Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/19585
Title: Evaluating the response statistics of an uncertain bridge-vehicle system
Authors: Wu, SQ
Law, SS
Keywords: Bridge structure
Moving forces
Uncertainty
Spectral stochastic finite element method
Karhunen-Loeve expansion
Polynomial chaos expansion
Issue Date: 2012
Publisher: Academic Press
Source: Mechanical systems and signal processing, 2012, v. 27, p. 576-589 How to cite?
Journal: Mechanical systems and signal processing 
Abstract: This paper addresses the statistical prediction of dynamic response of a bridge structure with inherent uncertainty under stochastic moving loads. The uncertainty in bridge structure, which is assumed with Gaussian properties, is modeled by the Spectral Stochastic Finite Element Method. The uncertain moving forces with Gaussian distribution are represented by the Karhunen-Loeve expansion. The Polynomial chaos expansion is adopted to represent the uncertain response such that the proposed algorithm is not limited to system with small uncertainty. The bridge is modeled as a simply supported Bernoulli-Euler beam and the bridge-vehicle interaction forces are modeled as Gaussian random processes related to the power spectral density of the surface roughness defined in the ISO standard. The mathematical model of the bridge-vehicle system is formulated and solved with the Newmark-beta method. The response statistics of the bridge are compared with those from Monte Carlo simulation. Different levels of uncertainty in both the system parameters and the moving forces are studied to investigate the accuracy and robustness of the proposed method in the stochastic analysis of the bridge-vehicle interaction problem.
URI: http://hdl.handle.net/10397/19585
ISSN: 0888-3270
EISSN: 1096-1216
DOI: 10.1016/j.ymssp.2011.07.019
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