0
Research Papers

Draft: Stick-Slip Motions of a Rotor-Stator System

[+] Author and Article Information
Nicholas Vlajic

Department of Mechanical Engineering,
University of Maryland,
College Park, MD 20742
e-mail: vlajic@umd.edu

Chien-Min Liao

Department of Mechanical Engineering,
University of Maryland,
College Park, MD 20742
e-mail: gimmy@umd.edu

Hamad Karki

Department of Mechanical Engineering,
The Petroleum Institute,
Abu Dhabi, UAE
e-mail: hkarki@pi.ac.ae

Balakumar Balachandran

ASME Fellow
Department of Mechanical Engineering,
University of Maryland,
College Park, MD 20742
e-mail: balab@umd.edu

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 22, 2012; final manuscript received October 28, 2013; published online December 16, 2013. Assoc. Editor: Yukio Ishida.

J. Vib. Acoust 136(2), 021005 (Dec 16, 2013) (8 pages) Paper No: VIB-12-1078; doi: 10.1115/1.4025994 History: Received March 22, 2012; Revised October 28, 2013

In the current study, the authors examine the torsional vibrations of a rotor enclosed within a stator subjected to dry friction. Through the experiments, it is demonstrated that forward whirling of the rotor occurs while in contact with the stator, backward whirling occurs with contact, as well as impacting motions, which are characterized by nonsynchronous whirling with rotor-stator collisions. While undergoing these motions, the torsional oscillations are excited by stick-slip interactions. Experimental data are presented to show the presence of a stable torsional mode dominated motion while subjected to stick-slip forces during dry-friction whirling. In this motion state, the torsional oscillation response occurs at a combination of frequencies including drive and whirl frequencies. A finite dimensional model is constructed and simulations carried out by using this model are able to capture the system dynamics, including the torsional responses observed during dry-friction whirling. Numerical results obtained by using this model are consistent with experimental observations. The findings of this study are relevant to whirling motions experienced by rotating, long flexible structures, such as drill strings used in oil-well explorations.

FIGURES IN THIS ARTICLE
<>
Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.

References

Black, H., 1967, “Synchronous Whirling of a Shaft Within a Radially Flexible Annulus Having Small Radial Clearance,” Proc. Inst. Mech. Eng., 181(1), pp. 65–73. [CrossRef]
Black, H., 1968, “Interaction of a Whirling Rotor With a Vibrating Stator Across a Clearance Annulus,” J. Mech. Eng. Sci., 10(1), pp. 1–12. [CrossRef]
Feng, Z., and Zhang, X., 2002, “Rubbing Phenomena in Rotor-Stator Contact,” Chaos, Solitons Fractals, 14(2), pp. 257–267. [CrossRef]
Yamamoto, T., and Ishida, Y., 2001, Linear and Nonlinear Rotordynamics: A Modern Treatment With Applications, Wiley-Interscience, New York.
Muszynska, A., 1986, “Whirl and Whip—Rotor/Bearing Stability Problems,” J. Sound Vib., 110(3), pp. 443–462. [CrossRef]
Liao, C., Balachandran, B., Karkoub, M., and Abdel-Magid, Y., 2011, “Drill-String Dynamics: Reduced-Order Models and Experimental Studies,” ASME J. Vib. Acoust., 133(4), p. 041008. [CrossRef]
Liao, C., Vlajic, N., Karki, H., and Balachandran, B., 2012, “Parametric Studies on Drill-String Motions,” Int. J. Mech. Sci., 54(1), pp. 260–268. [CrossRef]
Vlajic, N., Liao, C., Karki, H., and Balachandran, B., 2011, “Stick-Slip and Whirl Motions of Drill Strings: Numerical and Experimental Studies,” ASME Paper No. DETC2011-47949. [CrossRef]
Leine, R., van Campen, D., and Keultjes, W., 2002, “Stick-Slip Whirl Interaction in Drillstring Dynamics,” ASME J. Vib. Acoust., 124(2), pp. 209–220. [CrossRef]
Li, G., and Paidoussis, M., 1994, “Impact Phenomena of Rotor-Casing Dynamical Systems,” Nonlinear Dyn., 5, pp. 53–70. [CrossRef]
Kreuzer, E., and Struck, H., 2005, “Active Damping of Spatio-Temporal Dynamics of Drill-Strings,” IUTAM Symposium on Chaotic Dynamics and Control of Systems in Processes in Mechanics, Vol. 122, Springer, Berlin/Heidelberg, pp. 407–417. [CrossRef]
Christoforou, A., and Yigit, A., 1997, “Dynamic Modelling of Rotating Drillstrings With Borehole Interactions,” J. Sound Vib., 206(2), pp. 243–260. [CrossRef]
Jansen, J., 1993, “Nonlinear Dynamics of Oilwell Drillstrings,” Ph.D. thesis, Delft University of Technology, Delft, Netherlands.
Melakhessou, H., Berlioz, A., and Ferraris, G., 2003, “A Nonlinear Well-Drillstring Interaction Model,” ASME J. Vib. Acoust., 125(1), pp. 46–52. [CrossRef]
Mihajlovic, N., van Veggel, A., van de Wouw, N., and Nijmeijer, H., 2004, “Analysis of Friction-Induced Limit Cycling in an Experimental Drill-String System,” J. Dyn. Syst., Meas., Control, 126(4), pp. 709–720. [CrossRef]
Mihajlovic, N., van de Wouw, N., Rosielle, P., and Nijmeijer, H., 2007, “Interaction Between Torsional and Lateral Vibrations in Flexible Rotor Systems With Discontinuous Friction,” Nonlinear Dyn., 50(3), pp. 679–699. [CrossRef]
Edwards, S., Lees, A., and Friswell, M., 1999, “The Influence of Torsion on Rotor/Stator Contact in Rotating Machinery,” J. Sound Vib., 225(4), pp. 767–778. [CrossRef]
Diangui, H., 2000, “Experiment on the Characteristics of Torsional Vibration of Rotor-to-Stator Rub in Turbomachinery,” Tribol. Int., 33, pp. 75–79. [CrossRef]
Nayfeh, A., and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New York.
Rosenstein, M., Collins, J., and Luca, C. D., 1993, “A Practical Method for Calculating Largest Lyapunov Exponents From Small Data Sets,” Physica D, 65, pp. 117–134. [CrossRef]
Khulief, Y., Al-Sulaiman, F., and Bashmal, S., 2007, “Vibration Analysis of Drillstrings With Self-Excited Stick-Slip Oscillations,” J. Sound Vib., 299(3), pp. 540–558. [CrossRef]
Piovan, M., and Sampaio, R., 2006, “Nonlinear Model for Coupled Vibrations of Drill-Strings,” Mecanica Computacional, 25, pp. 1751–1765.

Figures

Grahic Jump Location
Fig. 1

Experimental arrangement of laboratory scale drilling apparatus

Grahic Jump Location
Fig. 2

Experimentally observed forward whirling motions: (a) trajectory of rotor center within the stator, (b) time histories of the v(L, t) and w(L, t) displacement components, and (c) Fourier spectra of complex displacement quantity

Grahic Jump Location
Fig. 3

Experimentally observed backward whirling motions: (a) trajectory of rotor center within the stator, (b) time histories of the v(L, t) and w(L, t) displacement components, and (c) Fourier spectra of complex displacement quantity

Grahic Jump Location
Fig. 4

Experimentally observed impacting motions: (a) trajectory of rotor center within the stator, (b) time histories of the v(L, t) and w(L, t) displacement components, and (c) Fourier spectra of complex displacement quantity

Grahic Jump Location
Fig. 5

Experimentally observed torsional strain: (a) time history and (b) single sided Fourier spectra of the time history

Grahic Jump Location
Fig. 6

Model of the string and rotor-stator system used to generate the equations of motion

Grahic Jump Location
Fig. 7

Comparisons for the same input parameters: (a) experimental results and (b) numerical results

Grahic Jump Location
Fig. 8

System response during dry-friction whirl: (a) relative speed, (b) torsional displacement time history, and (c) Fourier spectrum of the torsional response

Grahic Jump Location
Fig. 9

Phase diagram of the torsional response during dry-friction whirl for the data presented in Fig. 8

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In