FREE VIBRATION AND BUCKLING OF IN-PLANE LOADED PLATES WITH ROTATIONAL ELASTIC EDGE SUPPORT

The superposition method is employed to obtain buckling loads and free vibration frequencies for a family of elastically supported rectangular plates subjected to one-directional uniform in-plane loading. Two edges running in the direction of the in-plane loading are free. Lateral displacement is forbidden along the other two edges which are given uniform elastic rotational support. Accurate buckling loads are tabulated for a fairly broad range of plate geometries and edge support stiffnesses. Computed free vibration eigenvalues are also tabulated for square plates with typical in-plane loading and a range of stiffnesses in the edge supports.