When monitoring the wave-driven motions of a compliant offshore facility, be it an articulated mooring tower or a vessel, the engineer would like to be able to predict, in real time, any incipient jump to resonance that might be imminent due to the slowly evolving sea-state. We explore in this paper a study of some new possible prediction techniques for both a jump to a main fundamental resonance leading to capsize and a flip bifurcation to a subharmonic resonance. Stroboscopic Poincare´ mapping techniques based on discrete time sampling are used to give information about the approach to instability. The first application of these techniques is in the prediction of the jump in resonance and consequent capsize at a cyclic fold in the roll response of a vessel in regular beam seas. Secondly, the techniques are shown to work extremely well in a variety of computational situations when applied to the simulation of an articulated mooring tower during the approach to the potentially dangerous oscillations produced by the onset of subharmonic resonance at a flip bifurcation, in both regular and irregular ocean waves.
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August 1987
Research Papers
Predicting Incipient Jumps to Resonance of Compliant Marine Structures in an Evolving Sea-State
S. R. Bishop,
S. R. Bishop
London Centre for Marine Technology, Department of Civil Engineering, University College, London, U.K.
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L. M. Leung,
L. M. Leung
London Centre for Marine Technology, Department of Civil Engineering, University College, London, U.K.
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L. N. Virgin
L. N. Virgin
London Centre for Marine Technology, Department of Civil Engineering, University College, London, U.K.
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S. R. Bishop
London Centre for Marine Technology, Department of Civil Engineering, University College, London, U.K.
L. M. Leung
London Centre for Marine Technology, Department of Civil Engineering, University College, London, U.K.
L. N. Virgin
London Centre for Marine Technology, Department of Civil Engineering, University College, London, U.K.
J. Offshore Mech. Arct. Eng. Aug 1987, 109(3): 223-228 (6 pages)
Published Online: August 1, 1987
Article history
Received:
April 1, 1985
Revised:
May 6, 1986
Online:
October 30, 2009
Citation
Bishop, S. R., Leung, L. M., and Virgin, L. N. (August 1, 1987). "Predicting Incipient Jumps to Resonance of Compliant Marine Structures in an Evolving Sea-State." ASME. J. Offshore Mech. Arct. Eng. August 1987; 109(3): 223–228. https://doi.org/10.1115/1.3257013
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