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结合面静摩擦因数分形模型的建立与仿真
引用本文:田红亮,朱大林,秦红玲.结合面静摩擦因数分形模型的建立与仿真[J].应用力学学报,2011,28(2).
作者姓名:田红亮  朱大林  秦红玲
作者单位:三峡大学,443002,宜昌
摘    要:提出一个确定分形维数和分形粗糙度参数(G')的分形函数,并用分形函数逼近结合面的表面粗糙度.根据分形理论和改进后的尺寸分布,推导了静摩擦因数f的解析解.数字仿真结果表明,f随量纲为一的总法向载荷(P')增加而增加.当D较小或较大时,f与(P')之间存在不同的微凸和微凹弧非线性关系,D=1.2时f与(P')的关系基本上是线性的;当D较小时,f随D增加而增加;当D较大时,f随D增加而减小;f随分形粗糙度参数(G')增加而减小,随相关系数K增加而增加,随材料特性(φ)增加而增加.

关 键 词:结合面  静摩擦因数  域扩展系数  接触点的尺寸分布

Fractal model of static friction coefficient of joint interface and its simulation
Tian Hongliang,Zhu Dalin,Qin Hongling.Fractal model of static friction coefficient of joint interface and its simulation[J].Chinese Journal of Applied Mechanics,2011,28(2).
Authors:Tian Hongliang  Zhu Dalin  Qin Hongling
Institution:Tian Hongliang Zhu Dalin Qin Hongling(College of Mechanical and Material Engineering,China Three Gorges University,Yichang,443002,China)
Abstract:A fractal function,which is adopted to approximate the surface roughness of joint interface,is proposed for the first time in order to determine the fractal dimension and fractal roughness parameter.The static friction coefficient is one of the most important parameters for predicting the dynamic characteristics on bolted joint interface.Using the fractal theory and modified size distribution,the analytic solution to static friction coefficient is deduced.The numerical simulations indicate that the static f...
Keywords:joint interface  static friction coefficient  domain extension factor  size distribution of contact spots  
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