Performance evaluation of factors affecting cutting forces on CNC Milling using Digraph and Matrix method

Machinability aspect is of considerable importance for efficient process planning in manufacturing. Machinability of an engineering material may be evaluated in terms of the process output variables like material removal rate, processed surface finish, cutting forces, tool life, specific power consumption, etc. In this paper, graph theoretic approach (GTA) is proposed to evaluate the cutting force during CNC milling. Cutting force is considered as a machinability attribute during CNC milling to evaluate the effect of several factors and their subfactors. Factors affecting the cutting force and their interactions are analyzed by developing a mathematical model using digraph and matrix method. Permanent function or machinability index is obtained from the matrix model developed from the dig raphs. This index value helps in quantifying the influence of considered factors on cutting force. In the present illustration, factors affecting cutting force during CNC milling are grouped into five broad factors namely work material, machine tool, cutter runout, penetration strategies, and to ol geometry to be machined. GTA methodology reveals that the machine tool has highest index value. Therefore, it is the most influencing factor affect ing cutting force. KeywordsGraph theory, Index value, CNC Milling, Cutting Force