Abstract
A drillstring for drilling oil or gas wells is one of the most slender structures known, and hence is liable to experience vibration and stability problems. The larger upper part is held in tension, so one may genuinely refer to the structure as a string rather than as a beam, but the lower part is usually kept in compression in order to enhance the penetration of the bit. This lower part is composed of a series of thick-walled tubes (collars) and coarsely grooved elements with a larger diameter (stabilizers). The string may perform axial, torsional and bending vibrations, which are coupled. Especially bending vibrations of the lower part are hard to observe at surface, but down-hole measurements have shown their importance [1].
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References
J. K. Vandiver, J. W. Nicholson and R.-J. Shyu, “Case studies of the bending vibration and whirling motion of drill collars,” SPE Drilling Engineering 5 (1990), pp. 282–290. Also in Proceedings Drilling Conference,February 28-March 3, 1989, New Orleans, Louisiana, IADC/SPE, Richardson TX, Paper SPE/IADC 18652, pp. 291–304.
J. D. Jansen, “Non-linear rotor dynamics as applied to oilwell drillstring vibrations,” Journal of Sound and Vibration 147 (1991), pp. 115–135.
J. P. Meijaard, Dynamics of Mechanical Systems, Algorithms for a Numerical Investigation of the Behaviour of Non-Linear Discrete Models, Dissertation, Delft, 1991.
J. D. Jansen, Nonlinear Dynamics of Oilwell Drillstrings, Dissertation, Delft University Press, Delft, 1993.
G. H. M. van der Heijden, “Bifurcation and chaos in drillstring dynamics,” Chaos, Solitons & Fractals 3 (1993), pp. 219–247.
G. H. M. van der Heijden, Nonlinear Drillstring Dynamics, a Quest for the Origin of Chaotic Vibrations, Dissertation, Utrecht, 1994.
J. G. Baker, “Self-induced vibrations,” Transactions of the ASME, Journal of Applied Mechanics 1 (1933), pp. 5–13.
J. P. den Hartog, Mechanical Vibrations, McGraw-Hill, New York and London, 1934.
A. Muszynska, “Rotor-to-stationary element rub-related vibration phenomena in rotating machinery — literature survey,” The Shock and Vibration Digest 21(3) (1989), pp. 3–11.
J. P. Meijaard, “Continuation of stationary and periodic solutions and their bifurcations,” Report No 1179, Laboratory for Engineering Mechanics, Delft University of Technology, Delft, September 1998.
. J. P. Meijaard, “Efficient numerical integration of the equations of motion of non-smooth mechanical systems,” Zeitschrift für angewandte Mathematik und Mechanik 77 (1997), pp. 419–427.
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, etc., 1983.
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Meijaard, J.P. (2000). Lateral Vibrations of the Lower Part of a Drillstring. In: Lavendelis, E., Zakrzhevsky, M. (eds) IUTAM / IFToMM Symposium on Synthesis of Nonlinear Dynamical Systems. Solid Mechanics and its Applications, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4229-8_22
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DOI: https://doi.org/10.1007/978-94-011-4229-8_22
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