Abstract

For surface texture with microprojections bounded by concave semicircles in two-dimensional space, analytical formulas are derived for the probability of filling of the surface layer with material, both within cross sections and layers and over the volume as a whole. Comparison of probability estimates obtained by graphical and analytical methods permits judgments regarding their correspondence to the surface of parts machined by various methods. The probability characteristics provide quantitative assessment of the structure of the microscopic irregularities and take account of their shape, repetition frequency, and height in the case of identical geometric characteristics. An analytical expression for the shape of the profile in Fourier-series form is obtained and may be used in developing software for CNC machine tools.

中文翻译：

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凹半圆界定的表面粗糙度的评估

摘要

对于在二维空间中具有由凹入半圆包围的微凸起的表面纹理，推导了用于在表面和内部以及整个体积内用材料填充表面层的概率的解析公式。通过图形和分析方法获得的概率估计值的比较可以判断它们与通过各种方法加工的零件表面的对应关系。概率特征提供对微观不规则结构的定量评估，并在几何特征相同的情况下考虑其形状，重复频率和高度。获得了傅里叶级数形式的轮廓形状的解析表达式，可用于CNC机床的开发软件。