TRANSVERSE VIBRATIONS OF A CIRCULAR PLATE CARRYING AN ELASTICALLY MOUNTED MASS

An exact solution of the title problem is rather difficult to obtain. On the other hand, it is not advantageous from a practical viewpoint if one wishes to take into account several parameters that come into play: flexibility of rotational and translational properties at the plate edge; elastic moduli of the plate material; concentrated mass/total plate mass, etc. In view of these considerations an approximate, yet quite accurate solution is obtained by using the optimized Rayleigh-Ritz method and polynomial co-ordinate functions which satisfy identically the governing boundary conditions. Only axisymmetric modes are considered in the present investigation.