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粗糙表面的分形特征与分形表达研究
引用本文:葛世荣.粗糙表面的分形特征与分形表达研究[J].摩擦学学报,1997,17(1):73-80.
作者姓名:葛世荣
作者单位:中国矿业大学机械工程系
摘    要:得用触针轮廓仪和数据采集系统对磨削和车削表面的粗糙轮廓曲线进行了测量,并就粗糙表面的分形特征作了分析与讨论,同时还提出了粗糙表面的特征粗糙度概念及其定义,并将其用表面粗糙度水平的表述。

关 键 词:粗糙表面  分形维数  测量  粗糙度

The Fractal Behavior and Fractal Characterization of Rough Surfaces
Ge Shirong.The Fractal Behavior and Fractal Characterization of Rough Surfaces[J].Tribology,1997,17(1):73-80.
Authors:Ge Shirong
Institution:Ge Shirong (Department of Mechanical Engineering China University of Mining and Technology Xuzhou 221008 China
Abstract:Fractal geometry is a new method recently developed to describe the irregular performance.The profiles of ground surfaces and turned surfaces were obtained by the contact profiler.The fractal behavior of these profiles was then investigated and discussed.Moreover,the concept and definition of the characteristic roughness for a rough surface was proposed in order to evaluate the rough level of surfaces.The results show that the rough surfaces will present strong fractal behavior within a certain scale,which can be measured by contact profilers and its fractal dimension can also be estimated with proper methods.A bifractal behavior is shown on ground surfaces and turned surfaces,the second fractal scale depends on the corelation length of profiles.The first fractal dimension relates to roughness of profiles in a negative power function.However,it is found that fractal dimensions are not enough for characterizing the roughness of surfaces as result of the relative measures in multiscales.The characteristic roughness consists of both the similarity of fractal dimension and the absolute representation of scale parameter,which can be used as a parameter to evaluate roughness.The characteristic roughness can not only make a multi scale measurement of rough surfaces but also show high sensitivity and accuracy in characterizing roughness.
Keywords:rough surface  fractal dimension  multi  scale measurement  roughness  
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