Print Email Facebook Twitter Dynamic response of an infinite beam periodically supported by sleepers resting on a regular and infinite lattice Title Dynamic response of an infinite beam periodically supported by sleepers resting on a regular and infinite lattice: Semi-analytical solution Author de Oliveira Barbosa, J.M. (TU Delft Dynamics of Structures) van Dalen, K.N. (TU Delft Dynamics of Structures) Date 2019 Abstract In this work we propose a model for the analysis of the dynamic behaviour of a ballasted track that combines discrete and continuous elements. The rail is modelled via an Euler-Bernoulli beam, the periodically spaced sleepers are represented with lumped masses, and the ballast is simulated using a lattice (regular network of elastically connected lumped masses). All elements are assumed to behave linearly, and the lattice can be supported by a flexible or a rigid foundation, simulating soil or a hard rock. The equations of motion of each component are presented and the coupled system is solved semi-analytically in the frequency domain. The time domain response can be calculated afterwards by means of a numerical inverse Fourier transform. Dispersion curves and time responses are produced for the case of a ballasted track on a stiff soil. These responses are compared with the scenario in which ballast is modelled as lumped supports, and the scenario in which the force is applied directly to the ballast (no superstructure). It is observed that the simpler models fail to capture the vibration modes in which energy is concentrated in the ballast, and that the superstructure significantly alters the response of the track, increasing its critical velocity and changing the deformed shape of the ballast. The model herein proposed can be used to assess the dynamic characteristics of the track (critical speeds, energy propagation, vehicle-track interaction, etc.) and will serve as framework for a development of a tool for assessment of the settlement behaviour of ballast. Subject Infinite beamInfinite latticeMoving loadPeriodic structures To reference this document use: http://resolver.tudelft.nl/uuid:96673e17-7d32-4cb6-8bde-5868a259b2dd DOI https://doi.org/10.1016/j.jsv.2019.06.014 Embargo date 2021-07-02 ISSN 0022-460X Source Journal of Sound and Vibration, 458, 276-302 Bibliographical note Accepted Author Manuscript Part of collection Institutional Repository Document type journal article Rights © 2019 J.M. de Oliveira Barbosa, K.N. van Dalen Files PDF Manuscript.pdf 1.67 MB Close viewer /islandora/object/uuid:96673e17-7d32-4cb6-8bde-5868a259b2dd/datastream/OBJ/view