FREE VIBRATION ANALYSIS OF MINDLIN PLATES WITH UNIFORM ELASTIC EDGE SUPPORT BY THE SUPERPOSITION METHOD

摘要

Utilizing the superposition method, a solution is obtained for the free vibration eigenvalues of Mindlin plates resting on uniform lateral elastic edge support. Subsequently, it is shown how minor modifications to the eigenvalue matrix permit the incorporation of the additional effects of rotational stiffness into the analysis. Solutions are based on the Mindlin thick plate theory. Convergence is rapid and eigenvalue curves are plotted for square plates and plates of aspect ratio 1.5, for various lateral and rotational spring stiffnesses. Digital results are tabulated in order that other analysts will have reliable data against which their findings may be compared. (C) 1997 Academic Press Limited. [References: 9]