摩擦系数对齿轮裂纹应力场强的影响  

Effect of friction coefficient on stress field intensity of gear crack

作　　者：李有堂[1] 刘忠艳[1] 

机构地区：[1]兰州理工大学机电工程学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2009年第6期158-162,共5页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(3ZS061-A25-47);教育部重点项目(208152)

摘　　要：基于弹性理论,借助通用有限元软件ANSYS模拟齿轮啮合过程的摩擦现象.对裂尖进行奇异化处理,分析摩擦系数及裂纹形状对裂纹尖端等效应力、裂纹尖端位移和应力强度因子的影响,修正齿轮应力强度因子公式.研究结果表明:同一裂纹结构随着摩擦系数的增加裂纹尖端的等效应力、位移和应力强度因子也相应增加.随裂纹形状a/c变化,当a/B<0.05(定义B为齿轮危险截面的厚度)时前自由面影响起主要作用,当a/B>0.05时后自由面影响起主要作用,均随着比值的增大应力强度因子先增大后减小.Based on elasticity theory, the friction phenomenon of gear meshing process was simulated by using general finite element software ANSYS. The singularity of crack tip was considered, the effect of friction coefficient and crack shape on equivalent stress, displacement and stress intensity factor of the crack tip were analyzed, and the formula of stress intensity factor of gear was revised. The result showed that the equivalent stress, displacement and stress intensity factor of crack tip increased with the friction coefficient for the same crack. With the changing of a/c, the front free surface played a major role in the effect in the case a/B〈0. 05 （B-thickness of gear risk cross-section）, and the post-surface played a major role in the effect when a/B〉0. 05. With the increasing of this ratio, the stress intensity factor first increased and then decreased.

关 键 词：齿轮裂纹 应力强度因子 摩擦系数 裂纹尖端位移 有限元方法 

分 类 号：O346[理学—固体力学] TH114[理学—力学]