考虑裂纹故障的时变啮合刚度计算研究与分析

Research and analysis of time-varying meshing stiffness calculation considering crack fault

以传动系统中存在裂纹故障的直齿轮为研究对象,综合考虑轮齿接触、弯曲、剪切、径向压缩和弹性变形等因素,提出了一种修正裂纹直齿轮副时变啮合刚度的算法。通过简化齿轮为悬臂梁的方式,分析裂纹的长度、深度、角度等参数对直齿圆柱齿轮啮合刚度的影响,采用MATLAB编程实现了时变啮合刚度的修正计算。研究结果为直齿圆柱齿轮副裂纹失效机理提供了理论基础。

In this study,the spur gear with crack faults in the transmission system is taken as the research object.Considering the factors of tooth contact,bending,shearing,radial compression,and elastic deformation,an algorithm for correcting the time-varying meshing stiffness of the cracked spur gear pair is proposed.By simplifying the gear as a cantilever beam,the influence of the length,depth,and angle of the crack on the meshing stiffness of the spur gear is analyzed,and the correction calculation of the time-varying meshing stiffness is realized by MATLAB programming.The research results provide a theoretical basis for the crack failure mechanism of spur gear pair.