In internal combustion engine vibration modeling, it is typically assumed that the vibratory state of the engine does not influence the loads transmitted to the engine block from its moving internal components. This one-way-coupling assumption leads to energy conservation problems and does not account for Coriolis and gyroscopic interactions between the engine block and its rotating and reciprocating internal components. A new seven-degree-of-freedom engine vibration model has been developed that does not utilize this assumption and properly conserves energy. This paper presents time and frequency-domain comparisons of this model to experimental measurements made on an inline six-cylinder heavy-duty Diesel engine running at full load at peak-torque (1200 rpm) and rated (2100 rpm) speeds. The model successfully predicts the overall features of the engine’s vibratory output with model-experiment correlation coefficients as high as 70 percent for vibration frequencies up through third engine order. The results are robust to variations in the model parameters. Predictions are less successful at the detail level and at higher frequencies because of uncertainties in the actual imperfections of the test engine, and because of the influence of unmodeled engine components.

1.
Norling, R. L., 1978, “Continuous Time Simulation of Forces and Motion Within an Automotive Engine,” SAE paper No. 780665.
2.
Shiao
,
Y.-J.
,
Pan
,
C.-H.
, and
Moskwa
,
J. J.
,
1994
, “
Advanced Dynamic Spark Ignition Engine Modeling for Diagnostics and Control
,”
Int. J. Veh. Des.
,
15
, pp.
578
596
.
3.
Snyman
,
J. A.
,
Heyns
,
P. S.
, and
Vermeulen
,
P. J.
,
1995
, “
Vibration Isolation of a Mounted Engine Through Optimization
,”
Mech. Mach. Theory
,
30
, pp.
109
118
.
4.
Suh, C.-H., and Smith, C. G., 1997, “Dynamic Simulation of Engine-Mount Systems,” SAE paper No. 971940.
5.
Hoffman, D. M. W., and Dowling, D. R., 1999, “Modeling Fully Coupled Rigid Engine Dynamics and Vibrations,” SAE Paper No. 1999-01-1749, Proceedings, 1999 SAE Noise and Vibrations Conference, Vol. 2, Traverse City, MI, Society of Automotive Engineers, Warrendale, PA, pp. 747–755.
6.
Hoffman
,
D. M. W.
, and
Dowling
,
D. R.
,
2001
, “
Fully Coupled Rigid Engine Dynamics and Vibrations—Part I: Model Description
,”
ASME J. Eng. Gas Turbines Power
,
123
, pp.
677
684
.
7.
Hoffman, D. M. W., 1999, “In-Line Internal Combustion Engine Dynamics and Vibration,” Ph.D. thesis, University of Michigan, Ann Arbor, MI.
8.
Hoffman
,
D. M. W.
, and
Dowling
,
D. R.
,
1999
, “
Limitations of Rigid Body Descriptions for Heavy-Duty Diesel Engine Vibration
,”
ASME J. Eng. Gas Turbines Power
,
121
, pp.
197
204
.
9.
Zhao, H., and Reinhart, T., 1999, “The Influence of Diesel Engine Architecture on Noise Levels,” SAE Paper No. 1999-01-1747, Proceedings, 1999 SAE Noise and Vibrations Conference, Vol. 2, Traverse City, MI, Society of Automotive Engineers, Warrendale, PA, pp. 729–735.
10.
Winton (Hoffman
),
D. M.
, and
Dowling
,
D. R.
,
1997
, “
Modal Content of Heavy-Duty Diesel Engine Block Vibration
,”
SAE Trans.
,
106
, Section 6, Part 2, pp.
2802
2811
(SAE Paper No. 971948).
11.
Nakada
,
T.
, and
Tonosaki
,
H.
,
1994
, “
Study of the Excitation Mechanism of Half-Order Vibrations in an In-Line 4-Cylinder Internal Combustion Engine
,”
Trans. Jpn. Soc. Mech. Eng., Ser. C
,
60
, No.
577
, pp.
2977
2983
.
12.
Reinhart, T. E., 1997, private communication, Cummins Engine Company, Inc., Columbus, IN.
You do not currently have access to this content.