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基于区域分解的结构动力学系统首次穿越失效

任丽梅 徐伟

任丽梅, 徐伟. 基于区域分解的结构动力学系统首次穿越失效[J]. 力学学报, 2013, 45(3): 421-425. doi: 10.6052/0459-1879-12-355
引用本文: 任丽梅, 徐伟. 基于区域分解的结构动力学系统首次穿越失效[J]. 力学学报, 2013, 45(3): 421-425. doi: 10.6052/0459-1879-12-355
Ren Limei, Xu Wei. FIRST PASSAGE PROBABILITIES OF STRUCTURAL DYNAMICS SYSTEM BASED ON DOMAIN DECOMPOSITION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 421-425. doi: 10.6052/0459-1879-12-355
Citation: Ren Limei, Xu Wei. FIRST PASSAGE PROBABILITIES OF STRUCTURAL DYNAMICS SYSTEM BASED ON DOMAIN DECOMPOSITION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(3): 421-425. doi: 10.6052/0459-1879-12-355

基于区域分解的结构动力学系统首次穿越失效

doi: 10.6052/0459-1879-12-355
基金项目: 国家自然科学基金(10932009,11172233)和长安大学中央高校专项基金(CHD2011JC019)资助项目.
详细信息
    通讯作者:

    任丽梅,主要研究方向:非线性随机动力学.E-mail:renlm1014@126.com

  • 中图分类号: O324

FIRST PASSAGE PROBABILITIES OF STRUCTURAL DYNAMICS SYSTEM BASED ON DOMAIN DECOMPOSITION

Funds: The project was supported by the National Natural Science Foundation of China (10932009, 11172233) and the Special Fund of Chang'an University (CHD2011JC019).
  • 摘要: 提出了高斯白噪声激励的线性及非线性结构动力学系统的首次穿越失效概率的估计方法. 对于线性结构动力学系统,失效区域被分解为互斥的基本失效域之和,每个基本失效域可用其设计点完全描述,并以正态分布代替卡方分布估计失效概率中的参数. 对于非线性结构动力学系统,基于Rice穿越理论,将非线性方程转化为与之具有相同平均上穿率的线性化方程,然后利用文中方法对等效线性化方程估计首穿失效概率. 最后给出了线性及非线性结构动力学系统的数值例子,并将所提方法与蒙特卡罗法及重要样本法相比较,模拟结果显示了方法的正确性与有效性.

     

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  • 被引次数: 0
出版历程
  • 收稿日期:  2012-12-12
  • 修回日期:  2013-02-13
  • 刊出日期:  2013-05-18

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