Model Experiments of Ship Capsize in Astern Seas

Umeda, Naoya; Hamamoto, Masami; Takaishi, Yoshinori; Chiba, Yutaka; Matsuda, Akihiko; Sera, Wataru; Suzuki, Shiro; Spyrou, Kostas J.; Watanabe, Kenji

doi:10.2534/jjasnaoe1968.1995.207

Cited by 45 publications

(19 citation statements)

References 5 publications

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“…This accrues from the fact that, as system dynamics has become strongly nonlinear, multiple coexisting types of behavior come into play and the type of response truly exhibited is a matter of initial conditions and magnitude of perturbations generated from the wind/wave environment. Several people have confirmed this behavior through model experiments [10,11]. When the stationary type of behavior is realized, the ship is forced to move with a speed that is equal to wave celerity.…”

Section: Introductionmentioning

confidence: 77%

Asymmetric Surging of Ships in Following Seas and its Repercussions for Safety

Spyrou

2006

Nonlinear Dyn

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A comprehensive investigation of an asymmetric longitudinal motion of ships displayed in long and steep following waves is presented. The focus is on the strongly nonlinear response, on the verge of the so called surf-riding condition, where a ship could be performing large-amplitude longitudinal oscillations around a mean forward speed. Expressions, in closed form, describing transient surge motion on the phase-plane are derived. For steady-state in particular, is shown that it is possible to determine an explicit analytical solution in the time-domain. Simple prediction formulae for the higher limit of asymmetric surging (threshold of global surf-riding) are derived on the basis of two alternative methods. Also, we investigate the effect of asymmetric surging on a ship's tendency for capsize in the neighborhood of wave crests where restoring capability is often reduced. The paper includes, as an Appendix, a review of types of ship instability and a summary of the historical roots of the field.

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Section: Introductionmentioning

confidence: 77%

Asymmetric Surging of Ships in Following Seas and its Repercussions for Safety

Spyrou

2006

Nonlinear Dyn

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“…Munif and Umeda, 2000). In particular, clear experimental records of capsize due to parametric roll in following waves were published by one of the present authors (Umeda et al, 1995).…”

Section: Introductionmentioning

confidence: 92%

A study on the effect of parametric roll on added resistance in regular head seas

Umeda

2016

Ocean Engineering

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“…On the left-hand side of equations (8) to (10), added masses and wave damping terms are assumed to be linear. A quadratic roll damping is considered in equation (9).…”

Section: Mathematical Modelmentioning

confidence: 99%

On the limits of stability of ships rolling in head seas

Neves

Rodríguez

Vivanco

2009

Proceedings of the Institution of Mechanical Engineers, Part M:

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Limits of stability are a well-known and practical way of looking into the problem of parametric resonance. In the present paper an in-depth analysis of parametric rolling is presented employing the concept of limits of stability as a tool for improved understanding and assessment of the complex dynamics embedded in the problem of non-linearly coupled parametric rolling in extreme regular seas. A third-order coupled mathematical model is considered. The coupled modes of heave, roll, and pitch are contemplated. By means of the analysis of the linear variational equation derived from the extended third-order model, the appearance of super-harmonics and increased rigidity -proportional to wave amplitude squared -due to third-order terms is demonstrated. The mathematical model is then cast in the form of a Hill's equation.Two important new aspects are addressed: the possible appearance of upper limits to the unstable area of the diagram; and the computation of numerical limits of stability. These new limits are compared with the analytical results. Subsequently, by computing the bifurcation diagrams, the dependence of the limits of stability on the initial conditions is shown. Finally, the basins of attraction corresponding to two internal regions of the domain of unstable motions are computed.

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Model Experiments of Ship Capsize in Astern Seas

Cited by 45 publications

References 5 publications

Asymmetric Surging of Ships in Following Seas and its Repercussions for Safety

Asymmetric Surging of Ships in Following Seas and its Repercussions for Safety

A study on the effect of parametric roll on added resistance in regular head seas

On the limits of stability of ships rolling in head seas

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