Abstract
For the composite glass box girder, the generalized Bayesian objective function of elastic constants of the structure was derived based on layered shell element theory. Mechanical performances of the composite glass box girder were solved by layered shell element method. Combined with quadratic parabolic interpolation search scheme of optimized step length, the adaptive Powell’s optimization theory was taken to complete the stochastic identification of elastic constants of composite glass box girder. Then the adaptive Powell’s identification steps of elastic constants of the structure were presented in detail and the adaptive Powell’s identification procedure was accomplished. From some classic examples, it is finally achieved that the adaptive Powell’s identification of elastic constants of composite glass box girder has perfect convergence and numerical stability, which testifies that the adaptive Powell’s identification theory of elastic constants of composite glass box girder is correct and reliable. The stochastic characteristics of systematic responses and elastic constants are well deliberated in generalized Bayesian objective function. And in iterative processes, the adaptive Powell’s identification is irrelevant with the complicated partial differentiation of the systematic responses from the layered shell element model to the elastic constants, which proves high computation efficiency.
Highlights
Box-section girder bridge refers to the girder bridge whose main girder is in the form of thin-walled closed cross-section
Two or more spans of continuous box girder bridges belong to statically indeterminate system [9,10,11]
Assuming the priori information Z 0 of the elastic constants Z of the composite glass box structure is irrelative with the measured systematic response data W *, from Eq (9) the variance of Zcan be written as: Substituting Eqs. (2-3) into Eq (1), the generalized Bayesian objective function J and the partial differentiation of the function J to the elastic constants Z are obtained as: n
Summary
Box-section girder bridge refers to the girder bridge whose main girder is in the form of thin-walled closed cross-section. The layered shell element for the composite glass girder structure is analyzed and the generalized Bayesian objective function of elastic constants of the girder is deduced. 2. Generalized Bayesian objective function of elastic constants of composite glass box girder. Where: Z0 is the expectation vector and Cz is the covariance matrix of the elastic constants Z of composite glass box girder. If the ordinary Bayesian objective function is used to identify the elastic constants Z of the composite glass box girder, there is much repeated and worthless work [1921]. Assuming the priori information Z 0 of the elastic constants Z of the composite glass box structure is irrelative with the measured systematic response data W * , from Eq (9) the variance of Zcan be written as: Substituting Eqs. Using the non-singularity property of and CZ , Eq(10) is transformed into the summation form: C i n 1
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