Vibration suppression of a boron nitride nanotube under a moving nanoparticle using a classical optimal control procedure

Jorshari, Tahereh Doroudgar; Roudbari, Mir Abbas; Scerrato, Daria; Kouzani, Abbas Z.

doi:10.1007/s00161-019-00813-y

Cited by 10 publications

(6 citation statements)

References 67 publications

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“…employed various size-dependent methods such as the nonlocal elasticity of Eringen, the strain gradient theory, the modified couple stress model, the micromorphic theory, as well as the nonlocal-stress gradient (as a hybrid model) procedure [10][11][12][13][14][15][16][17][18][19][20] to introduce the differences between classical and non-classical models. Many researchers studied the mechanical behavior of micro-/nano-structures based on the non-classical continuum mechanics models induced by different types of loadings including vibration [21][22][23][24][25][26][27][28][29][30][31][32], wave propagation [33][34][35][36][37][38][39][40][41][42][43], and buckling phenomenon [44][45][46][47][48][49][50][51][52][53][54] associated with linear and nonlinear approaches related to the kinematic relations. According to their hypothesis as well as ob...…”

Section: Researchersmentioning

confidence: 99%

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

Jorshari

Roudbari

2021

J. Basic Appl. Sci.

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Nowadays, the mechanical characteristics of micro-/nano-structures in the various types of engineering disciplines are considered as remarkable criteria which may restrict the performance of small-scale structures in the reality for a certain application. This paper deals with a comprehensive review pertinent to using the nonlocal strain-gradient continuum mechanics model of size-dependent micro-/nano-beams/-plates. According to the non-classical features of materials, using size-dependent continuum mechanics theories is mandatory to investigate accurately the mechanical characteristics of the micro-/nano-structures. Recently, the number of researches related to the analysis of micro-/nano-structures with various geometry including beams as well as plates is considerable. In this regard, the mechanical behavior of these structures induced by different loadings such as vibration, wave propagation, and buckling behavior associated with the nonlocal strain-gradient continuum mechanics model is presented in this review work. Proposing the most valuable literature pertinent to the nonlocal strain-gradient continuum mechanics theory of micro-/nano-beams/plates is the main objective of this detailed survey.

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Section: Researchersmentioning

confidence: 99%

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

Jorshari

Roudbari

2021

J. Basic Appl. Sci.

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“…Considering the internal damping for viscoelastic nanotube, based on the Kelvin‐Voigt viscoelastic model the part

E ε_{x x}

can be substituted with

E ()(, ε_{x x} + g normal∂ ε_{x x} / normal∂ t)

where g is the material damping coefficient. Consecutively, (1) is rewritten as [20–23, 30, 33]

()(, 1 - {false(e_{0} a false)}^{2} \frac{\partial^{2}}{normal∂ x^{2}}) σ_{x x} = E ()(, 1 - l^{2} \frac{\partial^{2}}{normal∂ x^{2}}) ()(, ε_{x x} + g \frac{normal∂ ε_{x x}}{normal∂ t})

Fig. 1 represents the system of fluid conveying nanotube resting on visco‐pasternak substrate, exposed to excitation in magnetic field.…”

Section: Modelling Of Flow‐induced Vibration In Nanotube Using Nsgtmentioning

confidence: 99%

“…Closed-form expressions were obtained for the large-amplitude vibration by Askari et al [19] using Galerkin method. Besides effects of moving nanoparticle on dynamic response of nanotubes were analysed by Arani and Roudbari [20] and Roudbari et al [21][22][23].…”

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confidence: 99%

Nonlinear vibration of fluid conveying cantilever nanotube resting on visco‐pasternak foundation using non‐local strain gradient theory

Saffari

Fakhraie

Roudbari

2020

Micro & Nano Letters

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Frequency analysis and forced vibration response of fluid conveying viscoelastic nanotubes that resting on nonlinear visco-pasternak foundation under magnetic field using size-dependent non-local strain gradient theory are considered in this study. It is supposed that the nanotube is modelled as cantilever type beam and subjected to a harmonic load. The material property of the nanotube is modelled by Kelvin-Voigt viscoelastic constitutive relation and slip boundary conditions of nanotube conveying fluid are taken into account. Extended Galerkin method is used to obtain the nonlinear differential equation of the motion and the multiple timescales method is utilised to investigate the primary vibration resonance of the nanotube. Firstly, the frequency analysis is performed on the linear system and the effects of foundation coefficients on the natural frequency are investigated at several flow velocities. Moreover, the resonance properties of the system are solved in closed form and analysed from the frequency-response curves, and then the effects of the non-local parameter, length scale parameter and magnetic field are fully investigated. In this case, non-local parameter, length scale parameter and foundation coefficients are highly influential on the frequency response of the considered system.

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“…Some researchers studied the integral-based nonlocal theory instead of differential models. Because of some limitations peculiar to differential forms of the nonlocal theory in modeling structures under static and dynamic analysis, some new models were defined such as integral forms of the nonlocal theory and the combination of this theory with micro-structure models [53][54][55][56][57][252][253][254][255][256][257][258][259][260][261][262][263][264][265][266][267][268][269][270][271].…”

Section: Introductionmentioning

confidence: 99%

A review of size-dependent continuum mechanics models for micro- and nano-structures

Roudbari

Jorshari

et al. 2022

Thin-Walled Structures

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Vibration suppression of a boron nitride nanotube under a moving nanoparticle using a classical optimal control procedure

Cited by 10 publications

References 67 publications

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

A Review on the Mechanical Behavior of Size-Dependent Beams and Plates using the Nonlocal Strain-Gradient Model

Nonlinear vibration of fluid conveying cantilever nanotube resting on visco‐pasternak foundation using non‐local strain gradient theory

A review of size-dependent continuum mechanics models for micro- and nano-structures

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