半没水双胴船の操縦流体力に関する一計算

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This report presents a method to calculate theoretically hydrodynamic forces acting on a Semi-Submerged Catamaran (SSC) in maneuvering motion. The computed results are compared wih the experimental results, and the validity of the method proposed here is examined. There are extensive investigations made by Prof. S. Inoue for the estimation of hydrodynamic forces acting on a conventional monohull vessel in maneuvering motion. Referring to those investigations, an attempt to obtain hydrodynamic forces on a SSC in maneuvering motion by theoretical calculation is made. Assuming, at first, that the effect of the lower hull part to hydrodynamic forces in maneuvering motion would be negligible, a wing model corresponding to the strut part is considered. The wing model for a twin strut type SSC is shown in Figs. 2 and 3. Then applying the wing theory of small aspect ratio developed by W. Bollay, the basic integral equations are shown in Eq. (9) for a twin strut type SSC, and in Eq. (12) for a single strut type SSC respectively, where γ_<ij>(ξ') are unknown strength of vortices. By making use of the method proposed by T. Hanaoka and K. Sugai, the integral equations (9) and (12) can be reduced to the algebraic equations (16) and (17) respectively. Solving Eqs. (16) or (17), then the strength of vortices can be obtained numerically. Finally the force and moment can be calculated by Eqs. (23) and (24) for a twin strut type SSC, and by Eqs. (25) and (26) for a single strut type SSC. For the wing models of rectangular plate shown in Figs. 4(a) and 5(a), both the computed and the experimental results, obtained with rectangular plate models, are shown in Figs. 4(b)-4(d) and 5(b)-5(d) respectively. It can be seen from those figures that the computed results give good agreement with the experimental results. Then for the SSC models shown in Figs. 6(a), 7(a) and 8(a), the computed results are shown with the experimental results, obtained with SSC models, in Figs. 6(b)-6(e), 7(b)-7(e) and 8(b)-8(e) respectively. It can be seen from those figures that both results are in a good agreement except for the yawing moment vs. the drift angle. The results for the yawing moment vs. drift angle are unsatisfactory, and this may be due to the fact that the lower hull part is not taken into consideration in the wing model. It may be concluded from the matters mentioned above that the method proposed in this report would be useful for the estimation of hydrodynamic forces on a SSC in maneuvering motion.
1978-08-15

半没水双胴船の操縦流体力に関する一計算

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