Stochastic Gradient Optimization Method of Mechanical Parameters of Prestressed Concrete U Shaped Girder with Gaussian Objective Function

Abstract

U shaped girder is a kind of low height bridge. The application of concrete U shaped girder is wide in highway and urban bridge. In general, it is composed of concrete and steel and compared with the mechanical analysis, little research has been carried on the inverse model of elastic modulus of U shaped girder. With degraded solid element theory, the shell element is deduced and the displacement function is obtained. Then Gaussian objective function of mechanical parameters of the reinforced concrete U shaped girder is founded and the corresponding formulas of Gaussian expectation and variance are derived. The stochastic optimization estimation computing formulas are also obtained by adopting optimization method including Powell gradient method. Then the steps of stochastic Gaussian optimized estimation of mechanical parameters of the reinforced concrete U shaped girder are listed. In this paper, a reliable calculation method is provided by researching the mechanical properties for prestressed concrete continuous U shaped girder.