On the Free Vibration Analysis of a CNT-Reinforced Plate Bonded to a Magnetoelectroelastic Layer

Document Type : Research Article

Authors

Mechanical Engineering Department, Bu-Ali Sina University, Hamedan, Iran

Abstract

ABSTRACT: In this study, free vibration of a two-layered smart rectangular plate composed of a singlewalled carbon nanotube-reinforced layer and a magnetoelectroelastic layer are investigated. Carbon nanotubes are distributed uniformly along the thickness of the composite layer. The temperature of the environment changes uniformly. The plate is simply-supported and subjected to electric and magnetic loadings. First-order shear deformation theory is used to determine the equations of motion of the plate, and Gauss’s laws for electrostatics and magnetostatics are used to model the magnetoelectric behavior of the plate. By defining the generalized displacements of the plate in double Fourier series form and then by using orthogonality principle of trigonometric functions, the partial differential equations of motion are transformed into a set of algebraic equations in terms of the natural frequency of the plate. Therefore, an analytical relation is obtained for the fundamental natural frequency. After validation of the proposed
model, some examples are presented to investigate the effects of several parameters on the free vibration response of this smart plate.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 50, Issue 1
May and June 2018
Pages 15-24

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