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Prediction of the wave induced second order vertical bending moment due to the variation of the ship side angle by using the quadratic strip theory

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초록

In this study, the second order bending moment induced by sea waves is calculated using the quadratic strip theory. The theory has the fluid forcing terms including the quadratic terms of the hydrodynamic forces and the FroudeeKrylov forces. They are applied to a ship as the external forces in order to estimate the second order ship responses by fluid forces. The sensitivity of the second order bending moment is investigated by implementing the quadratic terms by varying the ship side angle for two example ships. As a result, it was found that the second order bending moment changes significantly by the variation of the ship side angle. It implies that increased flare angles at the bow and the stern of ships being enlarged would amplify their vertical bending moments considerably due to the quadratic terms and may make them vulnerable to the fatigue.

Abstract

In this study, the second order bending moment induced by sea waves is calculated using the quadratic strip theory. The theory has the fluid forcing terms including the quadratic terms of the hydrodynamic forces and the FroudeeKrylov forces. They are applied to a ship as the external forces in order to estimate the second order ship responses by fluid forces. The sensitivity of the second order bending moment is investigated by implementing the quadratic terms by varying the ship side angle for two example ships. As a result, it was found that the second order bending moment changes significantly by the variation of the ship side angle. It implies that increased flare angles at the bow and the stern of ships being enlarged would amplify their vertical bending moments considerably due to the quadratic terms and may make them vulnerable to the fatigue.

참고문헌 (14)

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  3. Cuthill, E.H., "Description and Usage of General Bending Response Code 1 (GBRC1)", ~ (1925)
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  7. 허경욱, "Quadratic strip theory for high-order dynamic behavior of a large container ship with 3D flow effects", International Journal of Naval Architecture and Ocean Engineering, 8(2), pp.127~136 (2016), 대한조선학회
  8. Wave induced bending moments in ships e a quadratic theory;R. Inst. Nav. Archit. Supplementary Papers, "Jensen, J.J.", 151~166 (1979)
  9. Longuet-Higgins, M.S., "The effect of non-linearities on statistical dis- tributions in the theory of sea waves", J. Fluid Mech., 17(3), pp.459~480 (1963)[DOI]
  10. Porter, W.R., "Pressure Distributions, Added-mass and Damping Co- efficients for Cylinders Oscillating in a Free Surface", pp.1961
  11. Tasai, F., "On the Damping Force and Added Mass of Ships Heaving and Pitching", pp.1960
  12. Tasai, F., "Nonlinear hydrodynamic forces acting on cylinders heaving on the surface of a fluid", Kyushu Univ., 12(77), pp.1~39 (1976), Report of research institute for applied mechanics
  13. The Hydrodynamic Coefficients for Swaying, Heaving and Rolling Cylinders in a Free Surface, "Vugts, J.H.", ~, pp.Report No. 194 (1968)
  14. Xia, J., "Non-linear wave loads and ship responses by a time-domain strip theory", Mar. Struct., 11, pp.101~123 (1998)[DOI]

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