Flexural Waves in Inhomogeneous Periodic Structures and Localized Vibration Modes

我们的项目旨在开发弯曲波和周期性缺陷系统（如弹性板中的空隙和夹杂物）之间相互作用的方法并探索其应用。重点是弯曲声子带隙系统，其目标是在板中为弯曲模式创建带隙，并使用它们来控制弯曲波的传播。控制方程涉及双调和算子。我们将研究由于阵列和堆叠光栅中的谐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.