Fractal Analysis in CNC End Milling

Abstract

This chapter deals with the fractal dimension modeling in CNC end milling operation. Milling operations are carried out for three different materials viz. mild steel, brass and aluminium work-pieces for different combinations of spindle speed, feed rate and depth of cut. The generated surfaces are measured with Talysurf instrument and analyzed to get fractal dimension. The experimental results are further processed to model fractal dimension using response surface methodology (RSM). It is seen that spindle speed and depth of cut are the significant factors affecting fractal dimension for mild steel. For brass material, the significant factors are spindle speed and feed rate but for aluminium the significant factor is depth of cut. In general, for mild steel and brass, with increase in spindle speed, D increases. Comparing the developed response surface models, it is concluded that the models are material specific and the tool-work-piece material combination plays a vital role in fractal dimension of the generated surface profile.