Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory

By Thuc P. Vo, Huu-Tai Thai, Trung‐Kien Nguyen, Alireza Maheri, Jaehong Lee. 2014

256 citations recorded by the source corpus.

Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory is presented. The core of sandwich beam is fully metal or ceramic and skins are composed of a functionally graded material across the depth. Governing equations of motion and boundary conditions are derived from the Hamilton’s principle. Effects of power-law index, span-to-height ratio, core thickness and boundary conditions on the natural frequencies, critical buckling loads and load–frequency curves of sandwich beams are discussed. Numerical results show that the above-mentioned effects play very important role on the vibration and buckling analysis of functionally graded sandwich beams.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/cba972de4b27fa2252cab2a393d4a9d06bb703d4

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A quasi-3D theory for vibration and buckling of functionally graded sandwich beams (2015, methodology): “using HOBT [3].”
Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “The Power law (P-FGM) [21], [28], [47–50], [52]–[54], [56], [58]–[63], [66], [67], [71], [74]–[78], [85]–[92], [98]–[103], [109, 110], [113], [115]–[119], [121], [129]–[132], [134–140], [143–146], [149]–[162], [164], [168]–[176], [181]–[184], [186]–[189], [194], [196], [198–209], [211], [213, 214] T”
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): “They are calculated for various values of the power-law index and compared to the solutions obtained from the FSBT ([9, 10]) and third-order shear deformation beam theory (TSBT) ([17, 21, 22]).”
Static behaviour of functionally graded sandwich beams using a quasi-3D theory (2015, methodology): “By using these theories, although many papers have been devoted to study static, vibration and buckling analysis of FG structures such as shells ([1]-[3]), plates ([4]-[8]), sandwich plates ([9]-[11]) and beams ([12]-[26]), only some of them are cited here.”