Flexural Waves in Inhomogeneous Periodic Structures and Localized Vibration Modes

我们的项目旨在开发弯曲波与周期性缺陷系统(如弹性板中的空洞和夹杂物)之间相互作用的方法并探索其应用。重点放在弯曲声子带隙系统上，目标是为平板中的弯曲模式创造带隙，并用它们来控制弯曲波的传播。控制方程涉及双调和算子。我们将研究阵列和叠层光栅中由于共振缺陷引起的波局部化，并解决弯曲波的波导和滤波器的设计问题。

Our project aims to develop methods for and explore applications of the interaction between bending waves and periodic systems of defects (such as voids and inclusions in elastic plates). The emphasis is on flexural phononic band gap systems, where the goal is to create band gaps for flexural modes in plates, and use them to control the propagation of bending waves. The governing equations are involving the biharmonic operator. We will study wave localization due to resonant defects in arrays and in stacked gratings, and address the issue of the design of waveguides and filters for bending waves.