Open AccessFeature Analysis of Fractal Surface Roughness Based on Three-dimensional W-M Function
Author(s) -
Zhejing Bao,
Laihong Zhou
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1906/1/012020
Subject(s) - fractal dimension , fractal , amplitude , standard deviation , surface (topology) , mathematics , surface roughness , surface finish , fractal analysis , geometry , mathematical analysis , scale (ratio) , physics , optics , materials science , statistics , thermodynamics , composite material , quantum mechanics
The three-dimensional W-M fractal function was used to simulate the rough surface, and the different fractal parameters correspond to the different surface morphology. In order to explore the influence rule of fractal dimension D and scale coefficient G on the surface profile, the fractal dimension D value was 2.5, and the scale factor G value was 1E-14. The mean height, standard deviation and spectrum characteristics of the surface contour were analyzed. The results show that under the action of a single fractal parameter, the surface roughness R a and the surface contour height standard deviation std all decrease with the increase of D, and increase with the increase of G, and the change trend is basically the same. When D is kept constant and only G is a variable, the surface height value of frequency components remain unchanged, the amplitude of each frequency decreases with the decrease of G; G remains unchanged but only D is a variable, with the increase of D, the frequency amplitude changes slowly, and the amplitude decreases.