NATURAL RESPONSE OF BIAXIALLY LOADED PLATES.

Although the characteristic equation for the natural vibration of a biaxially loaded plate is well-known, there appears to be no detailed study of this important problem. This is surprising since analytical derivations of those modal shapes of main practical interest are relatively easy to obtain, thus enabling the corresponding frequencies to be derived. In the present paper it is shown how the problem can be tackled for all four combinations of biaxially applied stress states; in addition, a full parametric study of the first four modes for the biaxial compression case is carried out.