中山大学学报自然科学版 ›› 2016, Vol. 55 ›› Issue (4): 39-46.

• 论文 • 上一篇    下一篇

斜入射椭圆余弦波对直立防波堤的波浪渗流作用

朱梦华,黄华,詹杰民,张敖,郭霖,陈瑞志   

  1. 中山大学应用力学与工程系,广东 广州 510275
  • 收稿日期:2015-12-09 出版日期:2016-07-25 发布日期:2016-07-25

Oblique incidence cnoidal water wave-induced seepage effects on vertical breakwater

ZHU Menghua, HUANG Hua, ZHAN Jiemin, ZHANG Ao, GUO Lin, CHEN Ruizhi   

  1. Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou 510275, China
  • Received:2015-12-09 Online:2016-07-25 Published:2016-07-25

摘要:

基于椭圆余弦波的浅水波理论,结合对Biot波浪渗流固结理论的推广应用,给出了固立于可渗透海床上的直立防波堤在浅水波斜入射条件下的反射波问题的数学解,并据此通过特征函数展开法推导了浅水波引起的海床内渗流压力的解析解式,同时计算了作用于防波堤底部的浅水波波浪渗流浮托力和倾覆力矩且与水平波浪力和力矩进行了比较。计算结果表明,在一定条件下,椭圆余弦波的波浪渗流载荷与波浪的直接载荷可能具有相同量级。浅水波入射角、海水和渗流条件以及防波堤几何条件等因素的相对变化对波浪渗流载荷均存在一定的影响,其中对渗流倾覆力矩的影响更为明显。椭圆余弦波理论所给波浪渗流载荷的估值明显高于浅水条件下Airy波理论的对应估值,反映了水波非线性因素的影响效应。

关键词: 椭圆余弦波, 直立防波堤, 斜入射与反射, 可渗透海床, 波浪渗流载荷

Abstract:

Based on cnoidal wave theory and expanding Biot consolidation theory, the mathematical solutions to the problems of oblique incidence shallow water wave reflected by vertical breakwater resting on permeable elastic seabed are given, and accordingly the analytical solutions to the shallow wave-induced seepage pressure are derived by applying the eigenfunction expansion approach. Then the wave-induced uplift force and overturning moment caused by the seepage pressure on the bottom of vertical breakwater are accordingly evaluated and compared with horizontal wave force and moment. The evaluating results demonstrate that in certain condition, the wave-induced seepage loads may have same order of magnitude as the direct wave loads. The variation of incident wave angle, sea water and seepage condition, and structure geometry condition may have some influence on wave-induced seepage loads, especially on wave-induced seepage overturning moment. The cnoidal wave-induced seepage loads are obviously larger than those predicted by Airy wave theory for shallow water, it denotes that the cnoidal wave theory can reflect wave nonlinear effects.

Key words: cnoidal wave, vertical breakwater, oblique incidence and reflection, permeable seabed, wave-induced seepage loads

中图分类号: