Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-11T07:16:27.922Z Has data issue: false hasContentIssue false
  • English
  • Français

Static and dynamic models for spiral bevelgears

Published online by Cambridge University Press:  02 January 2013

Joël Teixeira Alves ,
Jing Wang ,
Michèle Guingand ,
Jean-Pierre de Vaujany  and
Philippe Velex
Get access

Abstract

This paper synthesizes a whole of work carried out on the spiral bevel gears fromquasi-static and dynamic models viewpoint. A sophisticated quasi-static model makes itpossible to calculate the tooth loads, the pressures, the instant mesh stiffness, and thedeflections on the flanks of spiral bevel gears. Based on these results, twothree-dimensional lumped parameter dynamic models are presented. The mechanical systemunder consideration comprises: a spiral bevel pinion and gear connected by a time-varyingnon-linear mesh stiffness function, and mounted on two shafts simulated by Timoshenko’sbeams supported by bearings. Two variants are considered which rely on different contactstiffness simulations: (a) using an averaged mesh stiffness function acting at thecentroid of the loaded areas on tooth flanks and (b) a more local approach based on adiscrete distribution of the local mesh stiffness, elements over the contact areas. Anumber of results are presented and commented which illustrate the interest of thesedynamic models.

Keywords

Spiral bevel geardynamic modelload sharingmesh stiffnessdynamic factorsEngrenage spiro-coniquemodèle dynamiquepartage de chargeraideur d’engrènementcoefficients dynamiques
Type
Research Article
Information
Mechanics & Industry , Volume 13 , Issue 5 , 2012 , pp. 325 - 335
Copyright
© AFM, EDP Sciences 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Tamminana, V.K., Kahraman, A., Vijayakar, S., A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs, J. Mech. Design 129 (2007) 75–84 CrossRefGoogle Scholar
Li, M., Hu, H.Y., Dynamic analysis of a spiral bevel-geared rotor-bearing system, J. Sound Vib. 259 (2003) 605–742 CrossRefGoogle Scholar
Gao, Q., Tnabe, M., Nishihara, K., Contact-impact analysis of geared rotor systems, J. Sound Vib. 319 (2008) 463–475 CrossRefGoogle Scholar
Lim, T.C., Cheng, Y., A theoretical study of the effect of pinion offset on the dynamics of hypoid geared rotor system, J. Mech. Design 121 (1999) 594–601 CrossRefGoogle Scholar
T.C. Lim, J. Wang, Effects of assembly errors on hypoid gear mesh and dynamic response, AMSE 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Long Beach, California USA, 2005
Cheng, Y., Lim, T.C., Dynamics of hypoid gear transmission with mesh characteristics, J. Mech. Design 125 (2003) 373–382 CrossRefGoogle Scholar
Wang, J., Lim, T.C., Li, M.F., Dynamics of a hypoid gear pair considering the effects of time-varying mesh parameters and backlash nonlinearity, J. Sound Vib. 308 (2007) 302–329 CrossRefGoogle Scholar
T. Peng, T.C. Lim, Effects of assembly errors on spiral bevel gear mesh characteristics and dynamic response, JSME International Conference on Motion and Power Transmissions, Matsushima Isles Resort, Japan, 2009
Li, M., Hu, H.Y., Couple axial-lateral-torsional dynamics of a rotor-bearing system geared by spur bevel gears, J. Sound Vib. 254 (2002) 427–446 CrossRefGoogle Scholar
F.L. Litvin, Theory of gearing, Washington : NASA, 1989, 470 p. RP-1212
Sentoku, H., Load distribution and tooth root stress of bevel gears, Int. J. Japan Soc. Mech. Eng., series C 42 (1999) 404–409 Google Scholar
J. Bruyere, Contribution à l’optimisation de la conception des engrenages coniques à denture droite, Analyse et synthèse de la géométrie et des tolérances, Thèse Génie Mécanique : École Nationale Supérieure d’Arts et Métiers de Metz, No. 2006ENAM40, 2006, 232 p.
Gosselin, C., Cloutier, L., Nguyen, Q.D., A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears, Mech. Mach. Theor. 30 (1995) 433–450 CrossRefGoogle Scholar
Y. Icard, Engrenages spiro-coniques : Modélisation sous charge appliquée au domaine aéronautique, Thèse Génie Mécanique : Institut National des Sciences Appliquées de Lyon, No. 2005ISAL0007, 2005, 369 p.
Simon, V., Load distribution in hypoid gears, J. Mech. Design 122 (2000) 529–535 CrossRefGoogle Scholar
Simon, V., Load distribution in spiral bevel gears, J. Mech. Design 129 (2007) 201–209 CrossRefGoogle Scholar
A. Olakorede, Répartition de charge des engrenages cylindriques, application de la méthode des prismes finis en CAO, Thèse Génie Mécanique : Institut National des Sciences Appliquées de Lyon, No. 90ISAL0049, 1990, 157p.
C. Gosselin, J.P. de Vaujany, Loaded tooth contact analysis of spur, helical and hypoid gears based on the finite strips and finite prisms models, Proceedings of 4th World Congress on Gearing and Power Transmission, Paris, France, 1999, pp. 29–41
J. Boussinesq, Application des potentiels à l’étude de l’équilibre et du mouvement des solides élastiques, Gauthier-Villard, 1885, 724 p.
Teixeira Alves, J., Guingand, M., de Vaujany, J.P., Set of functions for the calculation of bending displacements for spiral bevel gear teeth, Mech. Mach. Theor. 45 (2010) 349–363 CrossRefGoogle Scholar
E. Rigaud, J. Perret-Liaudet, M.-S. Mecibah, Introduction d’un modèle d’engrènement original et effet sur le comportement modal d’une transmission, http://hal.archives-ouvertes.fr/hal-00121935_v1/, 2006
Ajmi, M., Velex, P., A model for simulating the quasi-static and dynamic behaviour of solid wide-faced spur and helical gears, Mech. Mach. Theor. 40 (2005) 173–190 CrossRefGoogle Scholar
C. Bard, Modélisation du comportement dynamique des transmissions par engrenage, Thèse Génie Mécanique : Institut National des Sciences Appliquées de Lyon, No. 95ISAL0031, 1995, 296 p.
A. Bourdon, Modélisation dynamique globale des boîtes de vitesses automobile, Thèse Génie Mécanique : Institut National des Sciences Appliquées de Lyon, No. 97ISALISAL0084, 1997, 217 p.