论文标题
在Wiener-HOPF与浸没弹性或毛弹性板的水波相互作用的溶液上
On the Wiener-Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate
论文作者
论文摘要
使用Wiener-HOPF技术提出了半侵入式薄弹性板的水波散射问题的解决方案。 Wiener-HOPF方程的推导与传统上用于水浪问题的衍生作用，并直接导致所需的方程式。还显示了如何使用考奇型积分来直接计算解决方案，这避免了寻找高度非平凡的分散方程的根源。我们用一些数值计算说明了该方法，重点是入射波脉冲的演变，该脉冲说明了淹没板系统中存在两个传输波。研究了孔隙率的效果，并且显示出比较长的波长脉冲更强烈地影响较短的波长脉冲。
A solution to the problem of water-wave scattering by a semi-infinite submerged thin elastic plate, which is either porous or non-porous, is presented using the Wiener-Hopf technique. The derivation of the Wiener-Hopf equation is rather different from that which is used traditionally in water-waves problems, and it leads to the required equations directly. It is also shown how the solution can be computed straightforwardly using Cauchy-type integrals, which avoids the need to find the roots of the highly non-trivial dispersion equations. We illustrate the method with some numerical computations, focusing on the evolution of an incident wave pulse which illustrates the existence of two transmitted waves in the submerged plate system. The effect of the porosity is studied, and it is shown to influence the shorter-wavelength pulse much more strongly than the longer-wavelength pulse.
