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等效和粗糙表面参数的预测

Prediction of Parameters of Equivalent Sum Rough Surfaces.

作者信息

Pawlus Pawel, Reizer Rafal, Zelasko Wieslaw

机构信息

Faculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, Powstancow Warszawy 12 Street, 35-959 Rzeszow, Poland.

College of Natural Sciences, University of Rzeszow, Rejtana 16C, 35-959 Rzeszow, Poland.

出版信息

Materials (Basel). 2020 Oct 31;13(21):4898. doi: 10.3390/ma13214898.

DOI:10.3390/ma13214898
PMID:33142869
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7663589/
Abstract

In statistical models, the contact of two surfaces is typically replaced by the contact of a smooth, flat, and an equivalent rough sum surface. For the sum surface, the zeroth, second, and fourth moments of the power spectral density m, m, and m respectively, are the sum of spectral moments of two contacted surfaces. In this work, the selected parameters of the sum surfaces were predicted when the parameters of individual surfaces are known. During parameters selection, it was found that the pair of parameters: Sp/Sz (the emptiness coefficient) and Sq/Sa, better described the shape of the probability ordinate distribution of the analyzed textures than the frequently applied pair: the skewness Ssk and the kurtosis Sku. It was found that the RMS height Sq and the RMS slope Sdq were predicted with very high accuracy. The accuracy of prediction of the average summit curvature Ssc, the areal density of summits Sds, and parameters characterizing the shape of the ordinate distribution Sp/Sz and Sq/Sa was also good (the maximum relative errors were typically smaller than 10%).

摘要

在统计模型中，两个表面的接触通常由一个光滑、平坦的表面与一个等效粗糙和表面的接触来代替。对于和表面，功率谱密度的零阶、二阶和四阶矩(m_0)、(m_2)和(m_4)分别是两个接触表面谱矩之和。在这项工作中，当单个表面的参数已知时，预测了和表面的选定参数。在参数选择过程中，发现参数对：(Sp/Sz)（空隙系数）和(Sq/Sa)，比常用的参数对：偏度(Ssk)和峰度(Sku)，能更好地描述所分析纹理概率纵坐标分布的形状。研究发现，均方根高度(Sq)和均方根斜率(Sdq)的预测精度非常高。平均峰顶曲率(Ssc)、峰顶面积密度(Sds)以及表征纵坐标分布形状的参数(Sp/Sz)和(Sq/Sa)的预测精度也很好（最大相对误差通常小于10%）。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/0ffda962447c/materials-13-04898-g014a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/beba87b07d58/materials-13-04898-g001.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/ef8a96d8d6a1/materials-13-04898-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/00b2c9faad93/materials-13-04898-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/2b859c898431/materials-13-04898-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/eba6d063da42/materials-13-04898-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/f9127ffac050/materials-13-04898-g009a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/423f32507b03/materials-13-04898-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/31469f5ad85c/materials-13-04898-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/b0883e8b8b9e/materials-13-04898-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/3eed354789f5/materials-13-04898-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/0ffda962447c/materials-13-04898-g014a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/beba87b07d58/materials-13-04898-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/c7410b066614/materials-13-04898-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/3c325802c166/materials-13-04898-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/a281c895b9a4/materials-13-04898-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/ef8a96d8d6a1/materials-13-04898-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/00b2c9faad93/materials-13-04898-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/2b859c898431/materials-13-04898-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/eba6d063da42/materials-13-04898-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/f9127ffac050/materials-13-04898-g009a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/423f32507b03/materials-13-04898-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/31469f5ad85c/materials-13-04898-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/b0883e8b8b9e/materials-13-04898-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/3eed354789f5/materials-13-04898-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8704/7663589/0ffda962447c/materials-13-04898-g014a.jpg

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