An efficient method for reliability-based design optimization of structures under random excitation by mapping between reliability and operator norm

Jiang, Y, Zhang, X, Beer, M ORCID: 0000-0002-0611-0345, Zhou, H and Leng, Y (2024) An efficient method for reliability-based design optimization of structures under random excitation by mapping between reliability and operator norm. Reliability Engineering and System Safety, 245. p. 109972.

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Abstract

Reliability-based design optimization (RBDO) can fulfill both reliability and economic requirements by considering the stochastic properties of structure and excitation. However, the computational efficiency of this optimization is hindered by the nested loops involved in reliability analysis and optimization processes. In order to overcome this limitation, a novel method is proposed for structures subjected to random excitation, which is based on the mapping between operator norm and reliability index. This approach necessitates effectuating the transformation of the optimization objective from reliability indexes to operator norms with a small number of samples, thereby eliminating the laborious process of nested loops. It can effectively solve design optimization problems with reliability constraints, particularly for structures with explicit structural response under random excitation. Four examples are presented to demonstrate the effectiveness and applicability of the proposed method.

Item Type:	Article
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	20 Feb 2024 08:22
Last Modified:	26 Feb 2024 03:24
DOI:	10.1016/j.ress.2024.109972
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3178789