铣削加工表面轮廓的几何分形特征  

Geometry Fractal Characteristics of Milled Surface Profiles

作　　者：淦犇[1] 黄宜坚[1] 

机构地区：[1]华侨大学机电及自动化学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2010年第4期371-377,共7页Journal of Huaqiao University(Natural Science)

基　　金：福建省高新技术开发研究计划重点项目(2005H035);福建省自然科学基金计划资助项目(A0610020)

摘　　要：将分形几何学运用于铣削表面的形貌研究,分别采用结构函数法和重标极差分析法,计算出不同铣削表面的分形维数D和垂直尺度因子G.根据计算结果,运用改进Weierstrass-Mandelbrot分形函数模拟仿真出相应的表面轮廓,并画出实测表面轮廓和模拟表面轮廓的高度归一化概率密度分布图.试验结果表明,铣削表面轮廓分形维数D、垂直尺度因子G随着表面粗糙度的增加而降低;仿真出的表面轮廓和实测表面轮廓具有相同的高度归一化的概率密度分布,并能更加真实地反映出表面轮廓的细微结构.The fractal geometry was used to investigate the microtopography of the milled surface.By use of the method of structural function and of rescaled range analysis,the fractal dimension D and vertical scale coefficient G of the different milled surfaces can be obtained.According to the calculation results,the corresponding surface profiles are simulated by using the improved the Weierstrass-Mandelbrot fractal function and the graphs of high degree of normalization probability density distribution of the measured and simulated surface profiles are plotted.The experimental results have shown that the fractal dimension D and vertical scale coefficient G of the milled surface profile decrease with the increase of roughness,the simulated and measured surface profiles have the same high degree of normalization probability density distribution and the former can reflect the fine structure of the surface profiles more really.

关 键 词：分形几何 分维维数 垂直尺度系数 铣削 表面轮廓 

分 类 号：TH161.14[机械工程—机械制造及自动化] TG54[金属学及工艺—金属切削加工及机床]