Nonlinear dynamics on parametric rolling of ships in head seas

Marcelo Neves; Jerver E.M. Vivanco; Claudio Alexis Rodriguez Castillo

Nonlinear dynamics on parametric rolling of ships in head seas

Marcelo Neves, Jerver E.M. Vivanco, Claudio Alexis Rodriguez Castillo

Naval Architecture, Ocean And Marine Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

The present paper employs nonlinear dynamics tools in order to investigate the dynamical 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. Lyapunov exponents corresponding to the three coupled models are computed.

Original language	English
Number of pages	12
Publication status	Published - 22 Jun 2009
Event	STAB 2009: 10th International Conference on Stability of Ships and Ocean Vehicles - St Petersberg, Russian Federation Duration: 22 Jun 2009 → 24 Jun 2009

Conference

Conference	STAB 2009: 10th International Conference on Stability of Ships and Ocean Vehicles
Country/Territory	Russian Federation
City	St Petersberg
Period	22/06/09 → 24/06/09

Keywords

head seas
parametric rolling prediction

Cite this

@conference{45eabfb98d5f4a21902def8cbd8a2870,

title = "Nonlinear dynamics on parametric rolling of ships in head seas",

abstract = "The present paper employs nonlinear dynamics tools in order to investigate the dynamical 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. Lyapunov exponents corresponding to the three coupled models are computed.",

keywords = "head seas, parametric rolling prediction",

author = "Marcelo Neves and Vivanco, \{Jerver E.M.\} and \{Rodriguez Castillo\}, \{Claudio Alexis\}",

year = "2009",

month = jun,

day = "22",

language = "English",

note = "STAB 2009: 10th International Conference on Stability of Ships and Ocean Vehicles ; Conference date: 22-06-2009 Through 24-06-2009",

}

TY - CONF

T1 - Nonlinear dynamics on parametric rolling of ships in head seas

AU - Neves, Marcelo

AU - Vivanco, Jerver E.M.

AU - Rodriguez Castillo, Claudio Alexis

PY - 2009/6/22

Y1 - 2009/6/22

N2 - The present paper employs nonlinear dynamics tools in order to investigate the dynamical 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. Lyapunov exponents corresponding to the three coupled models are computed.

AB - The present paper employs nonlinear dynamics tools in order to investigate the dynamical 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. Lyapunov exponents corresponding to the three coupled models are computed.

KW - head seas

KW - parametric rolling prediction

M3 - Paper

T2 - STAB 2009: 10th International Conference on Stability of Ships and Ocean Vehicles

Y2 - 22 June 2009 through 24 June 2009

ER -

Nonlinear dynamics on parametric rolling of ships in head seas

Abstract

Conference

Keywords

Fingerprint

Cite this