A Stochastic Finite Element Model with Non-Gaussian Properties for Bridge-Vehicle Interaction Problem

摘要

A new Bridge-Vehicle interaction model based on finite element method with considerations on both the randomness of excitation forces and system parameters is given in this paper. The random properties included in the proposed model are assumed to be nonGaussian. The Karhumen-Loeve expansion and polynomial chaos expansion are employed to form a framework for the non-Gaussian processes and the stochastic equation of motion of system is transformed into a set of deterministic differential equations which can be easily solved by using a numerical method. The proposed method is compared with Monte Carlo method in numerical simulations with good agreements. The mean value and variance of the structural responses are found very accurate even for the case with large system uncertainties and excitation randomness.