Dynamic Response of Functionally Graded Piezoelectric Plates Under Electro-Mechanical Loading Considering Piezoelectric Layers

This paper investigates the dynamic response of functionally graded piezoelectric plates using the finite element method based on first-order shear deformation theory. The plates are composed of materials with properties that vary across their thickness, following a simple power-law relationship with the volume fraction of the constituents. Different boundary conditions and configurations, such as FG plates with piezoelectric layers and FGP plates with piezoelectric layers, are considered to analyze the dynamic behavior of functionally graded piezoelectric material (FGPM) plates under mechanical and electrical loadings. Comparisons with previous studies validate the accuracy of the obtained results. Furthermore, the effects of various parameters, such as the power-law index, maximum displacement from static analysis, maximum displacement in the first vibration mode, and others, on the dynamic response of FGM and FGPM plates with piezoelectric layers are investigated. The results demonstrate the influence of different power-law exponents and piezoelectric layers on plate behavior. The findings show that the maximum static and dynamic deflections of the plate vary with the power-law index, but their ratio remains constant for all values of “n”. Additionally, the effect of electrical loading on the dynamic response of FGP plates is examined. The study reveals that the maximum dynamic displacement of the plates increases with the power-law constant under electrical loading. Overall, this study provides valuable insights into the dynamic response of functionally graded piezoelectric plates, contributing to the understanding and design of such structures in various engineering applications subjected to dynamic loading.