Free vibration analysis of functionally graded size-dependent nanobeams

By Mohamed A. Eltaher, Samir A. Emam, F. F. Mahmoud. Applied Mathematics and Computation, 2012

436 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6cc2115799190fe010bebe5637ee9dded4966b58

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A Nonlocal Higher-Order Shear Deformation Beam Theory for Vibration Analysis of Size-Dependent Functionally Graded Nanobeams (2015, methodology): “In the present work, the nonlocal parameter is assumed to be in the range of 0−5 (nm)2 [18].”
Nonlocal nonlinear free vibration of functionally graded nanobeams (2014, methodology): “Eltaher et al. [24] presented free vibration analysis of functionally graded size-dependent nanobeams using finite element method based on the Euler–Bernoulli beam theory.”
Wave propagation analysis of quasi-3D FG nanobeams in thermal environment based on nonlocal strain gradient theory (2016, neutral): “[24].”
Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment (2018, methodology): “Eltaher et al. (2012) implemented finite element method to investigate free vibration of FG nanobeams in the framework of nonlocal Euler-Bernoulli beam theory.”
A Semi-analytical Method for Vibrational and BucklingAnalysis of Functionally Graded Nanobeams Consideringthe Physical Neutral Axis Position (2015, methodology): “…obtained based on physical neutral axis position (NA) and the results for the simply supported-simply supported (S-S) FG nanobeam with various nonlocal parameter and constituent volume fraction exponents presented by Eltaher et al. (2012) which has been obtained by using finite element method.”
Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect (2015, methodology): “…Chaht, A. Kaci, M.S.A. Houari, A. Tounsi, O.A. Bég and S.R. Mahmoud through the nanobeam thickness according to a power-law form (Eltaher et al. 2012, Şimşek and Yurtçu 2013), which can be described by b k bt Ph zPPzP 2 1 )( (1) where Pt and Pb are the corresponding…”