3次元物体の附加質量に及ぼす浅水影響 : K=0とK=∞の場合 : その2,一般船型への適用

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In the previous paper, a method of calculation of the shallow water effects on an added mass or moment of inertia of a floating three dimensional body was presented for the cases of the frequency parameter K(=ω^2/g)=0 and K=∞. By means of the numerical comparison with the correct solution, it was shown that when the problem concerned was solved by the usual integral equation method, the Green function represented by a finite integral, which had been derived by the several authors independently, could not be applied. In this paper it is proved that the erroneous representation of the Green function was derived as a result of the disregard for the theorem that the termwise integration is possible when the infinite series in uniformly convergent. A simple method for easy estimation of the shallow water effects of an actual hull form was also proposed in the previous paper. Owing to the method, the coefficients of the shallow water effects of a ship are basically equal to ones of the ellipsoid with the same value of L/B and B/d as the ship, whereas the effective water depth is modified by Cb of the ship. In this paper the validity of the method is discussed by the comparison with the numerical results of a tanker obtained by the author's method using the integral equation. The charts and tables for the ellipsoids with various axis ratio, which is used to estimate the shallow water effects of a ship for all six modes of motion except for heave for K=0, are extended to cover the wide range of L/B and B/d and revised by improvement of numerical technique. An interpolation formula to estimate the shallow water effects of the ellipsoid with arbitrary axis ratio is also presented.
独立行政法人海上技術安全研究所の論文
1985-03-30

3次元物体の附加質量に及ぼす浅水影響 : K=0とK=∞の場合 : その2,一般船型への適用

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