Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magneto-electro-elastic nanofilms

Farajpour, Mohammad Reza; Shahidi, Alireza; Hadi, Amin; Farajpour, Ali

doi:10.1080/15376494.2018.1432820

Cited by 38 publications

(13 citation statements)

References 43 publications

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“…In addition to linear size-dependent plate models, nonlinear models have been proposed to analyse the large-amplitude vibration of nanoscale plates using the surface elasticity theory [277, 26 278] and the NET [279][280][281][282]. Figure 27 indicates the size influence on the nonlinear vibration of SLGSs with four edges simply supported.…”

Section: 4d Size-dependent Vibration Of Nanoplatesmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

212

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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: 4d Size-dependent Vibration Of Nanoplatesmentioning

confidence: 99%

A review on the mechanics of nanostructures

Farajpour

Ghayesh

Farokhi

2018

International Journal of Engineering Science

212

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“…In particular, micro-transducers' and micro-actuators' results are of paramount importance due to their role of micro-devices' interfaces [1,2]. In recent years, circular membrane MEMS technology has been exploited to this aim in a wide variety of technological fields such as thermo-elasticity [2][3][4], microfluidics [2,[5][6][7], electroelasticity [8][9][10][11][12], and biomedical engineering [13][14][15]. The focus on this geometry can mainly be attributed to the availability of theoretical models in both steady-state and dynamical conditions (see [16][17][18] and references within).…”

Section: Introduction and Problem Statementmentioning

confidence: 99%

Recovering of the Membrane Profile of an Electrostatic Circular MEMS by a Three-Stage Lobatto Procedure: A Convergence Analysis in the Absence of Ghost Solutions

2020

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In this paper, a stable numerical approach for recovering the membrane profile of a 2D Micro-Electric-Mechanical-Systems (MEMS) is presented. Starting from a well-known 2D nonlinear second-order differential model for electrostatic circular membrane MEMS, where the amplitude of the electrostatic field is considered proportional to the mean curvature of the membrane, a collocation procedure, based on the three-stage Lobatto formula, is derived. The convergence is studied, thus obtaining the parameters operative ranges determining the areas of applicability of the device under analysis.

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“…At microscales and nanoscales, the mechanical response has been indicated to be size-dependent [21][22][23][24][25][26][27][28][29][30][31] and thus classical models of elasticity must be modified so as to include size influences [32][33][34][35][36][37][38][39][40][41][42]. A number of modification procedures based on the nonlocal elasticity [43][44][45][46], couple stress model [47][48][49][50][51][52], and strain gradient theory [53,54] have been proposed. More recently, a significant number of size-dependent models with microstructure-dependent deformational and nonlocal stress influences have been proposed [55,56].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Oscillations of AFG Microscale Nonuniform Deformable Timoshenko Beams

2019

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A nonlinear vibration analysis is conducted on the mechanical behavior of axially functionally graded (AFG) microscale Timoshenko nonuniform beams. Asymmetry is due to both the nonuniform material mixture and geometric nonuniformity. Using the Timoshenko beam theory, the continuous models for translation/rotation are developed via an energy balance. Size-dependence is incorporated via the modified couple stress theory and the rotation via the Timoshenko beam theory. Galerkin’s method of discretization is applied and numerical simulations are conducted for a size-dependent vibration of the AFG microscale beam. Effects of material gradient index and axial change in the cross-sectional area on the force and frequency diagrams are investigated.

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Influence of initial edge displacement on the nonlinear vibration, electrical and magnetic instabilities of magneto-electro-elastic nanofilms

Cited by 38 publications

References 43 publications

A review on the mechanics of nanostructures

A review on the mechanics of nanostructures

Recovering of the Membrane Profile of an Electrostatic Circular MEMS by a Three-Stage Lobatto Procedure: A Convergence Analysis in the Absence of Ghost Solutions

Asymmetric Oscillations of AFG Microscale Nonuniform Deformable Timoshenko Beams

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