Thermal effects on vibration properties of double-layered nanoplates at small scales

Wang, Yi–Ze; Li, Fengming; Kishimoto, Kikuo

doi:10.1016/j.compositesb.2011.01.001

Cited by 84 publications

(37 citation statements)

References 44 publications

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“…It is interesting to note that in the literature, the authors have found only a single paper investigating the influence of temperature changes on the free vibration behavior of isotropic double-nanoplate system presented by Wang et al [42]. However, a slight difference in sign between their and our analytical results for nonlocal natural frequencies is present.…”

Section: Comparative Studymentioning

confidence: 71%

“…More complex systems are composed of two or more nanoplates or graphene sheets coupled with certain medium, which is usually some type of polymer matrix. Wang et al [42] studied the vibration properties of double-layered nanoplates by considering the thermal effects. In their analysis the authors employed nonlocal theory to derive governing equations and to obtain exact expressions for natural frequencies of the system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Temperature effects on the vibration and stability behavior of multi-layered graphene sheets embedded in an elastic medium

Karličić

Cajić

Kozić

et al. 2015

Composite Structures

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Section: Comparative Studymentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Temperature effects on the vibration and stability behavior of multi-layered graphene sheets embedded in an elastic medium

Karličić

Cajić

Kozić

et al. 2015

Composite Structures

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“…They obtained analytical expressions of the nonlocal natural frequencies and investigated the influences of the small scale coefficient, stiffness of the external and internal mediums and aspect ratio on the vibration of the simply-supported double-orthotropic nanoplates. In the paper by Wang et al [40], the thermal effects on the vibration properties of the double-layered nanoplates were investigated. The authors proposed analytical expressions of the natural frequencies, based on the nonlocal elasticity theory and the influence of axial stress caused by the thermal effects.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium

Karličić

Kozić

Pavlović

2016

Applied Mathematical Modelling

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Highlights Multiple-nanobeam system is analyzed by Eringen nonlocal theory.  The nonlocal Euler -Bernoulli beam theory is proposed in this study.  The MNBS is simply supported and under the influence of axial load.  The natural frequencies and the critical buckling load are obtained. Abstract:The nonlocal Euler -Bernoulli beam theory is proposed for the free vibration and stability analyses of a multiple-nanobeam system (MNBS) using the Eringen nonlocal continuum theory. It is assumed that every nanobeam in the system of multiple-nanobeams is simply supported and under the influence of axial load. The MNBS is embedded in the Winkler elastic medium. The motion of the system is described by a set of m homogeneous partial differential equations, which are derived by using D'Alembert's principle. Analytical solutions of free vibrations and buckling for a multiple-nanobeam system are obtained by using the classical Bernoulli-Fourier method and trigonometric method, for the case of the identical nanobeam. To validate the accuracy of application of trigonometric methods for a determined natural frequency and buckling load of MNBS, numerical solution of the characteristic polynomial are also conducted for a different number of nanobeams. Moreover, the finite difference method is employed to solve the system of partial differential equations of motion of MNBS, where good agreement with the analytical results is achieved. Numerical studies show the effect of the nonlocal parameter, stiffness of Winkler elastic medium and number of nanobeams for the free transversal vibration and buckling of MNBS. The presented analyses are very useful for the study and design of the nanoelectromechanical systems such as nano-resonators.

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“…Further, Sobhy [12] introduced Levy type solution to study the bending response of SLGSs in thermal environment using the two-variable plate theory. Wang et al [13] studied the thermal effect on vibration of double-layered nanoplate with isotropic mechanical properties. Thermal vibration analysis of orthotropic nanoplates based on nonlocal continuum mechanics was studied by Satish et al [14] using two variable refined plate theory.…”

mentioning

confidence: 99%

Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory

Sobhy

2016

Applied Mathematical Modelling

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Thermal effects on vibration properties of double-layered nanoplates at small scales

Cited by 84 publications

References 44 publications

Temperature effects on the vibration and stability behavior of multi-layered graphene sheets embedded in an elastic medium

Temperature effects on the vibration and stability behavior of multi-layered graphene sheets embedded in an elastic medium

Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium

Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory

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