Application of polynomial chaos expansion to reliability analysis of prestressed concrete roof girders

Abstract eng:
The paper is focused on the application of the surrogate model to reliability analysis of real structure. First, the basic theory of polynomial chaos expansion (PCe) is described. Usage of the PCe for moment and sensitivity analysis is then presented, which can be done efficiently by post-processing of explicit function without any additional computational demands. Implementation of theory into new software tool and its application on prestressed concrete roof girder failing in shear is presented in the last part of the paper. As can be seen in the example, PCe for reliability analysis represents very strong and efficient tool, especially for variance based sensitivity analysis and estimation of statistical moments.

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