A Precise FE Model of a Spur Gear Set Considering Eccentric Error for Quasi-static Analysis

Abstract

This paper presents a quasi-static FE contact model of a spur gear set with consideration of eccentric error. In the precise model, the nodes of contact and target surface can be mated as one-to-one at any instant by means of the instantaneous contact lines mesh generating method of engaged gears. This node-to-node contact FE model can fulfill static/dynamic/quasi-static FE analysis precisely, even with manufacturing and assembly error embedded. In the quasi-static FE contact model, the rotation of wheel with consideration of assembly eccentric error is set through the instantaneous mated position function, which ensures the solving convergence and preciseness. A gear set is used as an example to investigate the influence of gear eccentricity and elastic deformation acted by load on transmission accuracy. The case study illustrates that the presented quasi-static FE contact analysis model is easier convergence and more precise; the elastic deformation enlarges the TE which cannot be neglected in the FE analysis.