东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2016, Vol. 37 ›› Issue (5): 673-677.DOI: 10.12068/j.issn.1005-3026.2016.05.014

• 机械工程 • 上一篇    下一篇

考虑弹塑性变形的结合面静摩擦系数分形模型

李小彭， 王雪， 运海萌， 安镰锤   

  1. (东北大学 机械工程与自动化学院， 辽宁 沈阳110819)
  • 收稿日期:2015-04-03 修回日期:2015-04-03 出版日期:2016-05-15 发布日期:2016-05-13
  • 通讯作者: 李小彭
  • 作者简介:李小彭(1976-)，男，江西宁都人，东北大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(51275079)； 辽宁省百千万人才工程培养经费资助项目(2014921018).

Static Friction Coefficient Fractal Model of Joint Surfaces with Elastic-Plastic Beformation Considered

LI Xiao-peng， WANG Xue， YUN Hai-meng， AN Lian-chui   

  1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.
  • Received:2015-04-03 Revised:2015-04-03 Online:2016-05-15 Published:2016-05-13
  • Contact: LI Xiao-peng
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摘要： 在传统的M-B接触模型的基础上，引入微凸体的弹塑性变形，建立了结合面静摩擦系数的分形模型.同时，建立了未考虑弹塑性变形的结合面静摩擦系数分形模型，并对两个模型进行仿真比较分析.结果表明:考虑弹塑性变形的结合面静摩擦系数大于未考虑弹塑性变形的结合面静摩擦系数；结合面静摩擦系数与法向载荷和材料特性参数呈正相关，而与分形尺度参数呈负相关；当1.1≤D≤1.5时，结合面静摩擦系数与分形维数呈正相关；当1.5≤D≤1.9时，结合面静摩擦系数与分形维数呈负相关.

关键词: 结合面, 弹塑性变形, 静摩擦系数, 分形模型, 仿真分析

Abstract: Based on the traditional M-B fractal model， the contact fractal model of static friction coefficient with the elastic-plastic deformation was established. At the same time， the model without the elastic-plastic deformation considered was also built as a comparison. The results show that the static friction coefficients with elastic-plastic deformation considered is greater than that without. The static friction coefficient is positively correlated with the normal load and material parameters， but negatively with the fractal scale parameters. For 1.1≤D≤1.5， the static friction coefficient and the fractal dimension are positively correlated， while for 1.5≤D≤1.9， they are negatively correlated.

Key words: joint surfaces, elastic-plastic deformation, static friction coefficient, fractal prediction model, simulation analysis

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