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Interdependence of Amplitude Roughness Parameters on Rough Gaussian Surfaces
Tribology Letters ( IF 3.2 ) Pub Date : 2020-02-14 , DOI: 10.1007/s11249-020-1282-4
Szeréna-Krisztina Fecske , Konstantinos Gkagkas , Carsten Gachot , András Vernes

Abstract

According to international standards, the topography and the quality of machined surfaces can be characterized simultaneously by more than 70 roughness parameters. Despite the increased accuracy of topography measurements by modern instruments, the gained information about the 3D surface is still not well understood. The fact that machined surfaces are in general of Gaussian height distribution motivated the authors to study the interdependence of the standardized amplitude roughness parameters of computer-generated random rough (Gaussian) surfaces. In this contribution, these rough surfaces are created by solving numerically a Langevin-type stochastic differential equation for a defined random process, namely a Gaussian one. This numerical scheme provides rough surfaces of pre-defined statistical features, e.g., given standard deviation and correlation length. The numerical analysis of 17 standardized amplitude roughness parameters collected from 90000 computer-generated rough surfaces revealed so far undetected interdependencies among some of these parameters, namely the results show a strong linear relation between 12 amplitude roughness parameters.

Graphical Abstract



中文翻译:

粗糙高斯表面上振幅粗糙度参数的相互依赖性

摘要

根据国际标准,可以通过70多个粗糙度参数同时表征地形和加工表面的质量。尽管现代仪器提高了地形测量的准确性,但仍未很好地了解所获得的有关3D表面的信息。机加工表面通常具有高斯高度分布这一事实促使作者研究计算机生成的随机粗糙(高斯)表面的标准振幅粗糙度参数的相互依赖性。在这种贡献中,这些粗糙表面是通过为定义的随机过程(即高斯方程)通过数值求解Langevin型随机微分方程而创建的。该数值方案提供了预定义统计特征的粗糙表面,例如 给定标准偏差和相关长度。从90000个计算机生成的粗糙表面收集的17个标准化振幅粗糙度参数的数值分析显示,到目前为止,其中一些参数之间没有发现相互依存的关系,即结果表明12个振幅粗糙度参数之间存在很强的线性关系。

图形概要

更新日期:2020-02-14
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