An analytical method for temperature-dependent free vibration analysis of functionally graded beams with general boundary conditions

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Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments (2014, methodology): “Many studies have been made on the linear bending, buckling and vibration of FGM beams based on Euler–Bernoulli beam theory, Timoshenko beam theory and higher order shear deformation beam theory [2–14].”
Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “[89] studied the free vibration of a beam made of sym-”
Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect (2015, background): “…et al. 2014, Bouderba et al. 2013, Bachir Bouiadjra et al. 2012, 2013, Bouremana et al. 2013, Bourada et al. 2012, Fekrar et al. 2012, El Meiche et al. 2011, Benachour et al. 2011, Mahi et al. 2010, Sallai et al. 2009, Benatta et al. 2008) investigated the mechanical response of FGM structures.”