Abstract
Semi-analytical solutions for bending and free vibration of composite laminated beams and plates have been derived based on 2D/3D elasticity theory using a newly developed hybrid analysis, which perfectly combines the state space approach (SSA) and the differential quadrature (DQ) technique. The thickness direction of laminates is selected to be the transfer direction in SSA, and the DQ technique is employed to discretize the domain(s) normal to the transfer domain. This enables us to transfer the original partial differential equations into a state equation consisting of first-order ordinary differential equations. In particular, the use of DQ technique makes ease of the treatment of various boundary conditions, which can not be considered in the conventional exact state-space approach. A transfer relation between the state vectors at the top and bottom surfaces of the laminates using matrix theory is established, from which the bending and free vibration problems can be solved eventually.
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