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ORIGINAL PAPER
Bridges for Pedestrians with Random Parameters using the Stochastic Finite Elements Analysis
1
Department of Structural Mechanics, Faculty of Civil Engineering, Architecture and Environmental, Engineering Technical University of Łódź, Al. Politechniki 6, 90-924 Łódź, Poland
Online publication date: 2017-03-04
Publication date: 2017-02-01
International Journal of Applied Mechanics and Engineering 2017;22(1):175-197
KEYWORDS
bridges for pedestrianseigenfrequenciesStochastic Finite Element MethodResponse Function Methodgeneralized stochastic perturbation techniquereliability analysis
ABSTRACT
The main aim of this paper is to present a Stochastic Finite Element Method analysis with reference to principal design parameters of bridges for pedestrians: eigenfrequency and deflection of bridge span. They are considered with respect to random thickness of plates in boxed-section bridge platform, Young modulus of structural steel and static load resulting from crowd of pedestrians. The influence of the quality of the numerical model in the context of traditional FEM is shown also on the example of a simple steel shield. Steel structures with random parameters are discretized in exactly the same way as for the needs of traditional Finite Element Method. Its probabilistic version is provided thanks to the Response Function Method, where several numerical tests with random parameter values varying around its mean value enable the determination of the structural response and, thanks to the Least Squares Method, its final probabilistic moments.
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