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research-article

Numerical Study of Forward and Backward Whirling of Drill-String

[+] Author and Article Information
Marcin Kapitaniak

Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK
marcin.kapitaniak@abdn.ac.uk

Vahid Vaziri

Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK
vahid.vaziri@abdn.ac.uk

Joseph Páez Chávez

Center for Applied Dynamical Systems and Computational Methods (CADSCOM), Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral, P.O. Box 09-01-5863, Guayaquil, Ecuador; Center for Dynamics, Department of Mathematics, TU Dresden, D-01062 Dresden, Germany
jpaez@espol.edu.ec

Marian Wiercigroch

Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK
m.wiercigroch@abdn.ac.uk

1Corresponding author.

ASME doi:10.1115/1.4037318 History: Received November 23, 2016; Revised July 10, 2017

Abstract

This work presents a numerical investigation of the undesired lateral vibrations (whirls) occurring in drill-strings, which is one of the main source of losses in drilling applications. The numerical studies are conducted using a non-smooth lumped parameter model, which has been calibrated based on a realistic experimental drilling rig. The numerical investigations are focused on identifying different types of whirling responses, including periodic and chaotic behaviour. As a result, the parameter space is divided into different regions showing dynamically relevant responses of the model, with special interest in the influence of the mass and angular velocity of the drill-string system. In particular, the study reveals the co-existence of various types of whirling motion for a given set of parameters and their sensitivity to initial conditions. The obtained theoretical predictions confirm previous experimental studies carried out by the authors, which provides a solid basis for a better understanding of whirling phenomena in drill-string applications.

Copyright (c) 2017 by ASME
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