Research Articles | Challenge Journal of Structural Mechanics

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

Muhittin Turan, Volkan Kahya


DOI: https://doi.org/10.20528/cjsmec.2020.02.002

Abstract


In this study, free vibration analysis of layered composite beams is performed by using an analytical method based on trigonometric series. Based on the first-order shear deformation beam theory, the governing equations are derived from the Lagrange’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.


Keywords


laminated composite beam; free vibration; trigonometric functions; first-order shear deformation theory

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