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Methods and Object-Oriented Software for FE Reliability and Sensitivity Analysis with Application to a Bridge Structure
Authors:Terje Haukaas  Armen Der Kiureghian
Affiliation:1Assistant Professor, Dept. of Civil Engineering, Univ. of British Columbia, 6250 Applied Science Lane, Vancouver BC, Canada V6T 1Z4 (corresponding author). E-mail: terje@civil.ubc.ca
2Taisei Professor of Civil Engineering, Dept. of Civil and Environmental Engineering, Univ. of California at Berkeley, 721 Davis Hall, Berkeley, CA 94720-1710. E-mail: adk@ce.berkeley.edu
Abstract:This paper addresses the growing demand for finite-element software with capabilities to incorporate uncertainty in the input parameters. Reliability and response sensitivity algorithms are implemented in the general-purpose finite-element software OpenSees, which employs an object-oriented programming approach to achieve a sustainable software with focus on maintainability and extensibility. The product is a comprehensive and freely available library of software tools for finite-element reliability and response sensitivity analysis. A numerical example involving a detailed model of a highway bridge with inelastic material behavior and 320 random variables is presented to demonstrate features of the methodology and the software. Importance vectors are employed to rank the input parameters according to their relative influence on the structural reliability. The required response sensitivities are obtained by an extensive implementation of the direct differentiation method.
Keywords:Finite element method  Sensitivity analysis  Computer software  Computer programming  Bridges  Structural response  
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