椭圆余弦波对外圆弧透空薄壁双圆筒柱的绕射  

Cnoidal wave diffraction from a concentric cylindrical structure with arc-shaped porous outer thin walls

作　　者：黄坤辉 黄华[1] 詹杰民[1] 才瀚涛 HUANG Kunhui;HUANG Hua;ZHAN Jiemin;CAI Hantao(Department of Applied Mechanics and Engineering,College of Aeronautics and Astronautics,Sun Yat sen University,Guangzhou 510275,China)

机构地区：[1]中山大学航天航空学院应用力学与工程系,广东广州510275

出　　处：《中山大学学报（自然科学版）（中英文）》2022年第3期123-131,共9页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金重点项目(41407010501);中央高校基本科研业务费专项基金(17lgjc41)。

摘　　要：依据椭圆余弦波一阶绕射理论,推导了浅水波对不同圆心角双层外圆弧透空薄壁内接圆柱绕射的波场解析解。通过对该结构的最大波浪力与最大波面实算,揭示了椭圆余弦波绕射的作用规律。结果表明:外层圆弧透空薄壁将大幅度减弱浅水波对内接圆柱的作用。波浪与海况条件、双外层薄壁和内圆柱的各类几何条件以及结构的透空系数等因素对椭圆余弦波作用均存在一定的影响。在一定浅水条件下,采用浅水波理论计算的最大波浪作用大于Airy微幅波理论对应结果;结构的实际最大波浪力将随着浅水波特征参数的增大而增大。Based on first order cnoidal wave diffraction theory,the wave field analytical solutions to shallow water wave diffraction by a inscribed circular cylinder with double-layered arc-shaped porous thin walls with different central angles are derived.By calculating the maximum wave forces on the structure and maximum diffracted wave surfaces,the cnoidal wave diffraction law has been revealed.The results demonstrate that the double arc-shaped outer thin wall can greatly reduce wave effects on in‐scribed circular cylinder and the variation of wave and sea water condition.Various geometry condi‐tions of double outer thin wall and cylinder,the porous coefficients of structure may have some influ‐ence on cnoidal wave effects.In certain shallow water conditions,the maximum wave effects from cnoi‐dal wave theory are larger than those predicted by small amplitude wave theory.Practical maximum wave forcesonstructurewill increase as the shallowwaterwave characteristic parameter value increases.

关 键 词：椭圆余弦波 特征函数展开法 绕射 波面 波浪力 

分 类 号：TV139.2[水利工程—水力学及河流动力学]