On a class of eigenvalue problems of orthotropic plates

Abstract

A class of eigenvalue problems for linear bending of semi-infinite orthotropic plates under the action of in-plane stress resultant in the finite direction has been developed. The structure of the eigenvalues has been investigated analytically for the case of simply supported plates and their physical basis underscored. It is shown that the treatment results in a coupled eigenvalue problem of bending as well as bifurcation buckling, thereby suggesting an alternate criterion for buckling.