Flank face interaction in high magnitude chatter investigation in time domain.

Abstract

A case of high magnitude chatter vibrations of a flexible tubular part is considered via dynamical modelling in time domain, in a delayed differential equation (DDE) framework. A ploughing term is introduced into the tool-workpiece interaction law. This term is based on a penalty-type law depending on the instant effective clearance angle. This ploughing interaction produces a vibration limiting mechanism featuring realistic maximum magnitudes, as compared to experimental measurements. It is also shown that in spite of interrupted surface pattern, the cut remains continuous under chatter. Furthermore, this model restitutes re-stabilisation at the exit of a stability lobe, with several instabilities occurring during the operation.