基于弹流摩擦副刚度的直齿轮修形研究  

Research on Spur Gear Profile Modification Based on Stiffness of the Elastohydrodynamic Lubrication Friction Pair

作　　者：夏伯乾[1] 张英豪 张泽斌[1] Xia Boqian;Zhang Yinghao;Zhang Zebin(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学机械与动力工程学院,河南郑州450001

出　　处：《机械传动》2023年第1期17-26,共10页Journal of Mechanical Transmission

基　　金：河南省高等学校重点科研项目(20A460004)。

摘　　要：首次在直齿轮修形时考虑了弹流润滑的影响,提出用齿轮弹流摩擦副啮合刚度取代传统齿轮啮合刚度计算最大修形量进行齿轮修形的新方法。基于弹流润滑理论,将弹流油膜简化为线性化的弹簧阻尼,建立了线接触摩擦副的摩擦学―动力学耦合模型,运用数值方法求得齿面弹流摩擦副刚度;采用ISO齿轮啮合刚度定义分别计算出齿轮的啮合刚度和齿轮弹流摩擦副啮合刚度,并基于两种不同的齿轮啮合刚度计算最大修形量,进行齿轮修形;通过Creo分别建立了标准齿轮、ISO方法修形齿轮、基于弹流摩擦副啮合刚度修形的齿轮啮合模型,运用Adams和Romax对3种齿轮副的动态啮合力、角加速度和传动误差进行了仿真和比较,并将基于弹流摩擦副啮合刚度计算的最大修形量和一些工程实际修形齿轮的修形量进行了对比。结果表明,计入弹流润滑影响后,齿轮刚度明显降低,导致齿轮最大修形量增大,且基于弹流摩擦副刚度的修形效果优于ISO方法的修形效果,齿轮动力学性能和传动性能改善明显,并且修形量的理论计算值也更贴近于工程齿轮的实际修形量。The influence of elastohydrodynamic lubrication(EHL) to the spur gear profile modification is considered for the first time, and a new method of spur gear profile modification is proposed using gear EHL friction pair meshing stiffness to replace gear meshing stiffness to calculate the maximum modification amount.Based on the EHL theory and by simplifying the EHL film into linearized spring and damping, a tribology-dynamics coupling model of line contact friction pair is established and the stiffness of tooth surface EHL friction pair is obtained by numerical method;the gear meshing stiffness and the meshing stiffness of gear EHL friction pair are calculated respectively using the definition of ISO gear meshing stiffness and the maximum modification amount is calculated based on two different gear meshing stiffness;through Creo, the meshing models of a standard gear pair, an ISO method modified gear pair and an EHL friction pair stiffness modified gear pair are established respectively. Dynamic meshing force, angular acceleration and transmission error of the three kinds of gear pairs are simulated and compared using Adams and Romax. The values of maximum modification amount calculated based on the stiffness of the EHL friction pair are compared with the values of modification amount of some engineering actual modified gears. The results show that the gear stiffness decreases significantly when taking into account the effect of EHL, which leads to an increase in the maximum gear modification amount. The modification effect based on the stiffness of the EHL friction pair is better than that when using the ISO method and the gear dynamic performance and transmission performance is improved significantly. And the theoretical calculation values of the modification amount are also closer to the values of actual modification amount of the engineering gear.

关 键 词：弹流摩擦副刚度 齿廓修形 修形量 动态啮合力 传动误差 

分 类 号：TH132.41[机械工程—机械制造及自动化]