• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2016, Vol. 52 ›› Issue (7): 114-121.doi: 10.3901/JME.2016.07.114

• 摩擦学 • 上一篇    下一篇

考虑摩擦因素的两圆柱体表面接触承载能力的分形模型研究

陈奇, 黄守武, 张振, 邱明明   

  1. 合肥工业大学机械与汽车工程学院 合肥 230009
  • 出版日期:2016-04-05 发布日期:2016-04-05
  • 作者简介:陈奇(通信作者),男,1979年出生,副教授,硕士研究生导师。主要研究方向为机械传动及其控制,分形理论及其应用。E-mail:qichen@hfut.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(51305116)

Research on Fractal Contact Model for Contact Carrying Capacity of Two Cylinders’ Surfaces Considering Friction Factors

CHEN Qi, HUANG Shouwu, ZHANG Zhen, QIU Mingming   

  1. School of Mechanical and Automotive Engineering, Hefei University of Technology, Hefei 230009
  • Online:2016-04-05 Published:2016-04-05

摘要: 为了建立更为准确的两圆柱表面接触承载能力分析的分形接触模型,以M-B模型为基础,利用存在摩擦时的弹塑性变形临界接触面积的计算理论,并结合前期获得的两圆柱体接触面积分布公式,推导考虑摩擦因素的圆柱体表面接触承载能力的分形模型。通过Matlab仿真,获得模型中主要参数对分形接触模型影响的预测分析,结果表明:减小摩擦因数,降低粗糙度幅值以及提高材料的特性参数,有利于提高接触承载能力,并改善接触面间的力学特性;分形维数对接触承载能力的影响,不是一个简单线性关系,而是存在一个分形维数的最优值。该模型的研究为后续进行齿轮等相关产品的接触承载分析提供新的理论参考。

关键词: 分形理论, 接触承载能力, 摩擦, 圆柱体

Abstract: In order to establish more accurate fractal contact model for analyzing contact carrying capacity of two cylinder’s surfaces, the process of creating a new fractal contact model considering the friction factors is presented. This model is derived by substituting the theory of calculating critical contact area of elastoplastic deformation with friction, and the equation of contact area distribution for cylinder surfaces into M-B model. Through the prediction analysis of the model affected by the main parameters in the Matlab, it is concluded that decreasing the friction coefficient, reducing the roughness amplitude and increasing material propertied parameters is helpful to improve the contact carrying capacity and ameliorate the mechanical characteristics of two contact bodies; the effects of fractal dimension on contact carrying capacity can’t be described as a simple linear relations and there is an optimal value of fractal dimension for the maximal contact carrying capacity. The research of the model helps to provide a new theory conference for analyzing the contact carrying capacity of gears and the other related products.

Key words: contact carrying capacity, cylinders, fractal theory, friction

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