椭圆余弦波对圆弧型固立防波堤的绕射波浪力

摘要

基于椭圆余弦波绕射理论,应用特征函数展开法,推导浅水波对圆弧型固立防波堤绕射的波势解,据此计算作用于防波堤的水平波浪载荷.结果表明:浅水波入射角与非线性影响参数、海况条件以及防波堤几何条件等因素的相对变化对波浪作用均存在一定的影响.与微幅波理论对比可知:在一定浅水条件下采用椭圆余弦波一阶分量模型所计算的最大无量纲波浪力均明显高于微幅波理论的对应估值,反映了水波非线性因素的影响效应.%Based on cnoidal wave diffraction theory,the wave potential solutions to shallow water wave diffraction by arc-shaped bottom-mounted breakwater are derived by applying the eigenfunction expansion approach,and accordingly the horizontal wave loads on breakwater are analytically calculated.The evaluating results demonstrate that the variation of incident wave angle,nonlinear influence parameter of wave,ocean condition,and breakwater structure geometry condition may have some influence on shallow water wave effects on breakwater.Compared with small amplitude wave theory,the results of maximum dimensionless wave forces from first order cnoidal wave theory are obviously larger than those predicted by small amplitude wave theory in certain shallow water condition and reflects wave nonlinear effects.