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Abstract : The main purpose of this study is the description of the qualitative dynamical response of a rotary drilling system with a drag bit, using a model that takes into consideration the axial and the torsional vibration modes of the bit. The studied model, based on the interface bit-rock, contains a couple of wave equations with boundary conditions consisting of the angular speed and the axial speed at the top additionally to the angular and axial acceleration at the bit whose contain a realistic frictional torque. Our analysis is based on the center manifold Theorem and Normal forms theory whose allow us to simplify the model.
https://hal.archives-ouvertes.fr/hal-00832013
Contributor : Hugues Mounier
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Submitted on : Sunday, June 9, 2013 - 7:39:15 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM
Long-term archiving on : Tuesday, September 10, 2013 - 4:08:32 AM
Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu, Arben Cela. Analysis of drilling vibrations: A time-delay system approach. 20th Mediteranean Conference on Control and Automation, Jul 2012, Barcelona, Spain. p. 610-614. ⟨hal-00832013⟩
