区间模糊混合不确定性下失效可能度界限求解的序列解耦法

doi:10.3901/JME.260134

机械工程学报 ›› 2026, Vol. 62 ›› Issue (4): 392-399.doi: 10.3901/JME.260134

• 交叉与前沿 • 上一篇

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区间模糊混合不确定性下失效可能度界限求解的序列解耦法

冯凯旋¹, 王璐², 史亚云¹

1. 西安交通大学航天航空学院西安 710049;
2. 西安航天动力研究所西安 710100

收稿日期:2025-02-08 修回日期:2025-08-26 发布日期:2026-04-02
作者简介:冯凯旋,男,1994年出生,博士,副教授。主要研究方向为复杂结构可靠性分析设计。E-mail:kaixuanfeng@xjtu.edu.cn
王璐,女,1993年出生,博士,工程师。主要研究方向为液体火箭发动机通用质量特性分析。E-mail:lu_wang56@163.com
史亚云(通信作者),女,1990年出生,博士,副教授。主要研究方向为考虑不确定性的复杂飞行器稳健优化设计。E-mail:yayunshi@xjtu.edu.cn
基金资助:
国家自然科学基金(52201289)和江苏省基础研究计划(BK20221095)资助项目。

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

FENG Kaixuan¹, WANG Lu², SHI Yayun¹

1. School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049;
2. Xi'an Aerospace Propulsion Institute, Xi'an 710100

Received:2025-02-08 Revised:2025-08-26 Published:2026-04-02

摘要/Abstract

摘要： 现有可靠性分析方法在处理区间模糊混合不确定性问题时并未深入探究区间和模糊变量对于结构失效边界的影响，因此指标建立和算法设计存在一定的局限性。针对该问题，首先建立用于定量衡量结构可靠性的指标-失效可能度界限，并发展求解该界限的双层优化方法。为进一步提升失效可能度界限的求解效率，重点提出求解该指标的序列解耦法。在优化求解失效可能度界限时，所提方法利用上一步迭代过程中的信息将原有的双层优化过程转化为两个优化问题的串行过程。通过对双层优化的序列解耦，所提方法有助于降低求解失效可能度界限的计算量。最后，使用三个算例验证了所提序列解耦法在可靠性分析中的精度和效率。所建立方法的主要创新点在于通过序列解耦策略降低了失效可能度界限的计算复杂度。

关键词: 区间和模糊混合不确定性, 失效可能度界限, 双层优化, 序列解耦

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

中图分类号:

TB114

冯凯旋, 王璐, 史亚云. 区间模糊混合不确定性下失效可能度界限求解的序列解耦法[J]. 机械工程学报, 2026, 62(4): 392-399.

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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区间模糊混合不确定性下失效可能度界限求解的序列解耦法

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

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