VIBRATION AND BUCKLING OF PARABOLICALLY TAPERED POLAR ORTHOTROPIC CIRCULAR PLATES ON AN ELASTIC-FOUNDATION

The natural frequencies of a circular plate of parabolically varying thickness subjected to hydrostatic in-plane force and resting on an elastic foundation (Winkler type) are discussed on the basis of the classical plate theory. An approximate solution of the problem is obtained by Ritz method. Frequency parameter of a plate with different edge conditions for the first three modes of vibration are computed for various values of the taper parameter, the foundation parameter, the flexibility parameter and the in-plane force parameter.