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1 International Journal of Applied Mechanics and Engineering

1 2010

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Probabilistic simulation of responses of orthotropic-deck bridge under random live load

Mishra S. R., Shelke A., Mishra S. K.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 1

139-160

We present a simulation based study of the probabilistic responses of an orthotropic deck steel bridge subjected to random live load, given the fact that a better understanding of such responses is important for improved design of this class of structures. These structures are gaining increasing popularity for the ease of construction. Probabilistic characterization also provides important measures of structural safety and reliability. With this aim as the eventual goal, we first develop a stochastic model of the live load on bridges based on the available data. Owing to a wide variability in the vehicle (contributing to live loading) data we classify the vehicles into several classes. Individual groups are characterized by the probabilistic measures (mean, standard deviation, distributions). Following previous studies, we adopted power law fluctuations of the velocity spectra in simulating individual vehicle speed and the arrival of vehicles is considered to follow a Poisson process. We then simulate the realization of a random queue on vehicle lanes using the Monte Carlo framework. With this set up of the loading process, we choose a precise finite element technique for modeling of the orthotropic deck (steel). A linear dynamic time history analysis is performed under this loading. Finally, the probabilistic parameters of the response quantities are obtained from these time histories. Parametric sensitivity of the selected response quantities is also presented.