1990•The Journal of Japan Institute of NavigationOpen access

Ship's Rolling Motion Analysis from the Nonlinear Dynamics Point of View-II : Ship Motion in Wind Waves by Global Theory of Nonlinear Ordinary differential Equations

Rihei KAWASHIMA

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Abstract

Using the method given in the previous paper, the author has been analysed the ship's rolling motion in wind waves by the model experiments. The coefficients of nonlinear differential equation for the ship rolling motion at sea have been deduced from the experimental data and solved by Runge-Kutta method for Froud-Krilov forces described in various functions. Based on both of the solutions of equation and the experimental results, statistics, power spectra and Poincare mapping functions have been calculated. The utilities of the mathematical model for the ship motion in the experiments have been discussed.

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Using the method given in the previous paper, the author has been analysed the ship's rolling motion in wind waves by the model experiments. The coefficients of nonlinear differential equation for the ship rolling motion at sea have been deduced from the experimental data and solved by Runge-Kutta method for Froud-Krilov forces described in various functions. Based on both of the solutions of equation and the experimental results, statistics, power spectra and Poincare mapping functions have been calculated. The utilities of the mathematical model for the ship motion in the experiments have been discussed.

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Available abstract

Using the method given in the previous paper, the author has been analysed the ship's rolling motion in wind waves by the model experiments. The coefficients of nonlinear differential equation for the ship rolling motion at sea have been deduced from the experimental data and solved by Runge-Kutta method for Froud-Krilov forces described in various functions. Based on both of the solutions of equation and the experimental results, statistics, power spectra and Poincare mapping functions have been calculated. The utilities of the mathematical model for the ship motion in the experiments have been discussed.

Key concepts: Nonlinear system, Response amplitude operator, Motion (physics), Equations of motion, Ordinary differential equation, Classical mechanics, Differential equation, Mathematical analysis

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