二维浮体的低频作用力  

Low Frequency wave Forces on Two-Dimensional Floating Bodies

作　　者：周清甫[1] 陈永泽[1] 

机构地区：[1]中山大学

出　　处：《水动力学研究与进展（A辑）》1989年第4期16-25,共10页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金

摘　　要：本文用缓慢调制的Stokes波模拟入射波群,并采用多重尺度方法研究了波群对二维浮体的低频绕射问题,得到了一阶和二阶纸频绕射势,求得了相应的低频作用力,证明了由一阶低频绕射势所产生的二阶低频力垂直于静止自由表面,它与入射波包络波幅的平方以及浮体水线面的宽度成正比,而与浮体具体形状无关,低频绕射所产生的水平力来源于二阶低频绕射势,通过求解两个线性边值问题就可以计算它。Simulating incident group wave with narrow spectrum by nonlinear slowly modulated Stokes wave train and using Multiple Scales Method, problem of the second-order low frequency diffraction of group waves on a two-dime nsional floating body has been studied. The first and second-order low frequency diffraction potentials are derived, which lead to the second-and third-order low frequency forces respectively. It is shown that the second-order low frequence force generated by first-order low frequency diffraction potentials is of vertical to undisturbed free surface, and is directly proportional to square of envelope amplitude of incident wave and to waterline width of floating body. The horizontal low frequency forces is caused by the second-order low frequency diffraction potential. To determine it only two linear boundary value problems are necessary to be solved.

关 键 词：浮体 二维 低频 作用力 波群 

分 类 号：O353.2[理学—流体力学]