Rozwiązywanie problemów dynamiki płyt prostokątnych na podstawie zmodyfikowanej metody sił Nowackiego

This paper presents the method of solution the vibration problems of rectangular plates, free and loaded, by means of analysis of vibration problems of auxiliary plates, the frequencies and modes of which are known. The calculations are based on a modification of Nowackis method. The loads necessary for realisation of boundary conditions on the line separating the proper plate from the auxiliary one are described by smooth functions. This causes a fast convergence of the series expressing the deflections of the plate and enables the calculations of the internal forces. The numerical solution of the problem was performed considering two different boundary conditions.