Taylor Series Expansion for Statistical Analysis of Existing Concrete Bridge

Taylor Series Expansion for Statistical Analysis of Existing Concrete Bridge

Paper in proceedings (conference paper)

The paper is focused on semi-probabilistic assessment of existing prestressed concrete bridge using Taylor series expansion. Probabilistic assessment of existing structures represented by non-linear finite element models is computationally highly demanding and thus semi-probabilistic approach gets a growing attention in a recent decade. In semi-probabilistic approach, design value of resistance is estimated in a simplified way. For estimation of design value, it is crucial to estimate coefficient of variation of structural resistance with limited number of simulations. In this paper, recently proposed Taylor series expansion with adapted differentiation is employed and obtained results are compared to a reference solution obtained by latin hypercube sampling. Practical example is represented by an existing bridge structure failing in bending. It can be seen that results obtained by Taylor series expansion are in good agreement with reference solution but its efficiency is significantly higher. Moreover, it is shown that an accuracy of estimated variance can be easily improved by few additional samples in specific coordinates.

The paper is focused on semi-probabilistic assessment of existing prestressed concrete bridge using Taylor series expansion. Probabilistic assessment of existing structures represented by non-linear finite element models is computationally highly demanding and thus semi-probabilistic approach gets a growing attention in a recent decade. In semi-probabilistic approach, design value of resistance is estimated in a simplified way. For estimation of design value, it is crucial to estimate coefficient of variation of structural resistance with limited number of simulations. In this paper, recently proposed Taylor series expansion with adapted differentiation is employed and obtained results are compared to a reference solution obtained by latin hypercube sampling. Practical example is represented by an existing bridge structure failing in bending. It can be seen that results obtained by Taylor series expansion are in good agreement with reference solution but its efficiency is significantly higher. Moreover, it is shown that an accuracy of estimated variance can be easily improved by few additional samples in specific coordinates.

Concrete bridges; Estimation of coefficient of variation; Semi-probabilistic analysis; Taylor series expansion

Concrete bridges; Estimation of coefficient of variation; Semi-probabilistic analysis; Taylor series expansion

NOVÁK, L.; NOVÁK, D.

2022

29.08.2021

Springer Science and Business Media Deutschland GmbH

9783030918767

Proceedings of the 1st Conference of the European Association on Quality Control of Bridges and Structures

2366-2557

Lecture Notes in Civil Engineering

Swiss Confederation

228

235

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