| 结构可靠度的四阶矩分析法 |
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| 引用本文： | 李云贵,赵国藩.结构可靠度的四阶矩分析法[J].大连理工大学学报,1992,32(4):455-459. |
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| 作者姓名： | 李云贵 赵国藩 |
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| 作者单位： | 大连理工大学土木工程系
(李云贵)，大连理工大学土木工程系(赵国藩) |
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| 摘 要： | 应用最大熵理论构造了随机变量以其前四阶矩统计参数表达的概率密度函数，应用泰勒二次展开推导了结构功能函数前四阶矩的近似表达式，并用变分法给出了结构失效概率的离散化计算公式。分析结果表明，本文建议的方法具有较好的计算精度。
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| 关 键 词： | 结构可靠性 随机变量 矩 |
Reliability analysis of structures based on maximum entropy theory |
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| Li Yungui,Zhao Guofan.Reliability analysis of structures based on maximum entropy theory[J].Journal of Dalian University of Technology,1992,32(4):455-459. |
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| Authors: | Li Yungui Zhao Guofan |
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| Abstract: | The probability density function of a random variable expressed with its first four moments is constructed based on the maximum entropy theory. Approximate formulae of the first four mo- ments of the structural state function are derived by expanding the structural state function into a second-order Taylor series, and the dispersed formula of the structural failure probability is given by using calculus of variations. Analytic results show that the proposed method is accurate enough. |
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| Keywords: | structural reliability random variables moment entropy(mathematics) |
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