齿轮弯曲疲劳强度可靠性分析的新方法

以三参数可靠性分析模型为基础, 结合随机有限元法与齿轮的疲劳强度理论, 提出了一种计算齿根弯曲疲劳强度的新方法。该方法考虑了影响齿轮可靠性的随机因素, 如载荷、材料性能参数和刀具齿顶圆弧半径等, 从而使得全面、合乎实际地对齿轮疲劳强度的可靠性预测成为可能。计算分析表明, 刀具齿轮圆弧半径对齿轮弯曲疲劳强度可靠性的影响不能予以忽略。文中还讨论了其它随机因素以及齿轮的变位系数对齿轮可靠性的影响。 

A NEW RELIABILITY ANALYTICAL METHOD FOR BENDING FATIGUE STRENGTH OF GEARS

Based on the three parameters reliability analysis model and the fatigue theory of gears,a new reliability analytical method for the bending fatigue strength of tooth root is proposed by use of blending stochastic finite element method.This method takes into account such random factors for the reliability of gears,as load,fatigue limit,the material parameters and radius chamfer of tool.Analyses completed with this method indicate:The radius chamfer of tool has unignorable effect on the reliability of gears' bending fatigue strength;In the linear elastic problems,the Young's modulus has no effect on the structure reliability;The Poisson ratio has a little leverage on the gears' reliability;But the gears' reliability reduces with the increase of variation coefficients of the above mentioned random factors;So the gear's reliablity will increase as the skewnesses of fatigue limit and the radius chamfer of tool rise.But the skewness of load has an inverse influence.This paper also considers the modified coefficient's (no random factor) effect on the gears' reliability.