Estimation of Time Dependent Mesh Stiffness of Spur Gear using Finite Element Method

M. MAATAR*+, M. N. BETTAIEB**, C. KARRA*+

*Laboratory of Electro-Mechanical Systems (LASEM) Sfax Tunisia
+Preparatory Institute of Engineers' Studies of Sfax, BP 805  3018 Sfax Tunisia
**Contact and Solid Mechanics Laboratory (LaMCoS), UMR CNRS 5511 INSA de 
Lyon, b�iment 113 Avenue Albert Einstein, 69621 Villeurbanne Cedex , France
E-mail : Mohamed.maatar@ipeis.rnu.tn, Mohamed-Nizar.Bettaieb@insa-lyon.fr, 
Chafik.karra@ipeis.rnu.tn, 

Abstract

This paper addresses the use of finite element method to predict the mesh stiffness from 
the determination of the tooth displacement at the load position. A Fortran Power-
Station 4.0 program is developed. It permits firstly, to obtain the gear geometric 
characteristics and secondly generates automatically the finite element meshing of a 
tooth or a gear. This program is interfaced with the COSMOS/M, finite element analysis 
program [6], so that the time varying mesh stiffness of a gear system is calculated. The 
effects of some gear geometric parameters on the mesh stiffness are identified.

Gears mesh stiffness, local, bending and body stiffness, finite element model.

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