| 基于改进降维法的可靠度分析 |
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| 引用本文： | 张凯,李刚.基于改进降维法的可靠度分析[J].计算力学学报,2011,28(2):187-192. |
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| 作者姓名： | 张凯 李刚 |
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| 作者单位： | 大连理工大学工程力学系工业装备结构分析国家重点实验室,大连,116023 |
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| 基金项目： | 973计划课题(2006CB705403);国家自然科学基金(90815023 和10721062)资助项目. |
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| 摘 要： | 单变量维数缩减法可以高效、准确地进行结构响应矩的分析.与传统的一阶可靠度算法FORM(First Order Reliability Method),二阶可靠度算法SORM(Second Order Reliability Method)相比,该方法不需要响应的导数,也不需要迭代搜索最可能失效点.然而近期的研究发现,该...
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| 关 键 词： | 可靠度 降维法 基于矩的积分法 Pearson系统 |
| 收稿时间： | 2009/10/9 0:00:00 |
| 修稿时间： | 5/5/2010 12:00:00 AM |
Reliability analysis based on the improved dimension reduction method |
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| ZHANG Kai and LI Gang.Reliability analysis based on the improved dimension reduction method[J].Chinese Journal of Computational Mechanics,2011,28(2):187-192. |
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| Authors: | ZHANG Kai and LI Gang |
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| Institution: | Department of Engineering Mechanics, The State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China;Department of Engineering Mechanics, The State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | The Univariate Dimension Reduction Method (DRM) can be used to calculate the moments of response efficiently and accurately. Compared to the FORM (First Order Reliability Method) and SORM (Second Order Reliability Method), the DRM does not need the derivative of the response and the iteration searching for the MMP. However, in some recent researches, the Moment Based Quadrature Rule (MBQR) in the DRM was found to be numerically instable when solving a system of linear equations after increasing the integration points. A Normalized Moment Based Quadrature Rule (IMBQR) is proposed to solve this problem and the Pearson system is taken to generate the probability density function (PDF) of the response. The failure probability is calculated with the PDF obtained by Pearson system. Numerical examples demonstrate the accuracy and efficiency of the proposed approach. |
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| Keywords: | reliability dimension reduction method Moment Based Quadrature Rule (MBQR) pearson system |
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