Buckling analysis of thick functionally graded piezoelectric plates based on the higher-order shear and normal deformable theory

Abdollahi, Mahdieh; Saidi, A.R.; Mohammadi, Meisam

doi:10.1007/s00707-015-1330-6

Cited by 21 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Jadhav and Bajoria [8] investigated free and forced vibration control of FG piezoelectric plate under electro-mechanical loading. Most recently, Abdollahi et al [9] investigated stability of FG piezoelectric plates according to a shear and normal deformable plate theory. Also, Rouzegar and Abad [10] studied vibration of a FGM plate with piezoelectric patches using fourvariable refined plate theory.…”

mentioning

confidence: 99%

Electro-mechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory

Barati

Shahverdi

Zenkour

2016

Mechanics of Advanced Materials and Structures

View full text Add to dashboard Cite

Here, free vibration analysis of functionally graded piezoelectric (FGP) plates with porosities is carried out based on refined four-unknown plate theory. The present plate theory captures shear deformation impacts needless of shear correction factor. Modified power-law model is adopted to describe the graded material properties of FG piezoelectric plate. Implementing an analytical approach which satisfies different boundary conditions, governing equations derived from Hamilton's principle are solved. The obtained results are compared with those provided in literature. The impacts of applied voltage, porosity distribution, material graduation, plate geometrical parameters and boundary conditions on vibration of porous FGP plate are discussed. KEYWORDS Downloaded by [University of Cambridge] at 03:23

show abstract

mentioning

confidence: 99%

Electro-mechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory

Barati

Shahverdi

Zenkour

2016

Mechanics of Advanced Materials and Structures

View full text Add to dashboard Cite

show abstract

“…Wang et al [ 6 ] demonstrated the axisymmetric bending of circular plate under various boundary conditions using the 3D theory. According to a higher‐order shear and normal deformable plate theory, the mechanical buckling load of thick FGPMs rectangular plates was presented by Abdollahi et al [ 7 ] employing the virtual displacement concept to establish the linear stability equations. The hygrothermal displacement and stresses of FGPMs hollow cylinders were presented by Zenkour.…”

Section: Introductionmentioning

confidence: 99%

“…Many authors in the open literature have adopted the CPT, [11,36] FSDT, [5,32] or HSDTs [7,33,34,[37][38][39] for the study of plate even with complicated materials and geometries. While, the CPT neglects the impacts of the transverse shear and normal strains; therefore, it may be only valid for the thin plate.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Control of Vibrational Behavior of Smart FG Sandwich Plates with Honeycomb Core via a Quasi‐3D Plate Theory

Sobhy

Mukahal

2023

Adv Eng Mater

View full text Add to dashboard Cite

Herein, vibrational behavior of functionally graded (FG) smart piezoelectric sandwich plates with honeycomb core resting on viscoelastic foundation under the effect of 2D magnetic field is presented. By varying the magnetic-field magnitude and its direction, the vibrations can be controlled. The plate is composed of two FG piezoelectric layers bonded with honeycomb structure as a mid-layer. Magnetic Lorentz force will be deduced via Maxwell's relations. A new quasi-3D plate theory considering the shear and normal deformations is incorporated to evaluate the displacements. The governing equations of motion are introduced via Hamilton's principle. Galerkin technique is considered to solve the motion equations for different boundary conditions. Influences of the magnetic field, boundary conditions, electric voltage, and core thickness on the eigenfrequency of the FG sandwich piezoelectric plate are illustrated. It is found that considering the effect of the magnetic field on the smart devices increases their vibrations, which may lead to an increment in the energy harvested from them. Further, when the magnetic field is applied along the length of the rectangular plate, the vibrations are reduced and vice versa.

show abstract

“…Su et al [6] presented a unified solution to investigate the effects of boundary conditions, thickness-to-radius ratio, gradient index on the transient and free vibrations of FGPM curved beams. Furthermore, many investigators researched the bending, free vibration, and buckling of FGPM plates [7][8][9][10][11] and flexible structure bonded with piezoelectric sensors/actuators [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent static bending and free vibration analysis of porous functionally graded piezoelectric nanobeams

Zhang

Xie

Zheng

et al. 2020

Smart Mater. Struct.

View full text Add to dashboard Cite

According to electric enthalpy variation and Hamilton's principle, governing differential equations and boundary conditions of functionally gradient piezoelectric nanobeams with porosities are established. The generalized differential quadrature method plays the role of transforming governing differential equations into a group of linear algebraic equations. Based on the strain gradient theory, a size-dependent functionally gradient piezoelectric nanobeam formulation including additional material length scale parameters is established. The static bending and free vibration analysis of a nanobeam made up of porous functionally gradient piezoelectric materials is researched. Two kinds of porosity distributions are considered in this paper. The influencess of power law index, porosity parameter, porosity distribution, external electrical voltage, flezoelectric effect, length scale parameter and boundary conditions on static deformation and natural frequencies of the nanobeam are researched in detail.

show abstract

Buckling analysis of thick functionally graded piezoelectric plates based on the higher-order shear and normal deformable theory

Cited by 21 publications

References 28 publications

Electro-mechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory

Electro-mechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory

Magnetic Control of Vibrational Behavior of Smart FG Sandwich Plates with Honeycomb Core via a Quasi‐3D Plate Theory

Size-dependent static bending and free vibration analysis of porous functionally graded piezoelectric nanobeams

Contact Info

Product

Resources

About