Sequential Decoupling Method for Solving the Failure Possibility Bounds under Interval and Fuzzy Hybrid Uncertainties

doi:10.3901/JME.260134

Abstract

Abstract: Current reliability analysis methods do not thoroughly investigate the influence of interval and fuzzy variables on structural failure boundaries when handling interval and fuzzy hybrid uncertainties problems, thus leading to certain limitations in index establishment and algorithm design. To address this issue, the indices named failure possibility bounds are firstly established for quantitatively measuring structural reliability. Then, the double-loop optimization method is developed to estimate the failure possibility bounds. To further improve the efficiency of estimating the failure possibility bounds, a sequential decoupling method is innovatively proposed. When searching the failure possibility bounds by the optimization technique, the proposed method utilizes the information from the previous iteration process to transform the double-loop optimization process into a serial process of two optimization problems. By sequential decoupling the double-loop optimization, the proposed method helps to reduce the computational cost in estimating the failure possibility bounds. Finally, three examples are used to verify the accuracy and efficiency of the proposed sequential decoupling method in reliability analysis. The primary innovation of the proposed method lies in reducing the computational complexity of failure probability bounds through a sequential decoupling strategy.

Key words: interval and fuzzy hybrid uncertainties, failure possibility bounds, double-loop optimization method, sequential decoupling

CLC Number:

TB114

FENG Kaixuan, WANG Lu, SHI Yayun. Sequential Decoupling Method for Solving the Failure Possibility Bounds under Interval and Fuzzy Hybrid Uncertainties[J]. Journal of Mechanical Engineering, 2026, 62(4): 392-399.

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