Nonlinear optimization method of ship floating condition calculation in wave based on vector |
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| Authors: | Ning Ding Jian-xing Yu |
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| Institution: | 1. Key Laboratory of Harbor and Ocean Engineering of Tianjin, Tianjin University, Tianjin, 300072, China
2. Military Transportation Institute of the General Logistics Department, Tianjin, 300161, China
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| Abstract: | Ship floating condition in regular waves is calculated. New equations controlling any ship’s floating condition are proposed by use of the vector operation. This form is a nonlinear optimization problem which can be solved using the penalty function method with constant coefficients. And the solving process is accelerated by dichotomy. During the solving process, the ship’s displacement and buoyant centre have been calculated by the integration of the ship surface according to the waterline. The ship surface is described using an accumulative chord length theory in order to determine the displacement, the buoyancy center and the waterline. The draught forming the waterline at each station can be found out by calculating the intersection of the ship surface and the wave surface. The results of an example indicate that this method is exact and efficient. It can calculate the ship floating condition in regular waves as well as simplify the calculation and improve the computational efficiency and the precision of results. |
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| Keywords: | ship floating condition vector operation regular wave nonlinear optimization dichotomy accumulativechord length |
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