A NONSMOOTH APPROACH FOR THE MODELLING OF A MECHANICAL ROTARY DRILLING SYSTEM WITH FRICTION

Samir Adly (1) , Daniel Goeleven (2)

1 XLIM-MATHIS - Mathématiques & Sécurité de l'information
2 PIMENT - Physique et Ingénierie Mathématique pour l'Énergie, l'environnemeNt et le bâtimenT

In this paper, we show how the approach of nonsmooth dynamical systems can be used to develop a suitable method for the modelling of a rotary oil drilling system with friction. We study different kinds of frictions and analyse the mathematical properties of the involved dynamical systems. We show that using a general Stribeck model for the frictional contact, we can formulate the rotary drilling system as a well-posed evolution variational inequality. Several numerical simulations are also given to illustrate both the model and the theoretical results.

Domaines: Mathématiques [math]; Optimisation et contrôle [math.OC]

Samir Adly, Daniel Goeleven. A NONSMOOTH APPROACH FOR THE MODELLING OF A MECHANICAL ROTARY DRILLING SYSTEM WITH FRICTION. Evolution Equations and Control Theory, In press, X, ⟨10.3934/xx.xx.xx.xx⟩. ⟨hal-02433100⟩