Semi-analytical investigation on dynamic response of viscoelastic single-walled carbon nanotube in nanoparticle delivery

Rezapour, B.; Araghi, Mohammad Ali Fariborzi

doi:10.1007/s40430-019-1590-5

Cited by 5 publications

(2 citation statements)

References 32 publications

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“…Analytical results showed that the vibration frequency of the carbon chain in a (5,5) CNT could be around two orders of magnitude higher than that of an independent carbon chain without initial tensile force. Rezapour and Araghi [ 3 ] considered the effects of inertia and Coriolis forces due to nanoparticle movement and viscoelastic behavior of single-walled carbon nanotubes (SWCNTs) is established by the Kelvin–Voigt viscoelastic model. The dynamic amplitude was found in this study almost 30% higher than the corresponding value obtained from the moving load model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Double-Walled Carbon Nanotubes Subjected to Mechanical Impact and Embedded on Winkler–Pasternak Foundation

Herişanu

Marinca

2022

Materials

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This study was devoted to an investigation on the dynamics of double-walled carbon nanotubes (DWCNTs) under the influence of Winkler–Pasternak foundation near the primary resonance. Two Euler–Bernoulli beams embedded on nonlinear foundation, interacting through van der Waals forces, subjected to mechanical impact are considered. By means of Hamilton’s principle, Eringen’s nonlocal elastic theory, and taking into account the moving nanoparticles, the Galerkin–Bubnov method is applied and accordingly, governing partial differential equations are reduced to two differential equations with variable coefficients. The nonlinear damped and forced vibration is studied using the optimal auxiliary functions method (OAFM). An explicit and very accurate analytical solution is obtained by means of OAFM without considering simplifying hypotheses. An accurate analysis is for the first time reported considering the cumulated effects of nonlinearities simultaneously induced by the Winkler–Pasternak foundation, the curvature of beams and van der Waals force, and also the effect of discontinuities marked by the presence of the Dirac function. Finally, a stability analysis of the considered model is developed by means of the homotopy perturbation method (HPM) using the condition of existence of the two frequencies. It was shown that an increasing of some constitutive parameters substantially reduces the area of stability, all these being of much help in guiding the design of advanced nanoelectromechanical devices, in which nanotubes act as basic elements.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of Double-Walled Carbon Nanotubes Subjected to Mechanical Impact and Embedded on Winkler–Pasternak Foundation

Herişanu

Marinca

2022

Materials

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“…Ghavanloo et al (2010) studied the vibration behavior of nanotubes and nanosheets affected by moving mass. Rezapour and Fariborzi Araghi (2019b), after considering the interaction between moving nanoparticle and the wall of the nanotube, have numerically studied the forced vibration of nanotubes with a moving nanoparticle. In another work, the dynamic behavior of single-walled CNTs delivering a nanoparticle with constant velocity is investigated subject to various boundary conditions by Rezapour and Fariborzi Araghi (2019a).…”

Section: Introductionmentioning

confidence: 99%

Application of homotopy perturbation method for dynamic analysis of nanotubes delivering nanoparticles

Rezapour

Araghi

Vázquez-Leal

2020

Journal of Vibration and Control

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Because of the importance of the analytical study of the vibration behavior of nanotubes delivering nanoparticles, in this study, the transverse vibration of these systems has been studied by analytical approach based on the homotopy perturbation method. The nonlocal Euler–Bernoulli beam theory is used for derivation of the equation of motion. The interaction between nanoparticle and the inner wall of nanotube has been modeled by using van der Waals forces and considering the effects of inertial forces caused by centrifugal and Coriolis acceleration components of nanoparticles. After evaluation of the implemented analytical method by numerical results, it is revealed that the obtained second-order approximation response gives high accurate vibration behavior of these systems for a wide range of parameters. As well, these results show that inertial forces caused by motion of nanoparticle increase vibration amplitude of nanotube and change nonlinear frequency of the system.

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Differences between stress-driven nonlocal integral model and Eringen differential model in the vibrations analysis of carbon nanotubes conveying magnetic nanoflow

Mahmoudpour

2021

J Braz. Soc. Mech. Sci. Eng.

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Semi-analytical investigation on dynamic response of viscoelastic single-walled carbon nanotube in nanoparticle delivery

Cited by 5 publications

References 32 publications

Nonlinear Vibration of Double-Walled Carbon Nanotubes Subjected to Mechanical Impact and Embedded on Winkler–Pasternak Foundation

Nonlinear Vibration of Double-Walled Carbon Nanotubes Subjected to Mechanical Impact and Embedded on Winkler–Pasternak Foundation

Application of homotopy perturbation method for dynamic analysis of nanotubes delivering nanoparticles

Differences between stress-driven nonlocal integral model and Eringen differential model in the vibrations analysis of carbon nanotubes conveying magnetic nanoflow

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