水面と直交しない浮体の動揺問題の解法とIrregular Frequencyの簡易な除去法

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Some integral equation methods are examined to solve the two-dimentional oscillation problem on non-wall sided floating bodies. Takagi et al. showed that the integral equation method using source distributions on body surface does not give the precise hydrodynamic solutions in the case of the floating-body with concave body section as shown in Fig. 1 and the cause is the singularity of velocity of x-axis direction at the intersections of body contour with free surface. The methods of the solution used to solve this prolblem are as follows: a) Source Distribution Method (Abbreviated SDM) b) Modified Source Distribution Method (MSDM) c) Combined Integral Equation Method (CIEM) SDM is the well-known integral equation method using source distributions on body surface. MSDM is the method proposed by Kobus and modified SDM to eliminate the singularity at the intersections of body contour with free surface. CIEM is the method modified green's integral equation to eliminate the irregular frequencies by means of adding simple extra integral relation derived from Green's theorem applied to the interior region of body contour. The examined results show the followings: i) CIEM gives the precise solution for arbitrary shapes including concave type section because the preceding problem does not occur (Appendix A-2) and the solution by MSDM is preciser than one by SDM. ii) CIEM is a simple method to eliminate irregular frequencies because any existing computer program based on the approach of Green's integral equation can be modified easily by adding simple extra integral relations.
社団法人日本船舶海洋工学会の論文
1983-08-24

水面と直交しない浮体の動揺問題の解法とIrregular Frequencyの簡易な除去法

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