TY - JOUR

T1 - An efficient method for reliability-based design optimization of structures under random excitation by mapping between reliability and operator norm

AU - Jiang, Youbao

AU - Zhang, Xuyang

AU - Beer, Michael

AU - Zhou, Hao

AU - Leng, Yu

N1 - 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).

PY - 2024/5

Y1 - 2024/5

N2 - 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.

AB - 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.

KW - Dynamic reliability

KW - Function fitting

KW - Operator norm

KW - Random excitation

KW - Reliability-based design optimization

UR - http://www.scopus.com/inward/record.url?scp=85184477654&partnerID=8YFLogxK

U2 - 10.1016/j.ress.2024.109972

DO - 10.1016/j.ress.2024.109972

M3 - Article

AN - SCOPUS:85184477654

VL - 245

JO - Reliability Engineering and System Safety

JF - Reliability Engineering and System Safety

SN - 0951-8320

M1 - 109972

ER -