A direct analytical derivation of the multi-dimensional fragility spaces of structures under nonstationary mainshock-multi-aftershock sequences

IF 3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Probabilistic Engineering Mechanics Pub Date : 2024-04-01 DOI:10.1016/j.probengmech.2024.103630
Xu-Yang Cao , De-Cheng Feng
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Abstract

Performance-based earthquake engineering (PBEE) is a popular direction in the earthquake community, and at this stage, risk-based PBEE has become mainstream. In the risk-based probabilistic framework, seismic fragility analysis constitutes the most important link, and corresponding research on the mainshock–aftershock sequence has received widespread attention in recent years. Since a mainshock is often accompanied by multiple aftershocks and there is great uncertainty in the vibration characteristics of aftershocks, a seismic fragility analysis of structures under a stochastic mainshock-multi-aftershock sequence is meaningful and necessary. The corresponding questions, such as how to derive the multi-dimensional analytical fragility form under a stochastic mainshock-multi-aftershock sequence and how to correlate multiple intensity measures with multiple demand parameters, still require further investigation. In this paper, a direct analytical derivation of the multi-dimensional seismic fragility spaces of structures under nonstationary stochastic mainshock-multi-aftershock sequences is introduced. The methodology framework, implementation steps, and application examples are also provided in detail. Moreover, two scenarios, the one-mainshock-one-aftershock and one-mainshock-two-aftershocks, are considered, and the obtained multi-dimensional analytical fragility spaces for both scenarios are validated. In general, the matching accuracy of the fragility results for both scenarios is proven to be high, and the direct analytical derivation of the multi-dimensional fragility spaces is validated to be ideally consistent, which further provides a reference for multi-dimensional risk analysis under nonstationary stochastic mainshock-multi-aftershock sequences in future work.

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非稳态主震-多余震序列下结构多维脆性空间的直接分析推导
基于性能的地震工程(PBEE)是地震界的一个热门方向,现阶段,基于风险的 PBEE 已成为主流。在基于风险的概率框架中,地震脆性分析是最重要的一环,相应的主震-余震序列研究近年来受到广泛关注。由于一次主震往往伴随多次余震,而余震的振动特征又存在很大的不确定性,因此对随机主震-多次余震序列下的结构进行地震脆性分析是有意义和必要的。相应的问题,如如何推导随机主震-多余震序列下的多维分析脆性形式,如何将多种烈度度量与多种需求参数相关联等,仍需要进一步研究。本文介绍了非稳态随机主震-多余震序列下结构多维地震脆性空间的直接分析推导。本文还详细介绍了方法框架、实施步骤和应用实例。此外,还考虑了一次主震-一次余震和一次主震-两次余震两种情况,并对两种情况下获得的多维分析脆性空间进行了验证。总体而言,两种情况下脆性结果的匹配精度都很高,多维脆性空间的直接分析推导也验证了其理想一致性,这为今后非平稳随机主震-多余震序列下的多维风险分析提供了参考。
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来源期刊
Probabilistic Engineering Mechanics
Probabilistic Engineering Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
15.40%
发文量
98
审稿时长
13.5 months
期刊介绍: This journal provides a forum for scholarly work dealing primarily with probabilistic and statistical approaches to contemporary solid/structural and fluid mechanics problems encountered in diverse technical disciplines such as aerospace, civil, marine, mechanical, and nuclear engineering. The journal aims to maintain a healthy balance between general solution techniques and problem-specific results, encouraging a fruitful exchange of ideas among disparate engineering specialities.
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