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Spatially coupled vibrations of a suspension bridge under random highway traffic
Author(s) -
Bryja D.,
Śrniady P.
Publication year - 1991
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290201103
Subject(s) - bridge (graph theory) , train , suspension (topology) , structural engineering , random vibration , moving load , vibration , stochastic process , span (engineering) , engineering , time domain , computer science , finite element method , mathematics , physics , medicine , statistics , cartography , quantum mechanics , homotopy , pure mathematics , geography , computer vision
The problem of spatial dynamic response of a suspension bridge to the passage of trains of concentrated forces with random values is considered. The arrival of forces at the bridge is assumed to constitute a Poisson process of events. Such an excitation process is an appropriate model of vehicular traffic loads acting on the bridge. The bridge is idealized by a single‐span thin‐walled beam underslung to two cables. The response of the bridge in the space‐time domain is described by a coupled system of non‐linear, integro‐differential equations. The dynamic influence functions of vertical and horizontal deflections at each cross‐section point are obtained for the linear case. Cumulants and probability density functions of response are determined. Numerical methods have been used to develop a computer‐oriented algorithm aimed at the numerical solution of the problem. As examples, numerical results for a particular bridge with some practical load cases are presented and illustrated by graphs.