| 基于方向向量模拟技术的结构系统可靠性评价 |
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| 引用本文： | 张良欣,胡云昌.基于方向向量模拟技术的结构系统可靠性评价[J].固体力学学报,2001,22(3):247-255. |
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| 作者姓名： | 张良欣 胡云昌 |
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| 作者单位： | 天津大学建筑工程学院 |
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| 基金项目： | 国家博士后基金 ([1998]6号 ,第 2 3批 )资助项目 |
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| 摘 要： | 对结构系统可靠性分析中的方向向量模拟方法进行了研究，指出一般方向向量模拟方法的不足，给出一个精度较高的结构失效概率近似积分公式，对示性函数Ig(r)]的几何意义进行了阐述，提出了一种生成服从n(n≥2）维单位球面上均匀分布的随机方向向量样本而不依赖于分布的方法，该方法简单易行，从教学上给出了严格证明。数值算例表明了该方法的有效性和广泛的适用性。
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| 关 键 词： | Monte－Carlo模拟法 方向向量模拟方法 可靠性指标 失效概率近似积分分工 示性函数 结构系统 |
| 修稿时间： | 1999年11月22 |
RELIABILITY ASSESSMENT OF STRUCTURAL SYSTEMS BASED ON DIRECTIONAL VECTOR SIMULATION TECHNIQUE |
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| Zhang Liangxin,Hu Yunchang.RELIABILITY ASSESSMENT OF STRUCTURAL SYSTEMS BASED ON DIRECTIONAL VECTOR SIMULATION TECHNIQUE[J].Acta Mechnica Solida Sinica,2001,22(3):247-255. |
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| Authors: | Zhang Liangxin Hu Yunchang |
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| Abstract: | The improved directional vector simulation method for analyzing the reliability of structural systems failure probability is studied.The defects of the general directional vector simulation method are pointed out, and a new higher accuracy approximate integral formula of structural systems failure probability is constructed. A new geometric meaning of characteristic function is obtained. A new simple method of generating uniformly distributed random vector samples in n dimensional unit hyper spherical surface is put forward and is proved strictly. Numerical calculations of several examples are conducted in order to show the applicability and effectiveness of the suggested approach to structural systems reliability problems. |
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| Keywords: | Monte Carlo simulation directional vector simulation reliability index characteristic function approximate integral formula of failure probability |
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