Open AccessA system of two infinite beams separated by an elastic core under moving load
Author(s) -
M. Ataman,
W. Szczęśniak
Publication year - 2018
Publication title -
autobusy
Language(s) - English
Resource type - Journals
eISSN - 2450-7725
pISSN - 1509-5878
DOI - 10.24136/atest.2018.400
Subject(s) - moving load , deflection (physics) , partial differential equation , ordinary differential equation , vibration , mathematical analysis , mathematics , differential equation , coordinate system , observer (physics) , beam (structure) , fourier series , fourier transform , physics , classical mechanics , geometry , optics , quantum mechanics
The paper discussed the analytical solution of a dynamic problem 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 moving concentrated force. Because the problem is stationary for an observer moving with the load, partial differential equations, describing the vibrations of the system, were transformed into ordinary differential 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 deflection of the lower beam. The solution of the problem was resulted to the simple infinite Fourier integral. An extensive list of publications on the related literature is presented in the paper [1-45].