双压力角非对称齿廓齿轮的啮合机理分析  

Meshing Theory on Unsymmetric Gear with Double Pressure Angles

作　　者：肖望强[1] 李威[1] 韩建友[1] 

机构地区：[1]北京科技大学机械工程学院

出　　处：《农业机械学报》2008年第5期169-173,共5页Transactions of the Chinese Society for Agricultural Machinery

基　　金：教育部"新世纪优秀人才支持计划"资助项目(项目编号:NCET-05-0106)

摘　　要：设计了双压力角非对称渐开线齿条刀具,并推导了刀具齿廓参数的几何关系、非对称齿轮全齿廓坐标方程、轮齿任意圆周上的弧齿厚计算公式,并对齿轮齿顶变尖情况进行了探讨。给出了非对称齿轮第2种齿根过渡曲线方程,描述并对比了对称齿轮与非对称齿轮的4种过渡曲线,同时建立了非对称齿轮共轭齿形的坐标变换矩阵以及轮齿在各自局部坐标系旋转矩阵。编写程序求得非对称齿轮与对称齿轮仿真结果,最后通过电火花线切割法加工制造了2种类型的齿轮。Involute rack-cutter with unsymmetric teeth and double pressure angles was designed. lhe geometric parameters of rack-cutter profile were proposed as well as total tooth profile equations for the unsymmetric gear and the formulas for tooth thickness at any diameters. Then the characteristics of the teeth tip were investigated. The second transition curve equations for the unsymmetric gear were established and four types of transition curves of tooth root were compared. Furthermore, the coordinates transition matrix for conjugate tooth profile and rotation matrix for tooth surface in local coordinates system of unsymmetrie gear were given respectively. By developing relevant programs, the teeth profile of unsymmetric gear and symmetric gear were simulated. Finally, two types of gears were manufactured by wire electrical discharge machining.

关 键 词：双压力角 非对称渐开线齿轮 啮合机理 

分 类 号：TH132.413[机械工程—机械制造及自动化]