Bifurcation Theory in Physics: Recent Trends and Problems

Güttinger, W.

doi:10.1007/978-3-0348-7241-6_11

Bifurcation: Analysis, Algorithms, Applications 1987

DOI: 10.1007/978-3-0348-7241-6_11

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Bifurcation Theory in Physics: Recent Trends and Problems

W. Güttinger

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1997

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Dynamic Instability in Quartering Seas—Part III: Nonlinear Effects on Periodic Motions

Spyrou

1997

Journal of Ship Research

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The loss of stability of the horizontal-plane periodic motion of a steered ship in waves is investigated. In earlier reports we referred to the possibility of a broaching mechanism that will be intrinsic to the periodic mode, whereby there will exist no need for the ship to go through the surf-riding stage. However, about this point the discussion was essentially conjectural. In order to provide substance we present here a theoretical approach that is organized in two stages: Initially, we demonstrate the existence of a mechanism of parametric instability of yaw on the basis of a rudimentary, single-degree model of maneuvering motion in waves. Then, with a more elaborate model, we identify the underlying nonlinear phenomena that govern the large-amplitude horizontal ship motions, considering the ship as a multi-degree, nonlinear oscillator. Our analysis brings to light a very specific sequence of phenomena leading to cumulative broaching that involves a change in the stability of the ordinary periodic motion on the horizontal plane, a transition towards subharmonic response and, ultimately, a sudden jump to resonance. Possible means for controlling the onset of such undesirable behavior are also investigated.

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Dynamic Instability in Quartering Seas—Part III: Nonlinear Effects on Periodic Motions

Spyrou

1997

Journal of Ship Research

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Bifurcation Theory in Physics: Recent Trends and Problems

Cited by 1 publication

References 6 publications

Dynamic Instability in Quartering Seas—Part III: Nonlinear Effects on Periodic Motions

Dynamic Instability in Quartering Seas—Part III: Nonlinear Effects on Periodic Motions

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