Simulation and modelling of the vibration effect on the hole form in drilling

Abstract

The vibration phenomenon represents the cause of many problems in metal cutting processes. It has a big influence on the quality of the machining operation, tool life and machine precision. Drilling operation is a common metal cutting process where quality of the hole form is often a critical issue. Therefore, it was necessary to predict these vibrations. The first part of this paper deals with modelling and writing equation of motion of a two freedom degrees system for drilling operation. Then, in the second part, we develop a numerical resolution of the governing equation (nonlinear and delayed differential equation) using Newmark Method combined with Newton-Raphson Method. Numerical results of this study have also been shown and comment upon: thrust force and torque (parametrical study in static way), dynamical responses, dynamical cutting force, hole form simulation with amplified vibration amplitude (amplification 1000 time).