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

verfasst von: Youbao Jiang, Xuyang Zhang, Michael Beer, Hao Zhou, Yu Leng
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.
Organisationseinheit(en): Institut für Risiko und Zuverlässigkeit
Externe Organisation(en): Changsha University of Science and Technology
The University of Liverpool
Typ: Artikel
Journal: Reliability Engineering and System Safety
Band: 245
Anzahl der Seiten: 12
ISSN: 0951-8320
Publikationsdatum: 05.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Sicherheit, Risiko, Zuverlässigkeit und Qualität, Wirtschaftsingenieurwesen und Fertigungstechnik
Elektronische Version(en): https://doi.org/10.1016/j.ress.2024.109972 (Zugang: Geschlossen)

BibTeX

@article{088e3aeeec6c41b9a2be9cf3b6e13ca8,
title = "An efficient method for reliability-based design optimization of structures under random excitation by mapping between reliability and operator norm",
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.",
keywords = "Dynamic reliability, Function fitting, Operator norm, Random excitation, Reliability-based design optimization",
author = "Youbao Jiang and Xuyang Zhang and Michael Beer and Hao Zhou and Yu Leng",
note = "Funding Information: The research is supported by the Provincial Natural Science Foundation of Hunan, China (Grant No.2022JJ10050), and the National Natural Science Foundation of China (Grant No.52378126), and the Provincial Natural Science Foundation of Hunan, China (Grant No.2023JJ40036). ",
year = "2024",
month = may,
doi = "10.1016/j.ress.2024.109972",
language = "English",
volume = "245",
journal = "Reliability Engineering and System Safety",
issn = "0951-8320",
publisher = "Elsevier Ltd.",
}