Mathematical Modeling of Nonlinear Roll Motion of Ships using Homotopy Perturbation Method

Authors

  • R. Umadevi, K. Venugopal, P. Jeyabarathi and L. Rajendran

Abstract

Mathematical modelling of the nonlinear roll motion of a ship is discussed. The model is based on second- order nonlinear equations containing a nonlinear term related to damping and restoring moment. Analytical solution of the nonlinear equations is obtained using a modified homotopy perturbation method. For normal or irregular waves, roll angle, roll velocity, and moment of damping and restoring for the particular ship are also provided. A comparison of the theoretical approximation obtained via the proposed approach shows strong agreement with the numerical results.

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Published

2020-08-01

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Articles