基于参数反求的齿轮裂纹时变啮合刚度计算方法

A Time-varying Mesh Stiffness Calculation Method for Cracked Gears Based on Parameter Inverse Technique

基于齿根应变测试技术和优化理论提出了齿轮时变啮合刚度反求计算方法,并将其应用于齿轮故障机理研究。构建了齿根动态应力与时变啮合刚度反问题模型,并搭建齿轮裂纹故障应变测试实验台来采集齿根应变;建立了相对应的有限元模型并将计算应变与测量应变代入反问题模型,从而实现齿轮啮合刚度的反向求解。计算结果表明,相比解析法和有限元法,所提方法显著提高了求解精度并且具备更高的可靠性。建立了齿根裂纹故障的齿轮系统动力学模型,通过对动力学响应进行时域及频域分析来揭示齿轮裂纹故障机理。

An inverse calculation method of TVMS was proposed based on the tooth root strain measurement technology and optimization theory,the method was applied to the research of gear failure mechanism.Firstly,the inverse model of tooth root dynamic stress and TVMS were constructed,and a strain test rig of the gear crack failures was built to collect tooth root strains.At the same time,the corresponding finite element model was established.The calculation stress and measurement stress were brought into the inverse model.The results show that the proposed method has higher reliability and accuracy than that of the finite element method and analytical method,respectively.Furthermore,the dynamics model of gear system with tooth root crack faults was established.By analyzing the dynamic responses in time domain and frequency domain,the theoretical basis for the fault diagnosis of gear cracks is provided.