Evaluation of factors affecting cutting forces with CNC Milling using Graph Theory and Matrix Approach

Abstract

Machinability aspect is of considerable importance for efficient process planning in manufacturing. 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 affectin g
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 digraphs. 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 tool geometry to be machined. GTA methodology reveals that the machine tool has highest index value.
Therefore, it is the most influencing factor affecting cutting force.