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《Chinese Journal of Aeronautics》 2017年04期
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A new structural reliability index based on uncertainty theory

Pidong WANG  Jianguo ZHANG  Hao ZHAI  Jiwei QIU  
【摘要】:The classical probabilistic reliability theory and fuzzy reliability theory cannot directly measure the uncertainty of structural reliability with uncertain variables, i.e., subjective random and fuzzy variables. In order to simultaneously satisfy the duality of randomness and subadditivity of fuzziness in the reliability problem, a new quantification method for the reliability of structures is presented based on uncertainty theory, and an uncertainty-theory-based perspective of classical Cornell reliability index is explored. In this paper, by introducing the uncertainty theory, we adopt the uncertain measure to quantify the reliability of structures for the subjective probability or fuzzy variables, instead of probabilistic and possibilistic measures. We utilize uncertain variables to uniformly represent the subjective random and fuzzy parameters, based on which we derive solutions to analyze the uncertainty reliability of structures with uncertainty distributions. Moreover, we propose the Cornell uncertainty reliability index based on the uncertain expected value and variance.Experimental results on three numerical applications demonstrate the validity of the proposed method.
【作者单位】School
【关键词】Belief degree Reliability index Structural reliability Uncertain measure Uncertain variable
【基金】:co-supported by the National Natural Science Foundation of China (Nos. 51675026 and 71671009) the National Basic Research Program of China (No. 2013CB733002)
【分类号】:TB114.3
【正文快照】:
1.Introduction Reliability analysis has been a hot research topic in recent years,as the influences of uncertainty arising on loads,mate- rial properties,dimensions,and geometries become more and more profound.1This topic has a wide range of applicatio

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