Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment

Ebrahimi, Farzad; Barati, Mohammad Reza

doi:10.1177/1077546316646239

Cited by 136 publications

(35 citation statements)

References 28 publications

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“…In addition, a nonlocal beam model was presented by Simsek [168] for the size-dependent vibration of CNTs subject to a moving load; the nonlocal dynamic deflection is In addition to the stress nonlocality, surface influences on the vibration of nanoscale beams have been studied based on modified continuum models [75,76,[171][172][173][174][175]; it was concluded that surface effects can account for the stiffness hardening, which cannot be described by the nonlocal elasticity theory. In addition, recently size-dependent continuum models incorporating 19 surface and nonlocal effects have been developed for the vibration of smart nanoscale beams such as piezoelectric and magneto-electro-elastic nanobeams [176][177][178][179][180][181] as well as nonhomogeneous nanoscale beams [144,[182][183][184][185].…”

Section: 3d Size-dependent Vibration Of Nanobeamsmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

212

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Understanding the mechanical behaviour of nanostructures is of great importance due to their applications in nanodevices such as in nanomechanical resonators, nanoscale mass sensors, electromechanical nanoactuators and nanogenerators. Due to the difficulties of performing accurate experimental measurements at nanoscales and the high computational costs associated with the molecular dynamics simulations, the continuum modelling of nanostructures has attracted a considerable amount of attention. Since size influences have a crucial role in the mechanics of structures at nanoscale levels, classical continuum-based theories have been modified to incorporate these effects. Among various modified continuum-based theories, the nonlocal elasticity and the nonlocal strain gradient elasticity have been employed to estimate the mechanical behaviour of nanostructures. In this review paper, first these two modified elasticity theories are briefly explained. Then, the nonlocal motion equations for different nanostructures including nanorods, nanorings, nanobeams, nanoplates and nanoshells are derived. Several papers which reported on the size-dependent mechanical behaviour of nanostructures using modified continuum models are reviewed. Furthermore, important results reported on the vibration, bending and buckling of nanostructures as well as the results of size-dependent wave propagation analyses are discussed.

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Section: 3d Size-dependent Vibration Of Nanobeamsmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

212

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“…Now, the governing equations in terms of displacements can be derived via substituting Eqs. (20)(21)(22)(23) in Eqs. (13)(14)(15)(16) as:…”

Section: Nonlocal Governing Equationsmentioning

confidence: 99%

“…Nonlocal elasticity theory proposed by Eringen [16,17] is able to consider a wide range of interaction between atoms. Thus, this theory is a suitable candidate for modeling of nanoscale structures [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. This theory is also extensively applied to investigate mechanical behaviors of FG nanoplates [35][36][37][38][39][40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermal vibration analysis of refined shear deformable FG nanoplates: two semi-analytical solutions

Barati

Shahverdi

2018

J Braz. Soc. Mech. Sci. Eng.

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This paper deals with the semi-analytical nonlinear thermal vibration analysis of functionally graded (FG) nanoplates modeled by four-variable refined plate theory. The nanoplate is resting on a nonlinear hardening elastic medium and subjected to uniform and nonlinear temperature rises. Temperature-dependent gradient material properties of the nanoplate are described via simple power-law model. A closed-form expression for nonlinear frequency is presented using a novel Hamiltonian approach as well as He's variational method. To the best of the author's knowledge, the nonlinear governing equations and their solution for a refined four-variable nanoplate are very rare in the literature. It is seen that the nonlinear vibration frequency is affected by the uniform temperature rise, nonlinear temperature rise, scale parameter, maximum amplitude, material gradation, foundation parameters and temperature-dependency. The presented formulation and solution approaches can be used in future investigations on macro to nanoscale plates.

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“…Narendar et al [23] investigated wave propagation of MEE-FG nonlocal rods. Also, Ebrahimi and Barati [24][25][26][27] examined free vibration and stability of METE-FG nanobeams based on third-order beam model. According to the above discussion, to the authors' best knowledge, up to now, no study has been carried out on the continuum formulation of buckling behavior of METE-FG nanoplates under external electric and magnetic potentials as well as various thermal environments.…”

Section: Introductionmentioning

confidence: 99%

Temperature distribution effects on buckling behavior of smart heterogeneous nanosize plates based on nonlocal four-variable refined plate theory

Ebrahimi

Barati

2016

International Journal of Smart and Nano Materials

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This work presents a theoretical study for thermo-mechanical buckling of size-dependent magneto-electro-thermo-elastic functionally graded (METE-FG) nanoplates in thermal environments based on a refined trigonometric plate theory. Temperature field has uniform, linear, and nonlinear distributions across the thickness. Nonlinear thermal loadings are considered as heat conduction (HC) and sinusoidal temperature rise (STR). A power law function is applied to govern the gradation of material properties through the nanoplate thickness. Considering coupling impacts between magneto, electro, thermo-mechanical loadings, the equations of motion, and distribution of magneto-electrical field across the thickness direction of the METE-FG nanoplate are derived. The exact solutions for critical buckling temperatures of METE-FG nanoplates are introduced implementing Navier's method. Moreover, the accuracy of the present formulation is examined by comparing the obtained results with published ones. Furthermore, the effects played by the magneto-electrical field, various temperature rises, nonlocality, power law index, side-tothickness ratio, and aspect ratio on the critical buckling temperature response are all investigated and reported.ARTICLE HISTORY

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Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment

Cited by 136 publications

References 28 publications

A review on the mechanics of nanostructures

A review on the mechanics of nanostructures

Nonlinear thermal vibration analysis of refined shear deformable FG nanoplates: two semi-analytical solutions

Temperature distribution effects on buckling behavior of smart heterogeneous nanosize plates based on nonlocal four-variable refined plate theory

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