Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth

Engineering Failure Analysis

Volumn 18, Issue 8, 2011, Pages 2149-2164

  Chen, Zaigang ^a   Shao, Yimin ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Gear mesh stiffness; Propagation; Sidebands; Tooth crack

Indexed keywords

ANALYTICAL FORMULATION; ANALYTICAL MODEL; CRACK DEPTHS; CRACK LENGTH; FREQUENCY SPECTRUM ANALYSIS; GEAR DYNAMICS; GEAR MESHES; GEAR SYSTEM; GEAR TOOTH CRACK; GEAR TOOTH ROOT CRACK; MESH STIFFNESS; OPERATING CONDITION; OPERATING PROCESS; SIDEBANDS; STATISTICAL INDICATORS; TOOTH CRACK; TOOTH ROOT CRACK; VIBRATION CHARACTERISTICS;

COMPUTER SIMULATION; CONDITION MONITORING; CRACK PROPAGATION; DYNAMIC RESPONSE; GEAR TEETH; MATHEMATICAL MODELS; MODELS; SPECTROSCOPY; SPECTRUM ANALYSIS; SPUR GEARS; STIFFNESS;

CRACKS;

EID: 80054744196     PISSN: 13506307     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfailanal.2011.07.006     Document Type: Article

References (40)

1. Wu S., Zuo M.J., Parey A. Simulation of spur gear dynamics and estimation of fault growth. J Sound Vib 2008, 317:608-624.
2. Loutridis S.J. Instantaneous energy density as a feature for gear fault detection. Mech Syst Signal Process 2006, 20(5):1239-1253.
3. 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.
4. 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.
5. Sirichai S. Torsional properties of spur gears in mesh using nonlinear finite element analysis, PhD. Curtin University of Technology; 1999.
6. Pimsarn M., Kazerounian K. Efficient evaluation of spur gear tooth mesh load using pseudo-interference stiffness estimation method. Mech Mach Theory 2002, 37:769-786.
7. Wang J. Numerical and experimental analysis of spur gears in mesh, PhD thesis. Curtin University of Technology; 2003.
8. Shao YM, Chen ZG, Wang SM. Simulation of spur gear pair with faults using FEA. In: ICROS-SICE international joint conference 2009; August 18-21, 2009 [Japan].
9. 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.
10. Cornell R.W. Compliance and stress sensitivity of spur gear teeth. ASME J Mech Des 1981, 103:447-459.
11. 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.
12. Yang D.C.H., Lin J.Y. Hertzian damping, tooth friction and bending elasticity in gear impact dynamics. J Mech Transm Aut Des 1987, 109(2):189-196.
13. Tian XH, Dynamic simulation for system response of gearbox including localized gear faults. Master's thesis. Edmonton, Alberta, Canada: University of Alberta; 2004.
14. Lewicki DG. Effect of rim thickness on gear crack propagation path. NASA/TM-1996-107229, ARL-TR-1110.
15. Lewicki DG. Gear crack propagation investigations. NASA/TM-1996-107147, ARL-TR-597.
16. Lewicki DG. Gear crack propagation path studies-guidelines for ultra-safe design. NASA/TM-2001-211073, ARL-TR-2468.
17. özgüven H.N., Houser D.R. Mathematical models used in gear dynamics - a review. J Sound Vib 1988, 121(3):383-411.
18. Parey A., Tandon N. Spur gear dynamic models including defects - a review. Shock Vib Dig 2003, 35(6):465-478.
19. Randall R.B. The application of fault simulation to machine diagnostics and prognostics. Int J Acoust Vib 2009, 14(2):81-89.
20. Randall RB. The use of simulation models to generate data corresponding to faults in machines. In: Proceedings of 2009 8th international conference on reliability. Maintainability and safety. ICRMS; 2009. p. 934-39.
21. Li C.J., Lee H., Choi S.H. Estimating size of gear tooth root crack using embedded modeling. Mech Syst Signal Process 2002, 16(5):841-852.
22. Li C.J., Lee H. Gear fatigue crack prognosis using embedded-dynamic-fracture model, gear dynamic model and fracture mechanics. Mech Syst Signal Process 2005, 19:836-846.
23. Endo H., Randall R.B., Gosselin C. Differential diagnosis of spall versus cracks in the gear tooth fillet region. JFAPBC 2004, 5:63-71.
24. Endo H., Randall R.B., Gosselin C. Differential diagnosis of spall versus cracks in the gear tooth fillet region: experimental validation. Mech Syst Signal Process 2009, 23:636-651.
25. Yang D.C.H., Su Z.S. A rotary model for spur gear dynamics. ASME J Mech Trans Aut Des 1985, 107:529-535.
26. Sainsot P., Velex P., Duverger O. Contribution of gear body to tooth deflections - a new bidimensional analytical formula. ASME J Mech Des 2004, 126:748-752.
27. Muskhelishvili NL. Some basic problems of the mathematical theory of elasticity. 2nd ed. English ed. The Netherlands: P. Noordhoff Limited; 1975.
28. Rebbechi B, Oswald F, Townsend D. Measurement of gear tooth dynamic friction. ASME, DE - vol. 88. In: Proceedings of the 7th power transmission and gearing conference; 1996. p. 355-63.
29. He S., Cho S., Singh R. Prediction of dynamic friction forces in spur gears using alternate sliding friction formulations. J Sound Vib 2008, 309:843-851.
30. Viadero F, Fernandez del Rincon A, Sancibrian R, et al. A model of spur gears supported by ball bearings. WIT transactions on modelling and simulation. vol 46, © WIT Press; 2007. p. 711-22.
31. Sawalhi N., Randall R.B. Simulating gear, bearing interactions in the presence of faults. Part I The combined gear bearing dynamic model and the simulation of localised bearing faults. Mech Syst Signal Process 2008, 22:1924-1951.
32. Sawalhi N., Randall R.B. Simulating gear, bearing interactions in the presence of faults. Part II Simulation of the vibrations produced by extended bearing faults. Mech Syst Signal Process 2008, 22:1952-1966.
33. Lebold M, McClintic K, Campbell R, et al. Review of vibration analysis methods for gearbox diagnostics and prognostics. Proceedings of the 54th meeting of the society for machinery failure prevention technology. Virginia Beach, VA; May 1-4, 2000. p. 623-34.
34. Forrester BD. Advanced vibration analysis techniques for fault detection and diagnosis in geared transmission systems, PhD thesis. Swinburne University of Technology; 1996.
35. Honarvar F., Marin H.R. New statistical moments for diagnostics of rolling element bearings. J Manuf Sci Eng 1997, 119:425-432.
36. Stewart RM. Some useful data analysis techniques for gearbox diagnostics, applications of time series analysis, PhD thesis. ISVR, University of Southampton; 1977.
37. Dron J.P., Bolaers F., Rasolofondraibe I. Improvement of the sensitivity of the scalar indicators (crest factor, kurtosis) using a denoising method by spectral substraction: application to the detection of defects in ball bearings. J Sound Vib 2004, 270(1-2):61-73.
38. Khang N.V., Cau T.M., Dien N.P. Modelling parametric vibration of gear-pair systems as a tool for aiding gear fault diagnosis. Technische Mechanik Band 24 Heft 2004, 3-4:198-205.
39. Dalpiaz G., Rivola A., Rubini R. Effectiveness and sensitivity of vibration processing techniques for local fault detection in gears. Mech Syst Signal Process 2000, 14(3):387-412.
40. Jia S., Howard I. Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations. Mech Syst Signal Process 2006, 20:332-349.