Vibration of thermo-electrically post-buckled rectangular functionally graded piezoelectric beams

Komijani, M.; Kiani, Y.; Esfahani, S.E.; Eslami, Mohammad H.

doi:10.1016/j.compstruct.2012.10.047

Cited by 79 publications

(26 citation statements)

References 31 publications

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“…The effective material properties of the FGPM nanobeam are supposed to change continuously in the z-axis direction (thickness direction) based on the power-law model. So, the effective material properties, P including elastic, piezoelectric, and dielectric constants and also thermal expansion coefficient can be stated in the following form [44]:…”

Section: The Materials Properties Of Fgp Nanobeamsmentioning

confidence: 99%

“…Kiani, Y., et al [43] analyzed buckling behavior of FG beams with or without surface-bonded piezoelectric layers subjected to both thermal loading and constant voltage. Komijani et al [44] studied free vibration of FGP beams with rectangular cross sections under in-plane thermal and electrical excitations in pre/ postbuckling regimes. Lezgy-Nazargah et al [45] suggested an efficient three-nodded beam element model for static, free vibration, and dynamic response of FG piezoelectric material beams.…”

Section: Introductionmentioning

confidence: 99%

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Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Ebrahimi

Barati

2016

International Journal of Smart and Nano Materials

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In the present work, thermo-electro-mechanical buckling behavior of functionally graded piezoelectric (FGP) nanobeams is investigated based on higher-order shear deformation beam theory. The FGP nanobeam is subjected to four types of thermal loading including uniform, linear, and sinusoidal temperature rise as well as heat conduction through the beam thickness. Thermo-electromechanical properties of FGP nanobeam are supposed to change continuously in the thickness direction based on power-law model. To consider the influences of small-scale sizes, Eringen's nonlocal elasticity theory is adopted. Applying Hamilton's principle, the nonlocal governing equations of an FGP nanobeam in thermal environments are obtained and are solved using Naviertype analytical solution. The significance of various parameters, such as thermal loadings, external electric voltage, power-law index, nonlocal parameter, and slenderness ratio on thermal buckling response of size-dependent FGP nanobeams is investigated. ARTICLE HISTORY

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Section: The Materials Properties Of Fgp Nanobeamsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Ebrahimi

Barati

2016

International Journal of Smart and Nano Materials

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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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“…Functionally Graded Materials (FGM) have this characteristic which has made them to be largely used in various shape in numerous industries [2,24,25] .The free vibration of piezoelectric FG beams with rectangular cross sections in pre/post-buckling regimes is analyzed by Komijani et al [26] based on Timoshenko beam theory. Elather et al analyzed the static-buckling behavior of functionally graded nanobeams as a core structure of micro and nano electro mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

Hosseini

Rahmani

2018

Smart Constr Res

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Abstract:The bending and vibration behavior of a curved FG nanobeam using the nonlocal Timoshenko beam theory is analyzed in this paper. It is assumed that the material properties vary through the radius direction. The governing equations were obtained using Hamilton principle based on the nonlocal Timoshenko model of curved beam. An analytical approach for a simply supported boundary condition is conducted to analyze the vibration and bending of curved FG nanobeam. In the both mentioned analysis, the effect of significant parameter such as opening angle, the power law index of FGM, nonlocal parameter, aspect ratio and mode number are studied. The accuracy of the solution is examined by comparing the results obtained with the analytical and numerical results published in the literatures.

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Vibration of thermo-electrically post-buckled rectangular functionally graded piezoelectric beams

Cited by 79 publications

References 31 publications

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

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

Bending and Vibration Analysis of Curved FG Nanobeams via Nonlocal Timoshenko Model

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