高度分布函数与自相关函数对表面粗糙度参数的影响

目的研究具有不同高度分布和自相关函数的表面形貌的粗糙度参数变化。方法利用数字滤波法构造具有特定参数(如倾斜度、峰值、最快下降自相关长度和纹理高宽比、高度方差)的粗糙度表面,然后比较和分析不同类型形貌的参数。结果算术平均峰曲率不随高度分布函数和自相关函数变化,均方根斜率、界面开发面积比和峰密度随各种高度分布函数和自相关函数变化的影响较大。结论算术平均峰曲率不能表征高度分布和自相关函数。比较相同高度分布的表面形貌时,应对纹理高宽比、最快下降自相关长度、均方根斜率、界面开发面积比和峰密度进行比较。当比较不同高度分布的形貌时,应该对高度类参数倾斜度、峰值、高度均方根、最大高度、最大谷值和最大峰高进行比较。

Effects of Autocorrelation Function and Height Distribution Function on the 3D Surface Roughness Parameters

Objective: This paper studies the change of roughness parameters of surfaces with different height distribution functions (HDF) and auto-correlation functions (ACF). Method: The three-dimensional random surfaces are constructed by using the two-dimensional digital filter method with specific roughness parameters, such as skewness, kurtosis, fastest decay auto-correlation length, texture aspect ratio and root mean square of surface, and the characteristic parameters of different surfaces are compared and analyzed. Result: The arithmetic mean peak curvature does not depend on HDF and ACF; root mean square slope, developed interfacial area ratio and density of summit are influenced heavily by HDF and ACF. Conclusion: It is concluded that the arithmetic mean peak curvature is not suitable to characterize the HDF and ACF. When analyzing the surfaces generated from the same HDF, texture aspect ratio, fastest decay auto-correlation length, root mean square slope, developed interfacial area ratio and density of summits should be addressed. When analyzing the surfaces generated from the different HDFs, amplitude parameters such as skewness, kurtosis, root-mean square, maximum height of topographic surface, maximum valley height and maximum peak height should be addressed.