基于圆锥微凸体的结合面法向刚度分形模型研究  

Cone elastoplastic fractal model of two contact rough surfaces

作　　者：兰国生[1] 孙万 谭文兵 张学良[1] 温淑花[1] 陈永会[1] LAN Guosheng;SUN Wan;TAN Wenbing;ZHANG Xueliang;WEN Shuhua;CHEN Yonghui(College of Mechanical Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原科技大学机械工程学院,太原030024

出　　处：《振动与冲击》2021年第15期207-215,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(51275328);山西省自然科学基金(201601D011062);山西省‘1331’工程重点学科建设资助项目。

摘　　要：将粗糙表面上的微凸体等效为圆锥体,结合分形理论和改进的W-M函数,建立了结合面法向接触刚度分形模型。对模型进行仿真计算,结果表明:结合面无量纲法向接触载荷随着无量纲接触面积、材料塑性指数和无量纲分形粗糙度参数的增大而增大;随着粗糙面分形维数的增大先减小后增大,且在分形维数等于1.5附近时达到最小值;结合面无量纲法向接触刚度随着无量纲法向接触载荷和材料塑性指数的增大而增大;随着无量纲分形粗糙度参数的增大而减小;随着粗糙面分形维数的增大先增大后减小,且在分形维数等于1.6附近时达到最大值。通过与试验数据对比,验证了该模型的正确性,可用于相关的理论分析与计算。Here,a micro convex body on rough surface was equivalent to a cone,combined with the fractal theory and the improved W-M function,the fractal model for normal contact stiffness of interface between two contact rough surfaces was established.Simulation calculations were done for the model.The results showed that the dimensionless normal contact load on interface increases with increase in dimensionless contact area,material plasticity index and dimensionless fractal roughness parameter;with increase in fractal dimension of rough surface,the dimensionless normal contact load firstly decreases and then increases,and reaches the minimum value when the fractal dimension is about 1.5;the dimensionless normal contact stiffness on interface increases with increase in dimensionless normal contact load and material plasticity index,and decreases with increase in dimensionless fractal roughness parameter;the dimensionless normal contact stiffness increases firstly and then decreases with increase in fractal dimension of rough surface,and reaches the maximum value when the fractal dimension is about 1.6;compared with test data,the correctness of the model is verified,the model can be applied in the related theoretical analysis and calculation.

关 键 词：圆锥微凸体 结合面 分形理论 法向接触刚度 

分 类 号：TH113.1[机械工程—机械设计及理论]