变系数移距变位方法及其在非圆齿轮传动中的应用  

VARYING-COEFFICIENT PROFILE-SHIFT-MODIFICATION METHOD AND IT'S APPLICATION TO NON-CIRCULAR GEARS

作　　者：谭伟明[1] 

机构地区：[1]佛山科学技术学院工学院机电工程系,佛山528000

出　　处：《机械工程学报》2003年第4期141-144,共4页Journal of Mechanical Engineering

基　　金：国家留学基金委员会留学资助项目(96862011);佛山科学技术学院重点科研项目

摘　　要：针对齿轮传动提出变位系数随节曲线位置变化的设计方法,并应用于解决非圆齿轮传动的设计。首先建立具有移距变位量的生成齿条模型和节曲线纯滚动模型,而后用啮合方程将这两个模型结合起来,经坐标变换后在齿轮坐标系中获得变位非圆齿轮的齿廓曲线数学模型。根据非圆齿轮节曲线的曲率半径随节曲线位置变化的特点,提出一种由节曲线位置确定变位系数的变系数移距变位方法。以高阶椭圆齿轮的变位传动设计为例,设计了按余弦规律变化的变位系数函数,用计算机图形仿真的方法获得其齿廓曲线,验证了该方法的正确性。A profile-shift-modification method for the involute gears is worked out, in which the modification coefficient varies with the position of the pitch-lines of gears, and is applied to design non-circular gear transmission. The model of the generating rack with a modification shift amount, and the pure-rolling model are set up separately, and then joined together by using the so-called equation of mesh, to obtain the mathematical model of tooth profile in the coordinate system of the gear. According to the feature that the curvature radius of the pitch-lines of the non-circular gears varies with the rolling points of the pitch-lines, it is put forward that the coefficients of profile-shifted-modification are determined by the pitch-lines. In the end, for the high-order elliptical gears, fabricating a modification coefficient with cosine function of the pitch-line position, their teeth profiles described to verify the correctness of the model.

关 键 词：移距变位 生成齿条 图形仿真 非圆齿轮 高阶椭圆齿轮 变位系数 

分 类 号：TH132.424[机械工程—机械制造及自动化]