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

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-ordershear deformation beam theory, the governing equations are derived from the Lagrange’s equations. Appropriate trigonometric series functions are selected to satisfythe end conditions of the beam. Navier-type solution is used to obtain natural frequencies. Natural frequencies are calculated for different end conditions and laminastacking. It was seen that the slenderness, E11/E22 and fiber angle have a significanteffect on natural frequency. The results of the study are quite compatible with theliterature.