Finite Element Analysis of Bridge-Vehicle System with Randomness

Abstract

This paper investigates the statistical dynamic behavior on the bridge-vehicle interaction problem with randomness in material properties and moving loads. The bridge is modeled as a beam with Gaussian random elastic modulus and mass density of material with random moving forces on top. The mathematical model of the bridge-vehicle system is established based on the finite element model in which the Gaussian random processes are represented by the Karhunen-Loéve expansion. Some statistical response such as the mean value and standard deviation of the deflections of the beam are obtained and checked by Monte Carlo simulation.