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• W2077233085 abstract "This article presents formulation of third-order non-local beam theories based on Eringen's non-local continuum theory and the Reddy and Leung higher-order beam models for bending, buckling, and vibration of nanobeams. By applying the variational principle, an asymptotic governing differential equation of infinite-order strain gradients is derived and subsequently the governing equation of motion of the nanobeams is obtained. For practical applications, the Navier solutions of the asymptotic non-local model are presented and discussed. Bending, buckling, and vibration of nanobeams with simply supported boundary conditions are investigated. Numerical examples are presented to illustrate the corresponding effects of non-local scale parameter, rotary inertia and transverse shear deformation on deflections, buckling loads, and natural frequencies of nanobeams." @default.
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• W2077233085 date "2009-06-05" @default.
• W2077233085 modified "2023-09-26" @default.
• W2077233085 title "Third-order non-local beam theories for the analysis of symmetrical nanobeams" @default.
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• W2077233085 doi "https://doi.org/10.1243/09544062jmes1501" @default.
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