直墙前矩形月池水波振荡研究分析  

The oscillation of water waves in a rectangular structure with a moon pool in front of a vertical wall

作　　者：郑碧芳[1] 张洪生[1] 杨小岩[1,2] ZHENG Bifang ZHANG Hongsheng YANG Xiaoyan(College of Ocean Science and Engineering, Shanghai Maritime University, Shanghai 201306, China School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China)

机构地区：[1]上海海事大学海洋科学与工程学院,上海201306 [2]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《海洋工程》2016年第5期40-50,64,共12页The Ocean Engineering

基　　金：国家自然科学基金资助项目(51079082);上海市自然科学基金资助项目(14ZR1419600);上海市教委一流学科建设项目;2013年上海市研究生教育创新计划实施项目(第二批)

摘　　要：月池内流体存在活塞和晃荡两类振荡现象。基于线性势流理论,推导了波浪斜向入射下,直墙前矩形月池辐射和绕射问题的解析解。通过分离变量法和特征函数展开法求解了速度势函数,根据边界条件来确定速度势函数中的未知系数,由速度势函数计算斜向波与矩形月池相互作用的水动力系数和波浪激励力,对它们的变化规律进行了分析讨论,研究了底部开口大小、波浪入射角度对矩形月池水动力特性的影响以及直墙远近对波浪力的影响。结果表明,月池底部开口大小对流体水平作用的影响较小,而对流体垂直作用的影响较大;波浪入射角度的变化对矩形月池横荡和横摇运动时的水动力特性有一定的影响;在一定条件下,直墙的存在会使得月池在水平方向所受到的波浪力比开敞水域中的要大。Two types of oscillation piston and sloshing,always exist in the fluid of moon pool. In the ocean,the wave is often obliquely incident. Based on the linear potential theory,an analytical solution is presented for the radiation and diffraction of a rectangular structure with a moon pool in front of a vertical wall in oblique seas. The expressions for the potentials are obtained by the method of separation of variables and the eigenfunction expansion,and the unknown coefficients are determined by the boundary conditions. The hydrodynamic coefficients and wave excitation forces are investigated,and the effects of the width of opening,the angle of incidence and the distance between the vertical wall and the structure on the hydrodynamic characteristics of the rectangular structure with a moon pool are studied mainly. The analytical solution indicates that the opening has little effect on the horizontal force but a large effect on the vertical force. And the angle of incidence has some impacts on the sway and roll motion of the floating body. The horizontal force on the structure in the presence of a wall is larger than those in the absence of the vertical wall due to the reflection of the vertical wall.

关 键 词：矩形月池 直墙 辐射 绕射 解析解 水动力特性 

分 类 号：P731.2[天文地球—海洋科学] O353.2[理学—流体力学]