Research Articles | Challenge Journal of Structural Mechanics

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

Muhittin Turan, Volkan Kahya



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.


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

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