Reliability analysis of nonlinear structural systems using response surface method
Year: 2000
Type: article
Abstract: The explicit expressions of performance or limit state functions are not available for most of realistic structural problems, particularly when nonlinear behavior needs to be incorporated in the formulation. Thus, the limit state functions may only be available in implicit or algorithmic forms such as finite element formulations. An efficient and accurate algorithm to estimate reliability of such structural systems is proposed in this paper. All the load and resistance-related parameters are modeled as realistically as possible and the uncertainty in them is also explicitly addressed. the proposed algorithm intelligently integrates the concepts of the response surface method, the finite element method, the first order reliability method, and the iterative linear interpolation scheme. To assure both computational efficiency and accuracy of the algorithm, two iterative response surface schemes are proposed using two-second order polynomials (with and without the cross terms) and a mixture of saturated and central composite designs. The algorithm is further elaborated with the help of two examples and is verified using the Monte Carlo simulation technique.
DOI: 10.1007/bf02830867
Author: Jungwon Huh
Institution: Yonsei University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $1,800
OpenAlex ID: W2153999309