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Dynamic Interactions of a Train Moving Over a Rail Suspension Bridge with Multiple Support Settlements
Yau, Y. D. ; Frýba, Ladislav
With the consideration of multiple support settlements, interaction responses of a train running over a rail suspension bridge will be investigated. The suspension bridge is modeled as a single-span suspended beam with hinged ends and the train as successive moving oscillators with identical properties. To conduct this dynamic problem with non-homogeneous boundary conditions, the total deflection response of the suspended beam is divided into two parts: the static component and the dynamic deflection. Then, the coupled equations of motion for the suspended beam carrying multiple moving oscillators are converted into a set of nonlinearly coupled generalized equations by Galerkin’s method, and solved using the Newmark method using incremental-iterative procedure. From the present numerical demonstrations, the differential movements of bridge supports will significantly affect the dynamic response of the running vehicles but insignificant influence on the bridge response.

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