TRANSIENT-RESPONSE OF CIRCULAR PLATES AND MEMBRANES - A NUMERICAL APPROACH

A systematic discussion on the use of numerical Laplace transforms for the computation of response of circular plates and membranes is prese nted. Applying the Laplace transform to the governing differential equ ation of motion in polar coordinates reduces the dynamic problem to an equivalent static one. The resulting equations are discretized by usi ng the finite difference technique and the solution is obtained in the Laplace plane. Time-domain solutions are obtained by using the numeri cal inversion technique proposed by Durbin based on sine-cosine transf orms. The effects of internal viscoelastic damping and external viscou s damping on the response are also studied. Several examples are tackl ed to illustrate the procedure. (C) 1997 Elsevier Science Ltd.