Three-dimensional theory of elasticity for free vibration analysis of composite laminates via layerwise differential quadrature modelling

In this paper, the free vibration analysis of simply-supported and clamped composite laminates, especially thick laminates, is carried out. The three-dimensional theory of elasticity is integrated into a layerwise model via di erential quadrature discretization. All physical governing equations are satis ed, including the additional constraints of the characteristics of continuity and discontinuity of interfacial transverse and in-plane strains and stresses along the interfaces of composite laminates. E ects of plate aspect and thickness ratios on the free vibration of these laminates are examined in detail. This study demonstrates the applicability, accuracy, and stability of the present methodology, for vibration analyses of composite structures of thick laminated constitution