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 i f one wishes to take into account several parameters that come into pl ay: flexibility of rotational and translational properties at the plat e edge; elastic moduli of the plate material; concentrated mass/total plate mass, etc. In view of these considerations an approximate, yet q uite accurate solution is obtained by using the optimized Rayleigh-Rit z method and polynomial co-ordinate functions which satisfy identicall y the governing boundary conditions. Only axisymmetric modes are consi dered in the present investigation.