ID 113428
Author
Maki, A. Osaka University
Virgin, L.N. Duke University
Umeda, N. Osaka University
Miino, Y. Tokushima University
Sakai, M. Osaka University
Keywords
Nonlinear dynamics
Softening Duffing equation
Capsizing
Pitchfork bifurcation
Content Type
Journal Article
Description
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.
Journal Title
Journal of Marine Science and Technology
ISSN
09484280
14378213
NCID
AA11098465
Publisher
The Japan Society of Naval Architects and Ocean Engineers|Springer Japan
Volume
24
Issue
3
Start Page
846
End Page
854
Published Date
2018-09-03
Remark
The final publication is available at www.springerlink.com
EDB ID
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
その他
departments
Center for Administration of Information Technology
Science and Technology