微织构齿轮时变啮合刚度计算方法研究

Research on calculation method of time-varying mesh stiffness of micro-textured gears

摘要

现有研究发现微织构有助于减小齿轮系统的摩擦和振动。为分析微织构齿轮的动力学性能，对其啮合刚度展开研究。本研究模拟鲨鱼皮表面纹理设计了仿生齿面织构，考虑织构对齿轮啮合时有效接触长度的影响，对齿轮啮合刚度进行了修正，构建了微织构齿轮的时变啮合刚度（time-varying meshing stiffness，TVMS）模型，并采用有限元法对理论分析模型进行了验证。分析了织构参数对齿轮TVMS的影响，结果表明织构会降低齿轮TVMS，并且齿轮TVMS随着织构宽度和深度的增大逐渐减小，随着织构间距的增大逐渐增大。考虑到织构会降低齿面摩擦系数，减小齿面磨损，因此在设计齿面织构时需兼顾织构对摩擦系数和TVMS的影响，选取合理的织构参数。研究结果可为今后微织构齿轮动力学性能分析提供理论基础。

Abstract

Studies have found that micro-texture could reduce friction and vibration in gear systems. To analyze the dynamic performance of micro-textured gears，this paper explores their meshing stiffness. In this paper，the bionic tooth surface texture is designed by simulating the surface texture of shark skin. Considering the influence of the tooth surface texture on the effective contact length of the mesh，the time-varying meshing stiffness of the gears is corrected，the time-varying meshing stiffness（TVMS）model of the micro-textured gears is constructed，and the model is verified by finite element method. The influence of texture parameters on gear TVMS is analyzed，and the results show that texture can reduce gear TVMS，and gear TVMS decreases with the increase of texture width and depth，but increase with the increase of texture spacing. Considering that the texture can reduce the friction coefficient and reduce the wear of the gear tooth surface，it is necessary to take into account the effect of texture on friction coefficient and TVMS when designing tooth surface texture. The research results provide a theoretical basis for the analysis of dynamic performance of micro-textured gears in the future.

关键词

微织构齿轮 / 时变啮合刚度模型 / 势能法 / 仿生织构

Key words

micro-textured gears / time-varying mesh stiffness model / potential energy method / bionic texture

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基金资助

国家自然科学基金资助项目(51775158)

安徽省重点研发计划项目(JZ2022AKKG0093)