Free vibration and buckling of composite beams with interlayer slip by two-dimensional theory

The free vibration and buckling of partial interaction composite beams are investigated using the state-space method based on the two-dimensional theory of elasticity. The analytical solutions of a beam with two simply supported ends are obtained as well as semi-analytical solutions are obtained for other end conditions using the differential quadrature method coupled with the state-space method. The frequencies and buckling loads are tabulated and compared with those available in the literature. Because the plane section assumption of the classical beam theory is not used, the presented method is applicable not only to slender beams, but also to thick beams. Consequently, the presented method can be a benchmark for other approximate methods based on one-dimensional beam theories.