HERTZ 接触应力屈服强度问题研究  

RESEARCH ON YIELD STRENGTH PROBLEM OF HERTZ CONTACT STRESS

作　　者：杨咸启[1] 刘胜荣[1] 曹建华[1] 

机构地区：[1]黄山学院机电工程学院,黄山245041

出　　处：《机械强度》2016年第3期580-584,共5页Journal of Mechanical Strength

基　　金：安徽省教育厅质量工程项目(2014zdjy122)资助~~

摘　　要：Hertz接触应力理论是经典的理论,它涉及的计算过程比较繁杂。针对一般的接触问题,通过理论分析和数值拟合,给出了接触曲率函数与接触椭圆率的关系,利用接触曲率函数直接计算出接触椭圆率,不再需要查表和插值计算这种麻烦和不准确的过程,使得接触计算变得相对简化。同时,根据弹性力学分析的结果,建立了接触区表面下关键点的应力状态估计方法和材料屈服强度校核方法。为工程实际应用带来很大的便利。Hertz contact stress theory is the classic theory,it involves more complicated calculation process. In this paper,through theoretical analysis and numerical fitting,a relationship of the contact curvature function and contact elliptical rate was found,that is ln（ 1 / e） = 0. 224[ln[1 / F（ ρ） ]^（1. 407）. Then,a elliptical rate is calculated directly by contacting curvature function,no longer need to process the look-up table and interpolation calculation that would be a kind of trouble and not accurate. At the same time,the stress states at a key point of contact body are found by elastic analysis results,and a method of the yield strength checking is estimated. It could bring convenience in engineering application.

关 键 词：接触应力 屈服强度 曲率函数 椭圆率 

分 类 号：TH117.1[机械工程—机械设计及理论]