| 非线性结构动力学系统的首次穿越 |
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| 引用本文： | 任丽梅,徐伟,李战国. 非线性结构动力学系统的首次穿越[J]. 振动与冲击, 2013, 32(4): 163-166. DOI: |
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| 作者姓名： | 任丽梅 徐伟 李战国 |
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| 作者单位： | 西北工业大学理学院, 陕西 西安710072 |
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| 基金项目： | 国家自然科学基金资助项目(10932009,11172233) |
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| 摘 要： | 在结构动力学系统的可靠性分析中，动力学系统的首次穿越失效一直是研究重点问题之一。在
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| 关 键 词： | 首穿失效概率 重要样本法 平均上穿率 等效线性化 |
| 收稿时间： | 2012-06-12 |
| 修稿时间： | 2012-09-26 |
An important sampling procedure for estimating failure probabilities of non-linear dynamic systems |
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| REN Li-mei,XU Wei,LI Zhan-guo. An important sampling procedure for estimating failure probabilities of non-linear dynamic systems[J]. Journal of Vibration and Shock, 2013, 32(4): 163-166. DOI: |
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| Authors: | REN Li-mei XU Wei LI Zhan-guo |
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| Affiliation: | School of Science，Northwestern Polytechnical University，Xi’an 710072，China |
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| Abstract: | The failure probability is one of the most important reliability measures in structural reliability assessment of dynamical systems. This paper suggests a procedure for estimating failure probabilities of non-linear systems based on importance sampling technique. Firstly ,by used of Rice formula，the paper obtains the equivalent linear version of the non-linear systems. The paper uses design point of the equivalent linear systems to construct control function. Secondly, an importance sampling technique is used in order to estimate excursion probabilities for the non-linear system. Finally, the paper takes Duffing oscillator for example. The simulation results show the method of the paper to be correct and effective. The number of samples and the computational time are reduced significantly compared with direct Monte Carlo simulations. |
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| Keywords: | First excursion probability Importance sampling Mean up-crossing rate |
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