Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory

By Trung‐Kien Nguyen, Thuc P. Vo, Huu-Tai Thai. 2013

178 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/51546b02413c923376383bcbb102498a1b614297

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Free vibration of functionally graded beams and frameworks using the dynamic stiffness method (2018, methodology): “Foremost amongst these are the applications of direct analytical procedure using the governing differential equations of motion [5-19], finite element [20-22], Rayleigh-Ritz [23], finite volume [24-26], differential quadrature [27], differential transformation [27, 28] and transfer function [29, 30]”
Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory (2015, methodology): “values of the power-law index and compared to the solutions obtained from the FSBT ([9, 10]) and”
A quasi-3D theory for vibration and buckling of functionally graded sandwich beams (2015, unknown): “[21] (FOBT) 48.”
Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “[58] presented bending, buckling, and free vibration analysis of axially loaded rectangular FG beams using the FSDT.”
Geometrically nonlinear free vibration analysis of axially functionally graded taper beams (2015, methodology): “[30] introduced a method involving first-order shear deformation beam theory where the improved shear stiffness matrix was derived from the in-plane stress and equilibrium equation.”
Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach (2016, methodology): “[7] proposed an improvement on FOBT to present Navier solution for static and vibration”
Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory (2014, methodology): “[12] based on the first-order beam theory (FOBT), Simsek [6] and Thai and Vo [8] based on the higher-order beam theory (HOBT).”