Transverse Vibration of Clamped and Simply Supported Circular Plates with an Eccentric Circular Perforation and Attached Concentrated Mass

In this investigation rayleigh-ritz variational method has been applied to determine the leastnatural frequency coefficient for the title problem. classical plate theory assumptions have beenused to calculate strain energy and kinetic energy. coordinate functions are combination ofpolynomials which satisfy boundary conditions at the outer boundary and trigonometric terms. inthe second part of this study abaqus software is used to compute vibration natural frequency forsome special combinations of geometrical and mechanical parameters. then results of rayleigh-ritz method have been obtained for the mentioned special cases. it can be seen that the agreementbetween them is acceptable.