Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories

By Huu-Tai Thai, Thuc P. Vo. 2012

434 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/f7709bd1027264c9d4426ad2cf3362ed7906b8a5

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory (2015, positive): “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]).”
Nonlinear vibration analysis of functionally graded beams considering the influences of the rotary inertia of the cross section and neutral surface position (2018, methodology): “With the assumption of a constant Poisson’s ratio and di erent functions of Young’s modulus and mass density, previous work (Aydogdu and Taskin, 2007; Kapuria et al., 2008; Sahraee and Saidi, 2009; Sina et al., 2009; Alshorbagy et al., 2011; Hosseini-Hashemi et al., 2011; Thai and Vo, 2012; Tufekci ”
Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory (2014, methodology): “It should be noted that in previous research, Thai and Vo [8] used the Navier procedure to derive the analytical solution for a simply-supported FG beam only.”
Geometrically nonlinear free vibration analysis of axially functionally graded taper beams (2015, methodology): “Several different techniques and methodologies have been adopted for this purpose by different researchers [6,44] derived the governing equations using Hamilton's principle while employing different higher order shear deformation theories and obtained the solution to these equations using Navier sol”
Static and vibration analysis of functionally graded beams using refined shear deformation theory (2013, methodology): “The analytical solutions using HOBT were given in Thai and Vo [25] and derived here for comparison.”
Free vibration of FGM layered beams by various theories and finite elements (2014, positive): “For the same boundary condition, Thai and Vo also carried out a static analysis [2].”
Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments (2014, methodology): “L/h1⁄420 1 Thai and Vo [10] 5.”
Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory (2013, background): “are very close to those of ([12], [25]).”
Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory (2013, neutral): “More works can be seen in [13–20].”