奥利康摆线齿准双曲面齿轮轮齿接触分析及试验验证

Tooth Contact Analysis and Experimental Verification of Oerlikon Cycloidal Hypoid Gear

通过分析奥利康制摆线齿准双曲面齿轮的齿面展成过程,建立了包括工作齿面以及齿根过渡曲面在内的全齿面模型,并据此生成了轮齿三维模型;针对过去轮齿接触分析(Tooth Contact Analysis,TCA)数学模型中接触椭圆的计算需借助于对两配对齿面主曲率和相对曲率的复杂推导,提出了一种改进的TCA模型,对于接触椭圆的计算只需要知道两配对齿面的方程并且无需齿面二次逼近,因而避免了复杂的齿面曲率计算且能更真实的反映齿面瞬时接触区特性。最后基于此模型,编制了奥利康制摆线齿准双曲面齿轮的全齿面生成以及TCA程序,并通过与克林贝格KIMo S5设计软件以及滚检试验结果的对比分析,验证了此方法的可行性,为后续轮齿承载接触分析和应力分析打下了基础。

A mathematical model is established for the whole tooth surface generation of the Oerlikon cycloidal hypoid gear,which includes the work flank and the tooth base surfaces,based on it,the tooth 3D model is obtained. To avoid the complicated derivation of the surface curvatures and the relative curvatures which general used to calculate the boundaries and the major axes of the contact ellipses in the past,a modified tooth contact analysis（ TCA） model is proposed which based the equations of the two mated tooth surfaces and need not to make secondary approximation,so it can correctly simulating the characteristics of the instantaneous contact area. Finally,a surface generation and TCA program is developed for Oerlikon cycloidal hypoid gear. The feasibility of this method is verified through analyzing the results obtained from Klingelnberg KIMo S5 software and the rolling test experiment,and this may serve as the foundation for loaded TCA and stress analysis.