Analysis of subharmonic resonance of moderately thick antisymmetric angle-ply laminated plates by using method of multiple scales

The subharmonic resonance of simply supported, rectangular laminated plates is investigated by the method of multiple scales. The governing equations for the plate, which is based on the first order shear deformation and the von Karman-type geometric non-linear theories, are derived by Hamilton's principle. The application of Galerkin's procedure to the governing equations yields the Duffing-type equation in terms of the transverse displacement. In order to use the method of multiple scales properly, we introduce new detuning parameter for the analysis of the subharmonic resonance. The influence of the lamination sequence, thickness ratio, number of layers and in-plane boundary condition is examined on the subharmonic resonance. The analytical results are compared with those obtained by the Runge-Kutta method, and the validity of the present analysis is clearly shown. (C) 1998 Academic Press.