Nonlinear dynamics of ship capsizing at sea

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  • Maki Atsuo
    Department of Naval Architecture and Ocean Engineering, Graduate School of Engineering, Osaka University
  • Miino Yuu
    Department of Electric and Electronic Engineering, School of Engineering, Tokyo University of Technology
  • Umeda Naoya
    Department of Naval Architecture and Ocean Engineering, Graduate School of Engineering, Osaka University
  • Sakai Masahiro
    Department of Naval Architecture and Ocean Engineering, Graduate School of Engineering, Osaka University
  • Ueta Tetsushi
    Center for Administration of Information Technology, Tokushima University
  • Kawakami Hiroshi
    Tokushima University

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<p>Capsizing is one of the worst scenarios in oceangoing vessels. It could lead to a high number of fatalities. A considerable number of studies have been conducted until the 1980s, and one of the discoveries is the weather criterion established by the International Maritime Organization (IMO). In the past, one of the biggest difficulties in revealing the behavior of ship-roll motion was the nonlinearity of the governing equation. On the other hand, after the mid-1980s, the complexity of the capsizing problem was uncovered with the aid of computers. In this study, we present the theoretical backgrounds of the capsizing problem from the viewpoint of nonlinear dynamics. Then, we discuss the theoretical conditions and mechanisms of the bifurcations of periodic solutions and numerical attempts for the bifurcations and capsizing.</p>

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