Two Approximation Methods for Computing Structural System reliability
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摘要: 提出两种近似计算结构系统可靠性的新方法。以随机事件表示结构系统各失效模式的极限状态,利用事件概率计算方法,推导出计算系统可靠性的逐步累积计算法。通过对组成结构系统的功能函数的逐次等效替代,构建系统的等效线性功能函数,提出计算结构系统可靠性的逐次等效失效模式法。两种近似算法直接将系统可靠性复杂计算归结为低维标准正态分布概率积分累积计算,极大提高了计算效率,且具有较好的计算精度。算例表明两种方法均有效可行,简单实用。Abstract: The two new approximation algorithms are proposed to compute structural system reliability. After thelimit state of each failure mode is transformed to the random event, the first new method called successiveaccumulated computation method is derivated based on the event probability computation method. The other systemreliability estimation method is realized by building an equivalent linear failure mode of each system failure modestep by step, known as successive equivalent failure mode method. In the two methods above, the failureprobability of structural system is evaluated through the first-dimension and second-dimension standard normaldistribution functions without complex calculation effort. Compared with the some current methods, theircomputational efficiency is improved greatly. Finally examples show that the given two methods are simply, highefficiency and precise enough.
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Key words:
- approximation algorithms /
- probability /
- reliability
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