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A Structural Reliability Analysis Method Based on Radial Basis Function

M. Q. Chau1,2, X. Han1, Y. C. Bai1, C. Jiang1
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha city, P. R. China 410082
Department of Mechanical Engineering, Ho Chi Minh city University of Industry, Vietnam

Computers, Materials & Continua 2012, 27(2), 128-142. https://doi.org/10.32604/cmc.2012.027.128

Abstract

The first-order reliability method (FORM) is one of the most widely used structural reliability analysis techniques due to its simplicity and efficiency. However, direct using FORM seems disability to work well for complex problems, especially related to high-dimensional variables and computation intensive numerical models. To expand the applicability of the FORM for more practical engineering problems, a response surface (RS) approach based FORM is proposed for structural reliability analysis. The radial basis function (RBF) is employed to approximate the implicit limit-state functions combined with Latin Hypercube Sampling (LHS) strategy. To guarantee the numerical stability, the improved HL-RF (iHL-RF) algorithm is used to assess the reliability index and corresponding probability of failure based on the constructed RS model. The effectiveness of the proposed method is demonstrated through five numerical examples.

Keywords

structural reliability analysis, first-order reliability method, response surface method, radial basis function

Cite This Article

M. Q. Chau, X. Han, Y. C. Bai and C. Jiang, "A structural reliability analysis method based on radial basis function," Computers, Materials & Continua, vol. 27, no.2, pp. 128–142, 2012.

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This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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