齿根裂纹扩展对轮齿时变啮合刚度变化关系的分析  

作　　者：周新涛 张文亭[1] 吴玉文[1] 周锦涛 

机构地区：[1]陕西工业职业技术学院机械工程学院,陕西咸阳712000 [2]西安理工大学机械与精密仪器工程学院,西安710048 [3]西安弘迪安瑞智能科技有限公司研发中心,西安710000

出　　处：《科技创新与应用》2024年第1期1-5,共5页Technology Innovation and Application

基　　金：陕西省教育厅科研计划项目(21JK0503);陕西工业职业技术学院引进高层次人才科研启动经费(2020-9)。

摘　　要：针对齿根裂纹扩展与时变啮合刚度的理论值与实际值偏差较大的问题,该文基于能量法对传统的时变啮合刚度模型进行优化,以获得理论时变啮合刚度的变化规律与实际情况接近。在传统理论时变啮合刚度理论模型的基础上,考虑轮齿的Hertz接触刚度、径向压缩刚度、轮齿的弯曲刚度和轮齿的剪切刚度,以及轮体的柔性变形量等因素,对传统的理论刚度模型进行改进。再采用能量法计算,验证改进的理论模型对健康轮齿、齿根裂纹扩展程度和裂纹扩展角度这3种不同状态下,获得轮齿时变啮合刚度的变化规律。研究结果表明,经改进后的理论刚度模型,计算得出时变啮合刚度变化规律的一致性较好。并且,得出时变啮合刚度值的大小,随着齿根裂纹故障严重程度的增大而减小,随着齿根裂纹扩展角度增大而增大。In order to solve the problem that there is a large deviation between the theoretical value and the actual value of tooth root crack propagation and time-varying meshing stiffness,this paper optimizes the traditional time-varying meshing stiffness model based on energy method,so that the variation law of theoretical time-varying meshing stiffness is close to the actual situation.On the basis of the traditional theoretical model of time-varying meshing stiffness,the traditional theoretical stiffness model is improved by considering the Hertz contact stiffness,radial compression stiffness,bending stiffness and shear stiffness of gear teeth,as well as the flexible deformation of gear body.Then the energy method is used to verify the change law of time-varying meshing stiffness of gear teeth under the three different states of healthy gear teeth,root crack propagation degree and crack propagation angle.The results of research show that,after the improved theoretical stiffness model,the consistency of the variation law of timevarying meshing stiffness is good.Moreover,it is concluded that the value of time-varying meshing stiffness decreases with the increase of the severity of tooth root crack and increases with the increase of tooth root crack propagation angle.

关 键 词：齿根裂纹 时变啮合刚度 裂纹扩展程度 裂纹扩展方向 能量法 

分 类 号：TH132[机械工程—机械制造及自动化]