Dynamic analysis of a multi-shaft helical gear transmission by finite elements: Model and experiment

Journal of Vibration and Acoustics

Volumn 126, Issue 3, 2004, Pages 398-406

  Kubur, M ^a   Kahraman, A ^b   Zini, D M ^c   Kienzle, K ^c  

^a UNIVERSITY OF TOLEDO   (United States)

^b OHIO STATE UNIVERSITY   (United States)

^c GENERAL MOTORS CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEARINGS (MACHINE PARTS); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; HELICAL GEARS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SHAFTS (MACHINE COMPONENTS);

DYNAMIC MODEL; FINITE ELEMENT MODEL; MODAL SUMMATION TECHNIQUE; MULTI SHAFT HELICAL GEAR TRANSMISSION;

VIBRATIONS (MECHANICAL);

EID: 4444369691     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1760561     Document Type: Article

References (35)

1. Ozguven, H. N., and Houser, D. R., 1988, "Mathematical Models Used in Gear Dynamics - A Review," J. Sound Vib., 121, pp. 383-411.
2. Blankenship, G. W., and Singh, R., 1992, "A Comparative Study of Selected Gear Mesh Interface Dynamic Models," ASME International Power Transmission and Gearing Conference, DE 43-1.
3. Neriya, S. V., Bhat, R. B., and Sankar, T. S., 1984, "Effect of Coupled Torsional-Flexural Vibration of a Geared Shaft System on Dynamic Tooth Load," The Shock and Vibration Bulletin, 54(3), pp. 67-75.
4. Neriya, S. V., Bhat, R. B., and Sankar, T. S., 1985, "The Coupled Torsional-Flexural Vibration of a Geared Shaft System Using Finite Element Method," The Shock and Vibration Bulletin, 55(3), pp. 13-25.
5. Kahraman, A., Ozguven, H. N., Houser, D. R., and Zakrajsek, J. J., 1992, "Dynamic Analyses of Geared Rotors by Finite Elements," ASME J. Mech. Des., 114, pp. 507-514.
6. Ozguven, H. N., 1991, "A Non-Linear Mathematical Model for Dynamic Analysis of Spur Gears Including Shaft and Bearing Dynamics," J. Sound Vib., 145, pp. 239-260.
7. Maatar, M., and Velex, V., 1997, "Quasi-Static and Dynamic Analysis of Narrow-Faced Helical Gears With Profile and Lead Modifications," ASME J. Mech. Des., 119, pp. 474-480.
8. Kahraman, A., 1993, "Effect of Axial Vibrations on the Dynamics of a Helical Gear Pair," ASME J. Vibr. Acoust., 115, pp. 33-39.
9. Blankenship, G. W., and Singh, R., 1995, "A New Gear Mesh Interface Dynamic Model to Predict Multi-Dimensional Force Coupling and Excitation," Mech. Mach. Theor., 30, pp. 43-57.
10. Velex, P., and Maatar, M., 1996, "A Mathematical Model for Analyzing the Influence of Shape Deviations and Mounting Errors on Gear Dynamic Behavior," J. Sound Vib., 191, pp. 629-660.
11. Iida, H., Tamura, A., and Oonishi, M., 1985, "Coupled Torsional-Flexural Vibration of a Shaft in Geared System (3rd Report, Dynamic Characteristics of a Counter Shaft in a Gear Train System )," Bull. JSME, 28, pp. 2694-2698.
12. Lim, T. C., and Houser, D. R., 1997, "Dynamic Analysis of Layshaft Gears in Automotive Transmission," Proceedings of the SAE Noise and Vibration Conference, pp. 739-749.
13. Lim, T. C., and Li, J., 1999, "Dynamic Analysis of Multi-Mesh Counter-Shaft Transmission," J. Sound Vib., 219, pp. 905-919.
14. Vinayak, H., Singh, R., and Padmanabhan, C., 1995, "Linear Dynamic Analysis of Multi-Mesh Transmission Containing External, Rigid Gears," J. Sound Vib., 185, pp. 1-32.
15. Raclot, J. P., and Velex, P., 1999, "Simulation of the Dynamic Behavior of Single and Multi-Stage Geared Systems With Shape Deviations and Mounting Errors by Using a Spectral Method," J. Sound Vib., 220, pp. 861-903.
16. Kahraman, A., 1994, "Dynamic Analysis of a Multi-Mesh Helical Gear Train," ASME J. Mech. Des., 116, pp. 706-712.
17. Seager, D. L., 1969, "Dynamic Behavior of Helical Gears," ASME Paper 69-VIBR-16.
18. Gargiulo, E. P., Jr., 1980, "A Simple Way to Estimate Bearing Stiffness," Mach. Des., July 24, pp. 107-110.
19. Lim, T. C., and Singh, R., 1990, "Vibration Transmission Through Rolling Element Bearings, Part I: Bearing Stiffness Formulation," J. Sound Vib., 139, pp. 179-199.
20. Kahraman, A., and Blankenship, G. W., 1996, "Interactions Between Commensurate Parametric and Forcing Excitations in a System With Clearance," J. Sound Vib., 194, pp. 317-336.
21. Kahraman, A., and Singh, R., 1991, "Non-Linear Dynamics of a Geared Rotor-Bearing System With Multiple Clearances," J. Sound Vib., 144, pp. 469-506.
22. Parker, R. G., Vijayakar, S. M., and Imajo, T., 2000, "Non-Linear Dynamic Response of a Spur Gear Pair: Modeling and Experimental Comparison," J. Sound Vib., 237, pp. 435-455.
23. Vijayakar, S., Busby, H. R., and Houser, D. R., 1987, "Finite Element Analysis of Quasi-Prismatic Bodies Using Chebyshev Polynomials," Int. J. Numer. Methods Eng., 24, pp. 1461-1477.
24. Nelson, H. D., and McVaugh, J. M., 1976, "The Dynamics of Rotor-Bearing Systems by Finite Elements," ASME J. Eng. Ind., 98, pp. 593-600.
25. Ozguven, H. N., and Ozkan, Z. L., 1983, "Whirl Speeds and Unbalance Response of Multi-Bearing Rotors Using Finite Elements," ASME J. Vib., Acoust., Stress, Reliab. Des., 106, pp. 72-79.
26. Vazquez, J. V., 1999, "Using Transfer Functions to Model Flexible Supports and Casings of Rotating Machinery," Ph.D. Dissertation, University of Virginia, January.
27. Vazquez, J. V., Barrett, L. E., and Flack, R. D., 2001, "A Flexible Rotor on Flexible Bearing Supports: Stability and Unbalance Response," ASME J. Vibr. Acoust., 123, pp. 137-144.
28. Ewins, D. J., 1984, Model Testing, Theory and Practice, Research Studies Press Ltd., Hertfordshire, England.
29. Blankenship, G. W., and Kahraman, A., 1995, "Steady State Forced Response of a Mechanical Oscillator With Combined Parametric Excitation and Clearance Type Nonlinearity," J. Sound Vib., 185, pp. 743-765.
30. Kahraman, A., and Blankenship, G. W., 1996, "Interaction Between External and Parametric Excitations in Systems With Clearance," J. Sound Vib., 194, pp. 317-336.
31. Kahraman, A., and Blankenship, G. W., 1997, "Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Time-Varying Parameters," ASME J. Appl. Mech., 64, pp. 217-226.
32. Kahraman, A., and Blankenship, G. W., 1999, "Effect of Involute Tip Relief on Dynamic Response of Spur Gear Pairs," ASME J. Mech. Des., 121, pp. 313-315.
33. Kahraman, A., and Blankenship, G. W., 1999, "Effect of Involute Contact Ratio on Spur Gear Dynamics," ASME J. Mech. Des., 121, pp. 112-118.
34. Croasmun, D. J., 2002, "Development of an Integrated Encoder- and Accelerometer-Based Gear Transmission Error Measurement Methodology," M.S. Thesis, The University of Toledo, Toledo, Ohio.
35. Ozguven, H. N., and Houser, D. R., 1988, "Dynamic Analysis of High Speed Gears by Using Loaded Static Transmission Error," J. Sound Vib., 125, pp. 71-83.