Investigating forced vibration of an intelligent sandwich plate consisting of a metal foam core, stiff nanocomposite layers and active piezomagnetic face-sheets exposed to electro-magnetic potentials

Abstract

The main purpose of the present article is to present a forced vibrational analysis for a new intelligent sandwich plate made up of various layers. The proposed intelligent structure contains a porous metal foam core, super stiff double-FG nanocomposite layers, and piezomagnetic actuators which will be actuated magnetically and electrically. For the metal foam core of the structure, three kinds of porosity patterns are considered and, in the double-FG nanocomposite layers, Carbon Nanotubes (CNTS) are dispersed through various FG patterns in an FG metal-ceramic matrix. The power-law function is used to form the FG metal-ceramic matrix of the nanocomposite layers. Then, first-order shear deformation theory (FSDT) is utilized to derive the governing equations, and the resonance and natural frequencies of the proposed sandwich structure with simply-supported boundary conditions are obtained employing Navier’s analytical solution method. Finally, the effects of various parameters such as the CNTs’ volume fraction, magnetic and electric potentials, porosity patterns, core-to-nanocomposite layers thickness ratio, power-law index, etc on the resonance behavior of the structure will be discussed based on tabular and graphical results. The results demonstrate that the occurrence of the resonance phenomenon in such a multi-layered structure remarkably depends on the mentioned parameters and can be somehow controlled by applying magnetic and electric potentials to the piezomagnetic actuators connected to the top and bottom of the structure.