On the loss of stability of periodic oscillations and its relevance to ship capsize

Accepted

Journal Article

© 2018, JASNAOE. This research revisits the analysis of roll motion and the possible capsize of floating vessels in beam seas. Many analytical investigations of this topic have adopted the softening Duffing equation, which is similar to the ship roll equation of motion. Here we focus on the loss of stability of periodic oscillations and its relevance to ship capsize. Previous researchers have found the thresholds of the saddle-node, flip, and heteroclinic bifurcations. They derived the flip condition from the negative stiffness condition in a Mathieu type variational equation. In our revisited analysis, we show that this threshold is identical to a pitchfork bifurcation. On the other hand, we simultaneously find that the generated asymmetry solution is unstable due to the limitation of the first order analysis.

Full Text

Duke Authors

Cited Authors

  • Maki, A; Virgin, LN; Umeda, N; Ueta, T; Miino, Y; Sakai, M; Kawakami, H

Published Date

  • January 1, 2018

Published In

International Standard Serial Number (ISSN)

  • 0948-4280

Digital Object Identifier (DOI)

  • 10.1007/s00773-018-0591-x

Citation Source

  • Scopus