两个垂直圆柱在水波中的水动力相互作用<sup>*</sup>

周显初; 王冬娇; 章梓雄

两个垂直圆柱在水波中的水动力相互作用^*

1.
中国科学院力学研究所, 北京 100O80;
2.
香港大学机械工程系, 香港

基金项目: *中国科学院资助;香港大学资助;会议批准委员会资助

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出版历程
- 收稿日期: 1996-04-02
- 刊出日期: 1997-10-15

Hydrodynamic Interaction between Two Vertical Cylinders in Water Waves

1.
Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China;
2.
Department of Mechanical Engineering, Hong Kong University, Hong Kong

摘要

摘要: 基于线性势流理论研究了两个垂直圆柱在水波中的水动力相互作用．两个圆柱中的一个固定在底部,另一个铰接在底部且可以在入射波方向以小振幅振动．本文研究了绕射波和辐射波,运用加法定理得到了每个圆柱表面速度势的简单的解析表达式,用级数形式显式表示了圆柱上的波浪激励力和力矩及振动圆柱的附加质量和辐射阻尼系数．级数的系数由代数方程组的解决定．给出了一些数值例子以说明诸如间距、圆柱的相对大小、入射角等各种参数对一阶力、定常二阶力、附加质量和辐射阻尼系数以及振动圆柱的响应等的影响．
- 波浪激励力 /
- 定常二阶力 /
- 附加质量 /
- 辐射阻尼 /
- 铰接圆柱 /
- 两个垂直圆柱
Abstract: The hydrodynamic interaction between two vertical cylinders in water waves is investigated based on the linearized potential flow theory.One of the two cylinders is fixed at lhe bottom while the other is articulated at the bottom and oscillates with small amplitudes in the direction of the incident wave.Both the diffracted wave and the rediation wave are studied in the present paper.A simple analytical expression for the velocity potential on the surface of each cylinder is obtained by means of Graf's addition theorem.The wave-excited forces and moments on the cylinders,the added masses and the radiation damping coeffcients of the oscillating cylinder are all expressed explicitly in series form.The coeffcients of the series are determined by solving algebraic equations.Several numerical examples are given to illustrate the effects of various parameters,such as the separation distance,the relative size of the cylinders,and the incident angle,on the first-order and steady second-order forces,the added masses and radiation-damping coefficients as well as the response of theoscillating cylinder.
- wave-excited force /
- added masses.radiation damping /
- drift force /
- articulated cylinder /
- two vertical cylinders /

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参考文献(15)

[1]	S.Ando,Y.Okawa and I.Ueno,Feasibility Study of a Floating Offshore Airport,Rep.Ship.Res.Inst.Suppl.,4,Tokyo(1983).(in Japanese)
[2]	C.C.Mei,Numerical methods in water-wave diffraction and radiation,Ann.Rev.Fluid Mech.,10(1978),393-416.
[3]	F.Záviska,Über die beugung elektroma genetischer wellen an parallelen,unendlich Langen kreiszy lindern,Annln.Phys.,40(1913),1023-1056.
[4]	B.H.Spring and P.L.Monkmeyer,Interaction of plane waves with vertical cylinders,Proc.14th Intl.Conf.on Coastal Engineering,Chap.107(1974),1828-1845.
[5]	M.Ohkusu,Hydrodynamic forces on multiple cylinders in waves,Proc.In tl.Symp.on Dynamics of Marine Vehicles and Structures in Waves,London,Paper 12(1974),107-112.
[6]	M.J.Simon,Multiple scattering in arrays of axisymmetric wave-energy devices,Part 1.A matrix method using a plane-wave approximation,J.Fluid Mech.,120(1982),1-25.
[7]	H.Kagemoto and D.K.P.Yue,Interactions among multiple three-dimensional bodiesin water waves an exact algebraic method,J.Fluid Mech.,166(1986),189-209.
[8]	M.C.Fang and C.H.Kim,Hydrody namically coupled motions of two ships advancingin oblique waves,J.Ship Res.,30,3(1986),159-171.
[9]	C.M.Linton and D.V.Evans,The interaction of waves with arrays of vertical circularcy linders.J.Fluid Mech.,125(1990),549-569.
[10]	M.H.Kim,Interaction of waves with Nvertical cylinders,J.Waterway.Port.coastaland Ocean Eng.119,6(1993),671-689.
[11]	L.Landweber,A.T.Chwang and Z.Guo,Interaction between two bodies translating inan inviscid fluid,J.Ship Res.,35(1991),1-8.
[12]	M.Abramovitz and I.A.Stegun,Handbook of Mathematical Functions,Goverment Printing Office,Washington(1964).
[13]	R.C.McCamy and R.A.Fuchs.Wave forces on a pile:a diffraction theory,Tech.Memo.,No.69,U.S.Army Board,U.S.Army Corp.of Eng.(1954).
[14]	K.R.Drake,R.E.Taylor and T.Matsui.Drift of an articulated cylinder in regular waves,Proc.Roy.Soc.Lond.A.394(1984),363-385.
[15]	P.McIver and D.V.Evans,Approximation of wave forces on cylinder arrays,Applied Ocean Res.,6(1984),101-107.