基于有限元法的正交面齿轮疲劳特性探究

Exploration of Fatigue Property of Orthogonal Face Gear based on FEM

基于齿轮几何学原理,利用刀具的齿廓方程,推导了与之共轭的正交面齿轮的齿面和齿根方程,编写Matlab程序生成了正交面齿轮齿面和齿根点云,在Imagewear和UG中生成了面齿轮传动的实体和装配模型。对正交面齿轮传动真实载荷谱15种工况的载荷历程进行雨流计数,得到载荷循环数、均值与幅值的关系,在此基础上,在FE-SAFE中采用Brown-Miller算法对正交面齿轮传动进行了疲劳寿命分析,研究了表面粗糙度和载荷对面齿轮疲劳寿命的影响规律。结果表明,面齿轮在啮合齿顶处寿命最低;面齿轮寿命随表面粗糙度和载荷的增加而减小,疲劳寿命对载荷较敏感。

Based on the theory of gear geometry,both tooth face and tooth root equations of the orthogonal face gear are deduced according to tooth profile equation of the cutter conjugated to face gear,the tooth surface and tooth root point-cloud of the orthogonal face gear are obtained by compiling Matlab procedures,the solid assemble model of face gear is established by making use of Imageware and UG.The relation between load cycles,mean value and amplitude of the loads are obtained after carrying out rain-flow counting for load histories of real load spectrum in 15 working conditions of cycles.The fatigue life analysis of the face gear is performed by using Brown-Miller algorithm in FE-SAFE,then,the influences law of tooth surface roughness and loads to fatigue life of face gear are studied.The results indicates that the lowest life of face gear occurs at addendum of the meshing position,the life of face gear extends with the decreases of tooth surface roughness and loads,the fatigue life shows sensitization to loads.