Nonlinear dynamics of planetary gears using analytical and finite element models

Journal of Sound and Vibration

Volumn 302, Issue 3, 2007, Pages 577-595

  Ambarisha, Vijaya Kumar ^a   Parker, Robert G ^a  

^a Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; VIBRATION CONTROL;

CONTACT LOSS; LUMPED-PARAMETER MODEL; NONLINEAR SPRINGS; PLANETARY GEARS;

GEAR TEETH;

EID: 33847248403     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.11.028     Document Type: Article

References (31)

1. Kahraman A., and Blankenship G.W. Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters. Journal of Applied Mechanics 64 (1997) 217-226
2. Blankenship G.W., and Kahraman A. Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity. Journal of Sound and Vibration 185 5 (1995) 743-765
3. Botman M. Vibration measurements on planetary gears of aircraft turbine engines. Journal of Aircraft 17 5 (1980) 351-357
4. Cunliffe F., Smith J.D., and Welbourn D.B. Dynamic tooth loads in epicyclic gears. ASME Journal of Engineering for Industry (1974) 578-584
5. Botman M. Epicyclic gear vibrations. ASME Journal of Engineering for Industry (1976) 811-815
6. Hidaka T., and Terauchi Y. Dynamic behaviour of planetary gear (1st report: load distribution in planetary gear). Bulletin of the JSME-Japan Society of Mechanical Engineers 19 132 (1976) 690-698
7. Hidaka T., Terauchi Y., and Ishioka K. Dynamic behaviour of planetary gear (2nd report: displacement of sun gear and ring gear). Bulletin of the JSME-Japan Society of Mechanical Engineers 19 138 (1976) 1563-1570
8. Hidaka T., Terauchi Y., Nohara M., and Oshita J. Dynamic behaviour of planetary gear (3rd report: displacement of ring gear in direction of line of action). Bulletin of the JSME-Japan Society of Mechanical Engineers 20 150 (1977) 1663-1672
9. Kahraman A. Planetary gear train dynamics. Journal of Mechanical Design 116 3 (1994) 713-720
10. Kahraman A. Natural-modes of planetary gear trains. Journal of Sound and Vibration 173 1 (1994) 125-130
11. Kahraman A. Load sharing characteristics of planetary transmissions. Mechanism and Machine Theory 29 8 (1994) 1151-1165
12. Lin J., and Parker R.G. Analytical characterization of the unique properties of planetary gear free vibration. Journal of Vibration and Acoustics 121 3 (1999) 316-321
13. Lin J., and Parker R.G. Structured vibration characteristics of planetary gears with unequally spaced planets. Journal of Sound and Vibration 233 5 (2000) 921-928
14. Lin J., and Parker R.G. Sensitivity of planetary gear natural frequencies and vibration modes to model parameters. Journal of Sound and Vibration 228 1 (1999) 109-128
15. Lin J., and Parker R.G. Natural frequency veering in planetary gears. Mechanics of Structures and Machines 29 4 (2001) 411-429
16. Lin J., and Parker R.G. Planetary gear parametric instability caused by mesh stiffness variation. Journal of Sound and Vibration 249 1 (2002) 129-145
17. A. Kahraman, G.W. Blankenship, Planet mesh phasing in epicyclic gear sets, Proceedings of International Gearing Conference, Newcastle, 1994, pp. 99-104.
18. Parker R.G. A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration. Journal of Sound and Vibration 236 4 (2000) 561-573
19. Ambarisha V.K., and Parker R.G. Suppression of planet mode response in planetary gear dynamics through mesh phasing. ASME Journal of Vibration and Acoustics 128 (2006) 133-142
20. Parker R.G., and Lin J. Mesh phasing relationships in planetary and epicyclic gears. Journal of Mechanical Design 126 (2004) 365-370
21. Velex P., and Flamand L. Dynamic response of planetary trains to mesh parametric excitations. ASME Journal of Mechanical Design 118 (1996) 7-14
22. Parker R.G., Vijayakar S.M., and Imajo T. Non-linear dynamic response of a spur gear pair: modeling and experimental comparisons. Journal of Sound and Vibration 237 3 (2000) 435-455
23. Parker R.G., Agashe V., and Vijayakar S.M. Dynamic response of a planetary gear system using a finite element/contact mechanics model. Journal of Mechanical Design 122 3 (2000) 304-310
24. Kahraman A., and Vijayakar S.M. Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set. Journal of Mechanical Design 123 3 (2001) 408-415
25. Kahraman A., Kharazi A.A., and Umrani M. A deformable body dynamic analysis of planetary gears with thin rims. Journal of Sound and Vibration 262 (2003) 752-768
26. Yuksel C., and Kahraman A. Dynamic tooth loads of planetary gears sets having tooth profile wear. Mechanisms and Machine Theory 39 (2004) 695-715
27. S.M. Vijayakar, Calyx user's Manual 〈http://ansol.com〉.
28. Vijayakar S.M. A combined surface integral and finite element solution for a three-dimensional contact problem. International Journal for Numerical Methods in Engineering 31 (1991) 524-546
29. Vijayakar S.M., Busby H.R., and Houser D.R. Linearization of multibody frictional contact problems. Computers and Structures 29 (1988) 569-576
30. X. Wu, R.G. Parker, Modal properties of planetary gears with an elastic continuum ring gear, ASME Journal of Applied Mechanics (2006), submitted for publication.
31. Kahraman A. On the response of a preloaded mechanical oscillator with a clearance: period-doubling and chaos. Nonlinear Dynamics 3 (1992) 183-198