Enhancing the efficiency and energy capacity in composite nanoelectromechanical systems (NEMS) holds significant importance in the engineering industry due to its critical role in enhancing the performance, reliability, and safety of aerospace structures and systems. One key area of application is in the development of advanced sensors and actuators. Regarding this issue, in the current work, enhancing the efficiency and energy capacity in the sandwich nanoplate with a tri-directional functionally graded layer and a piezoelectric patch layer is presented. For capturing the size effects, nonlocal strain-stress gradient theory with two size-dependent factors has been presented. The transverse shear deformation factor has an important role in the prediction of the mechanical performance of various structures. So, in the current work, a new four-variable refined quasi-3D logarithmic shear deformation theory has been investigated. Also, for coupling the piezoelectric patch and composite structure, compatibility conditions have been presented. Hamilton's principle with three factors has been presented for obtaining the coupled governing equations of the NEMS. For solving the current electrical system's partial differential equations, an analytical solution procedure has been presented. Also, to have a better understanding of the current electrical system's fundamental frequency, COMSOL tri-physics simulation has been presented. For verification of the results, one of the tools of artificial intelligence via the datasets of the mathematics and COMSOL multi-physics simulations is presented to verify the results for other input data with low computational cost. Finally, the effects of various factors such as the geometry of the piezoelectric patch, FG power index, length scale factor, nonlocal parameter, and location of the piezoelectric patch on the phase velocity have been discussed in detail. One of the important outcomes of the current work is that designers for modeling the NEMS should pay attention to the applied voltage, location, and geometry of the piezoelectric patch.

中文翻译：

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提高通过人工智能验证的连接到压电贴片的三向 FG 纳米板的效率和能量容量


提高复合纳米机电系统 （NEMS） 的效率和能量容量在工程行业中具有重要意义，因为它在增强航空航天结构和系统的性能、可靠性和安全性方面发挥着关键作用。一个关键的应用领域是开发先进的传感器和执行器。针对这个问题，在目前的工作中，提出了通过三向功能梯度层和压电贴片层提高三明治纳米板的效率和能量容量的方法。为了捕获尺寸效应，已经提出了具有两个尺寸相关因子的非局部应变-应力梯度理论。横向剪切变形因子在预测各种结构的力学性能中具有重要作用。因此，在目前的工作中，研究了一种新的四变量精炼准三维对数剪切变形理论。此外，对于压电贴片和复合结构的耦合，已经提出了兼容性条件。已经提出了具有三个因子的汉密尔顿原理，用于获得 NEMS 的耦合控制方程。为了求解当前电气系统的偏微分方程，提出了一种解析求解程序。此外，为了更好地理解当前电气系统的基频，还介绍了 COMSOL 三物理场仿真。为了验证结果，提出了一种人工智能工具，通过数学和 COMSOL 多物理场模拟的数据集来验证其他输入数据的结果，计算成本低。 最后，详细讨论了压电贴片的几何形状、FG 功率指数、长度比例因子、非局部参数和压电贴片位置等各种因素对相速度的影响。当前工作的重要成果之一是，用于模拟 NEMS 的设计者应该注意施加的电压、位置和压电贴片的几何形状。