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Three-dimensional asperity model of rough surfaces based on valley–peak ratio of the maximum peak

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Abstract

Three-dimensional asperity model of rough surfaces is proposed using valley–peak ratio (VPR) of the maximum peak. Asperities of rough surfaces are reconstructed according to paraboloid asperity function, which is derived using least square method and asperity projection plane determined via VPR. The minimum profile deviation between reconstructed asperities and rough surface is calculated using simulated annealing method to optimize VPR. Effects of simulated mutation surfaces, measured surfaces, and different sampling intervals (SIs) on profile deviation are investigated. Compared with nine–point method, the proposed model demonstrates a smaller deviation of mutational rough surface, the absence of interference among asperities, and more stable surface parameters and contact mechanics performance at different SIs.

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Acknowledgements

The authors gratefully acknowledge the support by the National Natural Science Foundation of China (Grant No. 52075153 and 52005051) and Natural Science Foundation of Hunan Province (Grant No. 2019JJ40020).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People’s Republic of China

    Changjiang Zhou, Haihang Wang & Hongbing Wang

  2. College of Automotive and Mechanical Engineering, Changsha University of Science & Technology, Changsha, 410076, People’s Republic of China

    Bo Hu

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  1. Changjiang Zhou
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  2. Haihang Wang
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  3. Hongbing Wang
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  4. Bo Hu
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Correspondence to Changjiang Zhou or Bo Hu.

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Zhou, C., Wang, H., Wang, H. et al. Three-dimensional asperity model of rough surfaces based on valley–peak ratio of the maximum peak. Meccanica 56, 711–730 (2021). https://doi.org/10.1007/s11012-021-01309-3

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