粗糙表面接触问题的数值计算研究  

Numerical Calculating of Contact Problem for Rough Surfaces

作　　者：冯丽[1] 谢沛霖[1] 

机构地区：[1]海军工程大学动力工程学院,武汉430033

出　　处：《武汉理工大学学报》2008年第10期124-126,130,共4页Journal of Wuhan University of Technology

基　　金：湖北省自然科学基金(2005ABA065)

摘　　要：基于Ausloos和Berman提出的推广的W-M函数对具有不同粗糙度参数的分形表面进行仿真模拟。同时,基于前人的理论研究,在模拟的分形粗糙表面基础上建立了微尺度粘着弹塑性接触模型。通过数值模拟,得到了给定条件下各个微凸体上的载荷、真实接触面积、接触斑点尺寸和平均接触压力的分布情况。建立的模型考虑各个微凸体具有不同的峰顶曲率半径,当变形足够大时考虑微凸体间的相互作用,因而较前人建立的模型更符合工程实际,同时也对与分形特征相关的摩擦学模型的进一步研究具有一定的指导作用。Fractal surfaces with different surface roughness are simulated based on generalized W-M function presented by Ausloos and Berman. Then elastic-plastic contact model is developed based on some pioneering work. At last a numerical iteration scheme is used to solve for the load of asperities, the real area of contact for each asperity, the size of the contact spots and the average contact pressure with given conditions. The present elastic-plastic model considers the summits of asperities with different radius and interaction between neighboring asperities when there is enough deformation for an asperity, so it is more practical than previous models, and is also a guide for further research of tribology models related to fractal characteristics.

关 键 词：分形粗糙表面 表面效应 粘着弹塑性接触 

分 类 号：TH117[机械工程—机械设计及理论]