A Static Friction Factor Model of Grinding Rough Surface Based on Fractal Theory

CHENG Yu; BU Yingbin; WAN Zhenping; LIU Zhangmin

doi:10.16080/j.issn1671-833x.2024.07.125

您当前的位置：

首页 >

文章列表页 >

A Static Friction Factor Model of Grinding Rough Surface Based on Fractal Theory

更新时间：2025-10-30

- A Static Friction Factor Model of Grinding Rough Surface Based on Fractal Theory
- Aeronautical Manufacturing Technology Vol. 67, Issue 7, Pages: 125-130(2024)
- 作者机构：
  
  华南理工大学,广州,510640
- 作者简介：
- 基金信息：
- DOI：10.16080/j.issn1671-833x.2024.07.125
  CLC：
- Published：2024
- 稿件说明：
移动端阅览
成雨，卜颖滨，万珍平，刘章敏. 基于分形理论的磨削粗糙表面静摩擦系数模型[J]. 航空制造技术, 2024, 67(7): 125-130.

CHENG Yu, BU Yingbin, WAN Zhenping, LIU Zhangmin. A Static Friction Factor Model of Grinding Rough Surface Based on Fractal Theory[J]. Aeronautical Manufacturing Technology, 2024, 67(7): 125-130.
成雨，卜颖滨，万珍平，刘章敏. 基于分形理论的磨削粗糙表面静摩擦系数模型[J]. 航空制造技术, 2024, 67(7): 125-130. DOI： 10.16080/j.issn1671-833x.2024.07.125.

CHENG Yu, BU Yingbin, WAN Zhenping, LIU Zhangmin. A Static Friction Factor Model of Grinding Rough Surface Based on Fractal Theory[J]. Aeronautical Manufacturing Technology, 2024, 67(7): 125-130. DOI： 10.16080/j.issn1671-833x.2024.07.125.

摘要

为更准确地计算磨削粗糙表面的静摩擦系数，本文综合考虑了微凸体相互作用和区域扩展系数的影响，基于分形几何理论和Hertz接触理论，并利用切向接触载荷的基本理论，推导了磨削粗糙表面的真实接触面积、法向总载荷和切向总载荷，建立磨削粗糙表面的静摩擦系数分形模型，通过数值仿真研究了不同法向总载荷、分形维数、高度尺度参数以及材料参数对粗糙表面静摩擦系数的影响规律。仿真结果表明，磨削粗糙表面的静摩擦系数随着法向总载荷的增加而增加，随着高度尺度参数或材料参数的增大而减小；静摩擦系数和分形维数存在非线性关系，当分形维数小于2.65时，静摩擦系数随着分形维数的增大而增大，当分形维数大于2.65时，静摩擦系数随分形维数的增大而减小。最后通过试验和现有模型验证了本文模型的有效性。

Abstract

In order to predict the static friction of grinding surface more accurately

based on fractal geometry theory

Hertz contact theory and tangential contact load theory

the actual contact area

total normal contact load

and total tangential contact load are deduced and the fractal model of static friction coefficient is established accounting for asperity interaction and the domain extension factor. The effects of total normal contact load

fractal dimension

and height scaling parameter as well as material parameters on the static friction coefficient are investigated. Calculation results show that the static friction coefficient increases with the increase of normal contact load. The static friction coefficient decreases as the height scaling parameters or material parameters increase. The static friction coefficient depends sensitively on the fractal dimension and exhibits nonmonotonic characteristics. The static friction coefficient increases with the increasing of fractal dimension as the fractal dimension is less than 2.65; the static friction coefficient increases with the decreasing of fractal dimension as the fractal dimension is more than 2.65. Finally

the effectiveness of the static friction coefficient is compared with the existing model as well as experimental results.

关键词

Keywords

references

Views

178

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Strength Design and Optimization of Aviation Filter Assembly Based on CF/PEEK Composite

Electromechanical Behavior of Open-Hole Three-Dimensional Angle-Interlock Woven Carbon Fiber Reinforced Polymer Under Tensile Loading

Research on Ultrasonic Vibration-Assisted Milling and Grinding of Ceramic Matrix Composites

Design and Experimental Verification of Stitching Forming System for Rigid Sandwich Composite Preforms

Modulation of Pore Structure and Properties in Phenolic Aerogels by Cationic Polyelectrolytes

Related Author

No data

Related Institution

No data

⁰