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Études comparatives de plusieurs modèles de la rigidité des roulements sur le comportement dynamique d'une boîtede vitesses automobile

Published online by Cambridge University Press:  21 June 2007

Adeline Bourdon
Affiliation:
LaMCoS, INSA-Lyon, CNRS UMR5259, Domaine Scientifique de la Doua, Bâtiment Jean d'Alembert, 8 rue des Sciences, 69621 Villeurbanne Cedex, France
Céline Bordegaray
Affiliation:
LaMCoS, INSA-Lyon, CNRS UMR5259, Domaine Scientifique de la Doua, Bâtiment Jean d'Alembert, 8 rue des Sciences, 69621 Villeurbanne Cedex, France
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Abstract

Les paliers à roulement sont présents dans de nombreux systèmes mécaniques et divers modèles numériques existent pour introduire leur comportement lors de simulations numériques représentatives du comportement dynamique du système mécanique considéré. L'objectif de cet article est dans un premier temps de présenter différentes modélisations existantes dans la littérature puis de comparer leur influence sur le comportement modal simulé d'une boîte de vitesses automobile.

Type
Research Article
Copyright
© AFM, EDP Sciences, 2007

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References

Maliha, R., Dogruer, C.U., Özgüven, H.N., Non-linear dynamic modelling of gear-shaft-disk-bearing systems using finite elements and describing functions, ASME J. Mechanical Design 126 (2004) 534541 CrossRef
Tanaka, E., Tanaka, N., Ohno, K., Vibration analysis of a multi-stage gear system including drive mechanism elements, JSME 44 (2001) 307314
Cheng, Y., Lim, T.C., Dynamics of Hypoid gear transmission with nonlinear time-varying mesh characteristics, ASME J. mechanical design 125 (2003) 373382 CrossRef
Al-shyyab, A., Kahraman, A., Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: sub-harmonic motions, J. Sound and Vibration 284 (2005) 417451 CrossRef
Li, M., Analysis, L. Yu of the coupled lateral torsional vibration of a rotor-bearing system with a misaligned gear coupling, J. Sound and Vibration 243 (2001) 283300 CrossRef
Li, M., Hu, H.Y., Jiang, P.L., Coupled, L. Yu axial-lateral-torsional dynamics of a rotor-bearing system geared by spur bevel gears, J. Sound and Vibration 254 (2002) 427446 CrossRef
Li, M., Dynamic, H.Y. Hu analysis of a spiral bevel-geared-rotor-bearing system, J. Sound and Vibration 259 (2003) 605624 CrossRef
Kubur, M., Kahraman, A., Zini, D.M., Kienzle Dynamic Analysis, K. of a multi-shaft helical gear transmission by finite elements: model and experiment, ASME J. Vibration and Acoustics 126 (2004) 398406 CrossRef
Tanaka, E., Houjoh, H., Mutoh, D, Motoshiromitzu, H., Ohno, K., Tanaka, N., Vibration and sound-radiation analysis for designing a low noise gearbox with multi-stage helical gear system, JSME 46 (2003) 11781185
Choi, B.L., Park, J.M., An improved rotor model with equivalent dynamic effects of the support structure, J. Sound and Vibration 244 (2001) 569581 CrossRef
Kang, Y., Chang, Y.P., Tsai, J.W., Mu, L.H., Chang, Y.F., An investigation in stiffness effects on dynamics of rotor-bearing-foundation systems, J. Sound and Vibration 231 (2000) 343374 CrossRef
Cheng, Y., Lim, T.C., Dynamics of Hypoid gear transmission with nonlinear time-varying mesh characteristics, J. Sound and Vibration 240 (2001) 519543 CrossRef
Rigaud, E., Mayeux, F., Driot, N., Perret-Liaudet, J., Mevel, B., Variabilité des régimes critiques d'une boîte de vitesses : influence des précharges des roulements, Mécanique & Industries 4 (2003) 107112 CrossRef
T.C. Lim, Vibration transmission through rolling element bearing in geared rotor system, Ph.D. Thesis Ohio State University, 1989
Dietl, P., Wensing, J., van Nijen, G.C., Rolling bearing damping for dynamic analysis of multi-body systems – Experimental and theoretical results, J. Multi-body Dynamic 214 (2000) 3343
D. Remond, P. Velex, J. Sabot, Comportement dynamique et acoustique des transmissions par engrenages, Synthèse bibliographique, Senlis : Publication CETIM, 1993
K. Umezawa, H. Houjoh, N. Ichikawa, S. Matsumura, Simulation of rotational vibration of a helical gear pair transmitting light loads, in Proceedings of the 3rd JSME International Conference on Motion and Power transmissions MPT'91, Hiroshima, Japan, 1991, pp. 85–91
K. Umezawa, H. Houjoh, N. Ichikawa, S. Matsumura, The influence of flank deviations on the vibration of a helical gear pair transmitting light loads, in Proceedings of the 6th ASME International Conference Power Transmissions and gearing, Phoenix 2, 1992, pp. 681–688
Choi, S.T., Mau, S.Y., Dynamic analysis of geared rotor-bearing systems by the transfer matrix method, ASME J. Mechanical Design 123 (2001) 562568 CrossRef
Peeters, F., Pintelon, R., Schoukens Y, J.. Rolain, E.S. Gutierrez, P. Guillaume, Identification of rotor bearing systems in the frequency domain, Part 1: Estimation of frequency response functions, Mechanical Systems and Signal Processing 15 (2001) 759773 CrossRef
Peeters, F., Pintelon, R., Schoukens, J., Rolain, Y., Identification of rotor bearing systems in the frequency domain, Part II: Estimation of modal parameters Mechanical Systems and Signal Processing 15 (2001) 775788
H.N. Ozguven, On the critical speed of continuous shaft-disk system, ASME J. Vibration, Acoustics, Stress, and Reliability in Design 106 (1984) 59–61 CrossRef
J.S. Rao, Rotor dynamics, John Wiley, New-York, 1983
Moon, B., Kang Non Linear Vibration, B.S. analysis of mechanical system (analysis with consideration of non-linear sensitivity), JSME 44 (2001) 1219.
A. Palmgren, Les roulements descriptions, théorie, applications, SKF 1967, 120 p.
E. Krämer, Dynamics of rotors and foundations, Springer Verlag, 1993, 383 p.
Marsh, E.R., Yantek, D.S., Experimental measurement of precision bearing dynamic stiffness, J. Sound and Vibration 202 (1997) 5566 CrossRef
T.C. Lim, R. Singh Vibration transmission through rolling element bearings. Part I: Bearing stiffness formulation, Part II: System studies, Part III: Gear rotor system studies, J. Sound and Vibrations 139 (1990)
J. Perret-Liaudet, Étude des mécanismes de transfert entre l'erreur de transmission et la réponse dynamique des boîtes de vitesses automobiles, Thèse École Centrale de Lyon, 1992
A. Bourdon, Modélisation dynamique globale des boîtes de vitesses automobile, Thèse : Institut National des Sciences Appliquées de Lyon 1997. Disponible en ligne arXiv:http://docinsa.insa-lyon.fr/these/ pont.php?id=bourdon
C. Bard, Modélisation du comportement dynamique des transmissions de puissance par engrenages, Thèse : Institut National des Sciences Appliquées de Lyon, 1995
M.D. Rajab, Of the transmissibility through rolling-element bearing under radial and moment loads Modelling, These, Ohio State University, 1982
W.B. Young. Dynamic modelling and experimental measurements of a gear shaft and housing system, These, Ohio State University, 1988
Kang, Y., Chang, Y.P., Tsai, J.W., Mu, L.H., Chang, Y.F., An investigation in stiffness effects on dynamics of rotor-bearing-foundation systems, J. Sound and Vibration 231 (2000) 343374 CrossRef
de Mul, J.M., Vree, J.M., Mass, D.A., Equilibrum and associated load distribution in ball and roller bearing in five degrees of freedom while neglecting friction, Part I and II, ASME J. Tribology 111 (1989) 142155 CrossRef
Bourdon, A., Rigal, J.F., Play, D., Static rolling bearing models in C.A.D. environment for the study of complex mechanisms, Part I – Rolling bearing model, Part II – Complete assembly model ASME J. Tribology 121 (1999) 205223
Andreason, S., Load distribution in a taper roller bearing arrangement considering misalignement, Tribology 6 (1973) 8492 CrossRef
T.A. Harris, Rolling bearing analysis, 2nd edition, New York: John Wiley & Sons, 1984
T.A. Harris, The effect of misalignement on the fatigue life of a cylindrical roller bearing having crowned roller members, ASME J. Lubrification Technology (1969) 294–300
J.Y. Liu, The effect of misalignement on the life of high speed cylindrical roller bearings, ASME J. Lubrification Technology (January 1970) 129–137
J.Y Liu, Y.P. Chiu, Analysis of a thin elastic ring under arbitrary loading, ASME J. Engineering for Industry (August 1974) 870–876
Hernot, X., Sartor, M., Guillot, J., Calculation of the stiffness matrix of angular contact ball bearings by using the analytical approach, ASME J. Mechanical Design 122 (2000) 8390 CrossRef
A.B. Jones, J.M. Mc Grew, Rotor bearings dynamic technology design Guide: Part II, Ball bearings, Wright Patterson, Ohio, USA: Air Force Aero Propulsion Laboratory, AFAPL-TR-78-6 1978
A.B. Jones, J.M. Mc Grew, Rotor bearings dynamic technology design Guide: part III Tapered roller bearings, Wright Patterson, Ohio, USA: Air Force Aero Propulsion Laboratory, AFAPL-TR-78-6, 1979, 80 p.
A.B. Jones, J.M. Mc Grew, Rotor bearings dynamic technology design Guide: part IV, cylindrical roller bearing, Wright Patterson, Ohio, USA: Air Force Aero Propulsion Laboratory, AFAPL-TR-78-6, 1979, 61 p.
L. Houpert, Prediction of bearing, gear and housing performances. Rolling Bearing Practice Today seminar, I. Mech. E. London, 1995
A. Bourdon, K. Yakhou, L. Chaloyrad, D. Play, Influence of the mechanical architecture and coupling effects on the vibratory behavior of complex gear transmission, in Proceedings of DETC99: 1999 ASME Design Engineering Technical Conferences, September 12–15, 1999, Las Vegas, Nevada
K. Yakhou, A. Bourdon, D. Play Prediction of Automotive Gearboxes Dynamic Behavior, Part A: Experimental Validation of a Global Numerical Model, in proceeding of DETC2000/PTG-14428, 8th International ASME Power Transmission and Gearing Conference, September 10–13, 2000, Baltimore
A. Bourdon, K. Yakhou, D. Play, Prediction of Automotive Gearboxes Dynamic Behavior, Part B : Numerical Simulations for the Determination of New Mechanical Design Trends, in proceeding of DETC2000/PTG-14427, 8th International ASME Power Transmission and Gearing Conference, September 10–13, 2000, Baltimore
K. Yakhou, Analyse des matrices de rigidité des paliers à roulements, mémoire de DEA, INSA de Lyon, Laboratoire CASM, 1995
A. Girad, Modal effective mass models in structural dynamics, in proceeding of: Xth International Modal Analysis Conference, San Diego USA (IMAC), 1992
A. Bourdon, J.F. Rigal, D. Play, Numerical modal result processings using CAD for analysing global vibrating behavior of gearboxes, in Proceedings of the International Congress of Gear Transmissions'95, Iftom-Eurotrans, Sophia, 2, 1995, pp. 104–110
B. Mevel, Comportement dynamique des roulements a billes, Thèse : Institut National des Sciences Appliquées de Lyon, 1992