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내부가 빈 원기둥의 수직운동 특성

Characteristics of Heaving Motion of Hollow Circular Cylinder

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주제분류해양공학

초록

In the present investigation, the hydrodynamic characteristics of a vertically floating hollow cylinder in regular waves have beenstudied. The potential theory for solving the diffraction and radiation problem was employed by assuming that the heave response motion waslinear. By using the matched eigenfunction expansion method, the characteristics of the exciting forces, hydrodynamic coefficients, and heave motionresponses were investigated with various system parameters such as the radius and draft of a hollow cylinder. In the present analytical model, tworesonances are identified: the system resonance of a hollow cylinder and the piston‐mode resonance in the confined inner fluid region. The pistonresonance mode is especially important in the motion response of a hollow circular cylinder. In many cases, the heave response at the pistonresonance mode is large, and its resonant frequency can be predicted using the empirical formula of Fukuda (1977). The present design tool can beapplied to analyze the motion response of a spar offshore structure with a moon pool.

Abstract

In the present investigation, the hydrodynamic characteristics of a vertically floating hollow cylinder in regular waves have beenstudied. The potential theory for solving the diffraction and radiation problem was employed by assuming that the heave response motion waslinear. By using the matched eigenfunction expansion method, the characteristics of the exciting forces, hydrodynamic coefficients, and heave motionresponses were investigated with various system parameters such as the radius and draft of a hollow cylinder. In the present analytical model, tworesonances are identified: the system resonance of a hollow cylinder and the piston‐mode resonance in the confined inner fluid region. The pistonresonance mode is especially important in the motion response of a hollow circular cylinder. In many cases, the heave response at the pistonresonance mode is large, and its resonant frequency can be predicted using the empirical formula of Fukuda (1977). The present design tool can beapplied to analyze the motion response of a spar offshore structure with a moon pool.

참고문헌 (12)

  1. Chau, F. P., "Inertia and Damping of Heaving Compound Cylinders", Proceedings, 25th international workshop on water waves and floating bodies, Harbin (2010)
  2. 조일형, "원통형 진동수주 파력발전장치에 의한 파 에너지 흡수", 한국해안·해양공학회논문집, 14(1), pp.8~18 (2002), 한국해안,해양공학회
  3. 조일형, "경사 입사파중 계류된 부유식 방파제의 운동응답과 투과율 해석", 한국해양공학회지, 23(3), pp.6~13 (2009), 한국해양공학회
  4. Faltinsen, O. M., "Two-Dimensional, Resonant Piston-like Sloshing in a Moonpool. J", Fluid Mech, 575, pp.359~397 (2007)
  5. Fukuda, K., "Behavior of Water in Vertical Well with Bottom Opening of Ship and its Effects on Ship-Motion", . J. SNAJ, 141, pp.107~122 (1977)
  6. Kristiansen, T., "Application of a Vortex Tracking Method to the Piston-like Behavior in a Semientrained Vertical Gap", Applied Ocean Research, 30, pp.1~16 (2008)
  7. Hong, S. Y., "Numerical and Experimental Study on Hydrodynamic Interaction of Side-by-side Moored Multiple Vessels", Ocean Engineering, 32, pp.783~801 (2005)
  8. 구원철, "수치 파동 수조를 이용한 부유체의 문풀 (Moon Pool) 유동해석", 대한조선학회 논문집, 48(2), pp.107~112 (2011), 대한조선학회
  9. Mavrakos, S. A., "Wave Loads on a Stationary Floating Bottomless Cylindrical Body with Finite Wall Thickness", Applied Ocean Research, 7(4), pp.213~224 (1985)
  10. Mavrakos, S. A., "Hydrodynamic Coefficients for a Thickwalled Bottomless Cylindrical Body Floating in Water of Finite Depth", Ocean Engineering, 15, pp.213~219 (1988)
  11. Molin, B., "On the Piston and Sloshing Modes in Moon pools", Journal of Fluid Mechanics, 430, pp.27~50 (2001)
  12. Sioris, J. A., "Response of a Floating Annulus to Water Waves", Marine Structures, 12, pp.41~66 (1999)

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