Transient and steady state analysis of capsize phenomena

Soliman, Mohamed S.; Thompson, J. M. T.

doi:10.1016/s0141-1187(05)80065-3

Cited by 66 publications

(27 citation statements)

References 10 publications

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“…Based upon numerical simulation of Soliman and Thompson's (1991) To implement this theory in a practical, on-board manner, a number of areas for future research arise. Specifically, it would be of use to further study the feasibility of this technique in detecting quiescence as applied to ship based aviation applications via comparison of results from both methods for ship motions in six degrees of freedom.…”

Section: Discussionmentioning

confidence: 99%

“…For the study presented in this work, the simple single degree of freedom roll model for the Edith Terkol established by Soliman and Thompson (1991) and given in Equation 2 was simulated. (Soliman & Thompson, 1991).…”

Section: Regular Seas: Modelling Detailsmentioning

confidence: 99%

“…(Soliman & Thompson, 1991). The term M (t) in regular seas is defined by Equation 3 (Senjanović et al, 2000), where α 0 , the effective wave slope, is taken to equal 0.73 (Francescutto & Serra, 2002;Gu, 2004), ω n and ω e equal 0.62 and 0.527 rad/s respectively (Soliman & Thompson, 1991), and the terms H = 4.94m and λ = 221.94m are chosen to be consistent with results published by Soliman and Thompson in which interesting behavior is detected (1991). The general form of Equation 3 is widely available in the literature (Nayfeh & Khdeir, 1986;Nayfeh & Sanchez, 1990).…”

Section: Regular Seas: Modelling Detailsmentioning

confidence: 99%

“…Each simulation was allowed to run for 100 wave encounters or to the point of capsize. For the purposes of this work capsize was defined as exceeding the vessel's angle of vanishing stability, φ v = 0.88 rad (Soliman & Thompson, 1991).…”

Section: Regular Seas: Modelling Detailsmentioning

confidence: 99%

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Applications of Finite-Time Lyapunov Exponents to the Study of Capsize in Beam Seas

McCue

2011

Fluid Mechanics and Its Applications

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This paper demonstrates the use of finite-time Lyapunov exponents (FTLE) for the detection of large amplitude roll motions and capsize. The study is conducted for a simple, single degree of freedom model of the Edith Terkol in regular and random beam seas. The effectiveness of the FTLE technique is qualitatively compared to a scalar ship motion metric based upon the 'energy index (EI)' concept used for real-time identification of quiescence.

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Section: Discussionmentioning

confidence: 99%

Section: Regular Seas: Modelling Detailsmentioning

confidence: 99%

Section: Regular Seas: Modelling Detailsmentioning

confidence: 99%

Section: Regular Seas: Modelling Detailsmentioning

confidence: 99%

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Applications of Finite-Time Lyapunov Exponents to the Study of Capsize in Beam Seas

McCue

2011

Fluid Mechanics and Its Applications

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“…Complex nonlinear response phenomena of compliant ocean structural systems subjected to periodic wave excitations, including nonharmonics, resonances, and coexistence have been studied analytically and demonstrated via computer simulations ͑Virgin and Bishop 1988; Thompson 1989;Soliman and Thompson 1991;Virgin and Erickson 1994;Yim 1992, 1993͒. Nonlinearities of this class of systems are usually induced by a combination of geometrically nonlinear restoring force and ͑qua-dratic͒ drag force.…”

Section: Introductionmentioning

confidence: 99%

Stochastic Analysis of a Single-Degree-of-Freedom Nonlinear Experimental Moored System Using an Independent-Flow-Field Model

Lin

Yim

2004

J. Eng. Mech.

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Stochastic characteristics of the surge response of a nonlinear single-degree-of-freedom moored structure subjected to random wave excitations are examined in this paper. Sources of nonlinearity of the system include a complex geometric configuration and wave-induced quadratic drag. A Morison-type model with an independent-flow-field formulation and a three-term-polynomial approximation of the nonlinear restoring force is employed for its proven excellent prediction capability for the experimental results investigated. Wave excitations considered in this study include nearly periodic waves, which take into account the presence of tank noise, noisy periodic waves that have predominant periodic components with designed additive random perturbations, and narrow-band random waves. A unified wave excitation model is used to describe all the wave conditions. A modulating factor governing the degree of randomness in the wave excitations is introduced. The corresponding Fokker-Planck formulation is applied and numerically solved for the response probability density functions ͑PDFs͒. Experimental results and simulations are compared in detail via the PDFs in phase space. The PDFs portray coexisting multiple response attractors and indicate their relative strengths, and experimental response behaviors, including transitions and interactions, are accordingly interpreted from the ensemble perspective. Using time-averaged probability density functions as an invariant measure, probability distributions of large excursions in experimental and simulated responses to various random wave excitations are demonstrated and compared. Asymptotic long-term behaviors of the experimental responses are then inferred.

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