Multi-scale curvature tensor analysis of machined surfaces

Tomasz Bartkowiak, C. Brown
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引用次数: 7

Abstract

Abstract This paper demonstrates the use of multi-scale curvature analysis, an areal new surface characterization technique for better understanding topographies, for analyzing surfaces created by conventional machining and grinding. Curvature, like slope and area, changes with scale of observation, or calculation, on irregular surfaces, therefore it can be used for multi-scale geometric analysis. Curvatures on a surface should be indicative of topographically dependent behavior of a surface and curvatures are, in turn, influenced by the processing and use of the surface. Curvatures have not been well characterized previously. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. In the current work two parts were machined and then one of them was ground. The surface topographies were measured with a scanning laser confocal microscope. Plots of curvatures as a function of position and scale are presented, and the means and standard deviations of principal curvatures are plotted as a function of scale. Statistical analyses show the relations between curvature and these two manufacturing processes at multiple scales.
加工表面的多尺度曲率张量分析
多尺度曲率分析是一种新的表面表征技术,可以更好地理解地形,用于分析由传统加工和磨削产生的表面。曲率与斜率和面积一样,在不规则曲面上随观测或计算的尺度而变化,因此可以用于多尺度几何分析。曲面上的曲率应该表明曲面的地形依赖性行为,而曲率反过来又受到曲面加工和使用的影响。曲率以前没有被很好地描述过。曲率已被用于接触力学的计算和切削刃的评估。在目前的工作中,先对两个零件进行加工,然后对其中一个零件进行磨削。用扫描激光共聚焦显微镜测量表面形貌。给出了曲率随位置和尺度的函数图,并绘制了主曲率的均值和标准差随尺度的函数图。统计分析表明,在多个尺度上曲率与这两种制造过程之间存在关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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