Estimation of Rolling Motion of Ship in Random Beam Seas by Efficient Analytical and Numerical Approaches

• 作者: M.Salai Mathi Selvi L.Rajendran Marwan Abukhaled
• 来源期刊: 船舶与海洋工程学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 55-66
• 页数: 12页
• 语种: 英文

摘要

A steady-state roll motion of ships with nonlinear damping and restoring moments for all times is modeled by a second-order nonlinear differential equation. Analytical expressions for the roll angle, velocity, acceleration, and damping and restoring moments are derived using a modified approach of homotopy perturbation method (HPM). Also, the operational matrix of derivatives of ultraspherical wavelets is used to obtain a numerical solution of the governing equation. Illustrative examples are provided to examine the applicability and accuracy of the proposed methods when compared with a highly accurate numerical scheme.