ID 113428
著者
Maki, A. Osaka University
Virgin, L.N. Duke University
Umeda, N. Osaka University
Miino, Y. Tokushima University
Sakai, M. Osaka University
キーワード
Nonlinear dynamics
Softening Duffing equation
Capsizing
Pitchfork bifurcation
資料タイプ
学術雑誌論文
抄録
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.
掲載誌名
Journal of Marine Science and Technology
ISSN
09484280
14378213
cat書誌ID
AA11098465
出版者
The Japan Society of Naval Architects and Ocean Engineers|Springer Japan
24
3
開始ページ
846
終了ページ
854
発行日
2018-09-03
備考
The final publication is available at www.springerlink.com
EDB ID
出版社版DOI
出版社版URL
フルテキストファイル
言語
eng
著者版フラグ
その他
部局
情報センター
理工学系