UNSYMMETRIC OSCILLATIONS OF ANISOTROPIC PLATEHAVING AN ADDITIONAL MASS

Abstract

The problem of unsymmetric oscillations of circular plate made from anisotropic material is examined. The plate under consideration has an additional point mass attached offthe center or a system of additional masses. Also the oscillations of anisotropic circular plate with a point support placed offthe center are studied. The exact analytical approach is used for the decision of the above-mentioned problems; the method of compensating loads is applied. For this aim the basic and the compensating solutions are received. The basic solution satisfiesto the resolving differentialequation of the problem under study. The compensating solution satisfiesto the corresponding homogeneous equation and this solution amounting to the basic one also satisfiesto the boundary conditions. The Nielsen’s equation is used for the receiving of the exact solutions expressed in terms of Bessel functions. The equation for determination of frequencies of natural vibrations is obtained.