Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field

Arani, A. Ghorbanpour; Haghparast, Elham; Zarei, H. BabaAkbar

doi:10.1016/j.physb.2016.04.039

Cited by 58 publications

(12 citation statements)

References 29 publications

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“…[54] In Figure 3b the mechanical properties of the face sheets respect to temperature variations are shown. The various distributions of the CNTs for the top (ℎ ∕2 ≤ ≤ ℎ ∕2 + ℎ ) and the bottom (−ℎ ∕2 − ℎ ≤ ≤ −ℎ ∕2) face sheets can be expressed as [55] :…”

Section: Fg-cntrc Face Sheetsmentioning

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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Section: Fg-cntrc Face Sheetsmentioning

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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“…The effects of elastic foundation on the sandwich plate are studied based on the comprehensive theory of orthotropic visco-Pasternak foundation. This theory considers an arbitrarily oriented foundation and is capable to model normal, the transverse shear and damping loads as an external force which applied on the structures as follows [29]:…”

Section: Sandwich Plate Rested On Orthotropic Visco-pasternak Foundationmentioning

confidence: 99%

Application of smart electro-rheological dampers in semi-active control of electro-rheological sandwich plates with nanocomposite facesheets rested on orthotropic visco-Pasternak foundation

Arani

BabaAkbar-Zarei

Jamali

2019

J Braz. Soc. Mech. Sci. Eng.

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In this research, semi-active control of sandwich plates with electro-rheological (ER) core and carbon nanotubes-reinforced composite facesheets using smart ER dampers is studied. Sandwich plate is subjected to the external electric field and rested on orthotropic visco-Pasternak foundation. The material properties of ER core and nanocomposite facesheets are obtained by Yalcintas model and Eshelby-Mori-Tanaka approach, respectively. The governing equations of motion are solved by a combination between finite element and Newmark methods for clamped and simply supported boundary condition. The effects of various parameters such as applied voltage, controlled electric field and initial gap of the electrodes on the vibration suppression time are discussed. The results show that the settling time of system introduced in this work is much less than previous researches in this field which is a very important advantage.

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“…The governing equations of the nonlocal strain gradient graphene sheet in terms of the displacement are obtained by inserting equations (25) to (27), into equations (14) to (15) as follows…”

Section: Governing Equationsmentioning

confidence: 99%

“…Jiang et al 26 conducted the vibration analysis of a single-layered graphene sheet-based mass sensor using the Galerkin strip distributed transfer function method. Arani et al 27 examined nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field. Sobhy 28 analyzed the hygro-thermal vibrational behavior of the coupled graphene sheets by an elastic medium using the two-variable plate theory.…”

Section: Introductionmentioning

confidence: 99%

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Vibration analysis of graphene sheets resting on the orthotropic elastic medium subjected to hygro-thermal and in-plane magnetic fields based on the nonlocal strain gradient theory

Ebrahimi

Barati

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper develops a nonlocal strain gradient plate model for vibration analysis of the graphene sheets under in-plane magnetic field and hygro-thermal environments. For more accurate analysis of the graphene sheets, the proposed theory contains two-scale parameters related to the nonlocal and strain gradient effects. The graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as moisture concentration rise, temperature rise, nonlocal parameter, length scale parameter, elastic foundation, and magnetic field on vibration characteristics of the graphene sheets are examined.

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Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field

Cited by 58 publications

References 29 publications

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

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

Application of smart electro-rheological dampers in semi-active control of electro-rheological sandwich plates with nanocomposite facesheets rested on orthotropic visco-Pasternak foundation

Vibration analysis of graphene sheets resting on the orthotropic elastic medium subjected to hygro-thermal and in-plane magnetic fields based on the nonlocal strain gradient theory

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