Wave propagation of fluid-conveying single-walled carbon nanotubes via gradient elasticity theory

Wang, Lin

doi:10.1016/j.commatsci.2010.06.019

Cited by 96 publications

(34 citation statements)

References 37 publications

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“…The frequency value for the Timoshenko beam at different fluid flow velocities is analyzed by Ye-Wei Zhang [60]. Wave propagation of fluid-conveying singlewalled carbon nanotubes via gradient elasticity theory has been studied by Wang [61].…”

Section: Frequency Variations Of Wave Propagation In Various Fluid Vementioning

confidence: 99%

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Filiz

Aydoğdu

2015

Composite Structures

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Section: Frequency Variations Of Wave Propagation In Various Fluid Vementioning

confidence: 99%

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Filiz

Aydoğdu

2015

Composite Structures

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“…Indeed, instead of the viscosity, the effective viscosity is replaced which is considered as Eqs. (8)(9)(10)(11)(12). U , W and T are strain energy, work done by applied load and kinetic energy, respectively.…”

Section: Nonlocal Governing Equation Of Motionmentioning

confidence: 99%

“…Todays, many investigations have been carried out on the vibration and wave propagation of the nanotubes with and without conveying fluid [6][7][8]. However, limited studies have been reported in the literature on nonlocal wave propagation of embedded fluid-conveying nanotubes subjected to longitudinal magnetic field using Knudsen number and surface effect.…”

Section: Introductionmentioning

confidence: 99%

Longitudinal magnetic field effect on wave propagation of fluid-conveyed SWCNT using Knudsen number and surface considerations

Arani

Roudbari

Amir

2016

Applied Mathematical Modelling

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“…Consequently, nonlocal theory has been employed extensively in investigating the vibration, wave propagation, and buckling properties of carbon nanotubes and graphene nanoplates [31][32][33][34]. On the other hand, there are some literatures to study the nonlinear dynamics and homoclinic phenomena of macroscopical structures [35,36].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal effect on the nonlinear dynamic characteristics of buckled parametric double-layered nanoplates

Wang

2016

Nonlinear Dyn

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The homoclinic phenomena in doublelayered nanoplates (DLNP) are investigated. Based on the nonlocal continuum theory, the nonlinear dynamical equations for DLNP subjected to in-plane excitation are derived by double-mode Galerkin truncation. The extended Melnikov method is utilized to discuss the homoclinic phenomena and chaotic motion for the buckled DLNP system. The criterions for the existence of transverse homoclinic orbits are established under different four buckling cases (i.e., the first-and second-type synchronous buckling as well as asynchronous buckling). And the results derived by the abovementioned analysis are verified by molecular dynamics and Lyapunov exponent spectrum. Small-scale effect on the homoclinic motion is mainly inspected. From the result, it is rather novel that the transversality condition is independent of the nonlinear terms in the equations. This fact means that it is not necessary to distinguish whether the boundaries are movable or immovable for the in-plane parametric excitation DLNP. The parametric regime where homoclinic phenomena appear shrinks with the augment of nonlocal parameter for the first-type synchronous buckling case. However, this trend is just opposite for the other three buckling cases.Finally, it can be seen that homoclinic phenomena more likely occur on Mode I (i.e., lower mode) for the second-type synchronous and asynchronous buckling cases. However, the homoclinic motion for the firsttype asynchronous buckling most likely takes place on Mode III.

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Wave propagation of fluid-conveying single-walled carbon nanotubes via gradient elasticity theory

Cited by 96 publications

References 37 publications

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Wave propagation analysis of embedded (coupled) functionally graded nanotubes conveying fluid

Longitudinal magnetic field effect on wave propagation of fluid-conveyed SWCNT using Knudsen number and surface considerations

Nonlocal effect on the nonlinear dynamic characteristics of buckled parametric double-layered nanoplates

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