The main aim of this paper is to study the non-linear vibration of a delaminated cross-ply composite beam with two overlapping delaminations. The effect of geometrical non-linearity and large deflection on the axial forces due to the existence of two overlapping delaminations are considered. The unknown axial forces created due to the delaminations are obtained by changing the length of the delaminated segments during the vibration behavior. The homotopy perturbation method (HPM) is utilized to obtain the frequency ratio of the delaminated cross-ply composite beam with two overlapping delaminations. This study describes the effects of different parameters such as two delaminations total length, overlap distance, and the distance between center points of two delaminations in axial and thickness directions on the frequency ratio of the delaminated composite beam in detail.
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