Experimental measurement of the effects of torque on the dynamic behavior and system parameters of planetary gears

Mechanism and Machine Theory

Volumn 74, Issue , 2014, Pages 370-389

  Ericson, Tristan M ^a   Parker, Robert G ^b  

^a YORK COLLEGE OF PENNSYLVANIA   (United States)

^b Virginia Polytechnic Institute and State University   (United States)

Author keywords

Gear dynamics; Planetary gear; Torque; Vibration

Indexed keywords

ACCURATE CALCULATIONS; DYNAMIC BEHAVIORS; GEAR DYNAMICS; INDEPENDENT MOTIONS; LUMPED PARAMETER MODELS; MECHANICS MODELING; PLANETARY GEARS; VIBRATION;

ANISOTROPY; DYNAMIC RESPONSE; EXPERIMENTS; NATURAL FREQUENCIES; STIFFNESS; VIBRATIONS (MECHANICAL);

TORQUE;

EID: 84893213896     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2013.12.018     Document Type: Article

References (59)

1. F. Cunliffe, J.D. Smith, and D.B. Welbourn Dynamic tooth loads in epicyclic gears J. Eng. Ind. Trans. 95 1974 578 584
2. M. Botman Epicyclic gear vibrations J. Eng. Ind. Trans. 98 1976 811 815
3. R. August, and R. Kasuba Torsional vibrations and dynamic loads in a basic planetary gear system J. Vib. Acoust. Stress. Reliab. Des. 108 1986 348 353
4. J. Lin, and R.G. Parker Analytical characterization of the unique properties of planetary gear free vibration J. Vib. Acoust. 121 1999 316 321
5. A. Kahraman Planetary gear train dynamics J. Mech. Des. 116 1993 713 720
6. P. Velex, and L. Flamand Dynamic response of planetary trains to mesh parametric excitations J. Mech. Des. 118 1996 7 14
7. T. Eritenel, and R.G. Parker Modal properties of three-dimensional helical planetary gears J. Sound Vib. 325 2009 397 420
8. V. Abousleiman, and P. Velex A hybrid 3d finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets Mech. Mach. Theory 41 2006 725 748
9. X. Wu, and R.G. Parker Modal properties of planetary gears with an elastic continuum ring gear J. Appl. Mech. 75 2008 1 10
10. R.G. Parker, and X. Wu Vibration modes of planetary gears with unequally spaced planets and an elastic ring gear J. Sound Vib. 329 2010 2265 2275
11. R.G. Parker, and X. Wu Parametric instability of planetary gears having elastic continuum ring gears J. Vib. Acoust. 134 2012 041011
12. A. Kahraman Free torsional vibration characteristics of compound planetary gear sets Mech. Mach. Theory 36 2001 953 971
13. D.R. Kiracofe, and R.G. Parker Structured vibration modes of general compound planetary gear systems J. Vib. Acoust. 129 2007 1 16
14. Y. Guo, and R.G. Parker Purely rotational model and vibration modes of compound planetary gears Mech. Mach. Theory 45 2010 365 377
15. T. Sun, and H. Hu Nonlinear dynamics of a planetary gear system with multiple clearances Mech. Mach. Theory 38 2003 1371 1390
16. V.K. Ambarisha, and R.G. Parker Nonlinear dynamics of planetary gears using analytical and finite element models J. Sound Vib. 302 2007 577 595
17. A. Al-shyyab, K. Alwidyan, A. Jawarneh, and H. Tlilan Non-linear dynamic behaviour of compound planetary gear trains: model formulation and semi-analytical solution Proc. Inst. Mech. Eng. K J. Multi-body Dyn. 223 2009 199 210
18. C.-J. Bahk, and R.G. Parker Analytical solution for the nonlinear dynamics of planetary gears J. Comput. Nonlinear Dyn. 2 2011 021007
19. Y. Guo, and R.G. Parker Dynamic analysis of planetary gears with bearing clearance J. Comput. Nonlinear Dyn. 7 2012 041002
20. V. Abousleiman, P. Velex, and S. Becquerelle Modeling of spur and helical gear planetary drives with flexible ring gears and planet carriers J. Mech. Des. 129 2007 95 106
21. C.G. Cooley, and R.G. Parker Vibration properties of high-speed planetary gears with gyroscopic effects J. Vib. Acoust. 134 2012 061014
22. J. Lin, and R.G. Parker Sensitivity of planetary gear natural frequencies and vibration modes to model parameters J. Sound Vib. 228 1999 109 128
23. Y. Guo, and R.G. Parker Sensitivity of general compound planetary gear natural frequencies and vibration modes to model parameters J. Vib. Acoust. 132 2010 011006
24. A. Saada, and P. Velex An extended model for the analysis of the dynamic behavior of planetary trains J. Mech. Des. 117 1995 241 247
25. A. Singh Epicyclic load sharing map - development and validation Mech. Mach. Theory 46 2011 632 646
26. J. Frater, R. August, and F.B. Oswald Vibration in Planetary Gear Systems with Unequal Planet Stiffness 1982 NASA
27. A. Toda, and M. Botman Planet indexing in planetary gears for minimum vibration ASME Design Engineering Technical Conference 1979 ASME St. Louis A80 A15730
28. X. Gu, and P. Velex A dynamic model to study the influence of planet position errors in planetary gears Journal of Sound and Vibration 331 2012 4554 4574
29. X. Gu, and P. Velex On the dynamic simulation of eccentricity errors in planetary gears Mech. Mach. Theory 61 2013 14 29
30. Y. Guo, and R.G. Parker Stiffness matrix calculation of rolling element bearings using a finite element/contact mechanics model Mech. Mach. Theory 51 2012 32 45
31. T.M. Ericson, and R.G. Parker Planetary gear modal vibration experiments and correlation against lumped-parameter and finite element models J. Sound Vib. 332 2013 2350 2375
32. T.M. Ericson, and R.G. Parker Design and conduct of precision planetary gear vibration experiments SAE 2009 Noise and Vibration Conference and Exhibition, SAE, St. Charles, IL 2009 (No. 2009-01-2071)
33. S.M. Vijayakar A combined surface integral and finite-element solution for a three-dimensional contact problem Int. J. Numer. Methods Eng. 31 1991 525 545
34. S.M. Vijayakar Planetary2D User's Manual 2006 Advanced Numerical Solutions LLC Hilliard, Ohio, 43026 USA
35. R.G. Parker, S.M. Vijayakar, and T. Imajo Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons J. Sound Vib. 237 2000 435 455
36. R.G. Parker, V. Agashe, and S.M. Vijayakar Dynamic response of a planetary gear system using a finite element/contact mechanics model J. Mech. Des. 122 2000 304 310
37. A. Kahraman, and S.M. Vijayakar Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set J. Mech. Des. 123 2001 408 415
38. A. Singh, A. Kahraman, and H. Ligata Internal gear strains and load sharing in planetary transmissions: model and experiments J. Mech. Des. 130 2008 072602
39. G. Liu, and R.G. Parker Dynamic modeling and analysis of tooth profile modification for multimesh gear vibration J. Mech. Des. 130 2008 121402
40. G. Liu, and R. Parker Nonlinear, parametrically excited dynamics of two-stage spur gear trains with mesh stiffness fluctuation J. Mech. Eng. Sci. 226 2012 1939 1957
41. C.G. Cooley, R.G. Parker, and S.M. Vijayakar A frequency domain finite element approach for three-dimensional gear dynamics J. Vib. Acoust. 133 2011 041004
42. T.M. Ericson, and R.G. Parker Natural frequency clusters in planetary gear vibration J. Vib. Acoust. 135 2013 061002
43. J. Lin, and R.G. Parker Structured vibration characteristics of planetary gears with unequally spaced planets J. Sound Vib. 233 2000 921 928
44. W.T. Thomson, and M.D. Dahleh Theory of Vibration with Applications 5th edition 1998 Prentice Hall Upper Saddle River, NJ
45. A. Gunduz, J.T. Dryer, and R. Singh Effect of bearing preloads on the modal characteristics of a shaft-bearing assembly: experiments on double row angular contact ball bearings Mech. Syst. Signal Process. 31 2012 176 195
46. D.L. Seager Conditions for neutralization of excitation by teeth in epicyclic gearing J. Mech. Eng. Sci. 17 1975 293 298
47. A. Kahraman Natural modes of planetary gear trains J. Sound Vib. 173 1994 125 130
48. M. While Roller element bearing vibration transfer characteristics: effect of stiffness J. Appl. Mech. 46 1979 677 684
49. T.A. Harris Rolling Bearing Analysis 4th edition 2001 John Wiley
50. E. Gargiulo A simple way to estimate bearing stiffness Mach. Des. 52 1980 107 110
51. B.J. Stone The state of the art in the measurement of the stiffness and damping of rolling element bearings Ann. CIRP 31 1982 529 538
52. T.L.H. Walford, and B. Stone Some damping and stiffness characteristics of angular contact bearings under oscillating radial load Proc. Inst. Mech. Eng. C247 1980 157 162
53. J. Kraus, J.J. Blech, and S.G. Braun In situ determination of rolling bearing stiffness and damping by modal analysis J. Vib. Acoust. Stress. Reliab. Des. 109 1987 235 240
54. R. Tiwari, and V. Chakravarthy Simultaneous estimation of the residual unbalance and bearing dynamic parameters from the experimental data in a rotor-bearing system Mech. Mach. Theory 44 2009 792 812
55. N.J. Ali, and J.M. Garcia Experimental studies on the dynamic characteristics of rolling element bearings J. Eng. Tribol. 224 2010 659 666
56. T.L.H. Walford, and B.J. Stone The measurement of the radial stiffness of rolling element bearings under oscillating conditions J. Mech. Eng. Sci. 22 1980 175 181
57. H.-V. Liew, and T.C. Lim Analysis of time-varying rolling element bearing characteristics J. Sound Vib. 283 2005 1163 1179
58. R.W. Gregory, S.L. Harris, and R.G. Munro Dynamic behavior of spur gears Proc. Inst. Mech. Eng. 178 1963 207 226
59. G.J. Cheon, D.H. Lee, H.T. Ryu, J.H. Kim, and D.C. Han A study on the dynamic characteristics of an epicyclic gear train with journal bearing Transmission and Driveline Symposium, 1999-01-1052 1999 SAE International