An Application of Wave Resistance Theory to Hull Form Design
Takayuki Tsutsumi
Abstract
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Takayuki Tsutsumi
Abstract
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The objective of this paper is to apply linearized wave resistance theory and wave analysis to the hull form design for high speed ships. The paper consists of two parts. One is related to the method of estimation of wave resistance. The other is related to the method of hull form design.We start from the simplification of framelines while we do not vary the sectional area curve, and obtain the calculation formula of wave resistance for simplified hull forms by using Michell's theory. Next we consider a systematic series of parent models, and obtain the estimation formula of wave resistance of the models by comparing between calculation and wave analysis. The hull form of a high speed ship is made by superposing a thin hull form on that of a parent model. Then the amplitude functions of the high speed ship are obtained by superposing the amplitude functions of both hull forms on the basis of the principle of linear superposition.Concerning the method of hull form design, we propose the method to determine sectional area curve and load water line of minimum wave resistance by applying Ritz's method to the estimation formula of wave resistance. Moreover we propose a method to determine principal particulars from a viewpoint of wave resistance.
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The objective of this paper is to apply linearized wave resistance theory and wave analysis to the hull form design for high speed ships. The paper consists of two parts. One is related to the method of estimation of wave resistance. The other is related to the method of hull form design.We start from the simplification of framelines while we do not vary the sectional area curve, and obtain the calculation formula of wave resistance for simplified hull forms by using Michell's theory. Next we consider a systematic series of parent models, and obtain the estimation formula of wave resistance of the models by comparing between calculation and wave analysis. The hull form of a high speed ship is made by superposing a thin hull form on that of a parent model. Then the amplitude functions of the high speed ship are obtained by superposing the amplitude functions of both hull forms on the basis of the principle of linear superposition.Concerning the method of hull form design, we propose the method to determine sectional area curve and load water line of minimum wave resistance by applying Ritz's method to the estimation formula of wave resistance. Moreover we propose a method to determine principal particulars from a viewpoint of wave resistance.
Key concepts: Hull, Superposition principle, Amplitude, Mathematics, Mathematical analysis, Engineering, Marine engineering, Physics