A new method to optimize the truncated PCE order of collocation-based SRSM in reliability analysis and its application to geotechnical problems
ISSN: 0264-4401
Article publication date: 27 May 2021
Issue publication date: 7 December 2021
Abstract
Purpose
The collocation-based stochastic response surface method (CSRSM) is widely used in geotechnical reliability analyses due to its efficiency and accuracy. Determining the optimal truncated order of the associated polynomial chaos expansion (PCE) is important, as it may strongly affect the practical applicability of CSRSM.
Design/methodology/approach
This study investigates the performance of different optimal order selection strategies used in the CSRSM and proposes a new cross-order validation method. First, several methods commonly used for optimal order selection are briefly reviewed, and their merits and limitations for reliability analyses are discussed. Then, an improved optimal order selection method that achieves a better trade-off between efficiency and accuracy is proposed.
Findings
In total, ten simple mathematical examples from the literature are employed to perform a preliminary test on the proposed method, and a comparative study is conducted to demonstrate its advantages with respect to some other existing methods.
Practical implications
A total of three typical geotechnical problems are employed to demonstrate the performance of the proposed method in geotechnical practice.
Originality/value
An improved optimal order selection method that achieves a better trade-off between efficiency and accuracy is proposed. The threshold value of the deterministic coefficient used for the proposed method is discussed.
Keywords
Acknowledgements
This research was supported by the National Natural Science Foundation of China (Project Nos. 41977224, U19A20111 and 51809115), Sichuan Science and Technology Program (Project Nos. 2019YJ0405 and 2019YJ0534), State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (Project Nos. SKLGP2020Z013 and SKLGP2021K001), and the Spanish Ministry of Science and Innovation (Project No. PID2019-108060RB-I00). Their financial support is greatly appreciated.
Citation
Zeng, P., Li, T., Jimenez, R., Feng, X., Chen, Y. and Zhang, T. (2021), "A new method to optimize the truncated PCE order of collocation-based SRSM in reliability analysis and its application to geotechnical problems", Engineering Computations, Vol. 38 No. 10, pp. 4136-4156. https://doi.org/10.1108/EC-07-2020-0418
Publisher
:Emerald Publishing Limited
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