THERMAL SCIENCE

International Scientific Journal

Chuhan Shang

,

Huaian Yi

SIMULATION MODEL FOR FRACTAL CHARACTERISTICS OF GRINDING WHEEL SURFACE

ABSTRACT
This article proposes a simulation model for the fractal characteristics of grinding wheel surfaces generated based on specified roughness parameters. The new model is based on the relationship between roughness parameters and fractal dimension, and uses a random Weierstrass-Mandelbrot function and Johnson transformation system to obtain a surface point cloud matrix with non-Gaussian random distribution. Then, the spacing of this matrix was adjusted using random number algorithm and fractal interpolation algorithm to obtain a matrix of abrasive distribution with randomness and self-affinity. The ablation study proved that the model is superior to the fractal function model in calculating roughness parameters. This achievement is of great significance for optimizing the design and manufacture of grinding wheels and improving the quality of grinding operations.
KEYWORDS
grinding wheel surface profile simulation, self-affinity, Weierstrass-Mandelbrot function, Johnson transformation system, fractal interpolation algorithm
PAPER SUBMITTED: 2023-11-13
PAPER REVISED: 2024-05-12
PAPER ACCEPTED: 2024-06-01
PUBLISHED ONLINE: 2025-07-06
DOI REFERENCE: https://doi.org/10.2298/TSCI2503767S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE No. 3, PAGES [1767 - 1774]
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Simulation model for fractal characteristics of grinding wheel surface

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence