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基于逐步等效平面法的可靠性敏度分析方法

DOI: 10.3969/j.issn.1006-7043.201308057

Keywords: 可靠性分析, 灵敏度分析, 有限步长迭代法, 等效平面法

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Abstract:

为了提高可靠性灵敏度分析方法的计算精度和效率,基于有限步长迭代法和逐步等效平面法,提出了用于计算失效概率对随机变量的敏度值的方法。算例分析表明:无论安全余量是线性的还是非线性的,该方法都是可行且高效的;当安全余量为非线性时,该方法比基于Monte-Carlo的敏度分析方法更为高效,其计算结果比改进的一次二阶矩敏度分析方法更精确;将可靠性指标越高的安全余量安排在等效路径的前面,且将可靠性指标越低的安全余量安排在等效路径的后面,该方法的计算结果越精确。

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