Isogeometric vibration of the magneto-electro-elastic sandwich plate with functionally graded carbon nanotube reinforced composite core

Abstract

This paper investigates the free vibration analysis of the magneto-electro-elastic (MEE) sandwich plates with functionally graded carbon nanotube reinforced composite (FG-CNTRC) core using isogeometric approach (IGA). The sandwich plate is composed of the homogeneous MEE face sheets and FG-CNTRC core with four types of carbon nanotubes (CNTs) distribution, including CNT-UD, CNT-O, CNT-V and CNT-X. The external electric voltage and magnetic potential are applied in the top and bottom layers of the MEE sandwich plate. Employing the refined plate theory (RPT) and Hamilton principle, the governing equation for free vibration of the MEE sandwich plate is derived. The IGA employs Non-Uniform Rational B-Splines (NURBS) basic functions to approximate the displacement fields and the magnetic and electric potentials in the RPT model. The study examines and discusses the impact of different factors on the frequency of the MEE sandwich plate, including parameters like CNTs distributions, CNTs volume fraction, external electric voltage and magnetic potential, and the geometrical parameter of the plate. This research has revealed several important discoveries regarding the fabrication of MEE sandwich structures.