Variability of modal behavior in terms of critical speeds of a gear pair due to manufacturing errors and shaft misalignments

Journal of Sound and Vibration

Volumn 292, Issue 3-5, 2006, Pages 824-843

  Driot, N ^a   Perret Liaudet, J ^b  

^a UNIVERSITÉ DE LYON   (France)

^b LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MONTE CARLO METHODS; NATURAL FREQUENCIES; STATISTICAL METHODS; STIFFNESS;

MESH STIFFNESS; SHAFT MISALIGNMENT ERRORS; SPUR GEAR;

SHAFTS (MACHINE COMPONENTS);

EID: 33644605590     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.09.031     Document Type: Article

References (38)

1. J. Sabot, P. Ducret, A. Sibe, Integrated vibroacoustic approach to compute and reduce gear transmission noise, Proceedings of the Fourth World Congress on Gearing and Power Transmissions, Paris, Vol. 3, 1999, pp. 2039-2052.
2. L.S. Harris Dynamic loads on the teeth of spur gears Proceedings of the Institution of Mechanical Engineers 172 1958 87 112
3. R.W. Gregory, S.L. Harris, and R.G. Munro Dynamic behaviour of spur gears Proceedings of the Institution of Mechanical Engineers 178 1964 207 226
4. H. Opitz Noise of gears Philosophical Transactions of the Royal Society 263 1969 369 380
5. G. Niemann, J. Baethge, Drehwegfelher, Zahnfederharte und Geraush bei Stirnrardern, Zeitschrift des Vereines Deutscher Ingenieure 112(4) (1970) 205-214
6. G. Niemann, J. Baethge, Drehwegfelher, Zahnfederharte und Geraush bei Stirnrardern, Zeitschrift des Vereines Deutscher Ingenieure 112(8) (1970) 495-499 (in German).
7. D.B. Welbourn, Fundamental knowledge of gear noise - a survey, Proceedings of Conference on Noise and Vibrations of Engines and Transmissions, Cranfield Institute of Technology, Vol. C177/79, 1979, pp. 9-29.
8. D. Rémond, P. Velex, J. Sabot, Comportement Dynamique et Acoustique des Transmissions par Engrenages, Synthèse Bibliographique, Publications du CETIM, Senlis France, 1993 (in French).
9. M.S. Tavakoli, and D.R. Houser Optimum profile modifications for the minimization of static transmission errors of spur gears ASME Journal of Mechanisms, Transmissions, and Automation in Design 108 1986 86 95
10. R.G. Munro, N. Yildirim, Some measurements of static and dynamic transmission errors of spur gears, Proceedings of the International Gearing Conference, Newcastle, 1994, pp. 371-376.
11. A. Kahraman, and G.W. Blakenship Effect of involute tip relief on dynamic response of spur gear pairs ASME Journal of Mechanical Design 121 2 1999 313 315
12. K. Umezawa, H. Houjoh, S. Matsumura, S. Wang, Investigation of the dynamic behaviour of a helical gear system - dynamics of gear pairs with bias modification, Proceedings of the Fourth World Congress on Gearing and Power Transmissions, Paris, Vol. 3, 1999, pp. 1981-1990.
13. S. Sundaresan, K. Ishii, and D.R. Houser A robust optimization procedure with variations on design variables and constraints ASME Advances Design Automation 65 1 1993 379 386
14. S. Sundaresan, K. Ishii, and D.R. Houser A procedure using manufacturing variance to design gears with minimum transmission error ASME Journal of Mechanical Design 113 3 1991 318 324
15. T. Nonaka, A. Kubo, S. Kato, T. Ohmori, Silent gear design for mass-produced gears with scatters in tooth form accuracy, ASME Proceedings of the International Power Transmission and Gearing Conference, Scottdale, USA, Vol. 2, 1992, pp. 589-595.
16. N. Driot, E. Rigaud, J. Sabot, and J. Perret-Liaudet Allocation of gear tolerances to minimize gearbox noise variability Acustica united with Acta-Acustica 87 2001 67 76
17. E. Rigaud, and J. Sabot Effect of elasticity of shafts, bearings, casing and couplings on the critical rotational speeds of a gearbox VDI Berichte 1230 1996 833 845
18. E. Rigaud, J. Sabot, J. Perret-Liaudet, Effect of gearbox design parameters on the vibratory response of its housing, Proceedings of the Fourth World Congress on Gearing and Power Transmissions, Paris, Vol. 3, 1999, pp. 2143-2148.
19. M.S. Prabhu, and D.R. Houser A hybrid finite element approach for analyzing the load distribution and transmission error in thin-rimmed gears VDI Berichte 1230 1996 201 212
20. E. Rigaud, D. Barday, Modelling and analysis of static transmission error, effect of wheel body deformation and interactions between adjacent loaded teeth, Proceedings of the Fourth World Congress on Gearing and Power Transmissions, Paris, Vol. 3, 1999, pp. 1961-1972.
21. T. Conry, and A. Seireg A mathematical programming method for design of elastic bodies in contact ASME Journal of Applied Mechanics 93 1 1971 387 392
22. T. Conry, and A. Seireg A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems ASME Journal of Engineering for Industry 95 3 1973 1115 1122
23. H.N. Özgüven, and D.R. Houser Mathematical models used in gear dynamics - a review Journal of Sound and Vibration 121 1988 383 411
24. A. Karahman, and R. Singh Interactions between time-varying mesh stiffness and clearance nonlinearity in a gear pair Journal of Sound and Vibration 146 1991 135 156
25. R.G. Parker, S.M. Vijayakar, and T. Imajo Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons Journal of Sound and Vibration 237 3 2000 435 455
26. N. Takatsu, M. Kato, K. Inoue, M. Ishikawa, Analysis and experiment on the vibration transmission in a single stage gearbox, Proceedings of the JSME International Conference on Motion and Power Transmissions, Hiroshima, 1991, pp. 104-109.
27. P. Ducret, and J. Sabot Calcul du bruit rayonné par les carters des transmissions à engrenages: méthode et applications (Noise prediction of the housings of gearboxes: method and applications) Acustica united with Acta Acustica 84 1998 97 107 (in French)
28. T.C. Lim, and R. Singh Vibration transmission through rolling element bearings - part III: geared rotor system studies Journal of Sound and Vibration 151 1 1991 31 54
29. J. Perret-Liaudet, Etude des Mécanismes de Transfert entre l'Erreur de Transmission et la Réponse Dynamique des Boîtes de Vitesses d'Automobile, PhD Thesis, Ecole Centrale de Lyon 92-07, 1992 (in French).
30. J.M. De Mul, J.M. Vree, and D.A. Maas Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction - part I: general theory and application to ball bearings ASME Journal of Tribology 111 1 1989 142 148
31. J.M. De Mul, J.M. Vree, and D.A. Maas Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction - part II: application to roller bearings and experimental verification ASME Journal of Tribology 111 1 1989 149 155
32. J. Perret-Liaudet An original method for computing the response of a parametrically excited forced system Journal of Sound and Vibration 196 2 1996 165 177
33. A. Parkinson Robust mechanical design using engineering models, Special 50th Anniversary Design Issue, Combined Issue of the Journal of Mechanical Design and the Journal of Vibration and Acoustics 117 B 1995 48 54
34. R.Y. Rubinstein Simulation and the Monte Carlo Method 1981 Wiley New York
35. G. Taguchi Performance analysis design International Journal of Production Research 16 6 1978 521 530
36. J.R. D'Errico, and N.A. Zaino Statistical tolerancing using a modification of Taguchi's method Technometrics 30 4 1988 397 405
37. J.C. Yu, and K. Ishii Robust optimization method for systems with significant non linear effect ASME Advances Design Automation 65 1 1993 371 378
38. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions 1972 Dover Publications New York