Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations

Ebrahimi, Farzad; Jafari, Ali; Barati, Mohammad Reza

doi:10.1016/j.tws.2017.04.002

Cited by 84 publications

(17 citation statements)

References 41 publications

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“…In this study, the exact position of the neutral axis of the plate is determined and is used in the following relations. This position is determined such a way to satisfy the below equation 57 where C represents the distance of position of neutral axis from the mid-surface of the plate that can be achieved by …”

Section: Derivation Of the Governing Equationsmentioning

confidence: 99%

Magneto-electro-elastic vibration of moderately thick FG annular plates subjected to multi physical loads in thermal environment using GDQ method by considering neutral surface

Arshid

Kiani

Amir

2019

Proceedings of the IMechE

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The vibration analysis of an annular plate made up of functionally graded magneto-electro-elastic materials subjected to multi physical loads is presented. The plate is in thermal environment and temperature is distributed non-uniformly in its thickness direction. In addition, the plate is assumed moderately thick, the material properties vary through the thickness, and the exact neutral surface position is determined and took into account. According to Hamilton’s principle and the first-order shear deformation theory, the governing motion equations are extracted. Numerical results for various boundary conditions are obtained via the generalized differential quadrature method and are validated in simpler states with those of the literature. The effects of different parameters such as material property gradient index, multi physical loads, temperature variations, boundary conditions and geometric specifications of the plate on the natural frequencies and mode shapes are investigated. Temperature changes have little effect on the natural frequencies and the effect of electric potential on them is opposite of magnetic one. In other words, by increasing the magnetic potential, the rigidity of the plate increases too, and the frequency increases. The results of this study are useful to design more efficient sensors and actuators used in the smart or intelligent structures.

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Section: Derivation Of the Governing Equationsmentioning

confidence: 99%

Magneto-electro-elastic vibration of moderately thick FG annular plates subjected to multi physical loads in thermal environment using GDQ method by considering neutral surface

Arshid

Kiani

Amir

2019

Proceedings of the IMechE

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“…Based on the open literature, it seems that many investigators have paid attention to the analysis of FGM structures with porosities. Most of these investigations are concerned with the vibration behavior of FG porous structures [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. The objective of this article is to present the static of bending behavior of sandwich plates FGM having porosities.…”

Section: Introductionmentioning

confidence: 99%

Influence of porosity on the analysis of sandwich plates FGM using of high order shear-deformation theory.

Merdaci¹,

Mostefa

2019

Frattura Ed Integrità Strutturale

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In this article, the analytical solutions for static of bending analysis of functionally graded sandwich plates using four-variable high order shear-deformation theory is presented. During manufacture of these plates, defects such as porosities can appear. The objective of this paper is to develop a model to employ the new function for analysis the static of functionally graded sandwich plates. However, the material properties of the sandwich plate varies according to a power law P-FGM form through the thickness coordinate depending on the volume fraction of the constituent material. Equilibrium and stability equations are derived based on the present theory. The solution of the problem is derived by using Navier's technique. The influences of many sandwich plate parameters such of the variation and influences of porosity coefficient, aspect ratio, side-to-thickness ratio and exponent volume fraction will be investigated.

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“…Wang et al [16] studied vibrations of longitudinally travelling FGM porous thin rectangular plates using the Galerkin method and the four-order Runge-Kutta method. Ebrahimi et al [17] used a four-variable shear deformation refined plate theory for free vibration analysis of embedded smart rectangular plates made of magneto-electro-elastic porous functionally graded materials. Shahverdi and Barati [18] developed nonlocal strain-gradient elasticity model for vibration analysis of porous FGM nano-scale rectangular plates.…”

Section: Introductionmentioning

confidence: 99%

Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates

Żur

Jankowski

2019

Symmetry

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Free vibration analysis of the porous functionally graded circular plates has been presented on the basis of classical plate theory. The three defined coupled equations of motion of the porous functionally graded circular/annular plate were decoupled to one differential equation of free transverse vibrations of plate. The one universal general solution was obtained as a linear combination of the multiparametric special functions for the functionally graded circular and annular plates with even and uneven porosity distributions. The multiparametric frequency equations of functionally graded porous circular plate with diverse boundary conditions were obtained in the exact closed-form. The influences of the even and uneven distributions of porosity, power-law index, diverse boundary conditions and the neglected effect of the coupling in-plane and transverse displacements on the dimensionless frequencies of the circular plate were comprehensively studied for the first time. The formulated boundary value problem, the exact method of solution and the numerical results for the perfect and imperfect functionally graded circular plates have not yet been reported.

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Vibration analysis of magneto-electro-elastic heterogeneous porous material plates resting on elastic foundations

Cited by 84 publications

References 41 publications

Magneto-electro-elastic vibration of moderately thick FG annular plates subjected to multi physical loads in thermal environment using GDQ method by considering neutral surface

Magneto-electro-elastic vibration of moderately thick FG annular plates subjected to multi physical loads in thermal environment using GDQ method by considering neutral surface

Influence of porosity on the analysis of sandwich plates FGM using of high order shear-deformation theory.

Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates

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