Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories

By M. Şimşek. 2010

494 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4ad7ab52b20fad4722ecd9ada19a7458943f8806

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In Biomedical Engineering

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Static and vibration analysis of functionally graded beams using refined shear deformation theory (2013, background): “FG material properties are assumed to be [19]: Aluminum in the lower surface (Al: El = EAl = 70 GPa, νAl = 0.”
Free vibrations of non-uniform and axially functionally graded beams using Haar wavelets (2011, methodology): “A dynamic system with a moving mass was broadly studied by Simsek in [11,12], and Khalili et al. [13].”
Geometrically nonlinear free vibration analysis of axially functionally graded taper beams (2015, methodology): “Simsek [38] dealt with the classical, first and higher shear deformation theories and derived the equations of motion employing Lagrange's equations.”
Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory (2014, methodology): “Theory BC Reference k = 0 k = 0.5 k = 1 k = 2 k = 5 k = 10 FOBT C-C Simsek [6] 10.0344 8.7005 7.9253 7.2113 6.6676 6.3406 Present 9.9984 8.6717 7.9015 7.1901 6.6447 6.3161 S-S Simsek [6] 5.1525 4.4083 3.9902 3.6344 3.4312 3.3134 Nguyen et al. [12] 5.1525 4.4075 3.9902 3.6344 3.4312 3.3135 Present 5.”
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, methodology): “The calculated frequencies are compared with those given by Simsek [23] using various beam theories.”
Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory (2013, background): “neglects Poisson’s ratio and uses κ = 5/6, are in excellent agreement with the reference solutions [14],”