The One Dimensional Finite Element Computation And Reliability Analysis Of Thin-Walled Curved Box Girders

The one dimensional discretized finite element equation of thin-walled curved box girders is consummated in this dissertation. On the basis of it and the random fields theory, stochastic variational principle, Monte Carlo method, and reliability theory numerical methods , the stochastic structural analysis of thin-walled curved box girders is established, and applied to the reliability analysis successfully. The main contributions of the thesis are as follows:1. The computational principle of curved beam is summarized in this thesis. According to the reasonable suppose, the three-dimensional problem degenerate to the one-dimensional problem.On the basis of Umansckey's second theory and the principle of energy variation, the one dimensional discretized finite element equation and the corresponding structure model are established for the thin-walled curved box girders with considering the shear lag..2. Based on the local average theory of random fields, the computation formulas for discretized random fields is established. Combining the stochastic variational principle with the thin-walled curved box girders theory, the one-dimensional stochastic finite element method for thin-walled curved box...