Vibration of smart sandwich plate with an auxetic core and dual-FG nanocomposite layers integrated with piezoceramic actuators

Abstract

In the current research, a thorough investigation of the free vibrational characteristics of a novel smart sandwich plate has been performed utilizing two different analytical and numerical solution techniques. The proposed structure is a sandwich plate with an auxetic core and super stiff dual-FG nanocomposite layers integrated with piezoceramic actuators. The nanocomposite layers of the structure are made of FG metal-ceramic matrix to which carbon nanotubes (CNTs) are added through various FG distribution patterns. Besides, two thin piezoceramic actuators are attached to the nanocomposite layers, which causes the structure to be controllable by applying an electrical voltage. Using such super stiff dual-FG nanocomposite layers together with piezoceramic actuators and ultra-light auxetic core with negative Poisson’s ratio results in the light and smart sandwich plate with high structural stiffness, which its natural frequency responses will be analyzed in this study. For this purpose, the governing equations are derived according to the first-order shear deformation theory (FSDT) and then solved using two different strategies, including numerical and analytical solution methods. The responses obtained by these solution methods by the name of generalized differential quadrature (GDQ) and Navier are compared and verified with each other and other reputed references in the literature. Accordingly, detailed parametric studies in the framework of tabulated and graphical results are performed to reveal the impacts of all involved parameters on the natural frequency responses of the proposed smart sandwich plate.