Nonlinear coupling of unstable ship motions in head seas: bifurcation analysis and erosion of safe basin

Marcelo A. S. Neves; Jerver E. M. Vivanco; Claudio A. Rodríguez

doi:10.1115/OMAE2009-79077

Nonlinear coupling of unstable ship motions in head seas: bifurcation analysis and erosion of safe basin

Marcelo A. S. Neves, Jerver E. M. Vivanco, Claudio A. Rodríguez

Naval Architecture, Ocean And Marine Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

Abstract

Parametric rolling in head seas may lead to large roll angles in few cycles with substantial coupling of this mode with heave and pitch. The present paper investigates in depth the essential dynamical characteristics governing the complex coupling of the three modes at the first region of instability of the limits of stability. Bifurcation diagrams and Poincaré mappings are employed to investigate the appearance of intermittence, multistability and chaos associated with increased values of wave amplitude. Erosion of the safe basin of the coupled system for some sea conditions is also addressed.

Original language	English
Title of host publication	Proceedings of the 28th International Conference on Ocean, Offshore and Arctic Engineering 2009, OMAE2009
Place of Publication	New York
Pages	63-70
Number of pages	8
DOIs	https://doi.org/10.1115/OMAE2009-79077
Publication status	Published - 16 Feb 2010
Event	28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009 - Honolulu, HI, United States Duration: 31 May 2009 → 5 Jun 2009

Conference

Conference	28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009
Country/Territory	United States
City	Honolulu, HI
Period	31/05/09 → 5/06/09

Keywords

bifurcation
erosion
stability

Access to Document

10.1115/OMAE2009-79077

Cite this

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title = "Nonlinear coupling of unstable ship motions in head seas: bifurcation analysis and erosion of safe basin",

abstract = "Parametric rolling in head seas may lead to large roll angles in few cycles with substantial coupling of this mode with heave and pitch. The present paper investigates in depth the essential dynamical characteristics governing the complex coupling of the three modes at the first region of instability of the limits of stability. Bifurcation diagrams and Poincar{\'e} mappings are employed to investigate the appearance of intermittence, multistability and chaos associated with increased values of wave amplitude. Erosion of the safe basin of the coupled system for some sea conditions is also addressed.",

keywords = "bifurcation, erosion, stability",

author = "Neves, {Marcelo A. S.} and Vivanco, {Jerver E. M.} and Rodr{\'i}guez, {Claudio A.}",

year = "2010",

month = feb,

day = "16",

doi = "10.1115/OMAE2009-79077",

language = "English",

isbn = "9780791843413",

pages = "63--70",

booktitle = "Proceedings of the 28th International Conference on Ocean, Offshore and Arctic Engineering 2009, OMAE2009",

note = "28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009 ; Conference date: 31-05-2009 Through 05-06-2009",

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Neves, MAS, Vivanco, JEM & Rodríguez, CA 2010, Nonlinear coupling of unstable ship motions in head seas: bifurcation analysis and erosion of safe basin. in Proceedings of the 28th International Conference on Ocean, Offshore and Arctic Engineering 2009, OMAE2009. New York, pp. 63-70, 28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009, Honolulu, HI, United States, 31/05/09. https://doi.org/10.1115/OMAE2009-79077

Nonlinear coupling of unstable ship motions in head seas: bifurcation analysis and erosion of safe basin. / Neves, Marcelo A. S.; Vivanco, Jerver E. M.; Rodríguez, Claudio A.
Proceedings of the 28th International Conference on Ocean, Offshore and Arctic Engineering 2009, OMAE2009. New York, 2010. p. 63-70.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

TY - GEN

T1 - Nonlinear coupling of unstable ship motions in head seas

T2 - 28th International Conference on Ocean, Offshore and Arctic Engineering, OMAE2009

AU - Neves, Marcelo A. S.

AU - Vivanco, Jerver E. M.

AU - Rodríguez, Claudio A.

PY - 2010/2/16

Y1 - 2010/2/16

N2 - Parametric rolling in head seas may lead to large roll angles in few cycles with substantial coupling of this mode with heave and pitch. The present paper investigates in depth the essential dynamical characteristics governing the complex coupling of the three modes at the first region of instability of the limits of stability. Bifurcation diagrams and Poincaré mappings are employed to investigate the appearance of intermittence, multistability and chaos associated with increased values of wave amplitude. Erosion of the safe basin of the coupled system for some sea conditions is also addressed.

AB - Parametric rolling in head seas may lead to large roll angles in few cycles with substantial coupling of this mode with heave and pitch. The present paper investigates in depth the essential dynamical characteristics governing the complex coupling of the three modes at the first region of instability of the limits of stability. Bifurcation diagrams and Poincaré mappings are employed to investigate the appearance of intermittence, multistability and chaos associated with increased values of wave amplitude. Erosion of the safe basin of the coupled system for some sea conditions is also addressed.

KW - bifurcation

KW - erosion

KW - stability

U2 - 10.1115/OMAE2009-79077

DO - 10.1115/OMAE2009-79077

M3 - Conference contribution book

AN - SCOPUS:77952807188

SN - 9780791843413

SP - 63

EP - 70

BT - Proceedings of the 28th International Conference on Ocean, Offshore and Arctic Engineering 2009, OMAE2009

CY - New York

Y2 - 31 May 2009 through 5 June 2009

ER -

Nonlinear coupling of unstable ship motions in head seas: bifurcation analysis and erosion of safe basin

Abstract

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Keywords

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