2022
DOI: 10.3390/fractalfract6060341
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A Novel Modeling Method of Micro-Topography for Grinding Surface Based on Ubiquitiform Theory

Abstract: In order to simulate the grinding surface more accurately, a novel modeling method is proposed based on the ubiquitiform theory. Combined with the power spectral density (PSD) analysis of the measured surface, the anisotropic characteristics of the grinding surface are verified. Based on the isotropic fractal Weierstrass–Mandbrot (W-M) function, the expression of the anisotropic fractal surface is derived. Then, the lower bound of scale invariance δmin is introduced into the anisotropic fractal, and an anisotr… Show more

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Cited by 3 publications
(2 citation statements)
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“…Das et al analyzed several parameters in parallel and found high deviations in the Ssk parameter in the case of extruded surfaces [46]. Liu et al analyzed ground surfaces based on the Ssk parameter and also found relatively high fluctuation in the parameter value [47].…”
Section: Resultsmentioning
confidence: 99%
“…Das et al analyzed several parameters in parallel and found high deviations in the Ssk parameter in the case of extruded surfaces [46]. Liu et al analyzed ground surfaces based on the Ssk parameter and also found relatively high fluctuation in the parameter value [47].…”
Section: Resultsmentioning
confidence: 99%
“…Haruyama et al [20] obtained the formula between the metal gasket (with surface topography parameters) and the volume leakage rate through experiments. Liu et al [21] constructed an anisotropic W-M function based on ubiquitiform theory. They established a model of the grinding surface that can accurately characterize the fractal features of the grinding surface.…”
Section: Introductionmentioning
confidence: 99%