In the present study, free vibration of sandwich flexoelectric plates resting on Pasternak foundation is investigated. The top and bottom layers are under applied voltage based on flexoelectricity considerations and core is a nanocomposite plate where reinforced by carbon nanotubes. Based on first-order shear deformation theory, flexoelectricity considerations and Hamilton’s principle, the governing equations are derived for the first time. Navier’s method is used to solve the governing equations analytically in the case of simply supported sandwich plate. Finally, the effects of different parameters are discussed in details. It is found when thickness of flexoelectric face sheets increase, the frequency of nano-sandwich plate decrease. The results of this study can be useful in design and manufacturing of flexoelectric systems as sensor and actuator.

在本研究中，研究了搁置在Pasternak地基上的夹层柔性电板的自由振动。基于挠性电的考虑，顶层和底层处于施加电压下，核心是纳米复合板，其中碳纳米管对其进行了增强。基于一阶剪切变形理论，挠性电学和汉密尔顿原理，首次推导了控制方程。在简单支撑夹心板的情况下，使用Navier方法解析控制方程。最后，详细讨论了不同参数的影响。发现当柔性电面板的厚度增加时，纳米夹心板的频率降低。