| 引用本文: | 田四朋,任钧国,张书俊.稳态随机过程激励下基于首次超越破坏的结构优化设计.[J].国防科技大学学报,2002,24(5):5-9.[点击复制] |
| TIAN Sipeng,REN Junguo,ZHANG Shujun.First Passage Failure-Based Optimization of the Structuresunder Stationary Random Excitation[J].Journal of National University of Defense Technology,2002,24(5):5-9[点击复制] |
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| 稳态随机过程激励下基于首次超越破坏的结构优化设计 |
| 田四朋, 任钧国, 张书俊 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 把结构系统动力可靠性分析与最优化设计结合起来，以结构系统的最小质量为目标函数，给出了考虑在平稳随机过程激励下多自由度线性系统总的可靠性的结构优化设计方法。运用谱分析理论，推导了结构系统在平稳随机过程激励下响应的统计特征，同时结合首次超越破坏的Possion模型计算结构系统的可靠性，最终采用广义乘子法得到结构系统设计变量的最优值。计算结果表明该方法是可行的。 |
| 关键词: 随机过程 可靠性 优化 |
| DOI： |
| 投稿日期：2002-04-22 |
| 基金项目:国家部委基金资助项目(99J19.2.4.KG0143)；湖南省自然科学基金资助项目(OOJJY1001) |
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| First Passage Failure-Based Optimization of the Structuresunder Stationary Random Excitation |
| TIAN Sipeng, REN Junguo, ZHANG Shujun |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073,China)
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| Abstract: |
| Optimization and dynamic reliability analysis of the structural system are combined. A methodology of optimum design based total failure probability of the structural system with multi-degree freedom under stationary stochastic excitation is presented when minimum weight of the structure determined by design parameters is the objective function. According to the spectrum analysis theory, the statistical property of the response of structural system under stationary random excitation is analyzed. At the same time, Possion process model based on first passage failure is used to calculate the reliability of the structure, and the optimum design parameters are finally obtained through Hestenes-Powell (HP) method. The result of evaluated examples demonstrates that the method presented in this paper is effective. |
| Keywords: stochastic process reliability optimization |
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