Nonlocal vibrations and stabilities in parametric resonance of axially moving viscoelastic piezoelectric nanoplate subjected to thermo-electro-mechanical forces

Li, C.; Liu, J.J.; Cheng, Mengmeng; Fan, Xueliang

doi:10.1016/j.compositesb.2017.01.071

Cited by 100 publications

(24 citation statements)

References 53 publications

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“…In the literature, nonlocal elasticity proposed by Eringen [23], Modified Couple stress Theory (MCT) of Yang et al [24] and Modified Strain gradient Theory (MST) of Lam et al [25] are widely used to investigate the behaviour of micro/nano structures. Recent studies on the developments and applications of nonlocal theory to nanobeams and nanopaltes could be found in the works of Li et al [26][27][28][29], Nguyen et al [30], and Phung-Van et al [31]. Based on the MCT, numerous studies have been also carried out to investigate the behaviour of micro beams and plates [32][33][34][35][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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The present study uses the isogeometric analysis (IGA) to investigate the post-buckling behavior of functionally graded (FG) microplates subjected to mechanical and thermal loads. The modified a strain gradient theory with three length scale parameters is used to capture the size effect. The Reddy third-order shear deformation plate theory with the von Kámán nonlinearity (i.e., small strains and moderate rotations) is employed to describe the kinematics of the microplates. Material variations in the thickness direction of the plate are described using a rule of mixtures. In addition, material properties are assumed to be either temperature-dependent or temperature-independent. The governing equations are derived using the principle of virtual work, which are then discretized using the IGA approach, whereby a C 2-continuity requirement is fulfilled naturally and efficiently. To trace the post-buckling paths, Newton's iterative technique is utilized. Various parametric studies are conducted to examine the influences of material variations, size effects, thickness ratios, and boundary conditions on the post-buckling behavior of microplates.

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Section: Introductionmentioning

confidence: 99%

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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“…However, in the category of the combination of piezoelectricity with internal viscoelasticity, there can be seen a few published papers. Li et al [47] inspected the buckling and vibrations of axially moving nanoplates considering piezoelectricity and viscoelasticity coupling. They considered the thermal environment as well.…”

Section: Introductionmentioning

confidence: 99%

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

Malikan

Eremeyev

2020

Symmetry

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The fundamental motivation of this research is to investigate the effect of flexoelectricity on a piezoelectric nanobeam for the first time involving internal viscoelasticity. To date, the effect of flexoelectricity on the mechanical behavior of nanobeams has been investigated extensively under various physical and environmental conditions. However, this effect as an internal property of materials has not been studied when the nanobeams include an internal damping feature. To this end, a closed-circuit condition is considered taking converse piezo–flexoelectric behavior. The kinematic displacement of the classical beam using Lagrangian strains, also applying Hamilton’s principle, creates the needed frequency equation. The natural frequencies are measured in nanoscale by the available nonlocal strain gradient elasticity model. The linear Kelvin–Voigt viscoelastic model here defines the inner viscoelastic coupling. An analytical solution technique determines the values of the numerical frequencies. The best findings show that the viscoelastic coupling can directly affect the flexoelectricity property of the material.

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“…The assumptions of nonlocal elasticity and classical plate theory were also considered to investigate the buckling and free vibration of piezoelectric nanoplate on elastic foundation [37]. Also, the transverse vibrations and steady-state responses of axially moving viscoelastic piezoelectric two-dimensional nanostructures are investigated based on the nonlocal viscoelasticity by Li et al [38].…”

Section: Introductionmentioning

confidence: 99%

On the vibration and buckling analysis of quadrilateral and triangular nanoplates using nonlocal spline finite strip method

Analooei

Azhari

Sarrami-Foroushani

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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In this paper, stability and free vibration characteristics of quadrilateral and triangular orthotropic single-layered graphene sheets are investigated based on Eringen's nonlocal continuum elasticity theory. The principle of virtual work is used to derive the governing nanoplate equations. The geometry of arbitrary-shaped quadrilateral and triangular nanoplates in the global Cartesian coordinate system is transformed into the natural coordinate system. B3-spline finite strip method is then employed to extract the buckling and vibration equations. The obtained results are first validated against those reported elsewhere. A comprehensive parametric study is performed while the effect of different parameters such as nonlocal parameter, side length, aspect ratio, shape of the nanoplate, mode number, and boundary conditions is investigated. It is demonstrated that a small-scale effect takes a considerable role in the buckling and vibration behavior of quadrilateral and triangular nanoplates.

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Nonlocal vibrations and stabilities in parametric resonance of axially moving viscoelastic piezoelectric nanoplate subjected to thermo-electro-mechanical forces

Cited by 100 publications

References 53 publications

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

On the Dynamics of a Visco–Piezo–Flexoelectric Nanobeam

On the vibration and buckling analysis of quadrilateral and triangular nanoplates using nonlocal spline finite strip method

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