摘要
针对粗糙表面微凸体的多样性引起的接触切向刚度的变化,提出粗糙表面切向接触刚度概率分析方法.基于Hertz理论和GW模型,考虑微凸体接触半径与高度均服从正态分布,得到各自的概率密度函数.运用接触力学和统计学原理,计算粗糙表面微凸体的个数,建立粗糙表面切向接触刚度的概率统计模型.采用控制变量法,研究外界载荷、摩擦系数和统计参数对切向接触刚度的影响,与同种工况下分形模型的计算结果与实验结果进行对比.研究结果表明粗糙表面切向接触刚度与法向载荷和摩擦系数成正相关,与切向载荷成负相关;微凸体之间高度或接触半径的正态分布标准差越小,切向接触刚度越大.这与同条件下分形模型及实验得到的结果趋势相一致.
A probability analysis method of tangential contact stiffness on rough surfaces was proposed for the variation of tangential contact stiffness by asperity diversity.The probability density functions were obtained based on Hertz theory and GW model,supposing that the contact radius and height of the asperities obeyed the normal distribution.The number of the asperities on the rough surface was calculated by using the contact mechanics and the statistical principle.Then the probability statistical model of the tangential contact stiffness on rough surfaces was established.The effects on the tangential contact stiffness were analyzed about variable external loads,friction coefficient and statistical parameters by using the control variables method.The probability model results were compared with the fractal model results and the experimental results.The tangential contact stiffness on rough surfaces is positively related to the normal load and friction coefficient,negatively related to the tangential load.The smaller the standard deviation of the normal distribution of the height or of the contact radius among different asperities are,the greater the tangential contact stiffness is.The results accorded with the fractal model results and the experimental results under the same material and roughness.
出处
《浙江大学学报（工学版）》
EI
CAS
CSCD
北大核心
2018年第2期255-260,共6页
Journal of Zhejiang University：Engineering Science
基金
国家自然科学基金资助项目(51675427
50875214
10672134)
关键词
接触面
摩擦
概率统计
切向接触刚度
contact surface
friction
probability statistic
tangential contact stiffness
