Analytical solutions for nonlinear magneto-electro-elastic vibration of smart sandwich plate with carbon nanotube reinforced nanocomposite core in hygrothermal environment

Dat, ND and Quan, TQ and Mahesh, V and Duc, ND (2020) Analytical solutions for nonlinear magneto-electro-elastic vibration of smart sandwich plate with carbon nanotube reinforced nanocomposite core in hygrothermal environment. In: International Journal of Mechanical Sciences, 186 .

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Abstract

This paper presents an analytical approach on the nonlinear magneto-electro-elastic vibration of smart sandwich plate. The sandwich plate consists of a carbon nanotube reinforced nanocomposite (CNTRC) core integrated with two magneto-electro-elastic face sheets. For core layer, three types of carbon nanotube (CNT) distribution such as FG-O, FG-V, FG-X are considered while the volume fraction of BaTiO3 � CoFe2O4 in each face sheet is chosen to be 0.5. It is assumed that the smart sandwich plate is rested on Pasternak-type elastic foundations and subjected to the combination of external pressure, thermal, electric and magnetic loads. The coupled constitutive relations are derived based on the Hamilton's principle in which the kinematic nonlinearity is defined using Reddy's higher order shear deformation theory. The analytical solutions which satisfy the boundary conditions are assumed to have the trigonometric form. The Galerkin method is used to obtain the closed form expressions of natural frequency, the relation between the frequency ratio and dimensionless amplitude and the dynamic response of the sandwich plate. The numerical results are conducted to illustrate the effect of geometrical parameters, CNT volume fraction, temperature and moisture increment, electric and magnetic potentials on the nonlinear vibration of smart sandwich plate. The reliability of present results is evaluated by comparing with the previous results based on different approach. © 2020 Elsevier Ltd

Item Type:	Journal Article
Publication:	International Journal of Mechanical Sciences
Publisher:	Elsevier Ltd
Additional Information:	Copy right for this article belongs to Elsevier Ltd
Keywords:	Barium titanate; Cobalt compounds; Elasticity; Galerkin methods; Geometry; Iron compounds; Nanocomposites; Reinforcement; Shear deformation; Vibration analysis; Volume fraction, Closed-form expression; Constitutive relations; Dimensionless amplitude; Higher order shear deformation theory; Hygrothermal environment; Kinematic nonlinearity; Magneto electro elastic; Reinforced nanocomposite, Carbon nanotubes
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	14 Dec 2020 11:17
Last Modified:	14 Dec 2020 11:17
URI:	http://eprints.iisc.ac.in/id/eprint/65954

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