Direct gear tooth contact analysis for hypoid bevel gears

被引：88

作者：

Vogel, O ^{[1
]}

Griewank, A

Bär, G

机构：

[1] Tech Univ Dresden, Inst Sci Comp, D-01062 Dresden, Germany

[2] Tech Univ Dresden, Inst Geometry, D-01062 Dresden, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2002年 / 191卷 / 36期

关键词：

tooth contact analysis; hypoid bevel gear; paths of contact; transmission error; bearing area; first order singularity; automatic differentiation;

D O I：

10.1016/S0045-7825(02)00351-1

中图分类号：

T [工业技术];

学科分类号：

08 [工学];

摘要：

A new methodology for tooth contact analysis based on a very general mathematical model of the generating process is proposed. Considering the line of action as a first order singularity of a certain operator equation we develop first and second order conditions for a pair of generated gear tooth flanks to be in contact. The constructive approach allows the direct computation of the paths of contact as the solution of a nonlinear equation system including the exact determination of the bounds of the paths of contact. The transmission error as well as curvature properties in the contact points are obtained in a convenient way. The resulting contact ellipses approximate the bearing area. Through the use of automatic differentiation all the geometric quantities are calculable within the machine accuracy of the computer. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：3965 / 3982

页数：18

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