Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: Period-one motions

Journal of Sound and Vibration

Volumn 284, Issue 1-2, 2005, Pages 151-172

  Al Shyyab, A ^a   Kahraman, A ^b  

^a UNIVERSITY OF TOLEDO   (United States)

^b The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DYNAMIC LOADS; EQUATIONS OF MOTION; FOURIER TRANSFORMS; MATRIX ALGEBRA; SHAFTS (MACHINE COMPONENTS); STIFFNESS; TORQUE;

GEAR CONTACT RATIOS; GEAR TRAINS; HARMONIC BALANCE METHOD (HBM); NONLINEAR DYNAMIC ANALYSIS;

GEARS;

EID: 17444374935     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2004.06.010     Document Type: Article

References (25)

1. H.N. Özgüven, and D.R. Houser Mathematical models used in gear dynamics - a review Journal of Sound and Vibration 121 1988 383 411
2. G. W. Blankenship, R. Singh, A comparative study of selected gear mesh interface dynamic models, Proceedings of the Sixth International Power Transmission and Gearing Conference, Phoenix, 1992, pp. 137-147.
3. A. Kahraman, and R. Singh Non-linear dynamics of a spur gear pair Journal of Sound and Vibration 142 1990 49 75
4. G.W. Blankenship, and A. Kahraman Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity Journal of Sound and Vibration 185 1994 734 765
5. A. Kahraman, and G.W. Blankenship Interactions between commensurate parametric and forcing excitations in a system with clearance Journal of Sound and Vibration 194 1996 317 335
6. H. Vinayak, R. Singh, and C. Padmanabhan Linear dynamic analysis of multi-mesh transmissions containing external rigid gears Journal of Sound and Vibration 185 1995 1 32
7. J.P. Raclot, and P. Velex Simulation of the dynamic behaviour of single and multi-stage geared systems with shape deviations and mounting errors by using a spectral method Journal of Sound and Vibration 220 1999 861 903
8. T.C. Lim, and J. Li Dynamic analysis of multi-mesh counter-shaft transmission Journal of Sound and Vibration 219 1999 905 918
9. H. Iida, A. Tamura, K. Kikuchi, and H. Agata Coupled torsional-flexural vibration of a shaft in a geared system of rotors (1st report) Bulletin of the JSME 23 1980 2111 2117
10. H. Iida, A. Tamura, and M. Oonishi Coupled torsional-flexural vibration of a shaft in a geared system (3rd report) Bulletin of the JSME 28 1985 2694 2698
11. H. Iida, A. Tamura, and H. Yamamoto Dynamic characteristics of a gear train system with softly supported shafts Bulletin of the JSME 29 1986 1811 1816
12. T. Iwatsubo, S. Arii, and R. Kawai Coupled lateral-torsional vibration of rotor system trained by gears Bulletin of the JSME 27 1984 271 277
13. K. Umezawa, T. Ajima, and H. Houjoh Vibration of three axis gear system Bulletin of JSME 29 1986 950 957
14. M. Kubur, A. Kahraman, D. Zini, and K. Kienzle Dynamic analysis of multi-mesh helical gear sets by finite elements Journal of Vibration and Acoustics 126 2004 398 406
15. C. S. Hsu, W. H. Cheng, Steady state response of a dynamical system under combined parametric and forcing excitations, Journal of Applied Mechanics (1974) 371-378.
16. M. Benton, and A. Seireg Factors influencing instability and resonances in geared systems Journal of Mechanical Design 103 1981 372 378
17. W. Mollers, Parametererregte Schwingungen in einstufigen Zylinderradgetrieben, PhD Dissertation, Rheinisch-Westfalischen Technischen Hochschule Aachen, 1982.
18. J. Lin, and R.G. Parker Mesh stiffness vibration instabilities in two-stage gear systems Journal of Vibration and Acoustics 124 2002 68 76
19. A. Kahraman, and G.W. Blankenship Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters Journal of Applied Mechanics 64 1997 217 226
20. O.O. Sato, H. Shimojima, and S. Inano Dynamic torsional analysis of gear train system Bulletin of JSME 28 1985 1756 1780
21. A. Al-shyyab, and A. Kahraman Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method subharmonic motions Journal of Sound and Vibration 279 2005 417 451
22. Y.S. Choi, and S.T. Noah Forced periodic vibration of parametric piecewise-linear system Journal of Sound and Vibration 121 1988 117 126
23. A.V. Oppenhiem, and R.W. Schaffe Digital Signal Processing 1975 Prentice-Hall Englewood Cliffs, NJ
24. S. Rudiger Practical Bifurcation and Stability Analysis 2nd Edition 1994 Sprigner New York
25. A. Kahraman, and G.W. Blankenship Effect of involute contact ratio on spur gear dynamics Journal of Mechanical Design 121 1999 112 118