeroplanes. Among those engines, as early as 1917, highly rated high-compression high-altitude engines were built. Fig. 1 shows such a high-altitude aircraft engine. Fig. 2 is a sectional view of the cylinder liner and wrist pin area.

After the enforced interruption of almost the entire production at the end of World War I, new and related lines of production suitable for the skilled staff had to be found. The choice included Otto and diesel engines for a number of purposes. Research continued on Zeppelin airship engines including the well-known 550 hp VL-type engine (Fig. 3) for the airship "Graf Zeppelin," which accomplished the famous world tours under the command of the late Dr. Eckener, who until his death in 1954 was chairman of the Maybach Motorenbau. The first powerful high-speed diesel engine was developed in the Maybach workshops between 1919 and 1923. Construction of this G 4 engine (Fig. 4) was a remarkable venture, bearing in mind that at that time experience with high-speed diesel engines was actually only with submarine engines having a maximum speed of not more than 500 rpm, whereas the new 150 hp Maybach diesel engine had an operating speed of 1300 rpm.

Solid fuel injection was then still at its beginning, so that the G 4 engine had air injection. Fig. 4 shows the relative sizes of the diesel engine and the engine-driven air compressor needed for air injection.

Opinion at that time - which many still hold today - was that the high-speed engines despite their obvious advantages with respect to weight and reduced space requirements would have a shorter service life, have less favorable consumption figures, and be more prone to trouble. This opinion chiefly resulted from the fact that many firms tried to increase the output of their existent low-speed engines merely by increasing the engine speed and neglecting any improvements in design. Naturally, this led to setbacks which in turn gave rise to such widespread opinion. The Maybach Motorenbau, which even then had many years of experience in the field of high-speed Otto engines, adopted new methods by designing a diesel engine especially for high speed and by aiming simultaneously at a corresponding increase of operating reliability and service life, two requirements obviously necessary for airship engines.

Since the first results with high-speed diesel engines were very encouraging, the development of these engines was continued and their output increased. The output of the first 6-cyl engine was soon raised to 210 hp at 1400 rpm. followed in 1930 by a 12-cyl V-engine providing 410 hp at 1400 rpm which, at a later date, was brought to 600 and 650 hp by exhaust gas supercharging (Fig. 5). In 1931 two of these 410 hp GO 5 engines were installed in the "Fliegender Hamburger," the first high-speed railcar-train of the German State Railway (Fig, 6). Its schedule speed of 77.6 mph, no less than the regular daily top speed of 100 mph, on the route between Hamburg and Berlin was a sensation at the time among railroad experts.

These Maybach engines of the GO-type - primarily designed as power units for railcars - set the fashion for diesel train operation of this power class in Europe until the year 1940. Hundreds of railcars and diesel trains were equipped with these engines in Germany, France, Belgium, Holland, Sweden, Norway, and Spain. Moreover, the engines met with favorable reception in naval construction, and were increasingly used for high-speed passenger boats, customs cruisers, yachts, coastguard crafts, and other craft.

The GO-type were designed so that the cylinder blocks of 6.30 in. bore and 7.88 in. stroke, made in one casting with the cylinder head, were assembled in an aluminum crankcase. The engines had direct injection, and four valves per cylinder controlled by overhead camshafts. The pistons were made of aluminum. Convenient mounting of running parts posed a special problem at the time for these powerful engines. White metal bearings could not be used, and lead-bronze bearings were still in too early stages of development. Therefore, it was decided to provide both the crankshaft and big ends with roller bearings, the composition of material and thermal treatment for which were the subject of lengthy and painstaking development by the company.

In operation, these engines attained mileages between general overhauls of as much as 100,000 miles (about 2500 operating hours) and more, which prior to World War I was regarded as quite satisfactory.

After termination of World War Il the situation was entirely different. Under the influence of the immense advance of the diesel locomotive in the United States and elsewhere, railway companies became increasingly interested in converting their heavy traction service to diesel operation.

If European manufacturers wanted to take part in this development, they had to counter the American diesel locomotive with its heavy and slow-running engine by a type of vehicle which would be available for a more universal application, offer more favorable weight conditions, and which in respect of output and service life would at least equal the heavy engines.

For Maybach Motorenbau, as the representative of the European trend, the demand for long life of the engine and its components became predominant. New lightweight small-size engines had to be designed which would be capable of offering mileages between overhauls at least equal to those then attained in rail traction by the finest types of slow-speed engines. Beyond that, these engines were supposed not only to compete successfully in the field of diesel traction, but also to conquer new fields of application.

Considering that for the aforementioned GO-type engines the roller bearings in the big end of the connecting rods were the limiting factor for the running performance, it was obvious that further development should aim at plain bearings for the big ends and a modernization of all running parts. The best solution in this direction appeared to be the discwebbed crankshaft, which inherently has greatly improved vibration characteristics, and which also provides ideal conditions for the entire bearing problem.

This was confirmed by the experience gained by Maybach Motorenbau during the last war with more than 50,000 Otto engines ranging from 300 to 700 hp at 3000 rpm, equipped with disc-webbed crankshafts and installed in heavy-duty military vehicles (tanks and heavy trucks). As a mater of fact, the adaptation of the disc-webbed crankshaft to the aforementioned pre-war GO-type, resulted in the change-over to the so-called GTO-"tunnel" type crankcase, representing a unique jump ahead in development.

Proof of this was the service results achieved by the German Federal Railway with its 600 bhp Maybach GTO type tunnel engines. It was revealed by spot checks that the bearings of these engines operating at 1400 rpm were still like new after distances of 300,000-400,000 miles. All other wearing parts showed such slight wear that a general overhaul was not anticipated before 600,000-700,000 miles, corresponding to about 12,000 to 15,000 operating hr. Early in 1955, these 600 bhp engines had exceeded an aggregate mileage of more than 6 million miles without any major engine overhauls (1).*

Today there are more than 1000 of these 12-cyl GTO engines rated up to 800 hp in service. Of these 840 are installed in shunting locomotives of the European standard type V.60, running for 20,000-25,000 hr before a piston check is scheduled.

Thus an optimum solution was found for the problems presented by the running gear of this engine type. For more powerful engines, however, with continuous outputs of about 100 hp per cylinder and with similar or rather better service behavior, one more step was necessary. That step was the introduction of the tunnel construction with roller main bearings surrounding the crank webs. The performance of this was proved first by thorough trials with powerful diesel engines of a speed range between 2400 and 2600 rpm. Eventually this led to the present Maybach MD tunnel engine, a design which has aroused great interest in the technical world. With this design, the problem of building a high-speed diesel engine with a running performance equal to, of better than that of a good slow-speed engine, can be regarded as solved.

Before giving a more detailed description of the MD design, it may be advantageous to discuss some general problems pertaining to high engine speed, and to report on the research techniques which contributed essentially to the development of the modern Maybach diesel engines.


General Questions Relating to High Engine Speed

It is, first of all, necessary to emphasize a fact often insufficiently realized by users: engine speed alone does not provide an adequate criterion for the genuine high-speed character of an engine. Even the mean piston speed does not provide such a criterion, since the mean effective pressure must also be taken into account, as well as whether the piston speed is used with high or low mean effective pressure at equal engine speed.

Some performance characteristics, important as far as engine loading is concerned, are now considered. Besides the absolute engine power N and the specific power per cylinder N/z, it is quite common to use the ratio of power per unit of swept volume N/V, characterizing the degree of utilization of the swept volume. The ratio of power per unit of piston area, N/F, also has a bearing in this connection: it signifies the total engine power related to the total area of the piston crowns. The piston crown is one of the engine parts subjected to the highest thermal load. To dissipate the heat accumulated here by means of conduction, radiation, or coolants is a matter of vital importance which may well be a limiting factor in increasing the specific engine power.

Strictly speaking, the ratios of power per unit of displaced volume, and power per unit of piston area can only provide a valid scale of comparison if the cylinders compared have the same size and shape. The influence of the stroke-to-bore ratio on these parameters has been investigated by Jaklitsch (2). Under certain limiting assumptions, he found that this influence is of the order of Vs/d, (s = stroke d =bore) a result derived statistically for diesel engines designed for aircraft and road vehicles, and it may be assumed, that this influence is equally applicable to larger types of diesel engines.

The fact that the ratio of power per unit of swept volume is influenced by the stroke-to-bore ratio can be explained by the fact that as this ratio changes there is also a change in the ratio of the heat-affected surface to the corresponding swept volume. With the longer stroke engine, where the piston diameter is smaller, the distance of heat flow from the center of the piston crown to the cylinder wall is smaller. Therefore, the temperatures at the center of the piston crown become higher if the piston diameter is increased. The results of similar investigations on the influence of cylinder bore and stroke-to-bore ratio on the piston temperature are plotted in Fig. 7. This graph shows that, even if mean effective pressure, piston speed, and stroke-to-bore ratio remain constant, an increase in the cylinder bore causes higher temperatures at the center of the piston crown. It will also be noted that the increase is steeper with short-stroke engines than with long-stroke engines. In order to obtain more realistic parameters for comparisons, the ratios of power per unit of swept volume and power per unit of piston area must be related to the stroke-to-bore ratio √s/d as follows:

"specific power per unit of swept volume" (N/V)s/d

"specific power per unit of piston area" (N/F)s/d





Apart from having such parameters as the specific power-to-volume ratio, and the specific power-to-piston area ratio, which are more indicative of the thermal loading of the pistons, it is also of importance to obtain criteria characterizing the mechanical stresses occurring in the rotating crankshaft assembly. This applies in particular to the big-end bearings, the loading of which might be characterized by the mass forces of the rotating and oscillating parts of the engine as well as by the maximum gas pressure. Assuming that, with the application of corresponding design principles, the weights of the rotating and oscillating engine parts vary with the third power of the piston diameter, a parameter a can be formed relating the mass forces to the unit of piston area, for example:


Jaklitsch calls this a value "running index" (2), and ascribes to it a major importance. The term "mass-force factor," however, appears to be more suitable as it relates more directly to the significance of the parameter. For it is accepted that, with a corresponding utilization of the cylinder diameter, the projected area of the big-end bearings increases with the square of the piston diameter, the massforce factor may well be accepted as a valid criterion for the bearing load due to the mass forces.

If the two engines compared are geometrically similar, that is, if the stroke-to-bore ratio remains the same, the above assumption is strictly true, as the masses in motion do vary with the third power of the piston diameter. In order to gain an idea in regard to the variation of the masses acting the big-end bearing When the stroke - to - bore ratio is modified, this ratio was altered in a V-engine and the variation of the masses acting on the bearing was calculated.

It was found that when the stroke-to-bore ratio was increased by as much as 60% the increase in weight was no more than 2-3%. It follows that, within reasonable limits, the mistake made by assuming that the variation of masses is proportional to d3 is insignificant.

F r o m this may be concluded that the engine with the most efficiently utilized crankshaft is the one which has the highest mass-force factor a, and, at the same time, can prove to be reliable in service and to have the service life expected for its application (5).

The diagram in Fig. 8 is intended to show the significance of the mass-force factor. For instance, if an engine has a speed of 1300 rpm and a cylinder bore of 7.28 in., with a stroke of 7.78 in. the mass-force factor becomes 672 ft/min?. If the same engine is accelerated to 1800 rpm, the mass-force factor increases to 1289 ft/min?. With a slow-speed engine of, say, 250 rpm, 17.72 in. bore and 25.58 in. stroke, the mass-force factor is no greater than 199 ft?/min?. Since both slow-speed and high-speed engines under consideration have actually been found to be very reliable in practice, it follows that the crankshaft assembly of the high-speed engine is much more efficiently utilized than that of the slow-speed engine.

In order to explain the significance of the mass-force factor still more in detail the characteristic parameters have been determined for some of the most important present-time locomotive engines of about 1000 bhp and more. The data are listed in Table 1. Four-cycle engines have been selected only so as to make a simple comparison of the parameters possible.

Two engines with equal characteristic parameters can be assumed to show equal service performance of their piston and crankshaft assemblies. This, however, holds only for engines of similar design. Therefore the parameters should never be compared on their own, but only under simultaneous consideration of the designs of the engines involved.

It appears from Table 1 that the specific power-to-piston area ratio of the locomotive engines - irrespective of their power and speed - is within the limits 210 to 345 bhp/ft?, excluding the engines represented by items 8 and 9, which will be discussed later. For the turbocharged stationary engines, rated at continuous speeds from 250 to 600 rpm, the respective power - to - piston area ratios range approximately between 93 and 186 bhp/ft?. From this comparison it becomes quite evident that the effort to ensure small bulk of the locomotive engines to make them suitable for their application, imposes high demands on engine design as well as on material when operational reliability and life of the wearing parts of both engine groups is to be the same. Even more revealing are here the high mass-force factors for the locomotive engines which range between 603 and 915 f t /min', whereas the corresponding figures for stationary engines lie only between 215 and 431 ft ⅔ /min?.

These simple considerations show that locomotive engines which have proved satisfactory in practical operation must be types of a highly meritorious design, for they have withstood the imposition of quite severe demands. In order to permit a comparison between different engines on the basis of the criteria developed above, a common basis of "equal loading" has to be defined. "Equal loading" of two engines specifically means that the mechanical and thermal loading of piston and crankshaft assemblies of the two engines is the same. This is characterized by:


The conception of geometric similarity is understood to cover not only the cylinders, (stroke and bore), but also all those parts of the engine which are subjected to any stresses. In all these comparisons, the mechanical efficiencies of the engines are assumed to be constant. From the well-known engine power equation:


Assuming that for two geometrically similar engines (s/d = constant) the mean piston speed Cm the mean effective pressure Po, the swept volume Ve and the ratio N/ are constant, the correlation between power and number of cylinders becomes:


Fig. 9 shows this functional relationship indicative of the increase in output obtained with an engine of the same total swept volume by increasing the number of cylinders. For instance, if a plant hitherto driven by one slow-speed 12-cyl engine is driven, instead, by eight high-speed 12-cyl engines which have altogether the same total swept volume as the one slow-speed engine, the output is doubled although mechanical and thermal stresses in the piston and crankshaft assembly are the same. If it were intended to achieve this doubling of output by enlarging the swept volume of the single slow-speed engine, the swept volume of that engine would have to be increased 2.8 times.

Finally, regarding the significance of the parameter of specific power output per unit of piston area as a factor characterizing engine loading, it may be used to divide engines into different load or performance categories. For instance certain ranges of this specific power-to-piston area factor can be assigned to the category of engines of high specific output, to the category of vehicle engines, the category of marine engines, and so on. Under these assumptions can be derived for N/F/Vs/d = constant and (s/d) = const.:

for a given load category and geometrically similar engines, the specific power-to-swept volume ratio is inversely proportional to the bore.

Fig. 10 shows the relationship between the specific power-to-swept volume factor and the bore for different values of the specific power-to-piston area factor. For example, with geometrically similar engines of equal thermal and mechanical stressing of their piston resp, crankshaft assemblies, the doubling of the bore would halve the power per unit swept volume. In the same figure data are plotted for four high-speed engines belonging to four different performance categories, and one slow-speed marine propulsion engine.

The data of these engines are listed in Table 2.

Table 2 shows that a normal high-speed engine (for example, Engine No. 1) has the same power output per unit of piston area as the slow-speed marine engine No. 5, where the power of the latter must be regarded as being rather high compared with other similar engines. With high-speed engines, however, by means of suitable measures such as piston cooling the specific power output per unit of piston area can be increased for marine engines to 304 bhp/ft?, as shown for No. 3 engine. Yet this still does not exhaust the possibilities of increasing the specific power output. As No. 4 engine shows, by an increase in speed, mean effective pressure, and by other measures, the specific power-to-piston area factor of the same engine can be raised to beyond 600 bhp/ft?, a value which cannot be approached even remotely by slow-speed engines. This comparison clearly demonstrates the possibilities for high-speed engines to increase their specific power output; it also demonstrates the wide power range which can be obtained with one and the same engine.

The higher the specific power-to-piston area factor is of an engine which has proved to be reliable in actual service, the higher is the standard of technical development which the particular engine can be said to have reached. Hereby the measures are quite decisive by means of which higher specific power output per unit piston area has been attained, without exerting a detrimental influence on the reliability of the engine.

In the high-speed Maybach MD engines, a great step forward was made with the introduction of pressure-oil piston cooling . Fig. I l gives several temperatures measured at different power outputs in the piston crowns and piston ring lands of a pressure-oil cooled and a noncooled piston. The comparison clearly shows that although the power output per unit of piston area was considerably increased, the temperatures in the compression ring area, due to the effectiveness of the piston cooling, did not exceed those measured in the conventional standard design. These temperatures determine if seizing of the compression rings will occur. The only temperatures which increased slightly were those in the center of the piston crown. This is due to the considerably higher thermal loading and to a slightly smaller conductivity of the steel crown. Since, however, the crown of the cooled piston is of heat-resistant material and not of aluminum, this temperature rise has no detrimental effect on service life.

So far, in the comparative evaluation of different engines, the common base, namely the engine loading, was understood to refer exclusively to the piston and crankshaft assemblies. However, cylinder heads and liners are both subjected to high stresses. This is due to the explosion pressure and also to the heating of combustion chamber walls during the combustion process.

To simulate the maximum stresses in the cylinder head and liner due to ignition pressure Pz, the tangential stress °mech acting on the external diameter of a thick-walled cylinder may be taken. This is calculated by:

mech = Pz d2 / 2 (d + b) b

where w h e re .

d= Internal diameter

b = Wall thickness

Correspondingly, maximum tensile stress due to thermal load Otherm of the cylinder head and liner may be taken to be proportional to the tangential stress on the external diameter of a cylinder that is internally heated and externally cooled.


° therm = 1 - U 8(d + б ) I n (1 + 26)

where:

E = Modulus of elasticity

v= Poisson's number

B = Coefficient of expansion

AT = Difference between inner and outer wall temperature


It becomes apparent from Eg. 4 and 5 that where the same material is used, stressing of the walls in cylinder heads and liners depends on the ignition pressure Pz, on the difference in wall temperature ST, on the internal diameter d, and on the wall thickness &.

As regards ignition pressure Pz it may be assumed that this remains practically unchanged where engines of different size and uniform mean effective pressure Pe are concerned. However, when the latter decreases, the ignitionpressure will also decline.

Given the same material, the difference in wall temperatures AT is directly proportional to wall thickness and specific heat flow. From the known engine equations the following proportions will result:


N ~ Pe Cm d2 N~ Q

o ~ Pe Cm d2 power output per cylinder

total heat flow through the walls

forming the combustion space

specific heat flow through the walls

forming the combustion space

Thus the following proportion may be taken for the wall

temperature:

AT ~ Pe Cm S (6)

Assuming uniform piston speed Cm and uniform mean effective pressure Pe,

AT ~ 6 (7)

In Fig. 12 a computation diagram has been plotted from Egs. 4, 5, and 7. This diagram, though based on conditions pertaining to the Maybach MD diesel engine, permits assessing for other engines the relationship between wall thickness of cylinder heads or liners, and mechanical and thermal stressing of walls at constant mean effective pressure. In this connection it should be noted that for the Maybach MD engine, of 7.38 in. bore and an average wall thickness of the cylinder head of 0.34 in., the mechanical and thermal stress figures have been entered as 100%.

Fig. 12 clearly shows that in a slow-running engine with

cylinders twice the diameter of the MD engine, with the

same mean effective pressure, and the same cylinder head

and liner wall thickness, the mechanical stresses in cylinder

head and liner walls are twice as high as in the case of the

quick-running engine. Thermal stressing of the walls only

differs very slightly. If, in this comparison, mechanical

stressing is kept constant in the slow-running engine, then

doubling the wall thickness will be required, in which case

thermal load will increase 2.4 times compared to the high-

speed engine.

For constant mechanical and thermal wall stressing and

equal piston speeds, a correlation between cylinder bore and

mean effective pressure was calculated from the above pro-

portions and plotted in Fig. 13. This shows clearly the ex-

tent to which the high-speed engine excels the medium- or

slow-speed engine in regard to the mean effective pressure

that can be realized. As an example, a diesel engine with

twice the cylinder diameter of the Maybach MD engine, and

having the same mean piston speed and the same mechan-

ical and thermal loadings of cylinder head and liner walls,

can be operated only at two-thirds the mean effective pres-

sure of the corresponding MD engine. This fact should be

taken into account because the possible thermal and me-

chanical loading of cylinder head and liner materials is prac-

tically the decisive factor today in limiting the specific power

output of a diesel engine.

For a long time, there was a widespread idea that high-

speed engines, because of their higher rpm and their gen-

erally higher piston speed have a greater liner wear than low-

speed engines. This idea has been discarded even by the

supporters of the slow-running engine.

It is argued today that the large bore of a slow-speed en-

gine also permits substantial overall wear before the cylin-

221

der liner must be replaced. Departing from the assumption

that the absolute wear per 1000 operating hr is about equal

in either case, the conclusion is that the cylinder liners of

a high-speed engine should be replaced at considerably shorter

i n t e r v a l s . thus resulting, as a rule, in higher costs for

spare parts, because any wear phenomena at this spot would

have an approximately constant relationship to the other

wearing parts of an engine (6). This conclusion, however,

stems from an assumption which in no way is represented by

actual existing conditions.

When studying technical literature, time and again one

finds the indication of 0.004 in. per 1000 per operating hr

as an average figure in regard to liner wear of large slow-

running marine engines. Depending on the nature of the fuel

used, this figure varies slightly upwards or downwards.

the other hand, there are operational results available today

from high-speed engines in railroad service which permit

certain conclusions. Fig. 14 shows the wearing quality of

some typical high-speed engines selected from a larger num-

ber of engines of the same type which for more than 5 yr

have been operated by the German Federal Railway (7).

engines concerned are 12-cyl Maybach engines, type GTO,

developing 600 bhp at 1400 rpm with a bore of 6.30 in. and

a stroke of 7.88 in., this being equal to a mean effective

pressure of 113.5 psi and a piston speed of 32.8 fps. These

engines still have uncooled pistons and therefore may read-

ily be compared with high-speed engines of another type.

With an average wear of 0.0063 in. related to 7500 hr, cyl-

inder wear in these engines is approximately 0.0008 in. for

every 1000 operating hr. These liner wear figures were all

measured where wear is greatest, namely, at the top dead

center of the topmost compression ring. As in the case of

cylinder bore, the permissible overall wear is in the neigh-

borhood of 0.016 in., reboring in connection with a major engine overhaul will not be required before some 20,000 op-

erating hr.

In this respect the objection may be raised that contrary

to the propulsion of sea-going ships, engines operated in rail

traction are not continously running at full load. This ob-

jection cannot be denied. However, it is a well-known fact

that continuous load changes, as they are the rule in rail

traction, subject the engine to increased thermal stressing,

and dust content of the induced air is another drawback for

railway engines. Wear figures obtained for more recently

installed MD-engines will be discussed later.

Apart from the wear resistance of an engine, the load on

the crank assembly is another factor of importance regarding engine service life, and here something of the influence

of increased engine speed may be shown. Characteristics

representing constant load on the main bearings of the crank-

shaft of an MD engine, the load being caused by ignition pres-

sure and mass forces, are plotted in Fig. 15 as a function of

torque and rotational speed. This graph shows that the load

on the main bearings at constant engine torque increases with

decreasing engine speed. Therefore, operating the engine

along a constant torque characteristic causes considerable

additional stressing of the main bearings. In order to obtain

power outputs as high as possible, it is from this point of

view more advisable to increase the speed rather than operate

at low speed and high torque. Operating the engine along the

propeller characteristic appears therefore to yield best serv-

ice results (8).

Based on the resulting bearing load the service life of the

roller main bearings was calculated. The lines of constant

service life have been plotted in Fig. 16 as a function of

power output and engine speed. It should be noted that this

calculation only applies to crankshafts with roller bearings.

From this graph can be seen that regarding service life con-

ditions are most favorable when with decreasing power out-

put engine speed is not reduced. It will also be noted that

if an engine is operated along the propeller curve, at a load

of about 83% of continuous power output, bearing life is

doubled, whereas with constant torque operation,e v e n a t

the lowest engine speeds there will be no increase in service

life. This again shows that increasing engine speed rather

than torque gives best results with respect to service life of

the crankshaft roller bearings.

The influence of high-speed on weight can readily be

seen in Table 1. When considering the column of weights

in this table the engines may be classified in three groups.

The first group with a weight-to-power ratio of about 20

to 22 1b/hp comprises the engines indicated under Nos. 1 and

These are 4-stroke engines with speeds up to 850 rpm,

built by European makers. Their specific power-to-piston area ratios and their mass-force factors are comparatively

low. The engines are quite heavy, thus having an essen-

tial bearing on locomotive weight. In the case of electric

transmissions the low speed will furthermore result in high

generator weights, unless a more expensive type incorporat-

ing two crankshafts and a step-up gear transmission for the

generator drive is adopted as for engine No. 2.

The second group refers to engines with a uniform weight

of some 16-18 1b/hp at 1000 rpm. Typical representatives

of this group are the two engine types nos. 3 and 4; these

are American 4-stroke locomotive engines (Alco and Cooper

Bessemer) of identical cylinder dimensions which are widely

used. Note that the weight reduction of these engines is

linked with an increase of the specific power-to-piston area

factor to about 344 bhp/ft?. For engines which have proved

to be satisfactory in actual service such values bear testi-

mony of a quite advanced stage in development. For com-

pleteness sake it should be mentioned, that into this cate-

gory belongs a widely used 2-stroke engine (General Motors)

16-cyl, weighing 15.8 tons, developing 1950 bhp at 835 rpm

corresponding to a weight-to-power ratio of 16.3 1b/bhp.

A definite step forward in regard to weight was the in-

troduction of engines of group III - engine nos. 5, 6 and 7 -

having a weight-to-power ratio of 6.5 to 1 1b/bhp.


These engines rotate at 1500 rpm and must therefore be classified

as high-speed engines. They originated in Europe and some

of them have gone through many years of development and

constitute an advanced form of powerful railcar engine.

In contrast to the United States, diesel rail traction in

Europe until World War Il was exclusively by the diesel rail

car. Here reference is made to the numerous high-speed

rail-cars and streamlined trains equipped with high-speed

Maybach diesel engines. The former German State Railways and other railroad companies operated such trains even

before the last war in multiple-units up to five cars powered by up to 2000 hp. This experience, supplemented by knowl-

edge obtained during the war years in all fields of engine

construction enabled the industry, by introducing engines

of this group, to set entirely new standards for the construc-

tion of powerful locomotives with a favorable power-to-

weight ratio.

Though it has not yet been generally recognized today,

these engines have no higher specific loading in regard to

their power ratings than typical low-speed engines, since

their specific power-to-piston area ratio, ranging from 278

to 334 bhp/ft?, is even lower than the corresponding values

of the American 4stroke engines mentioned before.

The mass-force factor of these engines, ranging from 790

to 915 ft/min?, is slightly higher; but this has not given

rise to any difficulties in practice, since the use of better

materials and improved machining techniques increased the

load bearing capability of the parts - especially of the con-

necting rod. Economically the use of better material was

possible as the bulk of the parts decreased.

Table 1 gives evidence of the substantial advantages of-

fered by high-speed engines in regard to weight. This re-

duced weight of the high-speed engine is an absolute ne-

cessity for the construction of powerful diesel locomotives,

and becomes even more important if for economic reasons

locomotives with not more than four axles are considered.

Development of Measuring Techniques for High-Speed Engines

Formerly, in development and testing of internal com-

bustion engines one had to rely fully on results obtained by

test bed endurance trials and on ensuing experience gained

i n p r a c t i c a l o p e r a t i o n . With this kind of testing it could

often take a long time before any weak spots in the engines

c a m e t o l i g h t . However, especially in the last 10 yr, elec-

trical measuring techniques have been so improved that it

is now possible to actually measure the mechanical load to

which an internal combustion engine is subjected. In the

case of high-speed engines the requirements with respect to

measuring methods are considerablym o r e s u n d e n o w i n ?

to the higher frequencies, so that recent development of

measuring techniques is of particular benefit to the high-

speed engines.

In order to anticipate the reliability of individual ma-

chine members, it is of prime importance to know the fa-

tigue strength of the material. The results from fatigue

strength tests can be presented in the form of a diagram in

which the number of load alternations prior to the fatigue

fracture is entered as a function of the ultimate strength.

was recognized by Wohler as long as a hundred years ago that

there is an interrelationship between the fatigue strength of a

steel and the load cycle, and that a material which has with-

stood a certain load level for a definite number of alternat-

ing stress cycles will not break. As can be seen from Fig.

17 this load level does not alter even when the number of

load cycles is increased from 10 million to 200 million (Fig.

18). For both high-speed and low-speed engines the number of 10 million load alternations is attained relatively quickly,

so that for the design the fatigue strength and not the tensile

strength has to be taken into account. It is quite natural that

when investigating the fatigue strength of a material there

will be some dispersion owing to irregularities in the surface

structure, and it so happens that in endurance tests not a

single fatigue characteristic is obtained but rather a range,

of which the lower stray field limitation supplies the prac-

tical values for calculating the operating reliability. In such

investigation regard must be paid to whether there are pure

tension-compression or bending stresses, or if there is a non-

uniform stress distribution. In the case of applying a bend-

ing load on small diameter rods or rods with notches, higher

alternating stress amplitudes might be acceptable, because

residual stresses as a result of machining the surface layer

may become particularly perceptible here.

In the Maybach stress laboratory various grades of steel

have been examined in respect of their endurance strengths.

In Fig. 19 the bending fatigue strength of various steels has

been plotted as a function of the tensile strength. The in-

dividual values clearly indicate that the service life of an-

nealed (hardened and tempered) steels increases with the

tensile strength. Therefore, the alloying constituents are

only of importance inasmuch as they ensure perfect and

thorough hardening. As a comparison with these measure-

ments, a characteristic curve "b" by Wellinger and Gimmel

(9) has been added to Fig. 19, showing general agreement

with the findings of Maybach Motorenbau as represented by

curve "a."

Apart from the influence of tensile strength on fatigue

strength, exhaustive studies were also made regarding the

influence exercised by surface finish and material purity.

Some results of such an investigation are shown in Fig. 20.

The graph shows that machining may have a considerable influence on the fatigue strength of the material, and that

under certain circumstances the advantage of high strength

as offered by high tensile steels may be offset entirely

by their poor machinability. As indicated in the graph, the

decrease in fatigue strength in the case of a forged surface

may be quite considerable. Similarly unfavorable condi-

tions are to be expected where impurities and heat-treat-

ment defects are present. However, by the use of modern

test methods it is possible today to ascertain a desired de-

gree of surface finish and purity of a material so that, when

properly inspected, the minimum fatigue strength of the lat-

ter can be realized. Apart from the surface finish, the in-

fluence exercised by fretting corrosion on fatigue strength

is also of considerable importance.

In this connection the bending fatigue strength of a high

tensile steel clamped between two jaws of unhardened car-

bon steel was determined by the Maybach stress laboratory.

It is shown in Fig. 21 that due to the action of fretting cor-

rosion phenomena the bending fatigue strength of this rod

was reduced to as low as 28,400 psi. Another test speci-

men of the same material, soft-nitrided, attained a bend-

ing fatigue strength of 71,000 psi under the same circum-

s t a n c e s . Consequently, the elimination of fretting corrosion

by nitriding and the compressive stresses thereby induced in the surface, increased the bending fatigue strength of this

material by 150%.

Once the fatigue strength of a material is known, the de-

termination of the actual loads on individual structural mem-

bers is necessary, and particularly the pattern of the stresses

induced by the loads. An excellent way to ascertain the

direction of major deformation and/or principal stresses, even

in the case of structural members with complicated contours,

is the brittle lacquer method which, as long ago as 1924,

was evolved by Maybach Motorenbau in connection with the

development of engines for the airship "ZR III," the "Los

Angeles," which on Oct. 13, 1924, started for its epic flight

across the Atlantic Ocean.

In this method, the component considered is coated with

a special lacquer, in the surface of which cracks - the so-

called elongation lines - will show up at stresses below the

elastic limit of the structural members. These elongation

lines, originating always vertically to the tensile load, first

appear in the surface area which is subjected to highest

stresses. As an example, Fig. 2 shows the image of elongation

lines on a flat bar under a bending load. In the area under

tensile load (bottom of Fig. 22) the elongation lines are di-

rected perpendicular to the tensile strains, and in the area

of compressive load (top of Fig. 22) they are directed in line

with the compressive strain. When the stress pattern has been

determined, a suitable strain-measuring instrument may be

used to measure the actual magnitude of the stresses.

Practical application may be shown by the images of

elongation lines in a fork connecting rod in Fig. 23. In the

rod on the left hand side of the figure the lacquer was ap-

plied prior to applying the tensile load, and on the right

hand side prior to relieving the load. In this way, the first

and second directions of main stresses are indicated.

subsequent strain measuring with strain gages pasted perpen-

dicularly to the elongation lines, the stress distribution in

the connecting rod can be determined. Local stress peaks

thus found can be eliminated or reduced to acceptable lim-

its by suitable modifications in design.

Due to the smallness of present-day strain gages it is easy

to measure the stresses even in lubricating oil holes having,

for example, a diameter of only 0.315 in. The effects of

such holes in crankshafts have been determined by the May-

bach stress laboratory (10). As may be seen from Fig. 24,

stress concentrations are best removed by widening the hole

in a slightly conical form. In spite of this, however, round-

ing off the rim of the hole will still be necessary to obtain a faultless surface. Care must be taken to ensure that the

location of the hole subjected to maximum stress is not on

the outside of the rim, but somewhat more to the inside.

Thanks to the high standard of modern measuring tech-

niques it is also possible to determine the stresses in the

crankshafts of engines in motion. In this respect, investi-

gations were made at Friedrichshafen on a 16-cyl MD en-

gine. Strain gages were applied to each web of the crank-

shaft, and the leads were brought to the outside through slip

rings. By way of an automatically operating multiple switch

gear these gages were connected with an oscilloscope, which

filmed the load diagrams of the individual strain gages in

rapid succession. At the same time, by means of a torsional

vibration gage developed by the Works, torsional vibration

amplitides were measured at the free end of the engine crank-

shaft and likewise filmed on an oscilloscope.

The load diagrams established at the crank webs are so-

called "cumulative curves" of the local crankshaft loading.

These curves were evaluated under two aspects: (1) the oc-

currence of maximum loading, (maximum crankshaft torque

in regard to magnitude and location), and (2) by harmonic

analysis, in order to obtain a comparison between the mea-

sured local load and the results of the torsional vibration computation supplemented by the measured vibration am-

plitude at the free end of the shaft.

In Fig. 25 two series of typical load diagrams are shown

for the eight throws of a 16-cyl V-engine crankshaft (crank-

pin 1 on the driving end). During this measuring procedure

the engine output was 2500 bhp at 1800 rpm. The diagrams

to the left of the schematic shaft were plotted for the shaft

not fitted with a torsional vibration damper, whereas those

directly to the right of the crankshaft were plotted for an

assembly fitted with a very effective type of viscous damper.

The test record sbove each series of load diagrams repre-

sents the corresponding torsional vibration amplitude mea-

sured at the free end of the crankshaft. When examining

the illustrations it must be borne in mind that owing to vary-

ing degrees of sensitivity of the strain gages, the scale for

the amplitude in the load diagrams is not the same for all

t r o w s . The diagrams at the extreme right represent the

summation of the crank torques as calculated from the in-

dicator diagrams of individual cylinders. The scale of the

amplitude of the calculated torque diagrams always coin-

cides with that of the corresponding measured-load diagrams,

whereas the scale of the abscissae is considerably compressed.

It appears from the comparison that the measured torques

in the throws, whether or not a damper is fitted, are actually

smaller than those computed. In addition, there is evidence

that the stresses when a damper is used are smaller still;

and the shape of the load diagrams for the shaft having an

efficient damper will thus be approximate to the shape of the

corresponding calculated diagrams.

In order to give an idea of the stress distribution along

the shaft, the maximum positive and negative stresses se-

lected from the corresponding load diagrams (Fig. 26) have

been plotted against the length of the shaft for operation

both with and without a torsional vibration damper. It will be noted that maximum torque occurs in the middle of the

shaft. For comparative purposes, the calculated torques

have been shown as well.

From this investigation one may appreciate that with an

installation having favorable torsional vibration character-

istics, the installation of a damper may bring little further

reduction in the stresses beyond those shown in Fig. 26: on

the other hand, lack of a damper in an installation with un-

favorable characteristics may bring higher stresses than those

indicated in the figure.

The amplitudes of the torsional vibrations at the free end,

and the load diagrams measured at the crank-throws, were

analyzed electronically in order to check the procedure by

w h i c h t h e s t r e s s e s d u e t o t o r s i o n a l v i b r a t i o n s c a n b e e s t i -

mated. Operation without a damper resulted in greatest

loads occurring close to the third natural frequency; for this

resonance range the measured and computed load ampli-

tudes of the harmonics of higher orders are plotted in Fig.

27 against the shaft length. Here harmonics of the 4th and

6.5th orders showed actual values up to 145% above those

calculated, whereas for all other orders the values deter-

mined were lower than those calculated. It must be borne

in mind that the correspondingly analyzed components of

the forces arising from gas pressure and inertia are not con-

tained in the calculated amplitudes of the harmonic oscil-

lations, but are included in the analyzed amplitudes actually

measured. As regards order of magnitude, it may be ap-

preciated from these measurements, an approximate deter-

mination of the stresses in the crankshaft can be obtained

by the vibration calculation for the case of resonance, sup-

plemented by the measurements of the vibration amplitude

at the free end of the shaft.

An electric indicator of Maybach's own design with a

seismic system is used to measure torsional vibrations. It

consists of a heavy symmetrical mass which revolves to gether with the engine crankshaft. The mass itself is con-

nected to the crankshaft by means of four spiral springs and

a damping device. Whenever there is any torsional vibration

of the crankshaft, the mass will maintain its uniform rotary

motion and the crankshaft will thus move against the mass.

This movement of the crankshaft causes a self-inductance

variation in coils forming a bridge fed with alternating cur-

rent. Supply of feeding voltage and pick-up of measuring

voltage takes place through a slip ring transmitter. The tor-

sional vibration indicator is operated over-critically. By

adequately tuning both mass and springs its natural frequency

could be brought down to 5 cps.

It is an advantage of this type of torsion indicator that

observation is possible during the test, so that increase in

vibration limits can be noted at once, and the test values

recorded remotely.

Pressures in the cylinders of high-speed engines are pref-

erably measured today by indicators based on the piezo-

electric principle. Very exact measurements are possible

with such indicators, provided that the length of the hole

connecting cylinder and indicator is shorter than its diame-

ter. Should this not be the case the test results will be grossly

falsified due to induced compression waves in the con-

necting channel. Fig. 28 shows a typical test record of an

8-cyl Maybach MD 440 engine operating at 1000 bhp at

1500 rpm where five items are recorded simultaneously: noz-

zle lift in the unit injector, plunger stroke in the unit in-

jector, pressure distribution in the precombustion chamber,

pressure distribution in the main cylinder space, and crank

angle marking. Valve lift and stroke of the plunger were

measured directly in the unit injector by inductive means,

the two pressure diagrams with the aid of piezoelectric quartz

indicators installed in the cylinder head, and the crank-an-

gle marking was obtained by means of make-and-break con-

r a c i s . All five test results were transmitted to a reed-type

oscillograph where they were recorded photographically. The diagram of the nozzle valve lift in Fig. 28 clearly

reveals with the marked kink the actual commencement of

injection (8.5 deg btdc). Regarding pressure distribution in

the precombustion chamber, a rapid rise approximately 4

deg crank angle after opening of the nozzle valve can be

recognized. This 4 deg crank angle, corresponding to 0.5

millisec, represents the ignition delay of the fuel.

When comparing the pressure distribution in the precom-

bustion chamber with that in the cylinder it will be readily

observed that during the process of combustion there is com-

pression-wave action between precombustion chamber and

cylinder. This, however, is less perceptible in the cylinder

than in the precombustion chamber.

A further example of measuring instruments which have

been employed for the progressive development of Maybach

engines is the air-speed indicator of the firm's own design.

This device can be arranged immediately before the inlet

valve in the intake pipe and is used to measure the speed

and the direction of air flowing through the inlet valve. In

this way, it is possible to supplement the pressure measure-

ments in cylinder, exhaust and intake pipes carried out to

determine optimum scavenging conditions. In principle, the

air speed indicator consists of a small baffle plate which, by

a torsion rod, is connected with two small soft-iron plates;

these in turn are arranged in the air gap of inductive coils.

Under the action of the air flow impact on the baffle, the

small soft-iron plates are displaced, whereby self-induct-

ance variations are set up in the coils forming the bridge cir-

cuit of a carrier frequency amplifier. The self-inductance

variations (proportional to the variation in air speed) are

transformed by the amplifier into changes in voltage which

are recorded by an oscilloscope. The natural frequency of

the air speed indicator is above 100 cps. Damping of the

coil system is achieved by filling the latter with a viscous

damping compound.

General Description of MD-Engine Range

Having dealt with the history of Maybach Motorenbau and with the techniques available today for continuing research now given on and development of these engines, certain deails are now given on the progressive development of the MD-engines.

The experience gained with high-speed diesel engines since 1923, and particularly tests with powerful diesel engines in the speed range of 2400-2600 rpm, eventually led to the Maybach tunnel engine of the MD type running generally at a speed around 1500 rpm. Like earlier Maybach engines, the MD tunnel-type engines are single-acting 4-stroke engines. Ranging from 4- to 16-cyl, they are built either as in-line engines or as V models, naturally-aspirated or turbocharged. Outstanding design features of the MD engines are:

1. Forged one-piece disc-webbed crankshaft carried in a single piece tunnel housing.

2. Pressure-oil cooled aluminum pistons (forced circulation cooling system) with detachable steel crowns.

3. Individual cylinder heads with central pre-combustion chamber, and six small well-cooled valves, with automatic backlash adjustment.

4. Unit injectors for each cylinder.

5. Tunnel crankcase fabricated of steel castings, steel plates and profiles.

6. Large number of repetitive components for the whole engine range.

These points will now be discussed more in detail.

Disc-Webbed Crankshaft and Tunnel-Form Crankcase - In the MD-design, almost the entire length of the engine is used for main and big-end bearings; the crankwebs, which in a conventional engine must be regarded as a loss in this

respect, are here encircled by roller main bearings.

results in the following advantages:

Short engine length with minimum distances between cyl-

inders - this is of great advantage regarding elastic defor-

mation and vibration problems.

Considerable reduction of bending stresses to which the

crankshaft is subjected, due to the crankwebs forming the

Particularly good conditions for all crankshaft bearings

as these are generously dimensioned.

Wide connecting-tod bearings of width nearly equal to

diameter are used without danger of edge loading. There-

fore liquid film lubrication can be assured under all oper-

Due to the comparatively small dimensions of such a disc-

webbed crankshaft, questions of material, flow of fibers,

surface hardness and quality are easier to solve than they

are for larger-sized crankshafts, especially of slow-running

engines.

As a result of its rugged construction and particularly of

its shorter length a disc-webbed crankshaft is at least 40%

stiffer than a conventional crankshaft having a pin of the

s a m e diameter. In order to demonstrate this effect more

clearly the natural frequencies of a conventional crankshaft

and a disc-webbed shaft have been compared in Fig. 29.

The two shafts are illustrated in Fig. 30. The conventional

crankshaft of the Maybach GO engine has a stiffness between

two adjacent piston masses of c = 18.2 × 106 in-lb/rad. Thus the natural frequency of the engine alone, with flywheel

but without vibration damper, becomes n,= 5870 min"!.

Within the speed range between 500 and 1400 rpm the 6th

order which is very strong is located at 980 rpm. On the

other hand, the disc-webbed crankshaft of the rebuilt GTO

MD engine has a stiffness of c = 53.2 × 106 in.-lb/rad

and a natural frequency of the engine alone without vibra-

tion damper of ny = 10,550 min"!.

With this high first nat-

ural frequency the 6th order lies outside the working speed

range, and since higher orders do not need to be taken into

consideration, the whole range from 500 to 1400 rpm is free

from resonance.

The advantage of the disc-webbed crankshaft design (11)

is not as easy to see for torsional loads as for bending loads,

because transfer of force from the crankpin to the web can-

not be avoided even in a disc-webbed shaft. Nevertheless,

the disc-webbed crankshaft still has superior form factors Ok

related to torsional loads: ax = 2.32 for the disc-webbed

crankshaft as compared with 0x = 2.79 for the conventional

crankshaft (Fig. 33).

Form factor refers to the ratio between the stresses actually

measured in the fillet and those calculated for the pin.