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