Dynamic simulation of planetary gear with tooth root crack in ring gear

Engineering Failure Analysis

Volumn 31, Issue , 2013, Pages 8-18

  Chen, Zaigang ^a   Shao, Yimin ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Dynamic response; Mesh stiffness; Planetary gear; Potential energy; Tooth crack

Indexed keywords

CRACK SIZES; DYNAMIC PERFORMANCE; INTERNAL GEAR; MESH STIFFNESS; NOISE AND VIBRATION; PLANETARY GEAR SETS; PLANETARY GEAR SYSTEMS; PLANETARY GEARS; POTENTIAL ENERGY PRINCIPLE; SIMULATED RESULTS; TIME AND FREQUENCY DOMAINS; TOOTH CRACK; TOOTH ROOT CRACK; TRANSMISSION RATIOS;

COMPUTER SIMULATION; CONDITION MONITORING; DYNAMIC RESPONSE; GEARS; POTENTIAL ENERGY; STIFFNESS;

CRACKS;

EID: 84874428028     PISSN: 13506307     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfailanal.2013.01.012     Document Type: Article

References (44)

1. Velex P., Flamand L. Dynamic response of planetary trains to mesh parametric excitations. J Mech Des 1996, 118:7-14.
2. Kahraman A., Blankenship G.W. Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters. J Appl Mech 1997, 64:217-226.
3. Lin J., Parker R.G. Planetary gear parametric instability caused by mesh stiffness variation. J Sound Vib 2002, 249(1):129-145.
4. Parker RG. Vibration of planetary gears with elastically deformable ring gears parametrically excited by mesh stiffness fluctuations. In: Proceedings of the ASME 2009 international design engineering technical conferences & computers and information in engineering conference. San Diego, California, USA; 2009.
5. Kahraman A. Load sharing characteristics of planetary transmissions. Mech Mach Theory 1994, 29(8):1151-1165.
6. Ligata H., Kahraman A., Singh A. An experimental study of the influence of manufacturing errors on the planetary gear stresses and planet load sharing. J Mech Des 2008, 130(1-9):041701.
7. Singh A. Load sharing behavior in epicyclic gears: physical explanation and generalized formulation. Mech Mach Theory 2010, 45:511-530.
8. Kahraman A. Natural modes of planetary gear trains. J Sound Vib 1994, 173(1):125-130.
9. Parker R.G., Wu Xionghua Vibration modes of planetary gears with unequally spaced planets and an elastic ring gear. J Sound Vib 2010, 329:2265-2275.
10. Vijayaraghavan D., Brewe D.E. Effect of misalignment on the performance of planetary gear journal bearings 2005, NASA Research Publication.
11. Chaari Fakher, Fakhfakh Tahar, Hbaieb Riadh, et al. Influence of manufacturing errors on the dynamical behavior of planetary gear. Int J Adv Manuf Technol 2006, 27:738-746.
12. Parker R.G. A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration. J Sound Vib 2000, 236(4):561-573.
13. Parker R.G., Lin J. Mesh phasing relationships in planetary and epicyclic gears. J Mech Des 2004, 126:365-370.
14. Ambarisha V.K., Parker R.G. Suppression of planet mode response in planetary gear dynamics through mesh phasing. J Vib Acoust 2006, 128:133-142.
15. Lin J., Parker R.G. Structured vibration characteristics of planetary gears with unequally spaced planets. J Sound Vib 2000, 233(5):921-928.
16. Chen Z.G., Shao Y.M., Lim T.C. Non-linear dynamic simulation of gear response under the idling condition. Int J Automot Technol 2012, 13(4):541-552.
17. Sun T., Hu H. Nonlinear dynamics of a planetary gear system with multiple clearances. Mech Mach Theory 2003, 38:1371-1390.
18. Al-shyyab A., Kahraman A. A non-linear dynamic model for planetary gear sets. Part K: J Multibody Dyn 2007, 1:567-576.
19. Yesilyurt I., Gu F., Ball A.D. Gear tooth stiffness reduction measurement using modal analysis and its use in wear fault severity assessment of spur gears. NDT&E Int 2003, 36:357-372.
20. Chaari F., Fakhfakh T., Haddar M. Dynamic analysis of a planetary gear failure caused by tooth pitting and cracking. JFAPBC 2006, 2:73-78.
21. Lewicki DG, Ballarini R. Effect of rim thickness on gear crack propagation path. NASA technical memorandum 107229. Army research laboratory. Technical report ARL-TR-1110; 1996.
22. Lewicki DG, Ballarini R. Gear crack propagation investigations. NASA technical memorandum 107147. Army research laboratory. Technical report ARL-TR-957; 1996.
23. Lewicki DG, Spievak LE, Wawrzynek PA. Consideration of moving tooth load in gear crack propagation predictions. NASA/TM-2000-210227; 2000.
24. Lewicki DG, Gear crack propagation path studies - guidelines for ultra-safe design. NASA/TM-2001-211073. ARL-TR-2468; 2001.
25. Lewicki DG. Effect of speed (centrifugal load) on gear crack propagation direction. NASA/TM-2001-211117. ARL-TR-1314; 2001.
26. 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(8):2149-2164.
27. Yuksel C., Kahraman A. Dynamic tooth loads of planetary gear sets having tooth profile wear. Mech Mach Theory 2004, 39:695-715.
28. Sparis P, Vachtsevanos G. A helicopter planetary gear carrier plate crack analysis and feature extraction based on ground and aircraft tests. In: Proceedings of the 2005 IEEE international symposium on intelligent control limassol, Cyprus; 2005. p.646-651.
29. Park S., Lee J., Moon U., et al. Failure analysis of a planetary gear carrier of 1200HP transmission. Eng Fail Anal 2010, 17:521-529.
30. Xi Wu, Jim Meagher, Andrew Sommer. A differential planetary gear model with backlash and teeth damage, rotating machinery, structural health monitoring, shock and vibration. In: Conference proceedings of the society for experimental mechanics series 8. vol. 5; 2011.
31. Dhanasekaran R., Kumar P.S., Santhi K. Crack failure of planetary gearbox sun gear. Int J Recent Trends Eng Technol 2010, 3(6):12-14.
32. Clegg R.E. Failure of planetary pinions in earth moving equipment-a failure analysis approach. Eng Fail Anal 2000, 7:35-41.
33. Chaari F., Baccar W., Abbes M.S., 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/Solids 2008, 27:691-705.
34. Chaari F., Fakhfakh T., Haddar M. Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness. Eur J Mech A/Solids 2009, 28:461-468.
35. Weber C. The deformation of loaded gears and the effect on their load carrying capacity. Sponsored research (Germany). British Dept. of Sci. and Ind. Res. Report No. 3; 1949.
36. Cornell R.W. Compliance and stress sensitivity of spur gear teeth. ASME J Mech Des 1981, 103:447-459.
37. Kasuba R., Evans J.W. An extended model for determining dynamic loads in spur gearing. J Mech Des, Trans Am Soc Mech Eng 1981, 103(2):398-409.
38. Yang D.C.H., Lin J.Y. Hertzian damping, tooth friction and bending elasticity in gear impact dynamics. J Mech, Transm, Automat Des 1987, 109(2):189-196.
39. Tian XH. Dynamic simulation for system response of gearbox including localized gear faults. Master's thesis. University of Alberta, Edmonton, Alberta, Canada; 2004.
40. Wu S., Zuo M.J., Parey A. Simulation of spur gear dynamics and estimation of fault growth. J Sound Vib 2008, 317:608-624.
41. Hidaka T., Terauchi Y., Nohara M., et al. Dynamic behavior of planetary gear - 3rd report: displacement of ring gear in direction of line of action. Bull JSME 1977, 20(150):1663-1672.
42. Karas F. nElastiche Formanderung und Lasterverteilung heim Doppleleingriff geroder Stirnradzahne. V.D.I. Forschh. vol. 406; 1941.
43. Yang D.C.H., Su Z.S. A rotary model for spur gear dynamics. ASME J Mech Trans Aut Des 1985, 107:529-535.
44. Liu G., Parker R.G. Dynamic modeling and analysis of tooth profile modification for multimesh gear vibration. J Mech Des 2008, 130(1-13):121402.