Abstract
A general analytical solution, based on the superposition method, is developed for the free vibration analysis of rectangular plates with an arbitrarily distributed elastic rotational restraint along the edges. In particular, it is shown that problems of current interest, where step discontinuities exist in the stiffness distributions, are readily handled. Lateral displacement along the edges is forbidden. The method is easy to employ, convergence is rapid, and computed results are tabulated so that other researchers will have data against which their results can be compared. This appears to be the first comprehensive solution for this problem to appear in the literature.
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