The power transmission system is a critical component of any machine. Accordingly, the detailed analysis of this system is essential for both design purposes and the detailed assessment of machine performance. Due to the large number of possible power transmission system components and the nature of these systems, general power transmission system analysis methods have been difficult to develop. However, such analysis methods could meet a wide variety of needs for system design. This paper discusses the general power transmission system analysis approach developed by the authors over the last several years based on their study of vehicle powertrains. The formulation and solution of the governing equations are discussed, and the ability of the approach in addressing critical design related issues is demonstrated through an example system simulation.
Issue Section:
Research Papers
1.
August
R.
Kasuba
R.
1986
, “Torsional Vibrations and Dynamic Loads in a Basic Planetary Gear System
,” ASME Journal of Vibration, Acoustics, Stress and Reliability in Design
, Vol. 108
, July, pp. 348
–353
.2.
Baumgarte, J. W., 1972, “Stabilization of Constraints and Integrals of Motion in Dynamic Systems,” Computer Methods in Applied Mechanics and Engineering, No. 1, pp. 1–16.
3.
Chang
C. O.
Nikravesh
P. E.
1985
a, “An Adaptive Constraint Violation Stabilization Method for Dynamic Analysis of Mechanical Systems
,” ASME Journal of Mechanisms, Transmissions, and Automation in Design
, Vol. 107
, pp. 488
–492
.4.
Chang
C. O.
Nikravesh
P. E.
1985
b, “Optimal Design of Mechanical Systems With Constraint Violation Stabilization Method
,” ASME Journal of Mechanisms, Transmissions, and Automation in Design
, Vol. 107
, pp. 493
–498
.5.
Chocholek, S. E., and Ferbitz, R. C., 1972, “Restrictive Differentials,” SAE Paper No. 720903.
6.
Chocholek
S. E.
1988
, “The Development of a Differential for the Improvement of Traction Control
,” IMechE
, C368/88
, pp. 75
–83
.7.
Dugoff, H., Fancher, P. S., and Segal, L., 1970, “An Analysis of Tire Traction Properties and Their Influence on Vehicle Dynamic Performance,” SAE Paper No. 700377.
8.
Freeman
J. S.
Velinsky
S. A.
1989
, “Comparison of the Dynamics of Conventional and Worm-gear Differentials
,” ASME Journal of Mechanisms, Transmissions, and Automation in Design
, Vol. 111
, Dec., pp. 605
–610
.9.
Freeman, J. S., Haug, E. J., Kuhl, J. G., and Tsai, F. F., 1993, “Dynamic Simulation for Vehicle Virtual Prototyping,” Computer Aided Design of Rigid and Flexible Mechanical Systems, Periera and Ambrosio, eds., Kluwer Academic Publishers, The Netherlands, Series E: Applied Sciences, pp. 533–554.
10.
Freeman, J. S., and Solis, D., 1994, “Concurrent Engineering in Mechanical Systems Design—Virtual Prototyping: A New Tool,” SAE Paper 941673.
11.
Freeman, J. S., and Velinsky, S. A., 1995, “Mixed Planar Spatial Modeling for Multibody Dynamics,” ASME Journal of Mechanical Design, in press.
12.
Fu¨hrer
C.
Leimkuhler
B.
1989
, “Numerical Methods for Differential-Algebraic Equations Describing Constrained Mechanical Motion
,” Numer. Math.
59
, pp. 55
–69
.13.
Gear, C. W., 1971, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, N.J.
14.
Gear
C. W.
Petzold
L.
1984
, “ODE Methods for the Solution of Differential/Algebraic Systems
,” SIAM J. Number. Anal.
, Vol. 21
, No. 4
, August, pp. 716
–728
.15.
Gleasman, V. K., 1958, “Differential Gear Mechanism,” US Patent No. 2,859,641.
16.
Guntur
R.
Sankar
S.
1980
, “A Friction Circle Concept for Dugoff’s Tyre Friction Model
,” Int. J. of Vehicle Design
, Vol. 1
, No. 4
, pp. 373
–377
.17.
Haug, E. J., 1989, Computer-Aided Kinematics and Dynamics of Mechanical Systems, Volume 1: Basic Methods, Allyn and Bacon, Needham Heights, MA.
18.
Haug, E. J., and Yen, J., 1989, “Implicit Numerical Integration of Constrained Equations of Motion via Generalized Coordinate Partitioning,” ASME Design Tech. Conf. Proc., pp. 117–123.
19.
Hedman
A.
1993
, “Transmission Analysis-Automatic Derivation of Relationships
,” ASME Journal of Mechanical Design
, Vol. 115
, pp. 1031
–1037
.20.
Ishihara, T., and Emori, R. I., 1966, “The Torque Converter as a Vibrator Damper and Its Transient Characteristics,” SAE Paper No. 660368.
21.
Jandesak, J. V., 1961, “The Design of a Single-Stage Three-Element Torque Converter,” The Seventh Buckingdale Lecture Series, SAE Special Publication SP-186.
22.
Koch, L. G., 1972, “Powertrain—Vehicle Modeling to Simulate Shifting Transients of Off-Highway Vehicles,” SAE Paper No. 720044.
23.
Kotwicki, A. J., 1982, “Dynamic Models for Torque Converter Equipped Vehicles,” SAE Paper No. 820393.
24.
Moskwa, J. J., and Hedrick, J. K., 1987, “Automotive Engine Modeling for Real Time Control Application,” Proc. of 1987 American Control Conference, Paper No. WA10-11:00, pp. 341–346.
25.
Moskwa, J. J., and Hedrick, J. K., 1989, “Modeling and Validation of Automotive Engines for Control Algorithm Development,” Advanced Automotive Technologies-1989, ASME Pub. DSC-Vol. 13, pp. 237–247.
26.
Nikravesh
P. E.
Chung
I. S.
1982
, “Application of Euler Parameters to the Dynamic Analysis of Three-Dimensional Constrained Mechanical Systems
,” ASME Journal of Mechanical Design
, Vol. 104
, pp. 785
–791
.27.
Nikravesh, P. E., 1988, Computer-Aided Analysis of Mechanical Systems, Prentice Hall, Englewood Cliffs, NJ.
28.
Orleanda
N.
Chace
M. A.
Calahan
D. A.
1977
, “A Sparsity-Oriented Approach to the Dynamic Analysis and Design of Mechanical Systems, Parts I and II
,” ASME Journal of Engineering for Industry
, Vol. 99
, pp. 773
–784
.29.
Phillips
A. W.
Assanis
D. N.
1989
, “A PC-based Vehicle Powertrain Simulation for Fuel Economy and Performance Studies
,” Int. J. of Vehicle Design
, Vol. 10
, No. 6
, pp. 639
–658
.30.
Powell, B. K., and Cook, J. A., 1987, “Nonlinear Low Frequency Phenomenological Engine Modeling and Analysis,” Proc. of 1987 American Control Conference, Paper No. WA10-10:30, pp. 332–340.
31.
Sakai, H., 1982, “Theoretical and Experimental Studies on the Dynamic Properties of Tyres, Part 4. Investigations of the Influences of Running Conditions by Calculation and Experiment,” Intl. J. of Vehicle Design, Vol. 3, No. 3.
32.
Sheth, P. N., and Uicker, J. J., Jr., 1971, “IMP (Integrated Mechanisms Program) A Computer-Aided Design Analysis System for Mechanisms and Linkage,” ASME Paper No. 71-Vibr-80.
33.
Shigley, J. E., and Mischke, C. R., 1989, Mechanical Engineering Design, 5th Ed., McGraw Hill, New York.
34.
Tennant, J. A., Giacomazzi, R. A., Powell, J. D., and Rao, H. S., 1979, “Development and Validation of Engine Models Via Automated Dynamometer Tests,” SAE Paper No. 790178.
35.
Tsangerides, M. C., and Tobler, W. E., 1985, “Dynamic Behavior of a Torque Converter with Centrifugal Bypass Clutch,” SAE Paper No. 850461.
36.
Unda, J., Garcia de Jalo´n, J., Losantos, F., and Enparantza, R., 1986, “A Comparative Study on Some Different Formulations of the Dynamic Equations of Constrained Mechanical Systems,” ASME Paper No. 86-DET-138.
37.
Wehage
R. A.
Haug
E. J.
1982
, “Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems
,” ASME Journal of Mechanical Design
, Vol. 104
, No. 1
, pp. 247
–255
.38.
Williamson, S. O., 1968. “Vehicle Drive-Line Dynamics,” SAE Paper No. 680584.
39.
Wolfson
B. P.
1987
, “Wheel Slip Phenomena
,” Int. J. of Vehicle Design
, Vol. 8
, No. 2
, pp. 177
–191
.
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