应用改进分形几何理论的结合部切向刚度模型

田红亮; 陈从平; 方子帆; 赵春华; 朱大林; 刘加伟; 林卫共; 郭江洪; 晏红

doi:10.7652/xjtuxb201407009

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应用改进分形几何理论的结合部切向刚度模型

更新时间：2025-07-09

- 应用改进分形几何理论的结合部切向刚度模型
- Tangential Stiffness Model for Joint Interface Adopting the Revised Fractal Geometric Theory
- 西安交通大学学报 2014年48卷第7期页码：46-52
- 作者机构：
  
  三峡大学机械与动力学院,湖北,宜昌,443002
- 作者简介：
- 基金信息：
  
  : 2013-10-25。作者简介: 田红亮(1973—),男,博士,副教授。基金项目: 国家自然科学基金资助项目(51275273);三峡大学博士科研启动基金资助项目(KJ2012B013)
- DOI：10.7652/xjtuxb201407009
  中图分类号： TH113.1
- 网络首发：2014-07-10，
  
  纸质出版：2014
- 稿件说明：
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田红亮, 陈从平, 方子帆, 等. 应用改进分形几何理论的结合部切向刚度模型[J]. 西安交通大学学报, 2014,48(7):46-52.

Tangential Stiffness Model for Joint Interface Adopting the Revised Fractal Geometric Theory[J]. 2014, 48(7): 46-52.
田红亮, 陈从平, 方子帆, 等. 应用改进分形几何理论的结合部切向刚度模型[J]. 西安交通大学学报, 2014,48(7):46-52. DOI： 10.7652/xjtuxb201407009.

Tangential Stiffness Model for Joint Interface Adopting the Revised Fractal Geometric Theory[J]. 2014, 48(7): 46-52. DOI： 10.7652/xjtuxb201407009.

摘要

针对现有分形接触理论对2个机械部件粗糙表面相互接触形成的结合部的切向接触刚度分形模型存在违反赫兹法向接触力学的缺陷

以改进分形几何理论为基础、在严格应用赫兹法向接触力学的基础上

推导出结合部总切向接触静弹性条件刚度、总条件法向载荷的分析解。数值仿真表明:结合部的切向接触静弹性刚度随着总法向载荷的增加基本上呈线性增加的态势

随着表面轮廓分形维数的增加而增大

随着分形粗糙度的减小而增大; 在恒定法向载荷作用下

最初作用于结合部的切向载荷使得切向接触静弹性刚度最大

该刚度随着切向载荷的增加而减小

随着静摩擦系数的增加而增大; 随着法向载荷的增加

法向接触静弹性刚度的增量加大。该结果可为进一步研究粗糙表面的分形特性提供参考。

Abstract

Aiming at the existing shortcoming violating Hertz normal contact mechanics in the present fractal contact theory for solving the tangential contact stiffness fractal model of joint interface formed through mutual contact between two mechanical components' rough surfaces

the analytical solutions to the joint interface overall tangential contact static elastic stiffness with a definite term and the livelong normal load with a given one were built up following the revised fractal geometric theory and applying rigorously Hertz normal contact mechanics. Numerical simulation indicates that when the entire normal load is increased

the joint interface tangential contact static elastic stiffness rises linearly in all. Also

the joint interface tangential contact static elastic stiffness increases as fractal dimension of a surface profile increases and fractal roughness shrinks. However

when the joint interface is under the action of the constant normal load

this tangential contact static elastic stiffness is the maximum when the tangential load is initially applied and it reduces with the increase in the applied tangential load. The joint interface tangential contact static elastic stiffness increases with the increasing static friction coefficient. The normal loading character is contrary to the tangential loading character

where the incremental normal contact static elastic stiffness increases with the increase in the applied normal load. These results may lay the consultation for research on the fractal characterization of rough surface.

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references

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