Narrow Reliability Bounds for Structural Systems
Narrow Reliability Bounds for Structural Systems
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DOI：
10.1080/03601217908905329
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发表时间：
1979
影响因子：
4.1
通讯作者：
O. Ditlevsen
中科院分区：
文献类型：
--
作者：
O. Ditlevsen
对于可能在几种可能模式中的任何一种模式下失效的结构系统，使用上下限技术可以大大简化可靠性分析。建立了基于所有单模态失效概率和所有双模态相交失效概率的一般界。对于单模态极限状态曲面是基本变量空间中的超平面的系统，模态安全裕度之间的相关性的简单几何解释与熟知的单模态可靠性指标的几何解释相结合，使得系统可靠性界限的实际计算变得容易。当基本变量的集合是联合正态分布时，情况尤其如此。实例表明，在高可靠性的实际重要领域，非常狭窄的界限，几乎是一致的。
ABSTRACT For structural systems that may fail in any one of several possible modes, reliability analysis is greatly simplified by use of upper and lower bound techniques. General bounds based on all the single mode failure probabilities and all the pairwise mode intersection failure probabilities are established. For systems where the single mode limit state surfaces are hyperplanes in the space of basic variables, a simple geometrical interpretation of the correlation between mode safety margins combined with a well-known geometrical interpretation of the single mode reliability index makes the practical calculation of the system reliability bounds easy. This is particularly true when the set of basic variables is jointly normally distributed. Examples show very narrow bounds which, in the practically important domain of high reliability, are almost coincident.