ANALYSING THE ANALYTICAL FORMULATION FOR NONLINEAR ROLL MOTION OF A SHIP WITH IRREGULAR WAVES UTILISING HOMOTOPY PERTURBATION METHOD

D. GOWTHAMAN, P. BALAGANESAN, B. MOHANAMBAL, J. RENUKA, B. ACHOUR

Abstract


Damping is unavoidable for the response of a ship’s roll motion in waves. The roll motion of ships is represented as a second-order nonlinear differential equation that includes a nonlinear notation related to damping and restoring moments. In this paper, a new HPM process is implemented to address this real-time problem. Simple and closed-form analytical representations of the ship’s roll motion and other physical properties have been generated. The results of the numerical simulation were compared to those of the analytical results. It is mentioned that there is satisfactory agreement.


Keywords


mathematical modeling, homotopy perturbation method, nonlinear damping, nonlinear roll response, irregular waves.

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