In this paper, we aim for an improved understanding of the causes for torsional vibrations that appear in rotary drilling systems used for the exploration of oil and gas. For this purpose, an experimental drill-string setup is considered. In that system, torsional vibrations with and without stick-slip are observed in steady state. In order to obtain a predictive model, a discontinuous static friction model is proposed. The steady-state behavior of the drill-string system is analyzed both numerically and experimentally. A comparison of numerical and experimental bifurcation diagrams indicates the predictive quality of the model. Moreover, specific friction model characteristics can be linked to the existence of torsional vibrations with and without stick-slip.
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e-mail: N.Mihajlovic@tue.nl
e-mail: A.A.v.Veggel@tue.nl
e-mail: N.v.d.Wouw@tue.nl
e-mail: H.Nijmeijer@tue.nl
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December 2004
Article
Analysis of Friction-Induced Limit Cycling in an Experimental Drill-String System
N. Mihajlovic´,
e-mail: N.Mihajlovic@tue.nl
N. Mihajlovic´
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
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A. A. van Veggel,
e-mail: A.A.v.Veggel@tue.nl
A. A. van Veggel
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
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N. van de Wouw,
e-mail: N.v.d.Wouw@tue.nl
N. van de Wouw
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
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H. Nijmeijer
e-mail: H.Nijmeijer@tue.nl
H. Nijmeijer
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
Search for other works by this author on:
N. Mihajlovic´
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
e-mail: N.Mihajlovic@tue.nl
A. A. van Veggel
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
e-mail: A.A.v.Veggel@tue.nl
N. van de Wouw
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
e-mail: N.v.d.Wouw@tue.nl
H. Nijmeijer
Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands
e-mail: H.Nijmeijer@tue.nl
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division June 17, 2003; final revision, November 4, 2003. Review conducted by: K. Stelson.
J. Dyn. Sys., Meas., Control. Dec 2004, 126(4): 709-720 (12 pages)
Published Online: March 11, 2005
Article history
Received:
June 17, 2003
Revised:
November 4, 2003
Online:
March 11, 2005
Citation
Mihajlovic´, N., van Veggel, A. A., van de Wouw, N., and Nijmeijer, H. (March 11, 2005). "Analysis of Friction-Induced Limit Cycling in an Experimental Drill-String System ." ASME. J. Dyn. Sys., Meas., Control. December 2004; 126(4): 709–720. https://doi.org/10.1115/1.1850535
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