Description to wear debris boundaries by radar graph fractal method

作     者：LIU HongTao1,2 & GE ShiRong1 1 Institute of Tribology and Reliability Engineering,China University of Mining & Technology,Xuzhou 221008,China 2 College of Mechanical and Electrical Engineering,China University of Mining & Technology,Xuzhou 221116,China 

作者机构：Institute of Tribology and Reliability Engineering China University of Mining & Technology Xuzhou 221008 China 

出 版 物：《Chinese Science Bulletin》 (CHINESE SCIENCE BULLETIN)

年 卷 期：2007年第52卷第16期

页      面：2285-2290页

核心收录：

学科分类：08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 

基　　金：Partially supported by Key Program of the National Natural Science Foundation of China (Grant No. 50535050) Major State Basic Research Development Program (973 Program, 2007CB607605) 

主　　题：磨粒 边界 雷达图表 分形法 

摘      要：In this paper,radar graph fractal method is introduced to describe wear debris boundaries. Research results show that it is a nice way to describe wear debris boundaries. Since the longest axis is selected as the first coordinate axis,its center point selected as the center point of the radar graph,and the co-ordinate value of wear debris boundary selected as the measure parameter,the limitations existing in Yard fractal measure method can be avoided. For any wear debris,its radar graph fractal dimension value is one and only,and as the wear debris shape changes from round to strip,the radar graph fractal dimension value also changes from low to high,showing strong uniqueness and independence. Due to the fact that the researched wear debris is gotten in different wear states,the results also prove that radar graph fractal dimension value is correlated with frictional pairs work condition and wear state. Radar graph fractal method is compared with Yard fractal measure methods,and results show that ra-dar graph fractal dimension values gotten from different wear debris have enough value grads to avoid effect of errors,and provide higher sensitivity for wear debris shape. This paper also discusses the influencing factors for radar graph fractal method. With the increase of the decomposing degree value,the radar graph fractal dimension tends to keep stable at one certain value,showing the typical characteristic of the fractal theory. All this proves that radar graph fractal method is an effective description method for wear debris boundaries.