This research develops an analytical approach to explore the wave propagation problem of piezoelectric sandwich nanoplates. The core of the sandwich nanoplates is a nanocomposite layer reinforced with graphene platelets, which is integrated by two piezoelectric layers exposed to electric field. The material properties of nanocomposite layer are obtained by the Halpin–Tsai model and the rule of mixtures. The Euler–Lagrange equations of nanoplates are derived from Hamilton’s principle. By using the nonlocal strain gradient theory, the nonlocal governing equations are presented. Finally, numerical studies are conducted to demonstrate the influences of propagation angle, small-scale and external loads on wave frequency. The results reveal that the frequency changes periodically with the propagation angle and can be reduced by increasing voltage, temperature and the thickness of graphene platelets.

这项研究开发了一种分析方法，以探索压电夹层纳米板的波传播问题。夹层纳米板的核心是用石墨烯片增强的纳米复合材料层，该层由暴露在电场中的两个压电层整合而成。纳米复合材料层的材料性质是通过Halpin-Tsai模型和混合规则获得的。纳米板的欧拉-拉格朗日方程是从汉密尔顿原理导出的。利用非局部应变梯度理论，提出了非局部控制方程。最后，进行了数值研究，以证明传播角度，小规模和外部载荷对波频率的影响。结果表明，频率随传播角周期性变化，可以通过增加电压来降低，