Abstracts Volume 4 Number 4

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). 19 refs. (Received in January 2006, accepted in June 2006. This paper was with the authors 1 month for 1 revision.)