【作者】 刘佩； 姚谦峰；

【Author】 Liu Pei,Yao Qianfeng (School of civil engineering and architecture,Beijing Jiaotong University,Beijing,100044)

【机构】 北京交通大学土木建筑工程学院；

【摘要】 子集模拟法在计算结构动力可靠度时适用范围较广,针对非线性结构小失效概率的计算效率较高。条件反应法可通过线性反应估计非线性反应,或通过单自由度结构的线性反应估计多自由度结构的线性反应。本文采用基于分裂路径的子集模拟法对条件反应法的子集序列进行求解;将条件反应法中互不相交的子集序列与子集模拟法中的划分序列建立关系,利用子集模拟法求解失效概率,大大减少了子集模拟法中非线性反应分析的次数或多自由度结构线性反应的求解次数,进一步提高了计算效率,并通过对子集序列的进一步划分来降低所选样本的聚集性。应用本文算法对受平稳高斯白噪声作用的单自由度Duffing非线性体系和多自由度线性结构进行计算,结果表明本文算法的计算效率对比Monte-Carlo法有显著提高,是计算小失效概率的高效算法。更多还原

【Abstract】 Subset simulation is a general method for structural dynamic reliability computation,and it is especially efficient for small failure probability computation of nonlinear structure.Linear response can be used to estimate nonlinear response,or linear response of single degree-of-freedom structure can be used to estimate linear response of multi-degree-of-freedom structure through response conditioning method.Subset simulation with splitting is used to solve the bins of response conditioning method in this paper.The nonoverlapping bins of response conditioning method are related to the sets of subset simulation method.Then the failure probability can be expressed through subset simulation method.The computational numbers of nonlinear structure response or multi-degree-of-freedom structure response are decreased obviously and the computational efficiency is increased further.Sub-binning strategy is used to avoid samples clustering around the higher probability regime within the bin.Single degree-of-freedom Duffing system and multi-degree-offreedom linear structure subjected to Gaussian white noise are calculated using the method proposed in this paper.Results show that the efficiency of the method proposed in this paper is increased obviously compared to Monte Carlo method.The method proposed in this paper isan efficient method for small failure probabilty computation.更多还原