论文标题
带有柔性入口和出口的波浪腔的声学散射
Acoustic scattering from a wave-bearing cavity with flexible inlet and outlet
论文作者
论文摘要
在本文中，我们证实了\ emph {模式匹配技术}的含量，以研究连接两个不同高度柔性管道区域的桥接弹性板的散射响应。我们提出了两种不同的溶液方案，以分析弹性板结合的波导中的结构传播和流体传播辐射。第一个方案用所谓的\ emph {量身定制的 - 盖尔金方法}将模式匹配技术补充了模式匹配技术，该技术使用溶液ANSATZ具有均匀和积分的零件，分别与桥接弹性板和空腔的振动相对应。在第二个方案中，我们用\ emph {模态方法}补充模式匹配技术，其中桥接弹性板的位移投射到腔的特征型上。为了处理本征函数的非正交性，我们调用了广义的正交关系。提出的模式匹配方案的一个优点是，它们提供了一种方便的方式，可以在板的接头上合并各种边缘条件，包括夹紧，夹子连接或约束连接。波导散射问题的数值分析证明了关节上的边缘连接对散射能和传输损失具有重大影响。
In this article, we substantiate the appositeness of the \emph{mode-matching technique} to study the scattering response of bridging elastic plates connecting two flexible duct regions of different heights. We present two different solution schemes to analyze the structure-borne and fluid-borne radiations in the elastic plate-bounded waveguide. The first scheme supplements the mode-matching technique with the so-called \emph{tailored-Galerkin approach} which uses a solution ansatz with homogeneous and integral parts corresponding to the vibrations of the bridging elastic plate and the cavity, respectively. In the second scheme, we supplement the mode-matching technique with the \emph{modal approach} wherein the displacement of the bridging elastic plate is projected onto the eigenmodes of the cavity. To handle the non-orthogonality of the eigenfunctions, we invoke generalized orthogonality relations. An advantage of the proposed mode-matching schemes is that they provide a convenient way of incorporating a variety of edge conditions on the joints of the plates, including clamped, pin-joint, or restraint connections. The numerical analysis of the waveguide scattering problems substantiates that edge connections on the joints have a significant impact on the scattering energies and transmission loss.
