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Free transverse vibration analysis of spinning Timoshenko–Ehrenfest nano-beams through two-phase local/nonlocal elasticity theory
The present research aims to study the free transverse vibration of spinning nano-beams. Indeed, this research has conducted a numerical analysis through the generalized differential quadrature method, Timoshe...
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A unique and comprehensive approach to investigate the transverse free vibration of non-uniform and functionally graded Euler–Bernoulli beams
This study investigates the transverse free vibration of general type of non-uniform beams with general non-classical boundary conditions at both ends based on the exploitation of Cauchy’s formula for iterated...
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Nonlinear nano-rod-type analysis of internal resonances and geometrically considering nonlocal and inertial effects in terms of Rayleigh axial vibrations
In the present study, a comprehensive modeling of the geometrically nonlinear free axial vibration of nanorod in presence of nonlocal and inertial of lateral motions effects is presented to analyze internal mo...
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On the study of nonlocal effect on the internal resonances of axial oscillation of nanorods
This study aims to consider the nonlocal effect on internal resonances of nanorods in nonlinear axial vibration. To this end, the nonlocal nonlinear governing equation of motion and boundary conditions are der...
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Temperature change effect on torsional vibration of nanorods embedded in an elastic medium using Rayleigh–Ritz method
This paper studies torsional vibration of carbon nanotubes/nanorods embedded in an elastic medium under thermal stresses. Nonlocal theory is applied to the nanorod equations. The thermal stresses act in axial ...
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Interlayer effects of Van der Waals interactions on transverse vibrational behavior of bilayer graphene sheets
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 b...
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Study on tensile-compressive and shear effects of van der Waals interactions on free vibration of bilayer graphene nanoribbons
This study comprehensively investigates tensile-compressive and shear effects of van der Waals (vdWs) interactions on free vibration of cantilever bilayer graphene nanoribbons (CBGNRs) to be answered to this q...
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Natural frequency analysis of functionally graded rectangular nanoplates with different boundary conditions via an analytical method
In this paper, the natural frequencies of a functionally graded nanoplate are analyzed for different combinations of boundary conditions. Application of new materials and specially the functionally graded mate...
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Axisymmetric/asymmetric buckling of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity
This paper provides the axisymmetric/asymmetric buckling analysis of moderately thick circular and annular functionally graded (FG) nanoplates under uniform compressive in-plane loads. The material properties...
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Nonlinear free vibration analysis of Timoshenko nanobeams with surface energy
In this study, influences of balance condition and surface density in addition to the surface elasticity and stress on the nonlinear free vibration of Timoshenko and Euler–Bernoulli nanobeams are investigated....
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Article
Surface effects on free vibration of piezoelectric functionally graded nanobeams using nonlocal elasticity
Free vibration of functionally graded material (FGM) nanobeams is investigated by considering surface effects including surface elasticity, surface stress, and surface density as well as the piezoelectric fiel...
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Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity
The present study proposes an analytical solution for the axisymmetric/asymmetric buckling analysis of moderately thick circular/annular Mindlin nanoplates under uniform radial compressive in-plane load. In or...
