Fractal Analysis of Laser Cutting Heavy Plate Surface Topography

Abstract

The estimation and characterization of laser cutting heavy plate surface topography is very significant to the study on the formation mechanism of laser cutting surface and the relationship between machined surface formation and the processing parameters. The article characterizes the surface topography of the laser cutting heavy plate based on the fractal geometry theory, use box-counting method to calculate the fractal dimension of the laser cutting heavy plate surface. The results show the laser cutting heavy plate surface of low carbon steel has a obvious fractal feature, the fractal dimension of laser cutting surface range from 1.283 to 1.395 in a certain scale, the laser cutting surface topography is relatively complex, the relation between Fractal dimension D and surface roughness Ra are not linear correspondence, and then the surface topography of laser cutting heavy plate can be comprehensively estimated in accordance with D and Ra.