Experimental Study on Fractal Laws of Cutting Force for Machining Irregular Surface of Granite

Abstract

Based on orthogonal experiment of machining the irregular surface of Wulian red granite (G3768) with diamond profiling wheel, the relations between the fractal dimensions of cutting forces with machining parameters are studied. Cutting speed, feed speed and cutting depth are considered as the process parameters. The cutting force in machining granite operation are measured and the fractal dimension are calculated using using the algorithm of correlation dimension. From main effect plots the fractal dimensions of three directions of cutting forces are reduced with the increase of cutting speed and increased with the increase of feed speed and cutting depth. The mathematic models of fractal dimension of cutting force are developed by analysis of regression. The results of the ANOVA show that cutting speed and feed speed have remarkable influence to fractal dimensionDx,DyandDz.