GENERIC FREE-VIBRATION OF ORTHOTROPIC RECTANGULAR-PLATES WITH CLAMPED AND SIMPLY SUPPORTED EDGES

The generic free vibration of specially orthotropic rectangular plates with combinations of clamped and simply supported edges is investigated by the superposition technique. The introduction of affine transformation reduces the two rigidity parameters required for the free vibration analysis to one, making complete tabulation of computed eigenvalues much easier. Numerical calculations are performed on clamped plates, plates with one edge simply supported and plates with two adjacent edges simply supported, along with a number of representative values of the generalized rigidity parameter and the affine aspect ratio. © 1993 Academic Press Limited.