ANALYSIS OF VIBRATING RECTANGULAR-PLATES OF DISCONTINUOUSLY VARYING THICKNESS BY MEANS OF THE KANTOROVICH EXTENDED METHOD

The title problem is solved by using a polynomial co-ordinate function in the x-direction, where the discontinuity in the thickness variation occurs, and which contains an exponential parameter γ. Use of a variational approach allows for the determination of a differential equation in the y-direction which contains the fundamental eigenvalue of the problem. Since the eigenvalue is a function of the optimization parameter γ, by minimizing it with respect to γ one finds an optimized value of the fundamental frequency coefficient. © 1990.