Methods and Object-Oriented Software for FE Reliability and Sensitivity Analysis with Application to a Bridge Structure

• Published in: Journal of computing in civil engineering Vol. 21; no. 3; pp. 151 - 163
• Main Authors: Haukaas, Terje, Der Kiureghian, Armen
• Format: Journal Article
• Language: English
• Published: Reston, VA American Society of Civil Engineers 01-05-2007
• Subjects: Applied sciences; Bridges; Buildings. Public works; Computation methods. Tables. Charts; Exact sciences and technology; Stresses. Safety; Structural analysis. Stresses; TECHNICAL PAPERS; Computer programming; Structural response; Sensitivity analysis; Computer software; Structural reliability; Programming; Implementation; Finite element method; Bridges; Software tool; Building dynamics; Example; Object oriented; Numerical simulation; Application; Structural analysis; Road bridge
• ISSN: 0887-3801; 1943-5487
• DOI: 10.1061/(ASCE)0887-3801(2007)21:3(151)

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.