Free vibration analysis of a piezoelectric curved sandwich nano-beam with FG-CNTRCs face-sheets based on various high-order shear deformation and nonlocal elasticity theories

Arefi, Mohammad; Pourjamshidian, Mahmoud; Arani, A. Ghorbanpour

doi:10.1140/epjp/i2018-12015-1

Cited by 32 publications

(18 citation statements)

References 70 publications

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“…Nonlinear vibration in the case of sandwich beams that are graded with carbon nanotubes is researched in [42]. Free vibration of curved sandwich-FG beams, again with various patterns of carbon nanotube distribution are examined in [43], piezoelectric and electrostatic actuation of laminated microarches in [44] and influence of a viscoelastic core in [45]. As a special case, formulations developed for vibrations of curved sandwich beams can be applied to straight beams by considering a very large curvature radius [46].…”

Section: Introduction Motivation and Outlinementioning

confidence: 99%

On thermomechanics of multilayered beams

Barretta

Čanađija

Sciarra

2020

International Journal of Engineering Science

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In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven integral formulation of elasticity. The present research extends the treatment in [1] confined to elastically homogeneous nano-scopic structures. It is shown that the non-locality leads to a complex coupling between axial and transverse elastic displacements. Such a size-dependent phenomenon makes the solution of the relevant nonlocal thermoelastostatic problem, governed by a system of two ordinary differential equations with ten standard boundary conditions and non-classical constitutive boundary conditions, significantly more involved with respect to treatments in literature. Thus, a novel solution methodology, based on Laplace transforms, is proposed and illustrated by examining simple structural schemes of current

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Section: Introduction Motivation and Outlinementioning

confidence: 99%

On thermomechanics of multilayered beams

Barretta

Čanađija

Sciarra

2020

International Journal of Engineering Science

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“…For convenience, the integral constitutive relation can be turned into a differential form for a specific kernel function proposed in Eringen, [17] and this model is widely used to investigate the bending, buckling and vibration behavior of structures including tubes, beams, plates and shells. Since the list of papers is extremely long to be reported in detail here, the readers are encouraged to check the review paper [18][19][20][21][22][23] to access more papers. In practical applications, there are lots of curved beams besides straight beams, such as the following research.…”

Section: Introductionmentioning

confidence: 99%

“…The effects of geometrical and nonlocal parameters as well as the loading pulse duration are brought out on the dynamic behaviours of curved nanobeams. Arefi et al [22] investigated the free vibration responses of piezoelectric sandwich curved nano-beams resting on Winkler-Pasternak foundation on the basis of based on the nonlocal elasticity theory. The governing equations are derived based on the Hamilton principle for various shear deformation theories.…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis for static bending of circular Euler–Bernoulli beam using local and Eringen's nonlocal integral mixed model

2019

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Many studies have shown that Eringen's differential nonlocal model leads to some inconsistencies for the cantilever beams, which indicates the necessity to adopt the original integral nonlocal model. In this paper, Eringen's two‐phase local/nonlocal model is applied to capture the size effect in the curved Euler‐Bernoulli beam. The governing equations of equilibrium and boundary conditions are derived on the basis of Hamilton's principle. The Fredholm type integral governing equations are transformed to Volterra integral equations of the second kind through simply adjusting the limit of integrals, and solved uniquely through the Laplace transformation with several unknown constants, which are determined through the boundary conditions and extra constrained equations. The Exact solutions for a curved microbeam bending are derived explicitly for different boundary conditions. The present model is validated against the straight Euler beam for large radius circular case. The numerical results from current model show that the consistent softening effect of the two parameters on the bending deflection of the microbeams is observed for all boundary conditions.

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“…They found not all sandwich FGM plates possess similar mechanical behavior and performance in high temperature. Arefi et al . studied about curved sandwich nanobeams that consist of homogenous piezoelectric core and two layers reinforced with FG CNTs rested on Winkler‐Pasternak foundation.…”

Section: Introductionmentioning

confidence: 99%

“…They found not all sandwich FGM plates possess similar mechanical behavior and performance in high temperature. Arefi et al [44] studied about curved sandwich nanobeams that consist of homogenous piezoelectric core and two layers reinforced with FG CNTs rested on Winkler-Pasternak foundation. Dynamic analysis of sandwich beams with FG core using a truly meshfree radial point interpolation method presented by Bui et al [45] They determined the effective properties of the FG core either by the rule of mixture or by the Mori-Tanaka micromechanics scheme.…”

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confidence: 99%

Size‐dependent free vibration of sandwich micro beam with porous core subjected to thermal load based on SSDBT

2019

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In this study, free vibration of the sandwich microbeam with porous core and FG carbon nanotubes reinforced composite face sheets which is rested on Winkler‐Pasternak substrate is investigated. It is assumed the beam is in thermal environment and is subjected to thermal load and the displacement components are described based on sinusoidal shear deformation beam theory. The small scale effects are taken into account according to the modified couple stress theory. The core and face sheets properties are diffused through the thickness. The motion equations are derived and solved using Hamilton's principle and Navier's method, respectively. Effect of different parameters such as porosity coefficient and distributions, different types of CNTs distribution, small scale and geometrical size of the beam is considered. The results show by enhancing the porosity, the frequency decreased. The findings of the current study can be used to design prominent role in modern engineering applications.

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Free vibration analysis of a piezoelectric curved sandwich nano-beam with FG-CNTRCs face-sheets based on various high-order shear deformation and nonlocal elasticity theories

Cited by 32 publications

References 70 publications

On thermomechanics of multilayered beams

On thermomechanics of multilayered beams

Theoretical analysis for static bending of circular Euler–Bernoulli beam using local and Eringen's nonlocal integral mixed model

Size‐dependent free vibration of sandwich micro beam with porous core subjected to thermal load based on SSDBT

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