Use of trigonometric series functions in free vibration analysis of laminated composite beams

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Turan M., Kahya V.

Challenge Journal of Structural Mechanics, vol.6, no.2, pp.61-67, 2020 (Peer-Reviewed Journal)


In this study, free vibration analysis of layered composite beams is performed by us-ing an analytical method based on trigonometric series. Based on the first-order shear deformation beam theory, the governing equations are derived from the La-grange’s equations. Appropriate trigonometric series functions are selected to satisfy the end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and lamina stacking. It was seen that the slenderness, E11/E22 and fiber angle have a significant effect on natural frequency. The results of the study are quite compatible with the literature.