基于MATLAB的指形铣刀加工等基圆齿面三维造型验证  

Verification on Three-dimensional Modeling of Machining Equal Base Circle Tooth Surface with Finger-shaped Cutter Based on MATLAB

作　　者：王斌[1] 范明星 徐爱军[1] 李聚波[1] 李天兴[1] 

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003

出　　处：《机床与液压》2017年第23期124-127,73,共5页Machine Tool & Hydraulics

基　　金：国家自然科学基金资助项目(51405135;51575161;U1504522);河南省高等学校重点科研项目(15A460003)

摘　　要：为了正确理解等基圆锥齿轮齿面包络成形理论、指形铣刀加工理论,实现其正确加工,基于等基圆锥齿轮原理,依据指状铣刀切齿坐标系及齿面方程,通过研究加工过程中凹凸面转换分度角的计算方法,进行了等基圆锥齿轮单个齿面造型、凹凸面同时造型,验证了齿面形成过程及其凹凸面空间几何关系。通过坐标变换,完成了加工状态下的等基圆锥齿轮凹凸面与指状铣刀在同一坐标系中的三维造型,验证了刀具与齿面空间几何位置关系的正确性,为等基圆齿面的切齿加工前期验证提供了有效手段。In order to correctly understand the theory of tooth surface envelope forming and the theory of the finger-shaped milling cutter processing for equal base circle bevel gear, and to realize its correct machining, based on the principle of equal base circle bevel gear, according to the cutting coordinate system of finger-milling cutter and tooth surface equation, the calculation method of indexing angle for the conversion between the concave and convex during the machining is studied. The single tooth surface model of bevel gear was accomplished, and the concave and convex model was built at the same time. The generation process of tooth surface and its space geometry relation for concave and convex were validated. By means of coordinate transformation, three-dimensional （3D） modeling in the same coordinate system for concave and convex of equal base circle bevel gear and finger-milling cutter was completed under machining condition. The correct space geometry position relationship between the cutter and the tooth surface is verified, which provides an effective means for previous validation on the machining of equal base circle tooth surface.

关 键 词：等基圆锥齿轮 指状铣刀 齿面方程 三维造型 

分 类 号：TG0[金属学及工艺]