Bifurcations of a Nonlinear Small-Body Ocean-Mooring System Excited by Finite-Amplitude Waves

[+] Author and Article Information
O. Gottlieb

Technion—Israel Institute of Technology, Haifa 32000, Israel

J. Offshore Mech. Arct. Eng 119(4), 234-238 (Nov 01, 1997) (5 pages) doi:10.1115/1.2829101 History: Received August 01, 1996; Revised June 29, 1997; Online December 17, 2007


We investigate the response of a nonlinear small-body ocean-mooring system excited by finite-amplitude waves. The system is characterized by a coupled geometrically nonlinear restoring force defined by a single elastic tether. The nonlinear hydrodynamic exciting force includes both dissipative and convective terms that are not negligible in a finite wave amplitude environment. Stability of periodic motion is determined numerically and the bifurcation structure includes ultrasubharmonic and quasi-periodic response. The dissipation mechanism is found to control stability thresholds, whereas the convective nonlinearity governs the evolution to chaotic system response.

Copyright © 1997 by The American Society of Mechanical Engineers
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