基于失效域重构和重要抽样法的结构动力学系统首穿失效概率

任丽梅

doi:10.21656/1000-0887.390169

基于失效域重构和重要抽样法的结构动力学系统首穿失效概率

doi: 10.21656/1000-0887.390169

任丽梅

长安大学理学院, 西安 710064

基金项目: 国家自然科学基金(11402034)；陕西省自然科学基金(2018JM1045)

详细信息

作者简介:
任丽梅(1975—), 女,副教授, 博士(E-mail: renlm1014@126.com).

中图分类号: O327
计量
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- HTML全文浏览量: 173
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- 被引次数: 0
出版历程
- 收稿日期: 2018-06-19
- 修回日期: 2018-10-12
- 刊出日期: 2019-04-01

The First Passage Failure Probabilities of Dynamical Systems Based on the Failure Domain Reconstruction and Important Sampling Method

REN Limei

College of Science, Chang’an University, Xi’an 710064, P.R.China

Funds: The National Natural Science Foundation of China(11402034)

摘要

摘要: 对于线性动力学系统，重构系统失效域，利用基本失效域概率构造重要抽样密度函数，提出了基于重要抽样技术的首穿失效概率估计方法；对于非线性动力学系统，构建等效线性系统，线性化原理为线性与非线性系统对安全域边界具有相同的平均上穿率.最后给出Gauss(高斯)白噪声激励的线性与非线性系统的数值算例，并与Monte-Carlo(蒙特卡洛)方法及区域分解方法比较，结果显示该文方法是正确有效的.
- 结构动力学 /
- 首穿失效概率 /
- 重要抽样法 /
- 平均上穿率 /
- 互斥基本失效域
Abstract: For linear dynamical systems, the system failure domain was reconstructed, an important sampling density function was built with the probability of the basic failure domain and the important sampling simulation method was employed. For the nonlinear dynamical system, the equivalent linear system was constructed according to the principle that they have the same mean high level crossing rate for the specified threshold. Two numerical examples were given to demonstrate the accuracy and efficiency of the proposed method.
- structural dynamics /
- first passage failure probability /
- important sampling method /
- mean high level crossing rate /
- mutually exclusive domain

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参考文献(27)

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