两个垂直圆柱在水波中的水动力相互作用  

Hydrodynamic Interaction between Two Vertical Cylinders in Water Waves

作　　者：周显初[1] 王冬娇[2] 章梓雄[2] 

机构地区：[1]中国科学院力学研究所 [2]香港大学机械工程系

出　　处：《应用数学和力学》1997年第10期867-878,共12页Applied Mathematics and Mechanics

基　　金：中国科学院资助;香港大学资助;会议批准委员会资助

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．The hydrodynamic nit eraction between two vertical cylinders in water waves is investigated based on the linearized potential flow theory. One of the two cylinders is fixed at the bottom while the other ic articulated at the bottom and oscillates with small amplitudes in the direction of the incident wave.Both the diffracted wavve and the redirttion wave are studied in the present paper. A simple t.nnlytictl expression for the velocity potential on the surface of each cyrlinder is obtained by means of Gruff's .addition theorem. The waveexcited forces and moments on the cylinders, the added masses and the radiation damping coefficients of the oscillat lug cylinder are all expressed explicitly in series form. The coeffic lents of the series are determined by solving algebraic equations. Several numerical examples are given to illustrate the effects of vari ous 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 the oscillating cylinder.

关 键 词：波浪激励力 水波 水动力相互作用 绕射 圆柱 

分 类 号：O352.2[理学—流体力学]