Abstract

By introducing nonlocal elastic theory and Kirchhoff plate theory to plane wave expansion (PWE) method, the band structure of a nonlocal piezoelectric phononic crystal (PC) nanoplate is calculated. A complete band gap with magnitude order gigahertz (GHz) is opened. In order to investigate the characteristics of such a band gap in detail, the corresponding influence rules of thermo-electro-mechanical coupling fields, nonlocal effects and geometric parameters on band gaps are studied. During the researches, temperature variation, electrical voltage and external axial force are picked as the influencing parameters corresponding to thermo-electro-mechanical coupling fields. Nonlocal coefficient is chosen as the influencing parameter related to surface effects. Lattice constant, PZT-4 hole radius and nanoplate thickness are picked as the influencing parameters of geometric parameters. All the results are expected to be of help for nano electro mechanical system (NEMS) based on piezoelectric periodic nanoplates.

摘要

通过将非局部弹性理论和基尔霍夫板理论引入平面波扩展（PWE）方法，计算了非局部压电声子晶体（PC）纳米板的能带结构。打开了一个具有量级千兆赫（GHz）的完整带隙。为了详细研究这种带隙的特性，研究了热机电耦合场，非局部效应和几何参数对带隙的影响规律。在研究过程中，将温度变化，电压和外轴向力作为与热电机械耦合场相对应的影响参数。选择非局部系数作为与表面效应有关的影响参数。晶格常数 选择PZT-4孔半径和纳米板厚度作为几何参数的影响参数。预期所有结果将对基于压电周期性纳米板的纳米机电系统（NEMS）有所帮助。