Linear stability analysis of self-excited vibrations in drilling using an infinite dimensional model

This paper deals with predicting the occurrence of self-excited vibrations during drilling. Previous work postulates that these are due to the coupling between the distributed drill string system and the regenerative effect in the bit-rock interaction law. We use a previously developed distributed model and the linearized bit-rock interaction law to derive a graphical condition for stability based on the Nyquist stability criterion. (C) 2015 Elsevier Ltd. All rights reserved.