Published: 2011-04-01

The influence of rail-vehicles’ properties on dynamic response of a beam bridge

Monika Podwórna , Marian Klasztorny


The study is focused on assessment of the influence of the basic properties of rail-vehicles on the dynamic response of the beam bridge in a wide range of a service velocity of the cyclic moving load. The analysis relates to the following properties: unsprung masses (wheel sets), sprung masses (bogie frames, bodies). The numerical research has been performed with the use of simplified models of a bridge and rail-vehicles. The bridge is modelled as a simply- supported Euler-Bernoulli beam. Four models of the cyclic moving load are taken into account, i.e. the concentrated forces moving system (model P), the concentrated unsprung masses moving system (model M), the single-mass viscoelastic oscillators moving system (model Mo), the double-mass viscoelastic oscillators moving system (model MMo). The sets of moving elements are finite. The matrix equations of motion governing vibrations of the system has been formulated making use of Lagrange-Ritz and Klasztorny methods. In case of the M and MMo models the compliance of wheel sets and one-way constraints between the moving elements and the track are taken into consideration. The numerical investigations have pointed out that the advanced rail-vehicle models should take into account unsprung masses, viscoelastic suspensions and sprung masses.


beam bridge, high-speed train, moving load modelling, railway bridge

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Podwórna, M., & Klasztorny, M. (2011). The influence of rail-vehicles’ properties on dynamic response of a beam bridge. Roads and Bridges - Drogi I Mosty, 10(3), 63–87. Retrieved from

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