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

Arani, A. Ghorbanpour; Roudbari, Mir Abbas; Amir, Saeed

doi:10.1016/j.apm.2015.09.055

Cited by 39 publications

(19 citation statements)

References 52 publications

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“…For the transverse vibration of the nanostructure under a distributed pressure and thermal interaction with the surrounding polymer elastic medium, the equation of motion (17) takes the following form…”

Section: Euler Bernoulli Beam Theory (Ebt) Based On Nonlocal Relationsmentioning

confidence: 99%

“…Li et al [16] applied a nonlocal strain gradient theory to study the wave propagation in viscoelastic single-walled CNTs under a magnetic field, while checking for the sensitivity of the response to the surface properties and damping parameters. Arani et al [17] discussed the longitudinal magnetic field effect on the wave propagation of fluid-conveyed SWCNTs using the Knudsen number and surface considerations. Zhang et al [18] investigated the vibration of horn-shaped SWC-NTs embedded in a viscoelastic medium under a longitudinal magnetic field.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Selvamani

Jayan²,

Dimitri

et al. 2020

Curved and Layered Structures

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The present paper aims at studying the nonlinear ultrasonic waves in a magneto-thermo-elastic armchair single-walled (SW) carbon nanotube (CNT) with mass sensors resting on a polymer substrate. The analytical formulation accounts for small scale effects based on the Eringen’s nonlocal elasticity theory. The mathematical model and its differential equations are solved theoretically in terms of dimensionless frequencies while assuming a nonlinear Winkler-Pasternak-type foundation. The solution is obtained by means of ultrasonic wave dispersion relations. A parametric work is carried out to check for the effect of the nonlocal scaling parameter, together with the magneto-mechanical loadings, the foundation parameters, the attached mass, boundary conditions and geometries, on the dimensionless frequency of nanotubes. The sensitivity of the mechanical response of nanotubes investigated herein, could be of great interest for design purposes in nano-engineering systems and devices.

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Section: Euler Bernoulli Beam Theory (Ebt) Based On Nonlocal Relationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Selvamani

Jayan²,

Dimitri

et al. 2020

Curved and Layered Structures

View full text Add to dashboard Cite

show abstract

“…By combining Eqs. (7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17), the final equation of motion for controlled SWCNT system modeled as Rayleigh beam can be obtained as follows:…”

Section: Preliminary Formulationsmentioning

confidence: 99%

“…After the discovery of carbon nanotubes (CNTs) [1], impressive findings in the progression of the general knowledge and technology of nano-sized dimension materials have been exhibited. It is interesting to note that the superior thermally magnetically electrically mechanically (physically) properties of the nanotubes are radically pertinent to their fantastic geometrical, physical and chemical structures, in which the mechanical responses of such nano-sized structures were theoretically and experimentally reported by nano-scientists [2][3][4][5][6][7][8]. Moreover, it is remarkable to say that for the sake of convenient inner surface and the flexibility of nanotubes the movement of nano-sized materials such as nano-fluid or nanoparticle can be considerable [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Vibrational control scrutiny of physically affected SWCNT acted upon by a moving nanoparticle in the framework of nonlocal–strain gradient theory

Roudbari

Jorshari

2018

J Braz. Soc. Mech. Sci. Eng.

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The possibility of moving drug materials into the intelligent nano-materials such as nanotubes such as set of DNA or RNA molecules to change the behavior of cells is an important problem in the nano-medicine science. This paper deals with vibrational control of magnetically thermally affected single-walled carbon nanotube (SWCNT) under a moving nanoparticle using the nonlocal-strain gradient theory based on the Rayleigh beam model. The elastic medium is modeled as Pasternak substrate. A gain matrix with time-varying behaviors and displacement-velocity feedback in the framework of linear classical optimal control procedure is used to suppress the vibration responses of the SWCNT. Hamilton, Galerkin and Newmark time integration principles are jointly utilized to ascertain the equations of motion. The influences of the nonlocal and material length-scale parameters, the velocity of nanoparticle and physical fields on the vibration behavior of the SWCNT are explored. Likewise, a specified control algorithm in suppressing the vibrational behavior of SWCNT under the effect of moving nanoparticle is examined.

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“…For more explanation of this model, we consider the material of the electro-magneto-elastic rod is BaTiO 3 -CoFe 2 O 4 with a different values of BaTiO 3 in rod radius equal 0.05 m. The fraction volume of the mixture effects on the material properties of the composite. For more details, you see [25][26][27][28][29][30]. Many analytical traveling wave solutions are applied to this model for obtaining the exact and solitary wave solutions.…”

Section: Introductionmentioning

confidence: 99%

Analytical and semi-analytical wave solutions for longitudinal wave equation via modified auxiliary equation method and Adomian decomposition method

et al. 2019

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Original scientific paper https://doi.org/10.2298/TSCI190221355A This paper studies the analytical and semi-analytical wave solutions for the longitudinal wave equation. Moreover, it examines the performance of the modified auxiliary equation method and Adomian decomposition method on this model. This model describes the dispersion in the circular rod that dispersion caused by the transverse Poisson's effect in electro-magneto-elastic. Many explicit wave solutions are found by using the analytical technique. These solutions allow studying the physical properties of this model. The comparison between the analytical and semi-analytical solutions is discussed to show the value of the absolute error between them.

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

Cited by 39 publications

References 52 publications

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Nonlinear magneto-thermo-elastic vibration of mass sensor armchair carbon nanotube resting on an elastic substrate

Vibrational control scrutiny of physically affected SWCNT acted upon by a moving nanoparticle in the framework of nonlocal–strain gradient theory

Analytical and semi-analytical wave solutions for longitudinal wave equation via modified auxiliary equation method and Adomian decomposition method

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