论文标题

软电介质语音晶体板中弯曲波的电压控制拓扑界面状态

Voltage-controlled topological interface states for bending waves in soft dielectric phononic crystal plates

论文作者

Chen, Yingjie, Wu, Bin, Destrade, Michel, Chen, Weiqiu

论文摘要

被动拓扑晶体的工作频率范围通常是固定且狭窄的,从而限制了其实际应用。为了克服这一难度,我们在这里设计和研究具有机械和电力载荷的一维软电介质晶体晶体(PC)板系统,具有主动调谐拓扑界面状态。我们使用非线性电弹性理论和线性化的增量理论来得出管理方程。首先,我们确定轴向力和电压结合的软介电PC板的非线性静态响应。然后,我们研究叠加的增量弯曲波的运动。通过采用光谱元素方法,我们获得了无限PC板的分散关系以及有限的PC板波导的传输系数。数值结果表明,低频拓扑界面状态存在于有限的语音板波导的界面,具有两个拓扑上不同的元素。通过简单地调节轴向力或电压,可以实现拓扑界面状态频率的增加或减小。此外,将电压分别应用于PC板波导的不同元素上是一种灵活而智能的方法,可在宽范围内调整拓扑界面状态。这些结果为设计具有低频可调拓扑接口状态的软智能波设备提供了指导。

The operating frequency range of passive topological phononic crystals is generally fixed and narrow, limiting their practical applications. To overcome this difficulty, here we design and investigate a one-dimensional soft dielectric phononic crystal (PC) plate system with actively tunable topological interface states via the mechanical and electric loads. We use nonlinear electroelasticity theory and linearized incremental theory to derive the governing equations. First we determine the nonlinear static response of the soft dielectric PC plate subjected to a combination of axial force and electric voltage. Then we study the motion of superimposed incremental bending waves. By adopting the Spectral Element Method, we obtain the dispersion relation for the infinite PC plate and the transmission coefficient for the finite PC plate waveguide. Numerical results show that the low-frequency topological interface state exists at the interface of the finite phononic plate waveguide with two topologically different elements. By simply adjusting the axial force or the electric voltage, an increase or decrease in the frequency of the topological interface state can be realized. Furthermore, applying the electric voltage separately on different elements of the PC plate waveguide is a flexible and smart method to tune the topological interface state in a wide range. These results provide guidance for designing soft smart wave devices with low-frequency tunable topological interface states.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源