Torsional vibration analysis of double walled carbon nanotubes using nonlocal elasticity

Aydoğdu, Metin; Arda, Mustafa

doi:10.1007/s10999-014-9292-8

Cited by 47 publications

(14 citation statements)

References 34 publications

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“…Dynamics of curved SWCNT on a Pasternak elastic foundation was examined [26]. Aydogdu and Arda [27] researched the torsional dynamics of nonlocal DWCNTs. Necla [28] studied the nonlinear vibration of a nonlocal nanobeam resting on a Winkler-type foundation.…”

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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“…In another study, nonlinear instability of hydrostatic pressurized hybrid FGM nanoshell was studied by Sahmani and Aghdam [76] using nonlocal elasticity theory. By considering nonlocal elasticity theory, Aydogdu and Arda [77] investigated the torsional vibration of doublewalled carbon nanotubes.…”

Section: Introductionmentioning

confidence: 99%

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Karami

Janghorban

Tounsi

2019

J Braz. Soc. Mech. Sci. Eng.

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Elastic bulk wave characteristics of doubly curved nanoshell made of functionally graded (FG) anisotropic material are studied. The effective properties of FG anisotropic material vary along the thickness direction. A higher-order shear deformation shell theory and the Bi-Helmholtz nonlocal strain gradient theory are, respectively, utilized to model the nanoshell as a continuum model and predicting the size-dependent behavior. The Hamiltonian principle is adopted to obtain the governing equations of wave motion. These equations are solved analytically to evaluate the wave characteristics of the nanoshell. Emphasizing the effect of parametric excitation, the influences of small-scale parameters, exponential factor, magnetic field intensity, initial stress, elastic foundation parameters, and wave number are assessed on the wave dispersion response of FG anisotropic nanoshell.

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“…Mustapha and Zhong [17] studied dynamic of non−prismatic SWCNT in viscoelastic medium, Lee and Chang [18] studied dynamic of a viscous−fluid conveying SWCNT, Kiani [19,20] examined elastically restrained DWCNT and SWCNT for delivering nanoparticules, instability analysis of CNT conveying fluid is conducted [21], Yas and Samadi [22] examined CNT−reinforced composite on elastic medium , small scale effect in nonuniform CNT conveying fluid on viscoelastic medium is examined [23], Aydoglu [24] analysed nanorods on an elastic medium, dynamic analysis of nanotubes on elastic matrix is conducted by Wang [25], dynamic of curved SWCNT on a Pasternak elastic foundation is examined [26] . Aydogdu and Arda [27] researched the torsional dynamic of nonlocal DWCNTs. Necla [28] studied nonlinear vibration of a nonlocal nanobeam resting on Winkler-type foundation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of a nonlocal nanobeam resting on fractional order viscoelastic pasternak foundations

Eyebe¹,

Betchewe²,

Mohamadou³

et al. 2018

Preprint

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In the present study, nonlinear vibration of a nanobeam resting on fractional order viscoelastic Winkler-Pasternak foundaion is studied using nonlocal elasticity theory. 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. Detailled parametric study is conducted, the effects of variation in 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 significant effect on the natural frequency and the amplitude of vibrations

show abstract

Torsional vibration analysis of double walled carbon nanotubes using nonlocal elasticity

Cited by 47 publications

References 34 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

On pre-stressed functionally graded anisotropic nanoshell in magnetic field

Nonlinear vibration of a nonlocal nanobeam resting on fractional order viscoelastic pasternak foundations

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