Abstract
For curve indeterminate box girder, updated Bayes identification model of displacement constants was derived and studied with the variable-scale optimization theory. First, the updated Bayes objective function of displacement constants of the structure was founded. The gradient matrix of the objective function to displacement constants and the calculative covariance matrix were both deduced. Then, with finite curve strip element method, mechanical analysis of curve indeterminate box girder was completed. With automatic search scheme of quadratic parabola interpolation for optimal step length, the variable scale theory was utilized to optimize the updated Bayes objective function. Then, the identification steps were expounded, and the identification procedure was developed. Through typical examples, it is achieved that the updated Bayes identification model of displacement constants has numerical stability and perfect convergence. The stochastic performances of systematic parameters and systematic responses are simultaneously deliberated in updated Bayes objective function, which can synchronously take the actual measured information at different times into account. The variable-scale optimization method continually changes the spatial matrix scale to generate renewed search directions during the iterations, which certainly accelerates the identification of the displacement constants.
Highlights
The curve indeterminate box girder is commonly used in civil engineering, and especially, the curve indeterminate box girder often appears in bridge engineering
The updated Bayes objective function can tackle the measured systematic responses of different times and different spots simultaneously, which can consider the randomness of the displacement constants and systematic responses accurately
The results indicate that whether the initial constant values are close to the actual parameter values or not, the convergence of the mechanical identification model is unassociated with the initial constant values
Summary
The curve indeterminate box girder is commonly used in civil engineering, and especially, the curve indeterminate box girder often appears in bridge engineering. Keywords Updated Bayes theory, curve indeterminate box girder, identification, variable-scale optimization theory, displacement constants The gradient optimization methods such as the variable-scale optimization method can smooth over the defect just disserted to a certain extent.[15,16,17,18,19] The motivation of this article is how to derive the mechanical identification model of displacement constants of curve indeterminate box girder with updated Bayes theory.
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