小波系数表征机械加工表面分形特征的计算方法  

Calculation method for fractal characteristics of machining topography surface based on wavelet coefficients

作　　者：杨红平[1] 傅卫平[1] 王雯[1] 杨世强[1] 李德信[1] 

机构地区：[1]西安理工大学机械与精密仪器工程学院,西安710048

出　　处：《仪器仪表学报》2010年第7期1454-1459,共6页Chinese Journal of Scientific Instrument

基　　金：国家重点基础研究发展计划(973计划)(No.2009CB724406);陕西省教育厅科学研究计划(No.09JK669)资助项目

摘　　要：针对表征机械加工表面轮廓形貌分形特性,提出应用小波变换系数计算分形维数的算法。基于Majumdar-Bhushan分形函数构造典型曲线,采用工程常用的三种小波基函数,通过小波分解提取小波系数,并将在不同分解尺度和阶数下计算出的分形维数进行对比分析和验证,选择出计算分形维数精度较高的小波基函数和分解尺度。用该方法对车削和铣削加工的结合面实验试件表面形貌的分形维数进行计算,评价了表面形貌的分形特征。In this paper, to characterize the fractal characteristics of machining topography surface, a calculation method of fractal dimensions using wavelets transform coefficients is proposed. Typical surface profiles are simulated based on the Majumdar-Bhushan fractal function. The calculated fractal dimensions arc analyzed and validated using three kinds of wavelet functions commonly used in engineering with different decomposition scales and orders. The wavelet function and scale that can obtain higher calculated fractal dimension accuracy are selected. The fractal characteristics of the tested surfaces for turning and milling experiment parts are estimated. Results show that the proposed wavelet transform coefficient method is a powerful tool for the research on fractal surface.

关 键 词：小波变换系数 表面形貌 分形维数 机械加工表面 

分 类 号：TH161.14[机械工程—机械制造及自动化]