Evaluating the time-varying mesh stiffness of a planetary gear set using the potential energy method

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 228, Issue 3, 2014, Pages 535-547

  Liang, Xihui ^a   Zuo, Ming J ^a   Patel, Tejas H ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

mesh phasing; Mesh stiffness; planetary gear set; potential energy method

Indexed keywords

ANALYTICAL EQUATIONS; GEAR MESH STIFFNESS; GEAR TRANSMISSION SYSTEM; MESH PHASING; MESH STIFFNESS; PLANETARY GEAR SETS; TIME-VARYING MESH STIFFNESS; TRANSMISSION STRUCTURES;

FINITE ELEMENT METHOD; GEAR TEETH; POTENTIAL ENERGY; STIFFNESS;

EPICYCLIC GEARS;

EID: 84893659017     PISSN: 09544062     EISSN: 20412983     Source Type: Journal    
DOI: 10.1177/0954406213486734     Document Type: Article

References (25)

1. Chaari F, Fakhfakh T, Haddar M. Dynamic analysis of a planetary gear failure caused by tooth pitting and cracking. J Fail Anal Prev. 2006 ; 6: 73-78
2. Lin J, Parker R. Mesh stiffness variation instability in two-stage gear systems. Trans ASME J Vib Acoust. 2002 ; 124: 68-76
3. Wang J, Howard I. The torsional stiffness of involute spur gears. Proc IMechE, Part C: J Mechanical Engineering Science. 2004 ; 218: 131-142
4. Meagher J, Wu X, Kong D, et al. A comparison of gear mesh stiffness modeling strategies. In: Conference proceedings of the society for experimental mechanics series 12, Jacksonville, FL, USA, 1-4 February 2010, pp. 255-263.
5. Jia S, Howard I. Comparison of localized spalling and crack damage from dynamic modeling of spur gear vibrations. Mech Syst Signal Process. 2006 ; 20: 332-349
6. Pandya Y, Parey A. Failure path based modified gear mesh stiffness for spur gear pair with tooth root crack. Eng Fail Anal. 2013 ; 27: 286-296
7. Song C, Zhu C, Liu L. Mesh characteristics for marine beveloid gears with crossed axes. J Xian Jiaotong Univ. 2012 ; 46: 64-69
8. Chaari F, Fakhfakh T, Haddar M. Analytical modeling of spur gear tooth crack and influence on gearmesh stiffness. Eur J Mech A-Solid. 2009 ; 28: 461-468
9. Zhou X, Shao Y, Lei Y, et al. Time-varying meshing stiffness calculation and vibration analysis for a 16DOF dynamic model with linear crack growth in a pinion. J Vib Acoust. 2012 ; 134: 1-11
10. Chaari F, Baccar W, Abbes MS, et al. Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission. Eur J Mech A-Solid. 2008 ; 27: 691-705
11. Kasuba R, Evans JM. An extended model for determining dynamic loads in spur gearing. J Mech Des. 1981 ; 103: 398-409
12. Pintz A, Kasuba R, Frater JL, et al. Dynamic effects of internal spur gear drives. NASA Contractor Report. Report no. 3692, 1983.
13. Yang DCH, Sun ZS. A rotary model for spur gear dynamics. ASME J Mech Transm Automat Des. 1985 ; 107: 529-535
14. Yang DCH, Lin JY. Hertzian damping, tooth friction and bending elasticity in gear impact dynamics. ASME J Mech Transm Automat Des. 1987 ; 109: 189-196
15. Tian X, Zuo MJ and Fyfe KR. Analysis of the vibration response of a gearbox with gear tooth faults. In: ASME international mechanical engineering congress and exposition, Anaheim, CA, USA, 13-20 November 2004, pp. 4-10.
16. Chen Z, Shao Y. Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth. Eng Fail Anal. 2011 ; 18: 2149-2164
17. AI-Shyyab A, Kahraman A. A non-linear dynamic model for planetary gear sets. Proc IMechE, Part K: J Multi-body Dynamics. 2007 ; 221: 567-576
18. Woohyung K, Yeong LJ, Jintai C. Dynamic analysis for a planetary gear with time-varying pressure angles and contract ratios. J Sound Vib. 2012 ; 331: 883-901
19. Liang X, Zuo MJ and Guo Y. Evaluating time-varying mesh stiffness of planetary gear set using potential energy method. In: Proceedings of 7th world congress on engineering asset management, Daejeon, Korea, 8-10 October 2012.
20. Tian X. Dynamic simulation for system response of gearbox including localized gear faults. MS Thesis, Department of Mechanical Engineering, University of Alberta, Canada, 2004.
21. Xu B, Huang Y, Liu X, et al Elasticity and application. Beijing: China Machine Press ; 1983: 183-183.
22. Parker R, Lin J. Mesh phasing relationships in planetary and epicyclic gears. J Mech Des. 2004 ; 126: 365-370
23. Kahraman A. Load sharing characteristics of planetary transmissions. Mech Mach Theory. 1994 ; 29: 1151-1165
24. Tian T. Evaluating the mesh stiffness of a planetary gear structure with the sun gear having a tooth crack. MS Thesis, Department of Mechanical Engineering, University of Alberta, Canada, 2013.
25. ANSYS Inc. Structural Analysis Guide, Release 12.1, 2009.