Bifurcation analysis of unstable ship motions resulting from strong nonlinear coupling

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

doi:10.1007/BF03449240

Bifurcation analysis of unstable ship motions resulting from strong nonlinear coupling

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

^*Corresponding author for this work

Naval Architecture, Ocean And Marine Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The present paper employs modern nonlinear dynamics tools in order to investigate the dynamic characteristics governing the complex coupling of the heave, roll and pitch modes in head seas at some regions of the numerical stability map of a fishing vessel. Bifurcation diagrams and Poincaré mappings are computed and employed to investigate the appearance of multistability and chaos associated with increased values of the selected control parameter, the wave amplitude. The connection between these nonlinear characteristics and the coupled nature of the mathematical model are analyzed.

Original language	English
Pages (from-to)	23-31
Number of pages	9
Journal	Marine Systems and Ocean Technology
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF03449240
Publication status	Published - 1 Dec 2009

Keywords

bifurcations
nonlinear dynamics
parametric rolling
ship stability

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10.1007/BF03449240

Cite this

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title = "Bifurcation analysis of unstable ship motions resulting from strong nonlinear coupling",

abstract = "The present paper employs modern nonlinear dynamics tools in order to investigate the dynamic characteristics governing the complex coupling of the heave, roll and pitch modes in head seas at some regions of the numerical stability map of a fishing vessel. Bifurcation diagrams and Poincar{\'e} mappings are computed and employed to investigate the appearance of multistability and chaos associated with increased values of the selected control parameter, the wave amplitude. The connection between these nonlinear characteristics and the coupled nature of the mathematical model are analyzed.",

keywords = "bifurcations, nonlinear dynamics, parametric rolling, ship stability",

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

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T1 - Bifurcation analysis of unstable ship motions resulting from strong nonlinear coupling

AU - Neves, Marcelo A. S.

AU - Vivanco, Jerver E. M.

AU - Rodríguez, Claudio A.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - The present paper employs modern nonlinear dynamics tools in order to investigate the dynamic characteristics governing the complex coupling of the heave, roll and pitch modes in head seas at some regions of the numerical stability map of a fishing vessel. Bifurcation diagrams and Poincaré mappings are computed and employed to investigate the appearance of multistability and chaos associated with increased values of the selected control parameter, the wave amplitude. The connection between these nonlinear characteristics and the coupled nature of the mathematical model are analyzed.

AB - The present paper employs modern nonlinear dynamics tools in order to investigate the dynamic characteristics governing the complex coupling of the heave, roll and pitch modes in head seas at some regions of the numerical stability map of a fishing vessel. Bifurcation diagrams and Poincaré mappings are computed and employed to investigate the appearance of multistability and chaos associated with increased values of the selected control parameter, the wave amplitude. The connection between these nonlinear characteristics and the coupled nature of the mathematical model are analyzed.

KW - bifurcations

KW - nonlinear dynamics

KW - parametric rolling

KW - ship stability

U2 - 10.1007/BF03449240

DO - 10.1007/BF03449240

M3 - Article

AN - SCOPUS:85183965937

SN - 1679-396X

VL - 5

SP - 23

EP - 31

JO - Marine Systems and Ocean Technology

JF - Marine Systems and Ocean Technology

IS - 1

ER -

Bifurcation analysis of unstable ship motions resulting from strong nonlinear coupling

Abstract

Keywords

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