Static and dynamic analysis of functionally graded piezoelectric plates under mechanical and electrical loading

Behjat, Bashir; Salehi, Manouchehr; Armin, Ahad; Sadighi, Mojtaba; Abbasi, Mahdi

doi:10.1016/j.scient.2011.07.009

Cited by 59 publications

(24 citation statements)

References 25 publications

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“…They investigated the effects of temperature difference, grading index of the material and, etc. Behjat et al [15] researched to study the static and dynamic analysis of a functionally graded piezoelectric plate. They hypothesized that the structure was under the electrical and implemented.…”

Section: Introductionmentioning

confidence: 99%

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

2019

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This paper presents free vibration of the double-curved shells and panels with piezoelectric layers in a thermal environment. Vibration characteristics of elliptical, spherical, cycloidal, and toro circular shells of revolution are studied in detail. These structures are made of a based carbon nanotubes (CNTs) core and piezoelectric layers at the upper and lower surfaces. It is supposed that temperature changes linearly through the thickness direction. Reissner-Mindlin and the first order shear deformation (FSDT) theories are implemented to derive the governing equations of the considered structures. The distribution of nanotubes is assumed to be linear along the thickness direction. For solving the equation, the General Differential Quadrature (GDQ) method is implemented to investigate the dynamic behavior of the structures. Finally, the effects of the boundary conditions, the thickness of piezoelectric layers, the functional distribution of CNTs, thermal environment and kinds of the circuit (opened-circuit and closedcircuit) are analyzed. Eigenvalue system is solved to obtain natural frequencies. It is delineated that the obtained fundamental frequency by the closed -circuit is smaller than those obtained by the opened-circuit. Another interesting result is that the natural frequency is decreased by increasing temperature.

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Section: Introductionmentioning

confidence: 99%

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

2019

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“…These FGPM are generally made of a mixture of two piezoelectric materials. Several authors studied FGPM beams or plates under thermo-electro-mechanical loads: static analysis have been performed in [4][5][6][7] and modal analysis in [8][9][10][11][12]. The geometrically non linear transient thermo-elastic response of FGM beam integrated with a pair of FGPM sensors has been investigated in [13].…”

Section: Introductionmentioning

confidence: 99%

A numerical efficiency study on the active vibration control for a FGPM beam

Maruani

Bruant

Pablo

et al. 2017

Composite Structures

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“…A threedimensional elasticity solution for static analysis of a simply supported FG cylindrical panel integrated with piezoelectric layers under normal load and electric excitation was presented in [23]. The static bending, free vibration and transient responses of functionally graded piezoelectric plates under mechanical and electrical loads were investigated in [24] based on the FSDT, Hamilton's principle and the FEM. The FEM of functionally graded plates integrated with piezoelectric patches was presented in [25].…”

Section: Introductionmentioning

confidence: 99%

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

Javanbakht

Mohammadian

2017

Scientia Iranica

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In the present study, a layerwise finite element method is utilized to solve the coupled elasticity and piezoelectricity equations to study a functionally graded shell panel integrated with piezoelectric layers under electromechanical loading. The system of equations is reduced to ordinary differential equations with variable coefficients by means of trigonometric function expansion in circumferential and longitudinal directions satisfying mechanical and electrical boundary conditions. These equations are solved using the Galerkin FEM and Newmark method.The results of stress, displacement and electrical potential are presented and the effect of panel thickness and applied voltage on the structural behavior is investigated.

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Static and dynamic analysis of functionally graded piezoelectric plates under mechanical and electrical loading

Cited by 59 publications

References 25 publications

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

A numerical efficiency study on the active vibration control for a FGPM beam

Layerwise finite element piezoelasticity analysis of functionally graded shell panel integrated with piezoelectric actuator and sensor

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