Papers Published

1. Bishop, S. R. and Leung, L. M. and Virgin, L. N., 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 (1987), pp. 223 - 228 .
   (last updated on 2007/03/23)

   Abstract:
   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.

   Keywords:
   WATER WAVES;MATHEMATICAL TECHNIQUES - Differential Equations;MATHEMATICAL MODELS;