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

Shooshtari, Alireza; Razavi, Soheil

doi:10.1590/1679-78251831

Cited by 47 publications

(9 citation statements)

References 43 publications

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“…39 Considering this, Moita et al 40 attempted to evaluate the frequencies of three-layered MEE rectangular plates through higher-order FE formulation. A similar analysis was performed by Lage et al 41 The effect of elastic foundation on the variation of the coupled dynamic response of MEE plates was studied by Shooshtari and Razavi 42 via analytical solutions. Through HSDT and making use of the FE platform, several studies related to the influence of material properties and geometric variations on the coupled frequency response of MEE plates were conducted by Vinyas et al 43–45 Also, few attempts have been made to examine the influence of electromagnetic (EM) boundary conditions on the coupled responses of FG porous MEE 46 and CNT-based MEE shells.…”

Section: Introductionmentioning

confidence: 85%

Effect of carbon nanotube-reinforced magneto-electro-elastic facings on the pyrocoupled nonlinear deflection of viscoelastic sandwich skew plates in thermal environment

Mahesh

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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This work presents a finite-element-based numerical formulation to evaluate the nonlinear deflections of magneto-electro-elastic sandwich skew plates with a viscoelastic core and functionally graded carbon nanotube-reinforced magneto-electro-elastic face sheets. Meanwhile, the proposed formulation accommodates the geometrical skewness as well. The magneto-electro-elastic sandwich skew plate is operated in the thermal environment and subjected to various multiphysics loads, including electric and magnetic loads. The viscoelastic core is modelled via the complex modulus approach. Two different forms of viscoelastic cores, such as Dyad 606 and EC 2216, are considered in this study. Also, different thickness configurations of core and facing arrangements are taken into account. The plate kinematics is presumed through higher-order shear deformation theory, and von Karman's nonlinear strain displacement relations are incorporated. The global equations of motion are arrived at through the total potential energy principle and solved via the direct iterative method. Special attention is paid to assessing the influence of pyroeffects, coupling fields and electromagnetic boundary conditions on the nonlinear deflections of magneto-electro-elastic sandwich plates working in the thermal environment and subjected to electromagnetic loads, which is the first of its kind. Also, parametric studies dealing with the skew angles, carbon nanotube distributions and volume fractions, thickness ratio, and aspect ratio have been discussed. The results of this work are believed to be unique and serve as a guide for the design engineers towards developing sophisticated smart structures for various engineering applications.

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Section: Introductionmentioning

confidence: 85%

Effect of carbon nanotube-reinforced magneto-electro-elastic facings on the pyrocoupled nonlinear deflection of viscoelastic sandwich skew plates in thermal environment

Mahesh

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…A number of publications are devoted to the development of various model bodies (for instance, beams [7], rods [8,19], plates [9][10][11][12], and shells [13][14][15][16]) that take into account effects of electromagnetoelastic coupling. Zhang et al [7] developed a model of transversely isotropic electromagnetoelastic Timoshenko beams by using a variational formulation based on Hamilton's principle, an extended modified theory of couple stresses, and a two-parameter model of elastic foundation.…”

Section: Introductionmentioning

confidence: 99%

Non‐stationary bending of a finite electromagnetoelastic rod

2021

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The related problem of non-stationary bending of a finite electromagnetoelastic rod is considered. It is assumed that the material of the rod is a homogeneous isotropic conductor. The problem statement takes into account the initial electromagnetic field, the Lorentz force, Maxwell's equations and the generalized Ohm's law. The unknown functions are assumed to be bounded, and the initial conditions are assumed to be zero. It has noted that it is difficult to construct a solution analytically for a general model. Therefore, a transition is made to simplified equations corresponding to the Bernoulli-Euler rod and the electromagnetic field is considered quasi-stationary. For a rod with hinged ends, trigonometric series expansions and the Laplace transform in time are used. The solution of the problem is constructed in integral form with kernels in the form of influence functions. Images of kernels are found in the space of transformations and Fourier in the spatial coordinate. Their original functions are found explicitly.The present study presents examples of calculations for a concentrated load.

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“…It was concluded that the electric and magnetic potentials have opposite effect on the natural frequencies. Shooshtari and Razavi [9] studied application of Reddy's higher-order shear deformation theory to magnetoelectroelastic vibration analysis of a rectangular plate with various boundary conditions based on Galerkin method. Raissi et al [10] applied various higher-order shear deformation theory to stress analysis of a simply supported square sandwich plate subjected to uniform transverse loads.…”

Section: Introductionmentioning

confidence: 99%

Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Arefi

Cívalek

2020

Archiv.Civ.Mech.Eng

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The aim of this present work is to study the higher-order modelling of a cylindrical nano-shell resting on Pasternak's foundation based on nonlocal elasticity theory. Third-order shear deformation theory is developed for modelling the kinematic relations, and nonlocal elasticity theory is developed for size-dependent analysis. The principle of virtual work is applied to derive static governing equations. The solution is presented for simply supported boundary conditions in terms of various important parameters. The numerical results including lower-and higher-order longitudinal and radial displacements are presented in terms of nonlocal parameter, two parameters of Pasternak's foundation and some dimensionless geometric parameters such as length-to-radius ratio and length-to-thickness ratio.

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

Cited by 47 publications

References 43 publications

Effect of carbon nanotube-reinforced magneto-electro-elastic facings on the pyrocoupled nonlinear deflection of viscoelastic sandwich skew plates in thermal environment

Effect of carbon nanotube-reinforced magneto-electro-elastic facings on the pyrocoupled nonlinear deflection of viscoelastic sandwich skew plates in thermal environment

Non‐stationary bending of a finite electromagnetoelastic rod

Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

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