On vibrations of nanobeam systems

Khaniki, Hossein Bakhshi

doi:10.1016/j.ijengsci.2017.12.010

Cited by 73 publications

(17 citation statements)

References 55 publications

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“…In the following sub-sections, the size-dependent continuum models of various types of nanoscale structures including nanorods, nanorings, nanobeams, nanoplates and nanoshells as well as the literature on the mechanics of these nanostructures are reviewed. Furthermore, sizedependent differential equations for the mechanical behaviours of these structures such as their 8 buckling, vibration, bending and wave propagation responses are presented via the nonlocal elasticity. Various types of nanostructures, involving nanorods, nanorings, nanobeams, nanoplates, and nanoshells, are considered in this paper (see Fig.…”

Section: Types Of Different Nanostructuresmentioning

confidence: 99%

“…Nanoscale structures including nanoscale rods [1], rings [2], beams [3][4][5][6][7][8], plates [9,10], and shells [11,12] have been utilised as the fundamental structural parts of many nanoelectromechanical systems (NEMS). Nanomechanical resonators [13,14], nanoscale mass sensors [15], electromechanical nanoactuators [16], and nanoenergy harvesters [17] are salient examples of these NEMS-based devices.…”

Section: Introductionmentioning

confidence: 99%

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A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

210

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Understanding the mechanical behaviour of nanostructures is of great importance due to their applications in nanodevices such as in nanomechanical resonators, nanoscale mass sensors, electromechanical nanoactuators and nanogenerators. Due to the difficulties of performing accurate experimental measurements at nanoscales and the high computational costs associated with the molecular dynamics simulations, the continuum modelling of nanostructures has attracted a considerable amount of attention. Since size influences have a crucial role in the mechanics of structures at nanoscale levels, classical continuum-based theories have been modified to incorporate these effects. Among various modified continuum-based theories, the nonlocal elasticity and the nonlocal strain gradient elasticity have been employed to estimate the mechanical behaviour of nanostructures. In this review paper, first these two modified elasticity theories are briefly explained. Then, the nonlocal motion equations for different nanostructures including nanorods, nanorings, nanobeams, nanoplates and nanoshells are derived. Several papers which reported on the size-dependent mechanical behaviour of nanostructures using modified continuum models are reviewed. Furthermore, important results reported on the vibration, bending and buckling of nanostructures as well as the results of size-dependent wave propagation analyses are discussed.

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Section: Types Of Different Nanostructuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

210

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“…Murmu [22] mentioned that the nanobeam is an important element and is being extensively used for reliable and computationally efficient analysis of nanostructures, namely nanosensors, nanoresonators, and nanoswitches. Double nanobeam systems with great application in nano-optomechanical systems and sensors are one of the main nanostructures being investigated [23]. It was suggested that the applications of double-nanobeam systems are important in nano-optomechanical systems [24].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response Analysis of a Simply Supported Double-Beam System under Successive Moving Loads

et al. 2019

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The dynamic response of a simply supported double-beam system under moving loads was studied. First, in order to reduce the difficulty of solving the equation, a finite sin-Fourier transform was used to transform the infinite-degree-of-freedom double-beam system into a superimposed two-degrees-of-freedom system. Second, Duhamel’s integral was used to obtain the analytical expression of Fourier amplitude spectrum function considering the initial conditions. Finally, based on finite sin-Fourier inverse transform, the analytical expression of dynamic response of a simply supported double-beam system under moving loads was deduced. The dynamic response under successive moving loads was calculated by the analytical method and the general FEM software ANSYS. The analysis results show that the analytical method calculation results are consistent with ANSYS’ calculation, thus validating the analytical calculation method. The simply supported double-beam system had multiple critical speeds, and the flexural rigidity significantly affected both peak vertical displacement and critical speed.

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“…Since the mechanical response of ultrasmall systems is size-dependent [3][4][5][6][7][8][9][10][11][12][13][14][15], scale-free formulations based on the classical theory of elasticity are not reliable . To develop a formulation capturing size influences, a few modified elasticity theories have been proposed to date [38][39][40][41][42][43][44][45][46]. The nonlocal strain gradient theory (NSGT) and the nonlocal elasticity theory (NET) are famous modified theories for nanoscale systems.…”

Section: Introductionmentioning

confidence: 99%

Global dynamics of fluid conveying nanotubes

Ghayesh

Farokhi

Farajpour

2019

International Journal of Engineering Science

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In the present article, an effort is made to analyse the coupled global dynamics of nanoscale fluid-conveying tubes. The influences of geometric nonlinearity are captured through the nonlinear Euler-Bernoulli strain relation of beams. Moreover, the size influences related to the nanoscale tube are captured via developing a nonlocal strain gradient model of beams. The Beskok-Karniadakis theory is also used for capturing the size influences related to the nanofluid. In addition to size influences, Coriolis acceleration effects together with the influences of the centrifugal acceleration are taken into account. Hamilton's principle gives two coupled equations of motions, which are discretised utilising Galerkin's technique. A time integration scheme is used for extracting the global dynamic characteristics of the nanotube containing nanofluid flow. The non-dimensional critical speed associated with buckling is also determined. It is found that the nanofluid speed plays a crucial role in the global dynamics in both the subcritical and supercritical regimes.

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On vibrations of nanobeam systems

Cited by 73 publications

References 55 publications

A review on the mechanics of nanostructures

A review on the mechanics of nanostructures

Dynamic Response Analysis of a Simply Supported Double-Beam System under Successive Moving Loads

Global dynamics of fluid conveying nanotubes

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