Free vibration analysis of layered functionally graded beams with experimental validation

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Development of dynamic stiffness method for free vibration of functionally graded Timoshenko beams (2015, methodology): “The following non-dimensional frequency parameter defined in Ref [19] is used so as to make the results directly comparable:”
Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations (2017, background): “Based on the principle of the multi-step sequential infiltration technique that can be employed to fabricate FGM samples (Wattanasakulpong et al. 2012), the porosities mostly occur at the middle zone.”
Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “HSDT1 [47], [49]–[52], [54], [60], [76], [77], [89], [90], [101], [106], [116], [118], [120], [135], [138], [139], [144]–[146], [153], [154], [164], [173], [181], [183], [197], [208], [209] Considered Not considered”
Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities (2015, result): “[17] analyzed free vibration of layered functionally graded beams and validated his results with experimental results; he concluded that discrepancies between theoretical and experimental results could arise from porosities due to imperfect infiltration and from approximation in material profile in ”