On the Vibration of Thick Annular Plates
The vibrations of thick annular plates with various boundary conditions on the inner and outer boundaries are treated by several methods. One method is the well known Mindlin Plate Theory in which the effects of shear and rotary inertia are included. Another approximate method, which is slightly more accurate than the Mindlin Plate method, is a modification of a method first proposed by Pickett. The modified Pickett method is developed for annular plates and compared to correct solutions of the Mindlin Plate Theory. An exact solution for the special case of free boundaries is also compared to the two approximate methods. Both approximate methods are shown to work reasonably well and numerical comparisons are given for the two approximate methods for a variety of boundary conditions.
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