Vibration analysis of a viscous-fluid-conveying single-walled carbon nanotube embedded in an elastic medium

Lee, Haw-Long; Chang, Win−Jin

doi:10.1016/j.physe.2008.10.002

Cited by 117 publications

(54 citation statements)

References 14 publications

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“…Mustapha and Zhong [17] studied the dynamics of non-prismatic SWCNT in a viscoelastic medium. Lee and Chang [18] studied the dynamics of a viscous fluid conveying SWCNT. Kiani [19,20] examined elastically-restrained double-walled carbon nanotube (DWCNT) and SWCNT for delivering nanoparticles.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

et al. 2018

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Abstract:In the present study, the nonlinear vibration of a nanobeam resting on the fractional order viscoelastic Winkler-Pasternak foundation is studied using nonlocal elasticity theory. The D'Alembert principle is used to derive the governing equation and the associated boundary conditions. The approximate analytical solution is obtained by applying the multiple scales method. A detailed parametric study is conducted, and the effects of the variation of different parameters belonging to the application problems on the system are calculated numerically and depicted. We remark that the order and the coefficient of the fractional derivative have a significant effect on the natural frequency and the amplitude of vibrations.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

et al. 2018

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“…To date, there exist a large body of researches on nonlocal dynamics of nanoscale structures (i.e., rod-like, beam-like, plate-like, and shell-like nanostructures) including free vibration [18][19][20][21][22][23][24], forced vibrations [25][26][27], and nonlinear vibrations [28][29][30][31]. Further, vibrations of fluids-conveying SWCNTs has been widely researched by the NCT of Eringen from various aspects including free transverse vibration and dynamic instability [32][33][34][35][36] as well as longitudinal and transverse forced vibrations [37,38]. In most of these works, the dynamical bending response of nanofluid-conveying CNTs -the most crucial deformation of such loaded nanostructures -has been modeled using nonlocal beam theories.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Timoshenko Beam for Vibrations of Magnetically Affected Inclined Single-Walled Carbon Nanotubes as Nanofluidic Conveyors

Kiani

2017

Acta Phys. Pol. A

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This work displays both longitudinal and transverse vibrations of magnetically affected inclined single-walled carbon nanotubes for conveying fluid flow. By employing an equivalent continuum structure on the basis of the nonlocal Timoshenko beam model as well as plug-like model for the nanofluidic flow inside the pore, the nonlocal governing equations are obtained accounting for nonlocality, frictionless nature of the inside wall, the Knudsen number, and full longitudinal and transverse interactions of the fluid flow with the single-walled carbon nanotubes. By implementing Galerkin-based assumed mode method, the equations of motion are discretized appropriately and then solved for the unknown dynamical deformation fields. The roles of nanofluidic flow velocity, small-scale parameter, inclination angle of single-walled carbon nanotube, and magnetic field strength on maximum values of longitudinal and transverse displacements are explained and discussed. The results show that the maximum dynamic deflection of the inclined nanotube would lessen by increase of the magnetic field strength. This fact is also more apparent for higher levels of fluid flow velocity. Additionally, variation of the longitudinal magnetic field has a trivial influence on the variation of longitudinal displacement. The predicted results reveal that application of the longitudinal magnetic field could be used as an efficient methodology to reduce the lateral vibrations of single-walled carbon nanotubes as nanofluidic conveyors.

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“…Lee and Chang [22] analyzed the vibration of fluid-filled SWCNTs embedded in an elastic medium by using the Winkler -type model. Pradhan and Murmu [23] used nonlocal beam theory and Winkler foundation model for vibration analysis of beam surrounded by elastic medium.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear free vibration analysis of elastically supported carbon nanotube-reinforced composite beam with the thermal environment in non-deterministic framework

Chaudhari¹,

Shegokar²,

Lal

2017

Curved and Layered Structures

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This paper deals with the investigation of nonlinear free vibration behavior of elastically supported carbon nanotube reinforced composite (CNTRC) beam subjected to thermal loading with random system properties. Material properties of each constituent's material, volume fraction exponent and foundation parameters are considered as uncorrelated Gaussian random input variables. The beam is supported by a Pasternak foundation with Winkler cubic nonlinearity. The higher order shear deformation theory (HSDT) with von-Karman nonlinearity is used to formulate the governing equation using Hamilton principle. Convergence and validation study is carried out through the comparison with the available results in the literature for authenticity and accuracy of the present approach used in the analysis. First order perturbation technique (FOPT),Second order perturbation technique (SOPT) and Monte Carlo simulation (MCS) methods are employed to investigate the effect of geometric configuration, volume fraction exponent, foundation parameters, distribution of reinforcement and thermal loading on nonlinear vibration characteristics CNTRC beam.The present work signifies the accurate analysis of vibrational behaviour influences by different random variables. Results are presented in terms of mean, variance (COV) and probability density function (PDF) for various aforementioned parameters.

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Vibration analysis of a viscous-fluid-conveying single-walled carbon nanotube embedded in an elastic medium

Cited by 117 publications

References 14 publications

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

Nonlinear Vibration of a Nonlocal Nanobeam Resting on Fractional-Order Viscoelastic Pasternak Foundations

Nonlocal Timoshenko Beam for Vibrations of Magnetically Affected Inclined Single-Walled Carbon Nanotubes as Nanofluidic Conveyors

Nonlinear free vibration analysis of elastically supported carbon nanotube-reinforced composite beam with the thermal environment in non-deterministic framework

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