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基于分形理论的金属材料表面形貌数值模拟与精度验证

Numerical Simulation and Accuracy Verification of Surface Morphology of Metal Materials Based on Fractal Theory.

作者信息

Mu Xiaokai, Sun Wei, Liu Chong, Yuan Bo, Wang Yunlong, Sun Qingchao

机构信息

School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China.

出版信息

Materials (Basel). 2020 Sep 18;13(18):4158. doi: 10.3390/ma13184158.

DOI:10.3390/ma13184158
PMID:32962086
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7560301/
Abstract

This paper presents a numerical simulation method to determine the surface morphology characteristics of metallic materials. First, a surface profiler (NV5000 5022s) was used to measure the surface, and the morphology data thereof were characterized. Second, fractal theory was used to simulate the surface profile for different fractal dimensions and scale coefficients , and statistical analyses of different surface morphologies were carried out. Finally, the fractal dimension of the simulated morphology and the actual morphology were compared. The analysis showed that the error of fractal dimension between the two morphologies was less than 10%; meanwhile, the comparison values of the characterization parameters of the simulated morphology and the actual morphology were approximately equal, and the errors were below 6%. Therefore, the current method used to evaluate the surface morphologies of parts processed by the grinding/milling method can be replaced by the simulated method using the corresponding parameters. This method makes it possible to theorize about the surface morphologies of machined parts, and provides a theoretical basis and reference value for the surface morphology design of materials, with the potential to improve the assembly quality of products.

摘要

本文提出了一种确定金属材料表面形貌特征的数值模拟方法。首先,使用表面轮廓仪(NV5000 5022s)测量表面,并对其形貌数据进行表征。其次,利用分形理论对不同分形维数和尺度系数的表面轮廓进行模拟,并对不同表面形貌进行统计分析。最后,比较模拟形貌和实际形貌的分形维数。分析表明,两种形貌之间分形维数的误差小于10%;同时,模拟形貌与实际形貌表征参数的比较值近似相等,误差低于6%。因此,目前用于评估磨削/铣削加工零件表面形貌的方法可以被使用相应参数的模拟方法所取代。该方法使得对加工零件的表面形貌进行理论分析成为可能,为材料的表面形貌设计提供了理论依据和参考价值,具有提高产品装配质量的潜力。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/f8ddb961b21a/materials-13-04158-g014.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/df2c6fa08a9e/materials-13-04158-g008a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/6b5386317a53/materials-13-04158-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/d1abf347de95/materials-13-04158-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/77bd47e00415/materials-13-04158-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/5435547e1642/materials-13-04158-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/8acb2a354837/materials-13-04158-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/f8ddb961b21a/materials-13-04158-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/e9fba638ed26/materials-13-04158-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/eb634799adf3/materials-13-04158-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/790e2dd17d77/materials-13-04158-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/7b3f85ebab39/materials-13-04158-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/5024a8905b8f/materials-13-04158-g005a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/d29906c65b26/materials-13-04158-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/11cc8e9328b8/materials-13-04158-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/df2c6fa08a9e/materials-13-04158-g008a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/6b5386317a53/materials-13-04158-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/d1abf347de95/materials-13-04158-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/77bd47e00415/materials-13-04158-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/5435547e1642/materials-13-04158-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/8acb2a354837/materials-13-04158-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/45fa/7560301/f8ddb961b21a/materials-13-04158-g014.jpg

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本文引用的文献

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