Probabilistic interval stability assessment for structures with mixed uncertainty
Probabilistic interval stability assessment for structures with mixed uncertainty
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DOI：
10.1016/j.strusafe.2015.09.003
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发表时间：
2016
影响因子：
5.8
通讯作者：
Di Wu;W. Gao;Chongmin Song;S. Tangaramvong
中科院分区：
文献类型：
--
作者：
Di Wu;W. Gao;Chongmin Song;S. Tangaramvong
提出了一种新的混合概率和区间计算方法，用于对随机变量和区间变量混合的工程结构稳定性进行鲁棒评估。这种混合方法具有很大的灵活性，可以直接利用不确定系统参数的原始信息，从而提高结构安全评估的有效性。通过实现不同类型的不确定性，所提出的方法是能够单独调查的影响，随机和区间变量的整体结构稳定性。提出了一种统一的区间随机抽样（UISS）方法来计算统计特性（即，平均值和标准差）的线性分叉屈曲载荷的上下界。因此，工程结构的稳定性剖面对各种不确定性可以参数化地建立，这样的最大结构屈曲载荷在任何特定的百分位数的概率可以有效地确定的界限。理论和实际动机的工程结构已经通过严格建立相应的结构稳定性剖面进行了彻底的研究，因此所提出的方法的适用性和准确性可以得到严格的证明。
A new hybrid probabilistic and interval computational scheme is proposed to robustly assess the stability of engineering structures involving mixture of random and interval variables. Such hybrid approach possesses noticeable flexibility by directly implementing primitive information on uncertain system parameters, thus the validity of the structural safety assessment against uncertainties can be improved. By implementing the different types of uncertainties, the presented approach is able to separately investigate the effects of random and interval variables acting upon the overall structural stability. A unified interval stochastic sampling (UISS) approach is proposed to calculate the statistical characteristics (i.e., mean and standard deviation) of the lower and upper bounds of the linear bifurcation buckling load of engineering structure involving hybrid uncertain system parameters. Consequently, the stability profile of engineering structure against various uncertainties can be parametrically established, such that the bounds on the maximum structural buckling load at any particular percentile of probability can be effectively determined. Both academic and practically motivated engineering structures have been thoroughly investigated by rigorously establishing the corresponding structural stability profiles, so the applicability and accuracy of the proposed method can be critically justified.