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)