Enhancing the efficiency and energy capacity of the tri-directional FG nanoplate attached to the piezoelectric patch validated by artificial intelligence

Abstract

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.