Abstract

On the profilograms obtained for real surfaces machined by different methods, the microprojections resemble elements of sinusoids and cosinusoids. Accordingly, it is of interest to investigate geometric models of such rough surfaces. The analytical expressions obtained for the probability of filling of the rough surface layer with material permit comparison of the results for microprojections bounded by elements of sinusoids and cosinusoids. The probability characteristics of surface roughness described by different analytical curves are tabulated. Comparison of the probability characteristics indicates that they are significantly different. Hence they may be used for assessment of the surface texture after different types of machining. Analytical expressions for the shape of the profiles in Fourier-series form may be used in developing software for CNC machine tools and 3D printers.

中文翻译：

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评定以正弦曲线和正弦曲线为界的表面粗糙度

摘要

在通过不同方法加工的真实表面获得的轮廓图上，微突出物类似于正弦曲线和余弦曲线的元素。因此，研究这种粗糙表面的几何模型是令人感兴趣的。对于用材料填充粗糙表面层的可能性而获得的解析表达式使得可以比较以正弦曲线和余弦曲线元素为边界的微凸起的结果。将通过不同分析曲线描述的表面粗糙度的概率特性制成表格。概率特征的比较表明它们明显不同。因此，它们可用于评估不同类型的加工后的表面纹理。