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论文:2016,Vol:34,Issue(1):139-146 |
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引用本文： |
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王若冰, 谷良贤, 龚春林. 随机-区间混合不确定性分层序列化多学科可靠性分析方法[J]. 西北工业大学学报 |
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Wang Ruobing, Gu Liangxian, Gong Chunlin. A Stratified Sequencing Multi-disciplinary Reliability Analysis Method under Random and Interval Uncertainty[J]. Northwestern polytechnical university |
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| 随机-区间混合不确定性分层序列化多学科可靠性分析方法 |
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| 王若冰, 谷良贤, 龚春林 |
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| 西北工业大学 航天飞行动力学技术重点实验室, 陕西 西安 710072 |
| 摘要: |
| 针对多学科问题中随机型与区间型不确定性共存的可靠性分析问题,基于序列化变量处理框架,将原问题分解为区间可靠性分析和概率可靠性分析2个子问题,并建立相应的求解过程。其中,在区间可靠性分析中引入了学科间一致性约束,减轻多学科耦合分析带来的计算负担;在可靠性分析中集成先进均值法、圆弧搜索法和有效集拟牛顿法,构造了一套渐进收敛的处理策略。最后,基于宽容分层思想构造两个子过程的迭代关系,实现随机型和区间型不确定性的同时处理。采用1个数值算例和1个飞行器多学科可靠性分析应用算例,从不同角度验证所提出方法的有效性。结果表明:求解效率比已有方法有所提高,且该方法对各种约束函数的可靠性分析问题的适应性能力更强。 |
| 关键词:
混合不确定性
多学科系统
可靠性分析
区间极值分析
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| A Stratified Sequencing Multi-disciplinary Reliability Analysis Method under Random and Interval Uncertainty |
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| Wang Ruobing, Gu Liangxian, Gong Chunlin |
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| National Key Laboratory of Aerospace Flight Dynamics, Northwest Polytechnical University, Xi'an 710072 |
| Abstract: |
| For the reliability analysis problems in multidisciplinary systems with stochastic and interval uncertainty models in coexistence, based on the sequence of variable processing framework, the original problem is decomposed into the interval reliability analysis and probabilistic reliability analysis sub-problems, and the corresponding solution procedure is established. Among them, interdisciplinary consistency constraints are introduced into the interval reliability analysis to reduce the calculation burden of multidisciplinary coupling analysis; advanced mean value method, arc search method and active set quasi Newton method are integrated into reliability analysis process to construct a set of asymptotic convergence processing strategy. Finally, we build the iterative relationship between the two sub-processes based on the idea of tolerance hierarchical structure and process random and interval uncertainty simultaneously. A numerical example and a reliability analysis application in multidisciplinary system of flight vehicle are demonstrated to verify the validity of the proposed method from different aspects. Simulation results show that the efficiency is increased and adaptability is rather strong in the mode of various initial values and design points. |
| Key words:
reliability analysis
stochastic models
computational efficiency
adaptive systems
calculations
computer simulation
Monte Carlo methods
MRA(Multi-disciplinary Reliability Analysis)
hybrid uncertainty
interval extreme analysis
multi-disciplinary system
PMA(Performance Measurement Approach)
SSL(Sequential Single Loop)
AMV(Advanced Mean Value)
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| 收稿日期: 2015-09-22
修回日期:
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| DOI: |
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| 作者简介: 王若冰(1986-),西北工业大学博士研究生,主要从事飞行器多学科设计优化、可靠性优化设计研究。
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参考文献: |
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