Non-smooth dynamics of spur gears with manufacturing errors

Journal of Sound and Vibration

Volumn 306, Issue 1-2, 2007, Pages 271-283

  Bonori, Giorgio ^a   Pellicano, Francesco ^a  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ERROR ANALYSIS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; VIBRATION ANALYSIS;

GEAR TOLERANCE; LOCAL ERRORS; NON-SMOOTH DYNAMICS; NONLINEAR VIBRATIONS;

SPUR GEARS;

EID: 34447501818     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.05.013     Document Type: Article

References (33)

1. Harris S.L. Dynamic loads on the teeth of spur gears. Proceedings of the Institution of Mechanical Engineers 172 2 (1958) 87-100
2. Gregory R.W., Harris S.L., and Munro R.G. Dynamic behavior of spur gears. Proceedings of the Institution of Mechanical Engineers 178 (1963-1964) 207-218
3. Walker H. Gear tooth deflection and profile modification. The Engineer 14 (1938) 409-412
4. Mark W.D. Analysis of the vibratory excitation of gear systems: basic theory. Journal of Acoustical Society of America 63 5 (1978) 1409-1430
5. C.H. Chung, G. Steyer, T. Abe, M. Clapper, C. Shah, Gear noise reduction through transmission error control and gear blank dynamic tuning, Proceedings of the 1999 Noise and Vibration Conference, SAE Technical Paper 1999-01-1766, 1999.
6. 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
7. Ozguven H.N., and Houser D.R. Mathematical models used in gear dynamics-a review. Journal of Sound and Vibration 121 3 (1988) 383-411
8. Hsu C.S., and Cheng W.-H. Steady-state response of a dynamical system under combined parametric and forcing excitations. Journal of Applied Mechanics (1974) 371-378
9. Benton M., and Seireg A. Simulation of resonances and instability conditions in pinion-gear systems. Journal of Mechanical Design 100 (1978) 26-32
10. Wang C.C. Rotational vibration with backlash: part 1. Journal of Mechanical Design 100 (1978) 363-373
11. Wang C.C. Rotational vibration with backlash: part 2. Journal of Mechanical Design 103 (1981) 387-409
12. Cai Y. Simulation on the rotational vibration of helical gears in consideration of the tooth separation phenomenon (a new stiffness function of helical involute tooth pair). Journal of Mechanical Design 117 (1995) 460-469
13. Kahraman A., and Singh R. Non-linear dynamics of a spur gear pair. Journal of Sound and Vibration 142 1 (1990) 49-75
14. Amabili M., and Rivola A. Dynamic analysis of spur gear pairs: steady-state response and stability of sdof model with time-varying meshing damping. Mechanical Systems and Signal Processing 11 3 (1997) 375-390
15. Kahraman A., and Singh R. Dynamics of an oscillator with both clearance and continuous non-linearities. Journal of Sound and Vibration 151 3 (1992) 180-185
16. 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
17. Kahraman A., and Blankenship G.W. Interactions between commensurate parametric and forcing excitations in a system with clearance. Journal of Sound and Vibration 194 3 (1996) 317-336
18. Natsiavas S. Periodic response and stability of oscillators with symmetric trilinear restoring force. Journal of Sound and Vibration 134 2 (1989) 315-331
19. Tomlinson G.R., and Lam J. Frequency response characteristics of structures with single and multiple clearance-type non-linearity. Journal of Sound and Vibration 96 1 (1984) 111-125
20. Theodossiades S., and Natsiavas S. Non-linear dynamics of gear-pair systems with periodic stiffness and backlash. Journal of Sound and Vibration 229 2 (2000) 287-310
21. Ozguven H.N. A non-linear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics. Journal of Sound and Vibration 145 2 (1991) 239-259
22. Munro R.G. Effect of geometrical errors on the transmission of motion between gears. Proceedings of the Institution of Mechanical Engineers 184 30 (1969-1970) 79-84
23. Umezawa K., Sato Y., and Kohno K. Influence of gear errors on rotational vibration of power transmission spur gear (1st report pressure angle and normal pitch error). Bulletin of Japanese Society of Mechanical Engineering 27 225 (1984) 569-575
24. Umezawa K., and Sato Y. Influence of gear errors on rotational vibration of power transmission spur gear (2nd report waved form error). Bulletin of Japanese Society of Mechanical Engineering 28 243 (1985) 2143-2148
25. Velex P., and Maatar M. A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behaviour. Journal of Sound and Vibration 191 5 (1996) 629-660
26. Mark W.D. Analysis of the vibratory excitation of gear systems. II: Tooth error representation, approximations, and application. Journal of Acoustical Society of America 66 6 (1979) 1758-1787
27. Ognjanovic M., and Subic A. Gear quality prediction using vibration analysis. Machine Vibration 2 (1993) 92-100
28. Cai Y., and Hayashi T. The linear approximated equation of vibration of a pair of spur gears (theory and experiment). Journal of Mechanical Design 116 (1994) 558-564
29. Hayashi T., and Hayashi I. The rotational vibration of a spur gear with tooth profile error. Bulletin of Research Laboratory of Precision Machinery and Electronics, Tokyo Institute of Technology 38 (1976) 35-42
30. Kim T.C., Rook T.E., and Singh R. Effect of smoothening functions on the frequency response of an oscillator with clearance non-linearity-Letter to the Editor. Journal of Sound and Vibration 263 3 (2003) 665-678
31. 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) 525-545
32. Dudley D.W., and Townsend D.P. Dudley's Gear Handbook (1992), McGraw-Hill, Inc., New York, USA
33. ®, IMSL Fortran Library User's Guide, MATH/LIBRARY, Vols. 1 and 2, Visual Numerics Inc., USA, 2003.