Large amplitude free vibration of symmetrically laminated magneto-electro-elastic rectangular plates on Pasternak type foundation

Shooshtari, Alireza; Razavi, Soheil

doi:10.1016/j.mechrescom.2015.06.011

Cited by 41 publications

(5 citation statements)

References 18 publications

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“…Due to the fact that by exerting positive and negative f 0 and y 0 to the MEE microplate, tensile in-plane and compressive forces are created, thus, negative electric potentials and positive magnetic potentials cause an increase in the bending stiffness of the system and consequently frequency increases. Also, it is found that when the plate thickness increases the frequency changes of MEE microplate with electric potential and magnetic potential are very small as elaborated in [58]. the value of buckling load reduces at the beginning by increasing the plate thickness but it increases after a certain amount of plate thickness.…”

Section: Piezomagneticmentioning

confidence: 87%

Free vibration and biaxial buckling analysis of magneto-electro-elastic microplate resting on visco-Pasternak substrate via modified strain gradient theory

Jamalpoor

Ahmadi-Savadkoohi

Hosseini-Hashemi

2016

Smart Mater. Struct.

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This paper deals with the theoretical analysis of free vibration and biaxial buckling of magnetoelectro-elastic (MEE) microplate resting on Kelvin-Voigt visco-Pasternak foundation and subjected to initial external electric and magnetic potentials, using modified strain gradient theory (MSGT). Kirchhoff plate model and Hamilton's principle are employed to extract the governing equations of motion. Governing equations were analytically solved to obtain clear closed-form expression for complex natural frequencies and buckling loads using Navier's approach. Numerical results are presented to reveal variations of natural frequency and buckling load ratio of MEE microplate against different amounts of the length scale parameter, initial external electric and magnetic potentials, aspect ratio, damping and transverse and shear stiffness parameters of the visco-Pasternak foundation, length to thickness ratio, microplate thickness and higher modes. Numerical results of this study illustrate that by increasing thickness-to-material length scale parameter ratio, both natural frequency and buckling load ratio predicted by MSGT and modified couple stress theory are reduced because the non-dimensional length scale parameter tends to decrease the stiffness of structures and make them more flexible. In addition, results show that initial external electric and initial external magnetic potentials have no considerable influence on the buckling load ratio and frequency of MEE microplate as the microplate thickness increases.

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Section: Piezomagneticmentioning

confidence: 87%

Free vibration and biaxial buckling analysis of magneto-electro-elastic microplate resting on visco-Pasternak substrate via modified strain gradient theory

Jamalpoor

Ahmadi-Savadkoohi

Hosseini-Hashemi

2016

Smart Mater. Struct.

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“…However, FEM formulations based on Lagrangian formulations for studying geometric nonlinearity in dynamic problems, such as those presented by Almeida et al [35] and Polat and Calayir [36], could be also used. From this perspective, a nonlinear formulation for FEM dynamic analysis was employed by Shooshtari and Razavi [37] to analyze the free vibration of rectangular plates resting on an elastic foundation. A Lagrangian formulation was also used by Oliveira and Greco [38] to analyze the nonlinear dynamics of moving masses applied on beams with layered cross sections.…”

Section: 4 Finite Element Analysis 4fem Formulation Overviewmentioning

confidence: 99%

Initial undamped resonant frequency of slender structures considering nonlinear geometric effects: the case of a 60.8 m-high mobile phone mast

Wahrhaftig

Brasil

2016

J Braz. Soc. Mech. Sci. Eng.

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“…Liu et al [4] and [5] respectively presented the free vibration and bending analyses of an isotropic MEE plate based on a classical plate theory (CPT). In another work, Shooshtari and Razavi [6] studied a free vibration behavior of the laminated MEE rectangular plates under the Pasternak foundation by using the first-order shear deformation theory (FSDT). Similar to this theory, the nonlinear bending analysis of MEE plates was introduced by Chen and Wu [7], Milazzo [8] and Alaimo et al [9].…”

Section: Introductionmentioning

confidence: 99%

A Moving Kriging Meshfree Method for The Vibration Analysis of Homogenous Magneto-electro-elastic Plates

Nguyen

Thai

Nguyen‐Xuan

2023

J. ADV. ENG. COMPUT.

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The free vibration analysis of the homogenous magneto-electro-elastic (MEE) plate based on a refined first-order shear deformation theory and moving Kriging meshfree method is presented in this paper. The refined first-order shear deformation theory (RFSDT) only includes four variables and reduces one variable when comparing to original first-order shear deformation theory. The MEE materials which are coupled between piezoelectric and piezomagnetic effects, are combined of BaTiO3 and CoFe2O4 materials. The magnetic and electric potentials satisfying to the Maxwell equations are assumed to be a combination of cosine and linear variations along the plate thickness. The coupled governing equations of motion of the MEE plates are obtained by using the principle of extended virtual displacement. These equations are solved to achieve the natural frequency of MEE plates by utilizing the moving Kriging meshfree method. Several numerical examples are examined to evaluate the influence of the geometrical parameter on the natural frequency of the MEE plates.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.

show abstract

Large amplitude free vibration of symmetrically laminated magneto-electro-elastic rectangular plates on Pasternak type foundation

Cited by 41 publications

References 18 publications

Free vibration and biaxial buckling analysis of magneto-electro-elastic microplate resting on visco-Pasternak substrate via modified strain gradient theory

Free vibration and biaxial buckling analysis of magneto-electro-elastic microplate resting on visco-Pasternak substrate via modified strain gradient theory

Initial undamped resonant frequency of slender structures considering nonlinear geometric effects: the case of a 60.8 m-high mobile phone mast

A Moving Kriging Meshfree Method for The Vibration Analysis of Homogenous Magneto-electro-elastic Plates

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