Reliability analysis of nonlinear structural systems using response surface method

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.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 7 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.