Układ dwóch nieskończenie długich belek z wypełnieniem spreżystym pod obciążeniem ruchomym

Magdalena Ataman , Wacław Edward Szcześniak

Abstract

The paper discusse d the analytical solution of a dynamic pro b lem of a system of two infinite beams separated by an elastic core. The beams’ system rests on the Winkler foundation and is loaded with a mo v ing concentrated force. Because the problem is stationary for an observer moving with the load, partial differential equations, descri b- ing the vibrations of the system, were transformed into o rdinary differe n tial equations in the coordinate system related to the moving force. The system of equations was transformed to one differential equation of an eighth order . The equation defines defle c tion of the lower beam. The solution of the problem was resulted to the si m ple infinite Fourier integral . An extensive list of publications on the related literature is presented in the paper