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Article

Analysis of Friction-Induced Limit Cycling in an Experimental Drill-String System

[+] Author and Article Information
N. Mihajlović, A. A. van Veggel, N. van de Wouw, H. Nijmeijer

Eindhoven University of Technology, Department of Mechanical Engineering, Dynamics and Control Group, Den Dolech, PO Box 513, 5600 MB Eindhoven, The Netherlands

J. Dyn. Sys., Meas., Control 126(4), 709-720 (Mar 11, 2005) (12 pages) doi:10.1115/1.1850535 History: Received June 17, 2003; Revised November 04, 2003; Online March 11, 2005
Copyright © 2004 by ASME
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Figures

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Experimental drill-string setup
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Friction model at the upper disk
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Friction model at the lower disk
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Estimated friction torques at the lower disk
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Applied normal force at the brake of the lower disk
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Equilibrium branches of the drill-string setup
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Friction damping for suggested friction torque present at the lower disk of the drill-string setup
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Bifurcation diagrams of the drill-string setup
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Two types of limit cycles in state-space: for u=1 V (no stick-slip is present) and for u=2 V (stick-slip is present). x1u−θl,x2=θ̇u,x3=θ̇l.
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Experimental and simulated angular velocity response of the lower disk in steady state for different constant input voltages when the brake is applied
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Simulated and experimental results (circles) of the steady-state analysis of the drill-string setup
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Angular velocity of the lower disk in steady state for different constant input voltages when the brake is applied
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Power spectral density of the angular velocities shown in Fig. 12

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