Vibrational analysis of curved single-walled carbon nanotube on a Pasternak elastic foundation

Mehdipour, Iman; Barari, Amin; Kimiaeifar, Amin; Domairry, G.

doi:10.1016/j.advengsoft.2012.01.004

Cited by 35 publications

(18 citation statements)

References 37 publications

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“…Dynamic analysis of nanotubes on elastic matrix was conducted by Wang [25]. Dynamics of curved SWCNT on a Pasternak elastic foundation was examined [26]. Aydogdu and Arda [27] researched the torsional dynamics of nonlocal DWCNTs.…”

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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“…Numerous opportunities and possibilities have been opened to create a new generation of materials and structures that possess unique physical properties [To, 2006]. The study of these nanostructures is one of the most promising domains in the areas of physics, mechanics, chemistry, and material science [Mehdipour et al, 2012]. Several investigations have been conducted to find and improve the properties of CNTs.…”

Section: Introductionmentioning

confidence: 99%

On the Influence of Atomic Modifications on the Structural Stability of Carbon Nanotube Hybrids: Numerical Investigation

Yengejeh

Kazemi

Öchsner

2014

Int. J. Appl. Mechanics

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Connected carbon nanotubes (CNTs) with parallel longitudinal axes and with bending angles were simulated by a commercial finite element package and their buckling behavior was investigated by performing several computational examinations. In addition, the effect of defects on the structural stability of these heterojunctions was analyzed. For this purpose, two different nanotube hybrids (straight and kink heterojunction) were constructed in their perfect forms. In the second phase, three most likely atomic defects, i.e., impurities (doping with Si atoms), vacant sites (carbon vacancy) and introduced perturbations of the ideal geometry in different amounts to the perfect models, were simulated. To conclude our study, the buckling behavior of imperfect heterojunctions was numerically evaluated and compared with the behavior of the perfect ones. It was concluded that the existence of any type of defects in the configuration of nanotube hybrids leads to a lower critical load and as a result, lower buckling properties. This study provides a better insight into the prediction of straight and kink heterojunction CNTs behavior.

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“…Study of the CNTs is one of the most promising domains in the area of physics, mechanics, chemistry, and material science [3]. The application of CNTs lies within a wide range, including nanocomposites, nanodevices, and nanoelectronics [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

On the Buckling Behavior of Curved Carbon Nanotubes

Yengejeh

Kazemi

Öchsner

2015

Mechanical and Materials Engineering of Modern Structure and Component Design

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In this study, numerous armchair and zigzag single-walled carbon nanotubes (SWCNTs) were simulated by a commercial finite element package and their buckling behavior was investigated through performing several computational tests with cantilevered boundary conditions and different bending angles. Both computational and analytical results were compared in the case of straight tubes. It was pointed out that the computational results are in good agreement with the analytical calculations. It was also concluded that the first critical buckling load of both straight armchair and zigzag CNTs increases by increasing the chiral number. In addition, it was indicated that the first critical buckling load of straight CNTs decreases by introducing the bending angle to the structure of CNTs. However, this decrease is more noticeable in the case of armchair and zigzag CNTs with higher number of chirality and it is almost negligible for CNTs with lower number of chirality.

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Vibrational analysis of curved single-walled carbon nanotube on a Pasternak elastic foundation

Cited by 35 publications

References 37 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 the Influence of Atomic Modifications on the Structural Stability of Carbon Nanotube Hybrids: Numerical Investigation

On the Buckling Behavior of Curved Carbon Nanotubes

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