The probability of capsizing for a dynamical system with time-varying piecewise linear stiffness is presented. The simplest case is considered, in which only the angle of the maximum of the restoring curve is changing. These changes are assumed to be dependent on wave excitation; such a system can be considered as a primitive model of a ship in beam seas, where all changes in stability are caused by heave motions. A split-time approach is used, in which capsizing is considered as a sequence of two random events: upcrossing through a certain threshold (non14 rare problem) and capsizing after upcrossing (rare problem). To reflect the time15 varying stability, a critical roll rate is introduced as a stochastic process defined at any instant of time. Capsizing is then associated with an upcrossing when the instantaneous roll rate exceeds the critical roll rate defined for the instant of upcrossing. A self-consistency check of the method, in which a statistical frequency of capsizing was obtained by time-domain evaluation of the response of the piecewise linear dynamical system and favorably compared with the theoretical prediction is described.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Probability of Capsizing in Beam Seas with Piecewise Linear Stochastic GZ Curve


    Weitere Titelangaben:

    Fluid Mechanics, Appl.


    Beteiligte:
    Almeida Santos Neves, Marcelo (Herausgeber:in) / Belenky, Vadim L. (Herausgeber:in) / de Kat, Jean Otto (Herausgeber:in) / Spyrou, Kostas (Herausgeber:in) / Umeda, Naoya (Herausgeber:in) / Belenky, Vadim (Autor:in) / Reed, Arthur M. (Autor:in) / Weems, Kenneth M. (Autor:in)


    Erscheinungsdatum :

    2011-05-17


    Format / Umfang :

    24 pages





    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Short-Term Analysis of Ship Capsizing Probability in Random Seas

    Chai, Wei / He, Lin / Leira, Bernt J. et al. | British Library Conference Proceedings | 2022



    EXPERIMENTAL INVESTIGATION ON CAPSIZING OF A PURSE SEINER IN BEAM SEAS

    Shin, C. I. / Bulgaria Society of Naval Architects and Marine Engineers / National Committee of Theoretical and Applied Mechanics et al. | British Library Conference Proceedings | 1997


    On the Probability of Ship Capsizing

    Shama,M.A. | Kraftfahrwesen | 1976


    CAPSIZING IN BEAM SEAS-CHAOS AND BIFURCATIONS: HINTS FOR A PANEL DISCUSSION

    Francescutto, A. / Bulgaria Society of Naval Architects and Marine Engineers / National Committee of Theoretical and Applied Mechanics et al. | British Library Conference Proceedings | 1997