机加工表面的分形维数与粗糙度之间的关联规律研究  

The law of correlation between fractal dimension and roughness of machined surface

作　　者：宋晖[1] 王雨 吴焱明[1] 张彦[1] 尹延国[1] 陈奇[1] SONG Hui;WANG Yu;WU Yanming;ZHANG Yan;YIN Yanguo;CHEN Qi(School of Mechanical Engineering,Hefei University of Technology,230009 Hefei,China)

机构地区：[1]合肥工业大学机械工程学院,合肥230009

出　　处：《应用力学学报》2022年第5期895-900,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.51775158;51775161);安徽省重点研究与开发资助项目(No.JZ2022AKKG0093)。

摘　　要：为了厘清机加工表面的分形维数和粗糙度参数之间的关联规律,选定6种不同加工方式、不同粗糙度的标准样块,通过测量其表面形貌,并利用结构函数法获得其分形维数。在与各表面的粗糙度参数对比研究后发现:对于车削和刨削的加工表面,其分数维数与表面粗糙度成反比关系;对于平面铣、端面铣、平面磨削和外圆磨削的加工表面,其分形维数与表面粗糙度大体成反比关系,但局部呈现非线性规律。因此,不能简单地将分形维数与表面粗糙度表达为固定的正比或反比关系,需要针对具体对象进行实际测定。本研究有利于丰富机加工表面的表征方法,提高表面的评估精度,具有一定的工程意义和应用价值。In order to clarify the relationship between the fractal dimension and roughness parameters of machined surface,six standard blocks with different machining methods and roughness are selected in this paper.The fractal dimension is obtained by measuring the surface morphology and employing the structure function method.It is found that the fractal dimension is inversely proportional to the surface roughness for the machined surface of lathe and planer,and inversely proportional to the surface roughness for the machined surface of flat milling,end milling,flat grinding and external grinding in terms of the overall trend,but their relationship is nonlinear in some part cases.Therefore,the relationship between fractal dimension and surface roughness cannot be simply expressed as a fixed proportional or inverse,and it needs to be determinate for specific objects.The present research can help enrich the characterization method for machined surface,improve the evaluation accuracy of surface,and has good engineering significance and application value.

关 键 词：机加工表面 分形维数 粗糙度参数 关联规律 

分 类 号：TH117.1[机械工程—机械设计及理论]