Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Ghayesh, Mergen H.; Farokhi, Hamed; Farajpour, Ali

doi:10.1016/j.apm.2019.04.053

Cited by 31 publications

(1 citation statement)

References 81 publications

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“…They concluded that the stiffness-hardening effect is underestimated in NSGT without the thickness effect, and the stiffnesshardening and stiffness-softening effects of NSGT with the thickness effect can be not only length-dependent but also thickness-dependent. Through a nonlinear analysis, the effect of a geometric imperfection on the chaotic response of fluid-conveying nanotubes was studied by Ghayesh et al [29]. They modeled the nanotubes based on NSGT, incorporated the effects of relative motion between the nanofluid and nanotube using Karniadakis-Beskok assumptions and studied the effect of geometric imperfection on the motion response.…”

Section: Introductionmentioning

confidence: 99%

A comprehensive study for mechanical behavior of functionally graded porous nanobeams resting on elastic foundation

Enayat

Hashemian

Toghraie

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a comprehensive study is presented for mechanical analysis of functionally graded porous (FGP) nanobeams resting on an elastic foundation. The nanobeam is modeled according to different beam theories along with nonlocal strain gradient theory and Gurtin-Murdoch surface elasticity theory. Using Hamilton's principle, the set of governing equations are derived, and exact solutions are presented using Navier's method for the static bending, mechanical buckling and free vibration analyses of simply supported FGP nanobeams. The effects of various parameters on static deflection, critical buckling load and fundamental natural frequency of FGP nanobeams are studied. It is shown that for all types of porosity distribution patterns, an increase in porosity parameter leads to an increase in static deflection, and a decrease in critical buckling load and effect of porosity parameter on fundamental natural frequency is dependent on the porosity distribution pattern. Numerical results confirm that tensional residual surface stress decreases static deflection and increases both critical buckling load and fundamental natural frequency, but compressive residual surface stress has opposite effects.

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Section: Introductionmentioning

confidence: 99%

A comprehensive study for mechanical behavior of functionally graded porous nanobeams resting on elastic foundation

Enayat

Hashemian

Toghraie

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Vibration analysis of shell‐like curved carbon nanotubes using nonlocal strain gradient theory

Zare

Shateri

Beni

et al. 2020

Math Methods in App Sciences

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The performance of nanotube‐based resonators is significantly affected by the variation of their natural frequencies. In reality, nanotubes may have some levels of initial imperfection, which definitely changes their vibrational characteristics. In the present article, the vibrational behavior of initially curved nanotubes is investigated on the basis of thin shell theory incorporating the nonlocal strain gradient theory. The three‐dimensional governing equations of motion are derived by adopting the curvilinear coordinate system through Hamilton's principle. A new formulation of Eringen's model containing the higher‐order strain gradients is employed to capture the effects of nonlocality and small scale parameter. Galerkin decomposition method is employed to acquire a bi‐cubic relation for the natural frequency of the considered nanoshell. The effects of different parameters like the ratio of radius of curvature to the cross section radius, small scale and nonlocality, and length‐to‐radius ratio on the variation of the natural frequency are presented. Excellent agreements are found in some comparative studies between the results of this work and those obtained by molecular dynamics and experimental findings in the literature. Finally, some interesting results are found by plotting the variation of natural frequency of the system versus the length‐to‐radius ratio. It is exhibited that by increasing the ratio L/r, the natural frequencies associated with different values of wavenumber m converge to the lower one and the convergence speed is highly dependent to the circumferential wavenumber n.

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Nanostructure‐dependent dispersion of carbon nanostructures: New insights into the modified couple stress theory

Khorshidi

Soltani

2020

Math Methods in App Sciences

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This paper presents a size‐dependent analysis of carbon nanostructures to put forward some new insights into the conventional modified couple stress theory. In fact, a micro‐inertia length scale parameter is added to the equation of motion to compensate the deficiency of the theory in describing the size effect of the longitudinal dispersion. In this study, the longitudinal dispersions of carbon nanotubes, graphene, and graphite layers are investigated to obtain the micro‐inertia length scale parameter, and the flexural dispersions of carbon nanotubes and graphene layer are assessed to expose the size dependency of the couple‐stress length scale parameter. The results indicate that the micro‐inertia length scale parameter can directly be related to the lattice size, while the couple‐stress length scale parameter depends on some more factors like geometry, size, and material properties. Finally, some general relations are proposed for the first time to make a connection between these two distinct parameters and other features.

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Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Cited by 31 publications

References 81 publications

A comprehensive study for mechanical behavior of functionally graded porous nanobeams resting on elastic foundation

A comprehensive study for mechanical behavior of functionally graded porous nanobeams resting on elastic foundation

Vibration analysis of shell‐like curved carbon nanotubes using nonlocal strain gradient theory

Nanostructure‐dependent dispersion of carbon nanostructures: New insights into the modified couple stress theory

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