多层水平板衰减波浪的影响因素分析

摘要

基于线性波浪理论,进行多层水平板对波浪的反射和透射作用研究.通过分解速度势为对称势和反对称势,结合特征函数展开法,在考虑水平板厚度的条件下由匹配条件确定速度势展开式中的待定系数,进而得到结构对波浪的反射系数和透射系数.所得结果与现有相关的理论解、数值解以及试验结果吻合较好.对相对水深、相对宽度、相对厚度以及水平板层数等对结构衰减波浪的影响进行了深入探讨和分析,给出了反射系数和透射系数随上述参数的变化规律.%Based on the linear wave theory, the reflection and transmiasion of waves by multiple horizontal plates were investigated. By splitting the velocity potential into the symmetric and antisymmetric parts and based on the expansion method for characteristic functions, the matching conditions were employed to determine underdetermined coefficients in the expansion formula for velocity potential by considering the thickness of the horizontal plates. Thus, the reflection and transmission coefficients of the structures for waves were obtained. The present solutions agreed with the existing theoretical, numerical and experimental results.The effects of parameters such as the relative water depth, relative plate width, relative plate thickness and number of plates on wave dissipations were discussed, and the variation rules of the reflection and transmission coefficients with the above-mentioned parameters were also presented.