Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory

Alireza Shooshtari,Soheil Razavi

doi:10.1590/1679-78251831

Abstract

Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.

Highlights

Magnetoelectroelastic composite materials are a new class of smart materials which exhibit a coupling between mechanical, electric and magnetic fields and are capable of converting energy among these three energy forms
Hong (2007) studied the thermal vibration of magnetostrictive material embedded in laminated plate by using the generalized differential quadrature method
The same author (2010)used the generalized differential quadrature method to compute the transient response of the laminated magnetostrictive plates under thermal vibration

Summary

Introduction

Magnetoelectroelastic composite materials are a new class of smart materials which exhibit a coupling between mechanical, electric and magnetic fields and are capable of converting energy among these three energy forms. These materials have direct application in sensors and actuators, control of vibrations in structures, energy harvesting, etc. Hong (2007) studied the thermal vibration of magnetostrictive material embedded in laminated plate by using the generalized differential quadrature method. The same author (2010)used the generalized differential quadrature method to compute the transient response of the laminated magnetostrictive plates under thermal vibration

Methods

Results

Conclusion