基于数字化真实齿面的螺旋锥齿轮齿面接触分析

Tooth Contact Analysis of Spiral Bevel Gears Based on Digital Real Tooth Surfaces

通过导入假想全共轭齿面作为基准齿面,即大齿轮基准齿面是采用由加工机床设定参数形成的理论齿面,小齿轮基准齿面是采用与该大齿轮基准齿面完全相共轭的齿面,该假想齿面是瞬时线接触,无传动误差。对该基准齿面上的接触线进行拓扑网格划分,引入数字化合成误差概念,实现含有齿形误差和安装误差的螺旋锥齿轮的数字化真实齿面的构建。提出一种基于高精度数字化真实齿面的螺旋锥齿轮齿面接触分析(Tooth contact analysis,TCA)方法,通过与Gleason公司TCA软件分析结果以及齿面磨损试验结果比较,验证了本方法的可行性和有效性。

By importing imaginary whole conjugated tooth surface as the reference tooth surface, namely the reference tooth surface of gear is consisted of theoretical tooth surface with machining tool setting parameters, and the reference tooth surfaces of pinion use the tooth surfaces conjugating with the reference tooth surfaces of gear. The imaginary tooth surface is instantaneous line contact without transmission error. Through the topological mesh of reference tooth surface contact lines, the digital synthetic error concept is introduced, and the digital real tooth surfaces of spiral bevel gear with tooth profile error and installation error can be built. A tooth contact analysis （TCA） method based on high precision digital real tooth surface of spiral bevel gears puts forward. The feasibility and effectiveness of this method can be verified through the comparison of TCA software analysis results by Gleason corporation and tooth wear test results.