摘要
利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，并将其用于表面粗糙度水平的表述．研究结果表明：粗糙表面具有明显的分形特征，而且能够通过常规轮廓仪测量和适当的计算方法得到它的分形维数；加工表面具有二重分形特征，第二分形的起点尺度与相关长度几乎成正比；第一分形维数与粗糙度的关系可以用负指数描述；特征粗糙度结合分形维数的相似测量和尺度参数的绝对测量，其数值能够表达表面的粗糙度水平；特征粗糙度不仅能体现表面多尺度测量的标度律特性，而且又不失表达粗糙度的灵敏性和准确性．
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.
出处
《摩擦学学报》
EI
CAS
CSCD
北大核心
1997年第1期73-80,共8页
Tribology
基金
国家自然科学基金
关键词
粗糙表面
分形维数
测量
粗糙度
rough surface fractal dimension multi scale measurement roughness
