有限要素法と線形計画法を用いた三次元構造薄肉平歯車の歯面荷重および接触応力の解析法

抄録

A method for the analysis of load distribution and contact stress on tooth faces of a thin wall spur gear are proposed by combining a mathematical programming method with the three-dimensional finite element method (3D-FEM). A program that can be used to carry out tooth load calculation for a sophisticated gear structure with a personal computer is developed. The main procedures of the method are as follows: Firstly, the region on tooth faces surrounding the geometrical contact line which are fairly larger than the theoretical region calculated by the Hertzian's contact theory, is defined as a assumed contact face, secondly, reference points on the assumed contact face are taken on each gear, thirdly, influence coefficient on each reference point is calculated by 3D-FEM, lastly tooth load on each reference point is calculated by the mathematical programming method. The contact stress transformed from the tooth load is well agreed with the theoretical one for a thick gear. Furthermore, strains calculated on the compressive side of the tooth root of the thin wall gear are well agreed with the measured ones.