000021933 001__ 21933 000021933 005__ 20170622131312.0 000021933 04107 $$aeng 000021933 046__ $$k2017-06-15 000021933 100__ $$aTran, Le Hung 000021933 24500 $$aANALYTICAL MODEL OF THE DYNAMICS OF RAILWAY SLEEPER 000021933 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering 000021933 260__ $$bNational Technical University of Athens, 2017 000021933 506__ $$arestricted 000021933 520__ $$2eng$$aThe periodically supported beam is an analytical model of the dynamics of a railway track, where each rail together with its supports (sleepers) is independent of the other one. However, the sleepers connect the two rails and their behaviour could influence the response. This study develops an analytical model for this type of track by considering the sleepers as EulerBernoulli beams resting on a visco-elastic foundation. By using a relation between the reaction forces and displacement of the periodically supported beam [1], we can obtain a dynamic equation of a sleeper based on Dirac delta distribution. Then, the response of the sleepers can be obtained by using the Green function. This model is a fast method to calculate the dynamic responses of railway sleepers and track. 000021933 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000021933 653__ $$aRailway, analytical method, periodically supported beam, Fourier transform, Green function. 000021933 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017 000021933 720__ $$aTran, Le Hung$$iLoaec, Arnaud$$iMessad, Samir$$iDuhamel, Denis$$iForet, Gilles$$iHoang, Tien 000021933 8560_ $$ffischerc@itam.cas.cz 000021933 8564_ $$s606270$$uhttps://invenio.itam.cas.cz/record/21933/files/18372.pdf$$yOriginal version of the author's contribution as presented on CD, section: [RS12] Numerical simulation methods for dynamic problems . 000021933 962__ $$r21500 000021933 980__ $$aPAPER