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Hybrid Probabilistic and Non-Probabilistic Dynamic Analysis of Vehicle-Bridge Interaction System with Uncertainties

A hybrid probabilistic interval dynamic analysis of vehicle-bridge interaction system with a mixture of random and interval properties is studied based on finite element analysis framework. A half car model is used to represent a moving vehicle and the bridge is modeled as a simply supported Euler-Bernoulli beam. The vehicle’s parameters are considered as interval variables and the bridge’s parameters are treated as random variables. The mathematical model of vehicle-bridge interaction system is established based on the finite element model. By introducing the random interval perturbation method into the dynamic analysis of vehicle-bride interaction system, the expressions for the mean value and variance of the bridge dynamic response are developed. Examples are used to illustrate the effectiveness of the presented method. The accuracy and effectiveness of the numerical results are verified by a hybrid simulation method combining direct simulations for interval variables and Monte-Carlo simulations for random variables.