Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories

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

doi:10.1007/s11012-014-0096-6

Cited by 34 publications

(8 citation statements)

References 84 publications

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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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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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“…Substituting A k into equation (18) and separating the real and imaginary parts, the amplitude a k and phase k of the response are given as the following polar form of modulation equations…”

Section: Nanobeam Nonlinear Vibration Modelmentioning

confidence: 99%

“…The nonlocal theory and Timoshenko beam theory were used to investigate the nonlinear vibration of the piezoelectric nanobeams subjected to an applied voltage. 16,17 Pourseifi et al 18 used a linear classical optimal control algorithm with a time-varying gain matrix and displacement-velocity feedback in order to suppress the vibration of nanotube structure. Maccari 19 dealt with the vibration control of a cantilever beam considered the primary resonance under the state feedback control with a time delay and concluded that the appropriate time delay and feedback gains can perform the vibration control and amplitude suppression.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam

Gong

Liu

et al. 2017

Journal of Low Frequency Noise, Vibration and Active Control

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The model of a clamped-clamped Euler-Bernoulli beam is presented in order to study nonlinear vibration control of electrostatically actuated nanobeam with nanocapacitive sensor, considering primary and superharmonic resonances. The capacitance of nanobeam capacitor changes with the nanobeam deformation. The nanocapacitive sensor is applied to extract vibration signals and to transform enlarged signals into controller to control nanobeam vibrations. The method of multiple scales is used to obtain the first-order approximate solutions and derive the amplitude-frequency equation. The nonlinear vibration characteristics and amplitude-frequency response of nanobeam vibration system are studied under different excitation voltage, feedback gains, and damping. The relationships between amplitude and system parameters are discussed in detail. The presented analytical and numerical simulations show that dynamic response of nanobeam is stable when the appropriate parameters are chosen. This investigation provides a better understanding of the nonlinear vibration of nanoelectromechanical systems devices based on nanobeam.

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“…Effect of aspect ratio and chirality of carbon nanotube on the values of ratio b in the fundamental mode and the scale coefficient (e 0 a = 2 nm). 57 Pourseifi et al 65 actively controlled the vibrations of CNTRs under the action of a moving nanoscale particle using nonlocal Rayleigh beam theory. They considered the following form for the applied force…”

Section: Nonlocal Rayleigh Beam Theorymentioning

confidence: 99%

“…It is actually beyond the scope of this review article to focus on them. Model presented in equations (65) and (66) was then modified by Wang 99 using nonlocal theory to investigate the effect of small length on its vibrations. The mathematical formulation of his model is as follows…”

Section: Developed Mathematical Modelmentioning

confidence: 99%

Nonlocal effect in carbon nanotube resonators: A comprehensive review

Argani

Younesian

Esmailzadeh

et al. 2017

Advances in Mechanical Engineering

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This article provides a comprehensive review about the use of nonlocal theory in modeling of the vibrations of the carbon nanotube resonators. It is fully described how the nonlocal effect has been exploited by researchers to mathematically model vibrations of carbon nanotube resonators. Fusion of different classical beam theories with nonlocal theory is discussed. Also, the article presents the combination of nonlocal models with different physical phenomena which have influence in the vibrations of carbon nanotube resonators.

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Active vibration control of nanotube structures under a moving nanoparticle based on the nonlocal continuum theories

Cited by 34 publications

References 84 publications

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

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

Nonlinear vibration control with nanocapacitive sensor for electrostatically actuated nanobeam

Nonlocal effect in carbon nanotube resonators: A comprehensive review

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