Simulation of Abrasive Belt Topography Based on Generation of Random Rough Surface

Abstract

In this paper, the real surface topography was measured at first to provide the theoretical bases for developing a novel quick numerical simulation method. The result showed that the protrude height of abrasive belt surface appeared to be non-Gaussian distributed. And its auto-correlation function was found to be in exponential form and anisotropic. By using given skewness, kurtosis and auto-correlation function, the novel simulation method is provided, which is based on Johnson translator system and 2D-linear filter technique. This method overcomes the shortcomings of the experimental method to achieve the required topography of abrasive belt with certain statistic characteristics by using given skewness and kurtosis and auto-correlation function. The comparison between simulated surface and measured topography revealed that they share the same probabilistic characteristics.