基于多截面构造的实测误差齿轮啮合性能分析  

Meshing performance analysis of the measured gear with error based on the multi-section structure

作　　者：宋美琪 汪中厚[1] 陈铭治 李彦 汪发 SONG Meiqi;WANG Zhonghou;CHEN Mingzhi;LI Yan;WANG Fa(School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学机械工程学院,上海200093

出　　处：《机械传动》2025年第3期8-14,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(52371331,51875360);上海市科学技术委员会项目(19060502300)。

摘　　要：【目的】新能源汽车的发展对齿面的微观形貌提出了更高的要求。然而,齿形误差的存在会影响齿轮传动的平稳性。为精确分析齿形误差对渐开线齿轮啮合性能的影响,为新能源汽车中的高精度齿轮发展提供指导,相较于现有的三截面测量齿面构造方法,提出了一种多截面齿面构造方法,使构造齿面更加贴合实际齿面。【方法】通过有限元仿真,分析了含齿形误差的多截面构造齿轮与三截面构造齿轮在啮合周期内的齿面接触应力以及不同负载下传动误差的变化情况。【结果】结果表明,相比于三截面构造的误差齿轮,多截面构造的误差齿轮在整个啮合周期内最大接触应力变化明显,更精确地反映了由齿形误差带来的接触面积和载荷分配方式的变化;同时,随着负载转矩的增大,多截面构造的误差齿轮的传动误差幅值增长高于基于三截面构造的齿轮;两者相较于理论齿轮,多截面构造的误差齿轮的传动误差波动更明显,更能反映真实的齿面情况。这为进一步研究快速高效构造贴合实际齿面的齿轮模型打下了坚实的基础。[Objective]The development of new energy vehicles has put higher requirements on the micro-morphology of the tooth surface.However,the stability of gear transmission can be affected by the existence of tooth profile error.To accurately study the effect of tooth profile error on the meshing performance of involute gears,and thus provide the guidance for the devel‐opment of high-precision gears in new energy vehicles,compared with the three-section measurement of tooth surface,which is the current method,a construction method of tooth surface,using the multi-section form,based on the dot matrix of measured tooth surface,was proposed to make the constructed tooth surface more approximate to the actual one.[Methods]Finite element simulation was used to analyze the variation of tooth contact stress in the meshing cycle and transmission error under different loads between the constructed gear with tooth profile error using the multi-section method and the one using the three-section method.[Results]The results show that compared with the gear with tooth profile error,constructed by the three-section method,variation of the maximum contact stress of the one with the multi-section method is obvious in the whole meshing cycle and the change of contact area and allocation way of load brought by tooth profile error is precisely demonstrated.Meanwhile,with the increment of the load torque,the growth of the transmission error amplitude of gear with tooth profile gear,constructed by the multi-section method is higher,which reflects the state of actual tooth surface better.The solid foundation for further research on the rapid and efficient construction of gear model,which is fitted to the actual one,is laid.

关 键 词：渐开线齿轮 多截面 NURBS曲面 齿形误差 齿面接触 传动误差 

分 类 号：TH132.41[机械工程—机械制造及自动化]