Postbuckling instability of nonlinear nanobeam with geometric imperfection embedded in elastic foundation

Mohammadi, Hossein; Mahzoon, Mojtaba; Mohammadi, Mohsen; Mohammadi, Mojtaba

doi:10.1007/s11071-014-1264-x

Cited by 38 publications

(13 citation statements)

References 24 publications

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“…Perfectly straight nanotubes are rarely found in nanotechnology-based systems and devices since a small initial deflection is usually imposed on the nanotube during the fabrication process. It is important to incorporate the effects of this initial deflection as it has been indicated that a geometric imperfection affects the size-dependent mechanical response of small-scale structures [42,43]. To the best of authors' knowledge, no continuum-based analysis has been conducted on the chaotic response of nanofluid-conveying nanotubes with a geometric imperfection.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Ghayesh

Farokhi

Farajpour

2019

Applied Mathematical Modelling

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights  Chaos in fluid-conveying nanotubes with initial deflections is analysed.  A scale-dependent model of nanobeams with large deformations is developed.  To comprehensively simulate size effects, the NSGT is utilised.

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Section: Accepted Manuscriptmentioning

confidence: 99%

Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Ghayesh

Farokhi

Farajpour

2019

Applied Mathematical Modelling

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“…Also, Niknam and Aghdam [24] have obtained a closed form solution for both natural frequency and buckling load of nonlocal functionally graded beams resting on nonlinear elastic foundation. Moreover, the static instability of a nanobeam with geometrical imperfections with elastic foundation has been investigated by Mohammadi et al [25]. In this paper, size-dependent effect is included in the nonlinear model.…”

Section: Introductionmentioning

confidence: 99%

Investigating Surface Effects on Thermomechanical Behavior of Embedded Circular Curved Nanosize Beams

Ebrahimi

Daman²

2016

Journal of Engineering

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To investigate the surface effects on thermomechanical vibration and buckling of embedded circular curved nanosize beams, nonlocal elasticity model is used in combination with surface properties including surface elasticity, surface tension, and surface density for modeling the nanoscale effect. The governing equations are determined via the energy method. Analytically Navier method is utilized to solve the governing equations for simply supported nanobeam at both ends. Solving these equations enables us to estimate the natural frequency and critical buckling load for circular curved nanobeam including Winkler and Pasternak elastic foundations and under the effect of a uniform temperature change. The results determined are verified by comparing the results with available ones in literature. The effects of various parameters such as nonlocal parameter, surface properties, Winkler and Pasternak elastic foundations, temperature, and opening angle of circular curved nanobeam on the natural frequency and critical buckling load are successfully studied. The results reveal that the natural frequency and critical buckling load of circular curved nanobeam are significantly influenced by these effects.

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“…Wang et al [23] also developed a nonlocal beam model in order to examine the large-amplitude forced dynamics of imperfect single-walled CNTs; they utilised a one-term Galerkin approximation and the precise integration scheme to describe the nonlinear behaviour of the CNT. In another study, Mohammadi et al [24] applied Eringen's elasticity theory to nanoscale beams with a geometrical imperfection resting on an elastic foundation so as to explore their post-buckling behaviour. In order to examine the stability response of metal foam nanoscale beams with an initial deflection in the presence of structural porosities, a nonlinear nonlocal analysis was also performed by Barati and Zenkour [25].…”

Section: Introductionmentioning

confidence: 99%

Large-amplitude coupled scale-dependent behaviour of geometrically imperfect NSGT nanotubes

Farajpour

Ghayesh

Farokhi

2019

International Journal of Mechanical Sciences

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In this paper, a scale-dependent coupled nonlinear continuum-based model is developed for the mechanical behaviour of imperfect nanoscale tubes incorporating both the effect of the stress nonlocality and strain gradient effects. The scale effects on the nonlinear mechanics are taken into consideration employing a modified elasticity theory on the basis of a refined combination of Eringen's elasticity and the strain gradient theory. According to the Euler-Bernoulli theory of beams, the nonlocal strain gradient theory (NSGT) and Hamilton's principle, the potential energy, kinetic energy and the work performed by harmonic loads are formulated, and then the coupled scale-dependent equations of the imperfect nanotube are derived. Finally, Galerkin's scheme, as a discretisation technique, and the continuation method, as a solution procedure for ordinary differential equations, are used. The effects of geometrical imperfections in conjunction with other nanosystem parameters such as the nonlocal coefficient as well as the strain gradient coefficient on the coupled large-amplitude mechanical behaviour are explored and discussed.

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Postbuckling instability of nonlinear nanobeam with geometric imperfection embedded in elastic foundation

Cited by 38 publications

References 24 publications

Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Investigating Surface Effects on Thermomechanical Behavior of Embedded Circular Curved Nanosize Beams

Large-amplitude coupled scale-dependent behaviour of geometrically imperfect NSGT nanotubes

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