Nonlinear vibration of viscoelastic embedded-DWCNTs integrated with piezoelectric layers-conveying viscous fluid considering surface effects

Fereidoon, Abdolhossein; Andalib, E.; Mirafzal, A.

doi:10.1016/j.physe.2016.03.020

Cited by 32 publications

(8 citation statements)

References 27 publications

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“…Malihi et al (2017) investigated the vdW effect on dynamic pull-in instability voltage. The vibration analysis of a viscoelastic double-walled carbon nanotube subjected to magnetic and electric fields was carried out by Fereidoon et al (2016). Also, the free vibration analysis and nonlinear behavior characterization of piezoelectric double-shell structures were performed by Fang et al (2018) using the surface energy effect.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration and stability analysis of double-walled piezoelectric nanoresonator with nonlinear van der Waals and electrostatic excitation

Kachapi

Daniali

Dardel

et al. 2019

Journal of Vibration and Control

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In this work, nonlinear vibration and frequency response analysis of a double-walled piezoelectric nanoresonator based on a cylindrical nanoshell is performed using the Gurtin–Murdoch surface/interface theory. The piezoelectric nanoresonator is simultaneously subjected to the visco-Pasternak medium and nonlinear van der Waals and electrostatic forces. It is found that the electrostatic and piezoelectric voltages, length to radius ratio, nanoresonator gap width, linear and nonlinear van der Waals coefficients and other parameters can effectively change the flexural rigidity of the system, which in turn affects the nonlinear frequency response. Also, increasing or decreasing of some parameters leads to increase or decrease in the resonance amplitude, resonant frequency, instability of the system, nonlinear behavior and bandwidth.

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Section: Introductionmentioning

confidence: 99%

Nonlinear vibration and stability analysis of double-walled piezoelectric nanoresonator with nonlinear van der Waals and electrostatic excitation

Kachapi

Daniali

Dardel

et al. 2019

Journal of Vibration and Control

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“…(2016) studied wave propagation in a nanotube conveying fluid employing Gurtin–Murdoch continuum elasticity. Nonlocal elasticity theory in conjunction with the surface elasticity and Kelvin–Voigt models was used by Fereidoon et al. (2016) to examine surface stress effects on the nonlinear vibration of viscoelastic DWCNTs conveying fluid.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Hosseini

Bahaadini

Jamali

2016

Journal of Vibration and Control

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In this study, the divergence and flutter instability of a cantilever piezoelectric carbon nanotube (CNT) conveying flowing fluid is investigated by considering surface effects. The size-dependent governing differential equation of a piezoelectric CNT is derived using a Newtonian method based on the Eringen nonlocal elasticity theory and in conjunction with the Euler–Bernoulli beam model. The extended Galerkin method is employed to transform the partial differential equation into a set of ordinary differential equations. The resulting eigenvalue problem is solved numerically to determine the effect of nonlocal parameter, various values of piezoelectric voltage, and surface effects on the divergence and flutter instability of a CNT conveying a fluid. Results show that by increasing the voltage from negative values to positive values, the nondimensional critical velocity of the fluid flow decreases. In addition, it should be noted that the effects of the nonlocal parameter lead to a reduction of the flutter and divergence stability of the CNT. Finally, this research can be used to design fluid-conveying nanodevices based on piezoelectric CNTs.

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“…Eqs. 7- (9) and substituting of the Lagrange-Euler equations, the following reduced-order model of the nonlinear equations of motion are obtained:…”

Section: -3: Solution Proceduresmentioning

confidence: 99%

“…Fakhrabadi et al utilized the modified couple stress theory to investigate the effects of various fluid parameters on pull-in voltages of carbon nanotubes conveying-viscous fluid [8]. Also, vibration analysis of viscoelastic doublewalled carbon nanotube (DWCNT) unified with ZnO layers and subjected to magnetic and electric fields are studied by Fereidoon et al [9]. Recently, Hashemi Kachapi et al presented Gurtin-Murdoch surface/interface theory to investigate linear and nonlinear vibration analysis of piezoelectric nanostructures [10][11][12][13].…”

Section: : Introductionmentioning

confidence: 99%

Vibration analysis and pull-in instability behavior in multi walled piezoelectric nano-sensor with fluid flow conveyance: influences of surface/interface energy

Kachapi¹

2019

Preprint

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In this work, surface/interface effects for pull-in voltage and viscous fluid velocity effects on dimensionless natural frequency (DNF) of fluid-conveying multi walled piezoelectric nanoresonator (FC-MWPENS) based on cylindrical nanoshell is investigated using the Gurtin–Murdoch surface/interface theory. The nano-sensor is embedded in viscoelastic foundation, nonlinear van der Waals and electrostatic forces. Hamilton’s principle is used for deriving of the governing equations and boundary conditions and also the assumed mode method is used for changing the partial differential equations into ordinary differential equation. The influences of the surface/interface effect such as Lame’s constants, residual stress, piezoelectric constants and mass density are considered for analysis of dimensionless natural frequency respect to viscous fluid velocity and pull-in voltage of FC-MWPENS.

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Nonlinear vibration of viscoelastic embedded-DWCNTs integrated with piezoelectric layers-conveying viscous fluid considering surface effects

Cited by 32 publications

References 27 publications

Nonlinear vibration and stability analysis of double-walled piezoelectric nanoresonator with nonlinear van der Waals and electrostatic excitation

Nonlinear vibration and stability analysis of double-walled piezoelectric nanoresonator with nonlinear van der Waals and electrostatic excitation

Nonlocal instability of cantilever piezoelectric carbon nanotubes by considering surface effects subjected to axial flow

Vibration analysis and pull-in instability behavior in multi walled piezoelectric nano-sensor with fluid flow conveyance: influences of surface/interface energy

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