ON THE FREE, TRANSVERSE VIBRATION OF ANNULAR AND CIRCULAR, THIN, SECTORIAL PLATES SUBJECT TO CERTAIN COMPLICATING EFFECTS

The Rayleigh-Ritz method, with orthogonally generated polynomials as admissible functions, is used to obtain an eigenvalue equation for the free, transverse vibration of thin, annular, sectorial plates. Circular sectorial plates are treated with this equation by permitting the inner radius to become negligibly small. The plates may be of isotropic or polar orthotropic material, of uniform or radially and/or circumferentially varying thickness and may include interior circumferential or radial line supports. Numerical values for the natural frequency parameters of several different plates are presented and compared with previously published values, where available.