Modeling and active vibration suppression of a single-walled carbon nanotube subjected to a moving harmonic load based on a nonlocal elasticity theory

Pirmohammadi, A. A.; Pourseifi, Mehdi; Rahmani, O.; Hoseini, S. A. H.

doi:10.1007/s00339-014-8592-z

Cited by 28 publications

(7 citation statements)

References 30 publications

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“…Due to wide applications of nanobeams in engineering, such as nanowires, nanoprobes, atomic force microscope (AFM), and nanosensors, they have attracted a lot of consideration [11][12][13]. Hence, many investigations have been carried out about buckling, vibration, noise control and bending of nanobeams [14][15][16][17][18]. However, direct employ of classical continuum theory in nanostructures leads to wrong results in predicting their mechanical behavior because the classical theory cannot capture the size effects.…”

Section: Introductionmentioning

confidence: 99%

On the buckling behavior of piezoelectric nanobeams: An exact solution

Jandaghian

Rahmani

2015

J Mech Sci Technol

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In this paper, thermoelectric-mechanical buckling behavior of the piezoelectric nanobeams is investigated based on the nonlocal theory and Euler-Bernoulli beam theory. The electric potential is assumed linear through the thickness of the nanobeam and the governing equations are derived by Hamilton's principle. The governing equations are solved analytically for different boundary conditions. The effects of the nonlocal parameter, temperature change, and external electric voltage on the critical buckling load of the piezoelectric nanobeams are discussed in detail. This study should be useful for the design of piezoelectric nanodevices.

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Section: Introductionmentioning

confidence: 99%

On the buckling behavior of piezoelectric nanobeams: An exact solution

Jandaghian

Rahmani

2015

J Mech Sci Technol

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“…5. The suggested weighting matrices R and Q in this figure are considered as follows [61,62]: It is obvious from this figure that the suggested weighting matrices are suitable to control the maximum normalized dynamic deflection of nanotube in three cases of elastic medium. The subplots can be divided into two parts which are forced and free vibration of SWCNT.…”

Section: Numerical Studiesmentioning

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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“…Eringen [5] improved that the stress of a reference point of the body depends on the strain of other adjacent points of this body. The non-local elasticity is expressed as: (11) By applying the constituve theory of Eringen, we obtain: (12) The transverse deflection law is defined as: (13) We define the follwing demonsionless paramaters:…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…Various studies in the literature carried out the free vibration of single-walled carbon nanotubes embedded in elastic medium [11,12], SWCNT's with waviness [13], CNT's conveying fluids [14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Free vibration modelling of Single-walled Carbon Nanotubes using the Differential Quadrature Method

Belhadj¹

2017

MMEP

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Carbon nanotubes (CNT's) has revolutionized the world of nanotechnology by their exceptional proprieties, which make them the core of many applications in several fields, many studies has been done to investigate their mechanical proprieties since their discovery. In this paper, the free vibration of a single walled carbon nanotube is studied in an elastic environment based on the theory of non-local elasticity and discretized by differential quadrature method (DQM); the effect of the surrounding medium on fundamental frequencies is discussed.

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Modeling and active vibration suppression of a single-walled carbon nanotube subjected to a moving harmonic load based on a nonlocal elasticity theory

Cited by 28 publications

References 30 publications

On the buckling behavior of piezoelectric nanobeams: An exact solution

On the buckling behavior of piezoelectric nanobeams: An exact solution

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

Free vibration modelling of Single-walled Carbon Nanotubes using the Differential Quadrature Method

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