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A Hybrid Approach for the Dynamic Instability Analysis of Single-Layer Latticed Domes with Uncertainties
International Journal of Structural Stability and Dynamics ( IF 3.0 ) Pub Date : 2021-03-22 , DOI: 10.1142/s0219455421500826
Ning An 1, 2 , Huidong Zhang 1, 2 , Xinqun Zhu 3 , Fei Xu 1, 2
Affiliation  

Currently, there is no unified criterion to evaluate the failure of single-layer latticed domes, and an accurate nonlinear time-history analysis (NTHA) is generally required; however, this does not consider the uncertainties found in practice. The seismic instability of domes subjected to earthquake ground motions has not been thoroughly investigated. In this paper, a new approach is developed to automatically capture the instability points in the incremental dynamic analysis (IDA) of single-layer lattice domes by integrating different efficient and robust methods. First, a seismic fragility analysis with instability parameters is performed using the bootstrap calibration method for the perfect dome. Second, based on the Sobol sequence, the quasi-Monte Carlo (QMC) sampling method is used to efficiently calculate the failure probability of the dome with uncertain parameters, in which the truncated distributions of random parameters are considered. Third, the maximum entropy principle (MEP) method is used to improve the computational efficiency in the analyses of structures with uncertainties. Last, the uncertain interval of the domes is determined based on the IDA method. The proposed method has been used to investigate the instability of single-layer lattice domes with uncertain parameters. The results show that it can determine the probability of structural failure with high efficiency and reliability. Additionally, the limitations of the proposed method for parallel computation are discussed.

中文翻译:

具有不确定性的单层网状圆顶动态不稳定性分析的混合方法

目前,单层网状拱顶的失效评价没有统一的标准,一般需要进行精确的非线性时程分析(NTHA);然而,这并没有考虑在实践中发现的不确定性。受地震地面运动影响的圆顶的地震不稳定性尚未得到彻底研究。在本文中,开发了一种新方法,通过集成不同的高效和稳健的方法,自动捕获单层格子穹顶增量动态分析(IDA)中的不稳定点。首先,使用自举校准方法对完美圆顶进行具有不稳定参数的地震脆性分析。二、基于Sobol序列,准蒙特卡洛(QMC)采样方法用于有效计算不确定参数的圆顶失效概率,其中考虑了随机参数的截断分布。第三,最大熵原理(MEP)方法用于提高不确定结构分析的计算效率。最后,基于IDA方法确定圆顶的不确定区间。所提出的方法已用于研究具有不确定参数的单层晶格圆顶的不稳定性。结果表明,它可以高效可靠地确定结构失效的概率。此外,讨论了所提出的并行计算方法的局限性。其中考虑了随机参数的截断分布。第三,最大熵原理(MEP)方法用于提高不确定结构分析的计算效率。最后,基于IDA方法确定圆顶的不确定区间。所提出的方法已用于研究具有不确定参数的单层晶格圆顶的不稳定性。结果表明,它可以高效可靠地确定结构失效的概率。此外,讨论了所提出的并行计算方法的局限性。其中考虑了随机参数的截断分布。第三,最大熵原理(MEP)方法用于提高不确定结构分析的计算效率。最后,基于IDA方法确定圆顶的不确定区间。所提出的方法已用于研究具有不确定参数的单层晶格圆顶的不稳定性。结果表明,它可以高效可靠地确定结构失效的概率。此外,讨论了所提出的并行计算方法的局限性。圆顶的不确定区间基于 IDA 方法确定。所提出的方法已用于研究具有不确定参数的单层晶格圆顶的不稳定性。结果表明,它可以高效可靠地确定结构失效的概率。此外,讨论了所提出的并行计算方法的局限性。圆顶的不确定区间基于 IDA 方法确定。所提出的方法已用于研究具有不确定参数的单层晶格圆顶的不稳定性。结果表明,它可以高效可靠地确定结构失效的概率。此外,讨论了所提出的并行计算方法的局限性。
更新日期:2021-03-22
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