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Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state

Publication ,  Journal Article
Bishop, SR; Leung, LM; Virgin, LN
Published in: Journal of Offshore Mechanics and Arctic Engineering
January 1, 1987

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. © 1987 by ASME.

Duke Scholars

Published In

Journal of Offshore Mechanics and Arctic Engineering

DOI

EISSN

1528-896X

ISSN

0892-7219

Publication Date

January 1, 1987

Volume

109

Issue

3

Start / End Page

223 / 228

Related Subject Headings

  • Energy
  • Civil Engineering
  • 0914 Resources Engineering and Extractive Metallurgy
  • 0913 Mechanical Engineering
  • 0911 Maritime Engineering
  • 0905 Civil Engineering
 

Citation

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Bishop, S. R., Leung, L. M., & Virgin, L. N. (1987). Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state. Journal of Offshore Mechanics and Arctic Engineering, 109(3), 223–228. https://doi.org/10.1115/1.3257013
Bishop, S. R., L. M. Leung, and L. N. Virgin. “Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state.” Journal of Offshore Mechanics and Arctic Engineering 109, no. 3 (January 1, 1987): 223–28. https://doi.org/10.1115/1.3257013.
Bishop SR, Leung LM, Virgin LN. Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state. Journal of Offshore Mechanics and Arctic Engineering. 1987 Jan 1;109(3):223–8.
Bishop, S. R., et al. “Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state.” Journal of Offshore Mechanics and Arctic Engineering, vol. 109, no. 3, Jan. 1987, pp. 223–28. Scopus, doi:10.1115/1.3257013.
Bishop SR, Leung LM, Virgin LN. Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state. Journal of Offshore Mechanics and Arctic Engineering. 1987 Jan 1;109(3):223–228.

Published In

Journal of Offshore Mechanics and Arctic Engineering

DOI

EISSN

1528-896X

ISSN

0892-7219

Publication Date

January 1, 1987

Volume

109

Issue

3

Start / End Page

223 / 228

Related Subject Headings

  • Energy
  • Civil Engineering
  • 0914 Resources Engineering and Extractive Metallurgy
  • 0913 Mechanical Engineering
  • 0911 Maritime Engineering
  • 0905 Civil Engineering