分形理论及其在机械结合面中的应用  

Fractal theory and the application in mechanical junction surface

作　　者：宋森熠[1] 王立华[1] 薛二鹏[1] 

机构地区：[1]昆明理工大学机电工程学院,云南昆明650093

出　　处：《机械》2008年第10期1-3,7,共4页Machinery

基　　金：云南省基金项目(2006E021Q)

摘　　要：简述了分形理论的产生经过,具体介绍了分形理论的几何概念。在指出机械加工表面具有统计自相似的结构的同时,介绍了用分形理论描述机械结合面微观形貌的优越性,进一步描述了近年来分形理论在机械加工表面的微观形貌特征的定量化描述中的应用现状。对传统描述方法和分形理论描述的精度及简易程度进行比较,结果表明运用分形理论来描述机械结合面的表面微观形貌特征有其独特的优越性,可以避免传统描述方法的多参数性,同时也解除了采样长度与仪器分辨率的影响。介绍了国内外的研究结果中分形理论在接触模型中的运用状况。认为分形理论最终会从二维发展到三维,能更精确地描述微观形貌,从而进一步建立精确的接触模型。The fractal theory production process has been summarized, and the fractal theory geometry concept meaning has been specifically introduced. In that time machining surface having the self-similar structure of statistics introduced the superiority of using fractal theory described by mechanical surface morphology. Further described that the status quo of fractal theory in the micro-machining surface morphology of the quantitative description in recent years. Comparison the traditional methods and description of fractal theory describes the degree of accuracy and simple, results showed that the use of fractal theory to describe the mechanical integration of the surface morphology has its unique characteristics of the superiority. The multi-parameter can be avoided, and also lifted the length and sampling equipment resolution of the impact. The research results at home and abroad Fractal Theory in contact model in the use of the situation has been introduced. Thinking that fractal theory will eventually develop from two-dimensional to three-dimensional, and can more accurate descript morphology. Thus further establish accurate contact model.

关 键 词：分形理论 微观形貌 接触模型 

分 类 号：O415.5[理学—理论物理]