Abstract
The combined use of the finite element and transfer matrix is applied to the transient analyses of the structures under various excitations. An approximation is also introduced in the equations of motion for the case of in-plane excitations in order to reduce computational efforts. Furthermore, the technique of exchanging the state vectors is, in this paper, proposed to avoid the propagation of round off errors occurred in recursive multiplications of the transfer and point matrices, and the Newmark β method is employed for time integrations. Some numerical examples are presented to demonstrate the accuracy as well as the capability of the proposed method for transient analyses of the plates under out-of-plane and in-plane excitations.
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