高阶变性椭圆齿轮副的静力学特性与模态分析

In this paper,based on the basic theory of statics,the static model of high-order denatured elliptical gear pair is established. Analysis of the stress state of teeth is carried out to get the static mechanical properties of it,and derive the tooth root bending fatigue strength formula and the tooth surface contact fatigue strength formula of the high-order denatured elliptical gear tooth. Using the basic principles of the finite element modal analysis to execute modal analysis on high-order denatured elliptical gear pair,the low-order natural vibration frequencies and mode of gear pair assembly are obtained. The effects of the order of denatured gear pair on natural frequencies and mode of variation are analyzed comparatively to provide a reference for the dynamic design of gear transmission system.