TRANSVERSE VIBRATIONS OF CIRCULAR PLATES OF RECTANGULAR ORTHOTROPY CARRYING A CENTRAL, CONCENTRATED MASS

A simple approach is proposed for determining the fundamental frequency of transverse vibration of a circular plate of rectangular orthotropy carrying a central concentrated mass. Since the domain boundary is not natural to the material coordinate axes, the plate displacement amplitude is expressed in terms of polynomials in the x and y coordinates. The frequency determinant is generated using the classical Rayleigh-Ritz method. The integrals appearing in the functional are evaluated by using MAPLE. (AIAA)