O. Gottlieb, BIFURCATIONS OF A NONLINEAR SMALL-BODY OCEAN-MOORING SYSTEM EXCITED BY FINITE-AMPLITUDE WAVES, Journal of offshore mechanics and Arctic engineering, 119(4), 1997, pp. 234-238
We investigate the response of a nonlinear small-body ocean-mooring sy
stem 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 bo
th dissipative and convective terms that are not negligible in a finit
e wave amplitude environment. Stability of periodic motion is determin
ed numerically and the bifurcation structure includes ultrasubharmonic
and quasi-periodic response. The dissipation mechanism is found to co
ntrol stability thresholds, whereas the convective nonlinearity govern
s the evolution to chaotic system response.