Нестационарные колебания шарнирно-опертой пластины, подкрепленной линейными ребрами жесткости (прямая и обратная задачи)

Abstract

An investigation of transient vibrations of a hinged isotropic plate ribbed by linear stiffeners is presented. The solutions of the direct and inverse problems are built in terms of a mechanical system, which consists of a hinged plate and a supporting beam. The reliability of the obtained results is analyzed by comparing with the results obtained by other authors, when passing to the limit in some parameters. The comparison of the analytical solution with the solution obtained by using the finite element method is also given. The incorrectness of the formulated problems is overcome by using the Tikhonov regularization method.