粗糙表面微凸体模型构建与接触特性分析

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (2) : 43-50.

论文

粗糙表面微凸体模型构建与接触特性分析

李玲，何本帅，王晶晶，张锦华，蔡安江

作者信息 +

Asperity model construction and contact characteristics analysis of rough surfaces

LI Ling，HE Benshuai，WANG Jingjing，ZHANG Jinhua，CAI Anjiang

Author information +

文章历史 +

摘要

基于粗糙表面形貌测量试验，提出一种采用二次函数回转体等效微凸体的办法，建立微凸体接触半径与接触变形的解析关系，弥补了半球体模型单一曲率半径的缺陷。然后根据几何模型，重新推导出单个微凸体在弹性、弹塑性和完全塑性三种变形阶段的接触表达式，并应用接触力学理论和概率统计方法，建立粗糙表面的微观接触模型；最后将所建模型与CEB模型、ZMC模型以及KE模型的仿真结果进行了对比，验证了所建模型的有效性，并揭示了塑性指数、微凸体尺寸参数对接触特性的影响规律。研究表明：相比于半球体模型，二次函数模型对微凸体轮廓的拟合效果更好，能够在载荷较大的情况下，更加精确地进行结合面接触特性分析；塑性指数是影响接触刚度的主要因素，塑性指数越大，其接触面积越小，抵抗变形的能力越弱；微凸体尺寸参数对接触刚度的影响较小，微凸体直径与高度的比值越大，接触面积和接触刚度越大。

Abstract

A method using the equivalent asperity of a quadratic rotating body is proposed based on rough surface topography measurement experiments. The analytical relationship between the contact radius and the contact deformation of the asperity is established, which makes up for the defect of a single radius of curvature in the hemisphere model. Then, the contact expressions of a single asperity in three deformation stages of elastic, elastoplastic and fully plastic are deduced through the geometric model. The microscopic contact model of the rough surface is established based on the theory of contact mechanics and statistical methods. Finally, the simulation results of the model are compared with CEB model, ZMC model and KE model to verify the validity. Furthermore, the influence law of plasticity index and asperity size parameters on contact characteristics is revealed. The results show that the quadratic function model is better than the hemisphere model in fitting the contour of the asperity. The model can more accurately analyze the contact characteristics of the joint surface under higher loads. Additionally, the plasticity index is the main factor affecting the contact stiffness, and the contact area decreases with the increase of the plasticity index, resulting in a weaker ability to resist deformation. The influence of asperity size parameters on contact stiffness is relatively small, and the contact area and contact stiffness increase with the increase of the ratio of asperity diameter to height.

导出引用

李玲，何本帅，王晶晶，张锦华，蔡安江. 粗糙表面微凸体模型构建与接触特性分析[J]. 振动与冲击, 2023, 42(2): 43-50

LI Ling，HE Benshuai，WANG Jingjing，ZHANG Jinhua，CAI Anjiang. Asperity model construction and contact characteristics analysis of rough surfaces[J]. Journal of Vibration and Shock, 2023, 42(2): 43-50

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