Uncertainty Theory-Based Structural Reliability Analysis and Design Optimization under Epistemic Uncertainty

Applied Sciences

Qingyuan Zhang¹  Ying Huang²  Meilin Wen²  Shuang Zhou²  Jianguo Zhang³ 

[1] School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China;Science and Technology on Reliability and Environmental Engineering Laboratory, Beihang University, Beijing 100191, China;

关键词: structural reliability;    uncertainty quantification;    epistemic uncertainty;    uncertainty theory;    reliability-based design optimization;   

DOI  :  10.3390/app12062846

来源: DOAJ

【 摘 要 】

Reliability analysis and trade-offs between safety and cost with insufficient data represent an inevitable problem during the early stage of structural design. In this paper, efficient uncertainty theory-based reliability analysis and a design method are proposed under epistemic uncertainty. The factors influencing the structure are regarded as uncertain variables. Based on this, a new metric termed uncertain measure is employed to define an uncertainty reliability indicator (URI) for estimating the reliable degree of structure. Two solving methods, namely, the crisp equivalent analytical method and uncertain simulation (US) method, are introduced to calculate the URI and acquire reliability. Thereafter, a URI-based design optimization (URBDO) model is constructed with target reliability constraints. To solve the URBDO model and obtain optimal solutions, crisp equivalent programming and a genetic-algorithm combined US approach are developed. Four physical examples are solved to verify the adaptability and advantage of the established model and corresponding solving techniques.

【 授权许可】

Unknown