A new model to accurately obtain the contact stiffness of the mechanical joint surface is established, which satisfies the continuous smooth contact characteristics of the asperity and also considers the influence of the asperity interaction. In order to satisfy the continuous and smooth contact characteristics of the asperity, the interpolation interval of the Hermite polynomial function is improved to make the asperity contact stiffness curve smoothly transition in the elastic, elastoplastic and completely plastic stages. Further, the contact situation of the joint surface considering the asperity interaction is explored through micro-contact analysis and mechanism research. Finally, using statistical principles, the microscopic contact model is extended to the entire joint surface, and the contact stiffness model of the joint surface is established. The simulation results show that the asperity stiffness model satisfies the continuous smooth contact characteristics. Surface roughness is the main factor that affects the contact stiffness, and the influence of the asperity interaction cannot be ignored.

建立了一种精确获取机械连接面接触刚度的新模型，该模型既满足粗糙面的连续平滑接触特性，又考虑了粗糙面相互作用的影响。为了满足粗糙体的连续和平滑接触特性，改进了Hermite多项式函数的插值间隔，以使粗糙体接触刚度曲线在弹性，弹塑性和完全塑性阶段平滑过渡。此外，通过微接触分析和机理研究，探讨了考虑粗糙相互作用的关节表面的接触情况。最后，使用统计原理，将微观接触模型扩展到整个关节表面，建立了关节面的接触刚度模型。仿真结果表明，粗糙刚度模型满足连续光滑接触特性。表面粗糙度是影响接触刚度的主要因素，粗糙相互作用的影响不容忽视。