基于全齿宽啮合的弧齿圆柱齿轮参数化设计及接触特性  

Parametric Design and Contact Characteristics of Cylindrical Gears with Curvilinear Shape Teeth Based on Meshing of Whole Teeth Width

作　　者：翟秀云[1] 张学刚[1] 谢永春[1] 刘丹[1,2] 

机构地区：[1]攀枝花学院机械工程学院 [2]西华大学机械工程与自动化学院

出　　处：《组合机床与自动化加工技术》2014年第8期18-21,25,共5页Modular Machine Tool & Automatic Manufacturing Technique

摘　　要：为了揭示全齿宽啮合弧齿圆柱齿轮齿面间的真实接触情况,根据齿轮啮合原理,推导了基于全齿宽啮合的渐开线弧齿圆柱齿轮的精确齿面和过渡曲面方程,通过MATLAB软件编程计算出弧齿圆柱齿轮的凹齿面、凸齿面及过渡曲面的坐标点,将计算得到的点云导入三维实体建模软件,经过简单处理生成精确弧齿圆柱齿轮的三维实体模型。最后,通过数值解法计算了渐开线弧齿圆柱齿轮的真实啮合情况,并用可视化界面显示齿面接触曲线。结果表明该齿轮是关于齿轮中间截面对称的全齿宽啮合弧齿圆柱齿轮;轮齿在进入和退出啮合时是部分齿面接触。To reveal the real contact situation for cylindrical gears with curvilinear shape teeth based on meshing of whole teeth width. According to meshing theory,the accurate equations of tooth surfaces and fillet surfaces for cylindrical gears with curvilinear shape teeth based on meshing of whole teeth width were derived. The coordinate points of the concave side,convex side and respective fillet surfaces were calculated by application of Matlab commercial software. However,to generate the three-dimensional solid modeling of the gear,the acquired points cloud was imported by the three-dimensional solid modeling software. At last,the circumstances of meshing of the involute cylindrical gears with curvilinear shape teeth were verified by the numerical method,and the contact curves is displayed on the screen. The result shows that the novel gear is cylindrical gears with curvilinear shape teeth of meshing of whole teeth width,which is symmetry about intermediate cross-section of the gear,and the local contact of tooth is emerged on the tooth surfaces when the tooth enter or quit meshing.

关 键 词：全齿宽啮合 弧齿圆柱齿轮 啮合特性 MATLAB 参数化设计 

分 类 号：TH132.41[机械工程—机械制造及自动化] TG65[金属学及工艺—金属切削加工及机床]