A new sampling strategy for SVM-based response surface for structural reliability analysis

Alibrandi, Umberto, Alani, Amir and Ricciardi, Giuseppe (2015) A new sampling strategy for SVM-based response surface for structural reliability analysis. Probabilistic Engineering Mechanics, 41. pp. 1-12. ISSN 0266-8920

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To evaluate failure probability of structures in the most general case is computationally demanding. The cost can be reduced by using the Response Surface Methodology, which builds a surrogate model of the target limit state function. In this paper authors consider a specific type of response surface, based on the Support Vector Method (SVM). Using the SVM the reliability problem is treated as a classification approach and extensive numerical experimentation has shown that each type of limit state can be adequately represented; however it could require a high number of sampling points. This work demonstrates that, by using a novel sampling strategy based on sampling directions, it is possible to obtain a good approximation of the limit state without high computational complexity. A second-order polynomial SVM model has been adopted, so the need of determining free parameters has been avoided. However, if needed, higher-order polynomial or Gaussian kernel can be adopted to approximate any kind of limit state. Some representative numerical examples show the accuracy and effectiveness of the presented procedure.

Item Type: Article
Identifier: 10.1016/j.probengmech.2015.04.001
Keywords: Response Surface; SVM; Structural Reliability Analysis; Uncertainty; Design Point; FORM; Sampling Directions
Subjects: Construction and engineering > Built environment
Construction and engineering > Civil and structural engineering
Construction and engineering
Depositing User: Fabio Tosti
Date Deposited: 25 May 2016 23:38
Last Modified: 06 Feb 2024 15:44
URI: https://repository.uwl.ac.uk/id/eprint/2139

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