The random Gaussian surface model proposed by Nayak is important to many statistical summit-based microcontact models. A Gaussian distribution is usually assumed for the summit heights as many surfaces have a Gaussian distribution of surface heights. In this work, based on Nayak’s model, the skewness and kurtosis of the summit-height distribution are derived as a function of the bandwidth parameter α. The correctness of these two equations is verified using a numerical scheme that generates random Gaussian surfaces with various α values. Also, practical contact simulations are performed to demonstrate the significance of the proposed equations and also to show the error of using a Gaussian distribution versus a correct asymmetric distribution for the summit heights.
Extracting Summit Roughness Parameters From Random Gaussian Surfaces Accounting for Asymmetry of the Summit Heights
Contributed by the Tribology Division for publication in the ASME JOURNAL OF TRIBOLOGY. Manuscript received by the Tribology Division February 23, 2004; revised manuscript received May 25, 2004. Review conducted by: C.-P. Roger Ku (Assoc. Editor).
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Yu , N., and Polycarpou, A. A. (November 9, 2004). "Extracting Summit Roughness Parameters From Random Gaussian Surfaces Accounting for Asymmetry of the Summit Heights ." ASME. J. Tribol. October 2004; 126(4): 761–766. https://doi.org/10.1115/1.1792698
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