克林贝格摆线锥齿轮建模及模态分析  

Modeling and Modal Analysis of Klingelnberg Cycloid Bevel Gear

作　　者：张华[1] 何卫东[1] 张迎辉[1] ZHAGN Hua;HE Weidong;ZHANG Yinghui(School of Mechanical Engineering,Dalian Jiaotong University,Dalian 116028,China)

机构地区：[1]大连交通大学机械工程学院,辽宁大连116028

出　　处：《大连交通大学学报》2018年第2期64-68,共5页Journal of Dalian Jiaotong University

基　　金：辽宁省博士科研启动基金资助项目(201501183);辽宁省重大装备制造协同创新中心资助项目

摘　　要：根据克林贝格摆线锥齿轮的加工方法和铣齿原理,建立刀盘、摇台和轮坯相对位置和运动关系的坐标系,推导摆线锥齿轮的切齿方程,结合齿轮啮合方程及齿轮齿面旋转投影得到在平面内相关齿面上点的关系,运用数值分析法得到齿面离散点坐标,运用NURBS进行曲面逼近得到曲齿面,封闭生成单个实体轮齿,建立摆线锥齿轮三维模型.应用有限元分析方法,进行摆线锥齿轮自由模态分析,得到大齿轮和小齿轮的低阶固有频率及主振型,计算各个齿轮的临界转速.分析计算结果为齿轮结构设计及优化提供了一定的参考依据.According to processing method for Klingelnberg spiral bevel gear and the principle of gear milling,the coordinates system of the relative position and movement of the cutter,polar and wheel blanks is established,and an equation of cycloid bevel gear is deducted.Combined with the gear meshing equation and the gear tooth surface rotation projection,the relationship between the points on the plane is obtained,and the tooth surface discrete point coordinate is obtained by numerical analysis.Using NURBS surface approximation for tooth surface,tooth closed to generate a single solid tooth,cycloid bevel gear three-dimensional modal is established.Finite element free modal analysis of the cycloid bevel gear is used to get low natural frequency and main vibration of the big gear and small gear,and to calculate critical speed of all the gear.The results of analysis and calculation provide certain reference basis of the gear structure and optimization.

关 键 词：摆线锥齿轮齿线 模态分析 固有频率 振型 有限元 

分 类 号：TH132.414[机械工程—机械制造及自动化]