Visco-surface-nonlocal piezoelasticity effects on nonlinear dynamic stability of graphene sheets integrated with ZnO sensors and actuators using refined zigzag theory

Arani, A. Ghorbanpour; Kolahchi, Reza; Zarei, Moein

doi:10.1016/j.compstruct.2015.05.065

Cited by 51 publications

(16 citation statements)

References 38 publications

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“…Xu and Deng [18] established variational principles for the buckling and vibration of MWCNTs with the aid of the semi-inverse method. The size-dependent stability behavior of nano-sandwich plates was investigated by Ghorbanpour Arani et al [19] using the MCST. Akgöz and Civalek [20] performed the thermo-mechanical size-dependent buckling analysis of embedded FG microbeams based on the SSDBT and the MCST.…”

mentioning

confidence: 99%

Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes

Bidgoli

Kolahchi

2016

Appl. Math. Mech.-Engl. Ed.

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confidence: 99%

Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes

Bidgoli

Kolahchi

2016

Appl. Math. Mech.-Engl. Ed.

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“…The force induced by nonlinear orthotropic Pasternak foundation is

\begin{matrix} q = k_{1 w} w + k_{2 w} w^{3} - k_{g ξ} true(\cos^{2} θ \frac{\partial^{2} w}{\partial x^{2}} + 2 \cos θ \sin θ \frac{\partial^{2} w}{\partial x \partial y} + \sin^{2} θ \frac{\partial^{2} w}{\partial y^{2}} true) \\ - k_{g ζ} true(\sin^{2} θ \frac{\partial^{2} w}{\partial x^{2}} - 2 \sin θ \cos θ \frac{\partial^{2} w}{\partial x \partial y} + \cos^{2} θ \frac{\partial^{2} w}{\partial y^{2}} true), \end{matrix}

where angle θ describes the local ξ direction of orthotropic foundation with respect to the global x ‐axis of the system;

k_{1 w}

k_{2 w}

k_{g ξ}

, and

k_{g ζ}

, respectively are linear spring, nonlinear spring,

ξ

‐shear, and

ζ

‐shear constants.…”

Section: Energy Methodsmentioning

confidence: 99%

“…For a microplate reinforced with CNTs subjected to a steady magnetic field,

H_{0}

, the exerted body force can be calculated as

f_{m} = η \underset{J}{\underset{(\nabla \times \underset{boldh}{\underset{true︸}{true(∇× true(u× H_{0} true) true)}})}{true}} \times H_{0},

where

η

is the magnetic permeability;

\nabla

is the gradient operator;

u = (u_{1}^{false(g false)}, u_{2}^{false(g false)}, u_{3}^{false(g false)})

is the displacement field vector;

boldh

is the disturbing vectors of magnetic field;

boldJ

is the current density and

H_{0}

for the unidirectional state can be defined as

H_{0} = H_{x} δ_{x ϑ} {\overset{e}{true}}_{x} + H_{y} δ_{y ϑ} {\overset{e}{true}}_{y}

where

δ

is the Kronecker delta tensor. Using Eqs .…”

Section: Energy Methodsmentioning

confidence: 99%

“…Without the external charge

F_{Φ^{(s)}}

on the sensor layer ,

Φ_{d}^{false(normals false)}

may be calculated from Eq . .…”

Section: Dqmmentioning

confidence: 99%

“…In another work by Ghorbanpour Arani et al , nonlinear vibration of a nanobeam (NB) coupled with a piezoelectric nanobeam (PNB) was investigated in this article based on the strain gradient theory. Recently, control and analyze of the nonlinear dynamic stability of SLGSs integrated with zinc oxide (ZnO) actuators and sensors were investigated by Ghorbanpour Arani et al considering refined zigzag theory, surface effects, and viscoelastic property of structure.…”

Section: Introductionmentioning

confidence: 99%

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Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

2016

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In the present work, nonlinear vibration analysis of polymeric nanocomposite microplates integrated with polyvinylidene fluoride (PVDF) layers as sensors and actuators is investigated. The middle layer is reinforced with carbon nanotubes (CNTs) and it's equivalent material properties are obtained by Mori–Tanaka approach. The nanocomposite and PVDF layers are subjected, respectively, to 2D magnetic and 3D electric fields. The system is rested on an elastic medium which is simulated with orthotropic Pasternak foundation. Based on the quasi‐3D sinusoidal shear deformation plate theory (SSDPT), the motion equations are derived considering surface effects using Gurtin–Murdoch theory. A partial‐differential (PD) controller is applied for the active control of the frequency through a closed‐loop control with bonded distributed PVDF sensors and actuators. Differential quadrature method (DQM) is applied in order to obtain the nonlinear frequency of microstructure. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, magnetic field, surface stress, elastic medium, volume percent of CNTs, applied voltage, controller, and boundary conditions on the vibration behavior of microstructure. Results depict that applying the controller, the frequency significantly decreases. This investigation may be important for the design and smart control of microdevices. POLYM. COMPOS., 39:1936–1949, 2018. © 2016 Society of Plastics Engineers

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Nonlinear vibration analysis of viscoelastic micro nano-composite sandwich plates integrated with sensor and actuator

2016

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Visco-surface-nonlocal piezoelasticity effects on nonlinear dynamic stability of graphene sheets integrated with ZnO sensors and actuators using refined zigzag theory

Cited by 51 publications

References 38 publications

Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes

Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

Nonlinear vibration analysis of viscoelastic micro nano-composite sandwich plates integrated with sensor and actuator

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