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论文:2012,Vol:30,Issue(5):675-680 |
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引用本文： |
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阮文斌, 吕震宙, 李露祎. 状态模糊情况下矩独立重要性测度及其态相关参数解法[J]. 西北工业大学 |
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Ruan Wenbin, Lu Zhenzhou, Li Luyi. An Effective MIIMSDP(Moment-Independent Importance Measure and State Dependent Parameter) Solution when Failure State is Fuzzy[J]. Northwestern polytechnical university |
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| 状态模糊情况下矩独立重要性测度及其态相关参数解法 |
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| 阮文斌, 吕震宙, 李露祎 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| 为了有效分析基本输入变量在状态模糊情况下对系统模糊失效概率的影响,通过比较条件模糊失效概率与无条件模糊失效概率之间的差异,定义了一种输入变量对模糊失效概率的矩独立重要性测度指标。所提指标不仅可以定量反映每个输入变量对模糊失效概率这种矩独立响应量的影响大小,而且通过解析变换,揭示了所提矩独立重要性测度指标与相应的基于方差的重要性测度指标之间的内在联系,并将所提矩独立重要性测度转化成基于失效域模糊隶属函数方差的重要性测度。基于这种转换及控制理论中的状态依存参数模型,建立了求解所提矩独立重要性测度指标的态相关参数(SDP)法,极大程度地提高了所提指标的计算效率。最后,针对3种不同的模糊失效域隶属函数形式,通过算例表明了所提的矩独立重要度指标的可行性、合理性以及态相关参数方法的精确与高效。 |
| 关键词:
模糊失效状态
灵敏度分析
可靠性
失效分析
矩独立
重要性测度
态相关参数法
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| An Effective MIIMSDP(Moment-Independent Importance Measure and State Dependent Parameter) Solution when Failure State is Fuzzy |
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| Ruan Wenbin, Lu Zhenzhou, Li Luyi |
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| College of Aeronautics,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| Sections 1 through 3 of the full paper explain the MIIHSDP solution method mentioned in the title, whichwe believe is effective and whose core consists of: "For analyzing the effect of input variables on fuzzy failure proba-bility when failure state is fuzzy, the difference between the conditional fuzzy failure probability and unconditionalone is employed to define a moment-independent importance measure index.The effect of the input variables on thefuzzy failure probability can be measured quantitatively by the defined index.An analytical transformation is presen-ted to reveal the inherent relation between the defined index and corresponding variance-based importance measureindex, on which the defined moment-independent importance measure is transformed to the variance-based one offuzzy failure state membership function.Based on this transformation and the state dependent parameter (SDP)model, the SDP method is established to estimate the defined moment-independent importance measure index, which can reduce the computational cost effectively."Section 3 presents two numerical examples, each of whichuses three different kinds of membership function forms.These results, presented in Tables 1 and 2, and their a-nalysis demonstrate preliminarily the feasibility and rationality of the defined moment-independent importance meas-ure index and the efficiency and precision of our SDP method. |
| Key words:
algorithms
calculations
computer simulation
efficiency
estimation
failure analysis
fuzzy sets
Kalman filters
mathematccal models
membership functions
Monte Carlo methods
numerical meth-ods
probability
reliability
schematic diagrams
sensitivity analysis;importance measure
state de-pendent parameter (SDP)
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| 收稿日期: 2011-11-14
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(51175425);航空基金(2011ZA53015)资助 |
| 通讯作者:
Email： |
| 作者简介: 阮文斌(1985-)，西北工业大学硕士研究生，主要从事飞行器可靠性设计研究。
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相关文献: |
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1．郝文锐, 吕震宙, 田龙飞.基于相关变量分解的重要性测度分析新方法[J]. 西北工业大学, 2012,30(1): 88-93 |
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