Nonlocal Reddy beam model for free vibration analysis of multilayer nanoribbons incorporating interlayer shear effect

Nazemnezhad, Reza; Zare, Morteza

doi:10.1016/j.euromechsol.2015.09.006

Cited by 20 publications

(3 citation statements)

References 76 publications

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“…Inserting Eqs. (47-57) into (24)(25)(26)(27)(28)(29), the governing equations of motion of the DLGS can be determined in the form of Eqs. 63-68 (see Appendix).…”

Section: Vdws Interactionmentioning

confidence: 99%

See 1 more Smart Citation

Interlayer effects of Van der Waals interactions on transverse vibrational behavior of bilayer graphene sheets

Kamali

Nazemnezhad

Zare

2018

J Braz. Soc. Mech. Sci. Eng.

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This study focuses only on the interlayer effects of van der Waals (VdWs) interactions (including simultaneous effects of shear and tensile-compressive effects) on the free transverse vibrational behavior of bilayer graphene sheets by implementing the classical continuum mechanics theory. To this end, the classical sandwich plate theory and the Hamilton's principle are involved to obtain the governing equations and the harmonic differential quadrature method is employed to calculate the natural frequencies and related mode shapes. The results show the shear effect of VdWs interactions has significant influences on primary natural frequencies and mode shapes. Therefore it is a main determinant and can safely assume the pure shear effect while designing sensors, actuators, accelerometers and resonators. Finally, the potential depth parameter is introduced to consider the simultaneous effects of shear and tensile-compressive forces. Keywords Free vibration Á Bilayer graphene sheet Á Van der Waals forces Á Harmonic differential quadrature method Á Equivalent forces & Reza Nazemnezhad

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“…Inserting Eqs. (47-57) into (24)(25)(26)(27)(28)(29), the governing equations of motion of the DLGS can be determined in the form of Eqs. 63-68 (see Appendix).…”

Section: Vdws Interactionmentioning

confidence: 99%

“…It is clear that all the previous articles on multilayer graphene sheets applied either tensile-compressive [14,15,18,27] or shear effects [21][22][23][24] of van der Waals (VdWs) interactions. However, the simultaneous effects of them are not shown in the papers clearly.…”

Section: Introductionmentioning

confidence: 99%

Interlayer effects of Van der Waals interactions on transverse vibrational behavior of bilayer graphene sheets

Kamali

Nazemnezhad

Zare

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Ansari et al [13] also developed a nonlocal finite element model which accounts for the small scale effects on free vibration of multi-layered graphene sheets. There are so many other research works in which the behaviors of nanostructures under various loading conditions have been predicted based on nonlocal elasticity continuum models [14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Studying the Vibrational Behavior of Single-Walled Carbon Nanotubes under Different Boundary Conditions using the Rayleigh-Ritz Technique

Ansari¹,

Rouhi²,

Sahmani³

2016

International Journal of Engineering &Amp; Applied Sciences

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The vibrational response of single-walled carbon nanotubes (SWCNTs) is studied in this paper. To take size effects into account, Eringen's nonlocal elasticity equations are incorporated into the Donnell shell theory. The Rayleigh-Ritz method is employed in conjunction with the polynomial series as modal displacement functions to solve the problem. Four commonly used boundary conditions namely as simply supported-simply supported, clamped-clamped, clamped-simply supported, and clamped-free are considered. The fundamental frequencies of SWCNTs with various values of aspect ratios and nonlocal parameters are obtained. To propose the proper values of nonlocal parameter, the results of nonlocal shell model are matched with those of molecular dynamics (MD) simulations for armchair and zigzag SWCNTs through a nonlinear least square fitting procedure. The appropriate values of nonlocal parameter corresponding to each type of chirality and boundary condition are then derived. It is found that the results obtained via the presented nonlocal shell model with its proposed proper values of nonlocal parameter are in excellent agreement with those of MD simulations.

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Free Vibration of Sandwich Nanobeam

Kammoun

Féki

Bouaziz

et al. 2021

Applied Condition Monitoring

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Nonlocal Reddy beam model for free vibration analysis of multilayer nanoribbons incorporating interlayer shear effect

Cited by 20 publications

References 76 publications

Interlayer effects of Van der Waals interactions on transverse vibrational behavior of bilayer graphene sheets

Interlayer effects of Van der Waals interactions on transverse vibrational behavior of bilayer graphene sheets

Studying the Vibrational Behavior of Single-Walled Carbon Nanotubes under Different Boundary Conditions using the Rayleigh-Ritz Technique

Free Vibration of Sandwich Nanobeam

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