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Through introducing the Laplace transformation in the time direction,the mixed state Hamilton canonical equation and a semi-analytical solution arepresented for analyzing the dynamic response of laminated composite plates.Thismethod accounts for the separation of variables,the finite element discretization can beemployed in the plane of laminar,and the exact solution in the thickness direction isderived by the state space control method.To apply the transfer matrix method,therelational expression at the top and bottom surface is established.So the generalsolution in transformation space is deduced by the spot method.By the application ofinversion of Laplace transformation,the transient displacements and stresses can bederived.
Through introducing the Laplace transformation in the time direction, the mixed state Hamilton canonical equation and a semi-analytical solution arepresented for analyzing the dynamic response of laminated composite plates.This method for the separation of variables, the finite element discretization can be deployed in the plane of laminar, and the exact solution in the thickness direction isderived by the state space control method. To apply the transfer matrix method, therelational expression at the top and bottom surface is established. So the generalsolution in transformation space is deduced by the spot method. By the application of inversion of Laplace transformation, the transient displacements and stresses can be reduced.