On the Loss of Stability of Periodic Oscillations and its Relevance to Ship Capsize
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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Availability:
- Find a library where document is available. Order URL: http://worldcat.org/issn/09484280
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Supplemental Notes:
- © 2018, JASNAOE. The contents of this paper reflect the views of the authors and do not necessarily reflect the official views or policies of the Transportation Research Board or the National Academy of Sciences.
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Authors:
- Maki, A
- Virgin, L N
- Umeda, N
- Ueta, T
- Miino, Y
- Sakai, M
- Kawakami, H
- Publication Date: 2019-9
Language
- English
Media Info
- Pagination: pp 846-854
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Serial:
- Journal of Marine Science and Technology
- Volume: 24
- Issue Number: 3
- Publisher: Springer Japan
- ISSN: 0948-4280
- EISSN: 1437-8213
- Serial URL: http://link.springer.com/journal/773
Subject/Index Terms
- TRT Terms: Capsizing; Nonlinear systems; Oscillation; Rolling; Ship dynamic stability; Ship motion
- Subject Areas: Maintenance and Preservation; Marine Transportation; Vehicles and Equipment;
Filing Info
- Accession Number: 01719819
- Record Type: Publication
- Files: TRIS
- Created Date: Oct 22 2019 2:38PM