基于MATLAB的高阶椭圆齿轮副节曲线的设计  

Design of the pitch curves of higher-order elliptic gears based on MATLAB

作　　者：刘永平[1,2] 孟鹏飞[2] 

机构地区：[1]兰州理工大学数字制造技术与应用省部共建教育部重点实验室,兰州730050 [2]兰州理工大学机电工程学院,兰州730050

出　　处：《机械》2010年第2期39-42,共4页Machinery

基　　金：甘肃省自然科学基金资助项目(2007GS04855);甘肃省教育厅资助项目(0803-12)

摘　　要：为了使非圆齿轮节曲线的设计及计算更加精确快速,以高阶椭圆非圆齿轮为研究对象,根据非圆齿轮的啮合原理,建立起非圆齿轮节曲线的数学模型。采用MATLAB仿真计算软件,根据数值计算方法,对椭圆齿轮节曲线的凹凸性进行判断并对其弧长进行精确计算。运用三次样条插值法进行拟合,绘制出齿轮副的节曲线图形。最后,以椭圆齿轮副的传动比曲线为研究对象,重点讨论了传动比与齿轮副阶数及偏心率的变化关系。To make non-circular pitch curve of gear design and calculations are more accurately and quickly, as the Higher-order elliptical non-circular gears to study, according to the meshing theory of non-circular gears, established pitch curve of non-circular gear mathematical model. Adopted MATLAB and numerical methods to study the Higher-order elliptic which is the pitch curves convex-concave and accurate calculation of arc length. Using cubic spline interpolation method to fit and draw out the gear pair of pitch curve graph. Finally, the transmission ratio gear pair elliptic curve object of study, focusing on the change of relationship of the transmission gear ratio, and vice-order number, and eccentricity ratio.

关 键 词：非圆齿轮 高阶椭圆齿轮 MATLAB 数值计算 三次样条插值 传动比 偏心率 

分 类 号：TH132.424[机械工程—机械制造及自动化]