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This paper presents random dynamic analysis on a high-speed train moving over a long-span cable-stayed bridge. In the study, the train, slab track, and bridge are regarded as an integrated system, each vehicle is modelled as a four-wheelset mass-spring-damper system with 10 degrees of freedom (DOFs), and the rail and track slabs are modelled as Euler-Bernoulli beams supported by spring-damper elements. The long-span cable-stayed bridge model is established by the ANSYS software, based on which its frequencies and mode shapes are exported and implemented into the dynamics programme executed in the MATLAB platform. The train and substructures are coupled via nonlinear wheel–rail interaction and the large-scale dynamics model is solved by means of a fast explicit integration algorithm. Several numerical examples are performed involving modal convergence study, the effect of train speeds on system dynamic responses and stochastic analysis based on the probability density evolution method.

Random dynamic analysis on a high-speed train moving over a long-span cable-stayed bridge