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Vine-copula-based multi-dimensional fragility analysis of nuclear power plant under sequential earthquakes 基于藤状结构的核电站在连续地震下的多维脆性分析
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-06-10 DOI: 10.1016/j.strusafe.2024.102494
Meng-Ze Lyu , Zi-Jian Fei , De-Cheng Feng

Seismic resilience of critical infrastructure, such as nuclear power plants, is paramount in ensuring nuclear safety. This study presents a comprehensive analysis of the seismic fragility of nuclear power plants under sequential earthquakes, employing the innovative vine-copula theory. The methodology integrates advanced modeling techniques, including layered shell elements and plastic damage softening constitutive modeling, to capture the intricate behavior of nuclear power plants under seismic loading. The seismic sequence is derived from the Wenchuan earthquake data, considering both mainshocks and aftershocks. A set of random seismic peak ground accelerations (PGAs) is generated based on the distribution of giant earthquake PGAs. Utilizing seismic attenuation theory, corresponding random aftershock PGAs are generated. The resulting mainshock-aftershock sequence, modulated within the real seismic sequence, serves as the input for numerical simulations. The vine-copula theory is employed for multi-dimensional fragility analysis, providing a flexible framework to model the complex nonlinear dependencies among structural response parameters. The vine-copula model is applied to fit seismic response data, allowing the construction of fragility surfaces under sequential earthquakes. This approach, rooted in performance-based earthquake engineering (PBEE), enables a more realistic representation of the seismic risk profile. The findings demonstrate that seismic fragility trends for nuclear power plants increase with higher mainshock and aftershock intensity measures (IMs). The impact of aftershocks on the structural performance, often overlooked in traditional studies, is elucidated through the proposed methodology. The study contributes valuable insights into nuclear safety assessments by quantifying the influence of sequential earthquakes on the fragility of nuclear power plants.

核电站等关键基础设施的抗震能力对于确保核安全至关重要。本研究采用创新性的藤蔓理论,对核电站在连续地震下的抗震脆性进行了全面分析。该方法整合了先进的建模技术,包括分层壳元素和塑性损伤软化构成模型,以捕捉核电站在地震荷载下的复杂行为。地震序列来自汶川地震数据,同时考虑了主震和余震。根据巨震地面加速度峰值的分布,生成了一组随机地震地面加速度峰值(PGAs)。利用地震衰减理论,生成相应的随机余震峰值加速度。由此产生的主震-余震序列在实际地震序列中进行调制,作为数值模拟的输入。多维脆性分析采用了藤蔓-科普拉理论,为结构响应参数之间复杂的非线性依赖关系建模提供了一个灵活的框架。葡萄树-伞形花序模型用于拟合地震响应数据,从而构建连续地震下的脆性面。这种方法植根于基于性能的地震工程(PBEE),能够更真实地反映地震风险概况。研究结果表明,核电站的地震脆性趋势随着主震和余震烈度(IMs)的增加而增加。余震对结构性能的影响在传统研究中往往被忽视,而本研究提出的方法则阐明了这一点。这项研究通过量化连续地震对核电站脆性的影响,为核安全评估提供了宝贵的见解。
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引用次数: 0
Codes and standards for structural design - developments and future potential 结构设计规范和标准--发展和未来潜力
IF 5.7 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-06-09 DOI: 10.1016/j.strusafe.2024.102495
Jochen Köhler , John D. Sørensen , Bruce Ellingwood
To date our built environment is broadly developed and maintained on the basis of structural design standards. Most design standards contain simplified semi-probabilistic safety concepts that help daily structural engineering decision making using simple calculus. In this paper research about the rational basis for the calibration of these simplified code formats is reviewed and the potential for further developments is presented.
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引用次数: 0
Optimal design of experiments for computing the fatigue life of an offshore wind turbine based on stepwise uncertainty reduction 基于逐步减少不确定性的计算海上风力涡轮机疲劳寿命的优化实验设计
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-31 DOI: 10.1016/j.strusafe.2024.102483
Alexis Cousin, Nicolas Delépine, Martin Guiton, Miguel Munoz Zuniga, Timothée Perdrizet

The design of an offshore wind turbine to resist fatigue damage during its whole service life requires to estimate an expectation over the pluri-annual joint statistics of wind and wave variables. Using a full factorial-based integration for the estimation of the cumulative fatigue damage represents a tremendous computational cost with aero-servo-hydro-elastic solvers which is generally not affordable by industrial designers. To overcome this limitation, strong approximations with lumping of environmental discretized joint probability (scatter diagram) are generally employed. We present in this paper a new method, called MAKSUR, involving the iterative enrichment of a design of experiments tailored to provide a good approximation of the long term mean damage. This method relies on a Kriging response surface with a learning criterion defined as the variance of the mean damage integral. It is compared to another previous similar approach called AK-DA, also dedicated to damage prediction, but is shown to converge more efficiently and with less numerical parameters to define by the user. The potential of the method for offshore wind turbine is demonstrated by a realistic 6D floating wind turbine case study with six wind and wave input variables.

海上风力涡轮机在整个使用寿命期间的抗疲劳损伤设计需要估算出风和波浪变量的多年联合统计期望值。使用基于全因子的积分来估算累积疲劳损伤需要耗费巨大的气动液压弹性求解器计算成本,工业设计人员通常无法承受。为了克服这一局限性,通常采用环境离散联合概率(散点图)的强近似法。我们在本文中介绍了一种名为 MAKSUR 的新方法,该方法涉及对实验设计进行迭代丰富,以提供长期平均损伤的良好近似值。该方法依赖于克里金反应曲面,其学习标准定义为平均损伤积分的方差。该方法与之前的另一种类似方法 AK-DA 进行了比较,后者也专门用于损害预测,但收敛效率更高,用户可定义的数值参数更少。该方法在海上风力涡轮机中的应用潜力通过一个实际的 6D 漂浮式风力涡轮机案例研究得到了证明,该案例研究具有六个风力和波浪输入变量。
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引用次数: 0
The first-order time-variant reliability expansion method 一阶时变可靠性扩展法
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-23 DOI: 10.1016/j.strusafe.2024.102484
Weiwei Chen , Bingyu Ni , Wanyi Tian , Chao Jiang

Time-variant reliability problems are frequently encountered in engineering due to factors like material degradation or random loading modeled as random processes. The PHI2 method, which employs the First Order Reliability Method (FORM), is commonly used to solve such problems. However, it requires repeated searches for Most Probable Points (MPPs), making it computationally expensive. To improve efficiency with little sacrifice of accuracy, this study proposes a First Order Time-variant Reliability Expansion (FOTRE) method, which provides an efficient explicit formulation for MPP regarding time, in contrast to the expensive optimization approach of the PHI2 method. It requires only a single accurate search for the so-called “worst MPP” over the whole lifespan and offers the “adaptive accuracy of outcrossing rate”, which avoids the repeated search for MPPs ensuring computational accuracy. The inspiration behind the FOTRE method stems from the observation that the outcrossing rate tends to be small at time points with relatively large reliability indexes compared to the minimum reliability index βmin, which has a negligible impact on the subsequent structural failure probability over the entire lifespan. This innovative approach significantly improves the efficiency of solving time-variant reliability problems without compromising much of the numerical accuracy. The effectiveness and accuracy of the FOTRE method are demonstrated through several numerical examples.

由于材料退化或随机加载等因素,工程中经常会遇到时变可靠性问题。PHI2 方法采用一阶可靠性方法 (FORM),常用于解决此类问题。然而,这种方法需要反复搜索最可能点 (MPP),因此计算成本很高。为了在不牺牲精度的情况下提高效率,本研究提出了一阶时变可靠性扩展法(FOTRE),与 PHI2 方法昂贵的优化方法相比,该方法为 MPP 提供了一种高效的时间显式表述。该方法只需在整个生命周期内对所谓的 "最差 MPP "进行一次精确搜索,并提供 "外交率的自适应精度",从而避免重复搜索 MPP,确保计算精度。FOTRE 方法的灵感源于这样一个观察结果,即与最小可靠性指数 βmin 相比,在可靠性指数相对较大的时间点,外交率往往较小,这对随后整个寿命周期内的结构失效概率影响微乎其微。这种创新方法大大提高了时变可靠性问题的求解效率,同时又不影响数值精度。FOTRE 方法的有效性和准确性通过几个数值示例得到了证明。
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引用次数: 0
An appraisal of the LQI as an approach to setting target reliabilities in ISO 2394:2015 将 LQI 作为 ISO 2394:2015 中设定目标可靠性的一种方法的评估
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-12 DOI: 10.1016/j.strusafe.2024.102482
Baidurya Bhattacharya

The idea of coupling economics and safety into one optimization exercise, and hence deriving target reliabilities explicitly from socio-economic consequences of limit state violation, appeared in the JCSS Probabilistic Model Code around the turn of the century; the effort culminated in the form of a Life Quality Index (LQI)-based marginal lifesaving costs (MLSC) methodology in ISO 2394:2015 for determining maximum acceptable failure probabilities, pT, in life safety limit states for civil engineering structures across all nations. Unfortunately, while the methodology does yield adequate levels of safety when applied to structures in the developed countries, the recommended values of pT turn out to be one to two orders of magnitude higher, and unacceptable to every known standard in the world including its own earlier edition (ISO 2394:1998) when applied to structures in the developing world (exemplified by India) with identical functions and expected fatalities. This arises from two shortcomings: (1) an MLSC approach is generally unable to provide an independent constraint on monetary optimization, and (2) the LQI-based measure of MLSC constraint is strongly dependent on a country’s per capita GDP (g) and the resultant pT is effectively governed by the reciprocal of g. This paper recommends continuing with the absolute − not marginal − consequences of violating life safety limit states, and setting constraints on monetary optimization that are consistent with fatality risks from engineering activities more universally accepted to be safe.

在本世纪初,JCSS 的《概率模型规范》中出现了将经济性和安全性结合在一起进行优化的想法,从而明确从违反极限状态的社会经济后果中推导出目标可靠度;这一努力最终以 ISO 2394:2015 中基于生命质量指数 (LQI) 的边际救生成本 (MLSC) 方法的形式实现,该方法用于确定各国土木工程结构在生命安全极限状态下的最大可接受失效概率 pT。遗憾的是,虽然该方法在应用于发达国家的结构时确实产生了足够的安全水平,但在应用于发展中国家(以印度为例)具有相同功能和预期死亡人数的结构时,pT 的推荐值却高出了一到两个数量级,是世界上所有已知标准包括其早期版本(ISO 2394:1998)都无法接受的。这源于两个缺陷:(1) 多层面安全标准方法通常无法为货币优化提供独立的约束条件;(2) 基于 LQI 的多层面安全标准约束条件衡量标准与一个国家的人均 GDP(g)密切相关,由此产生的 pT 实际上受 g 的倒数制约。本文建议继续考虑违反生命安全极限状态的绝对后果(而非边际后果),并为货币优化设置约束条件,这些约束条件应与更普遍接受的安全工程活动的死亡风险相一致。
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引用次数: 0
On information value and decision analyses 关于信息价值和决策分析
IF 5.7 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-10 DOI: 10.1016/j.strusafe.2024.102481
Sebastian Thöns , Colin Caprani , Michael Havbro Faber , Dan M. Frangopol , Paolo Gardoni , Pier Francesco Giordano , Daniel Honfi , Leandro Iannacone , Mohammad Shihabuddin Khan , Jochen Köhler , Sunyong Kim , Nico de Koker , Maria Pina Limongelli , Simona Miraglia , Jannie Sønderkær Nielsen , Mahesh Pandey , Celeste Viljoen
This paper addresses value of information, structural health information, and decision analyses in built environment engineering. Decision analyses are used for the joint optimization of information collection and the identification of physical measures for the management and enhancement of the expected utility of built environment systems. To these ends, this paper contains (1) principal descriptions of decision scenarios and the model basis in conjunction with the objective functions, embedded in (a) a summary of the historical background and (b) the origins of the methods of decision and value of information analyses, (2) an overview of methods for decision analyses highlighting solution strategies to handle comprehensiveness and computational challenges, (3) principal application areas and case studies, and (4) insights into recent advances. The main insights and an outreach to potential future research perspectives are summarised at the end of this paper.
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引用次数: 0
Accelerated system-reliability-based disaster resilience analysis for structural systems 基于系统可靠性的结构系统抗灾能力加速分析
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-04 DOI: 10.1016/j.strusafe.2024.102479
Taeyong Kim , Sang-ri Yi

Resilience has emerged as a crucial concept for evaluating structural performance under disasters because of its ability to extend beyond traditional risk assessments, accounting for a system’s ability to minimize disruptions and maintain functionality during recovery. To facilitate the holistic understanding of resilience performance in structural systems, a system-reliability-based disaster resilience analysis framework was developed. The framework describes resilience using three criteria: reliability (β), redundancy (π), and recoverability (γ), and the system’s internal resilience is evaluated by inspecting the characteristics of reliability and redundancy for different possible progressive failure modes. However, the practical application of this framework has been limited to complex structures with numerous sub-components, as it becomes intractable to evaluate the performances for all possible initial disruption scenarios. To bridge the gap between the theory and practical use, especially for evaluating reliability and redundancy, this study centers on the idea that the computational burden can be substantially alleviated by focusing on initial disruption scenarios that are practically significant. To achieve this research goal, we propose three methods to efficiently eliminate insignificant scenarios: the sequential search method, the n-ball sampling method, and the surrogate model-based adaptive sampling algorithm. Three numerical examples, including buildings and a bridge, are introduced to prove the applicability and efficiency of the proposed approaches. The findings of this study are expected to offer practical solutions to the challenges of assessing resilience performance in complex structural systems.

抗灾能力已成为评估灾害下结构性能的一个重要概念,因为它能够超越传统的风险评估,考虑到系统在恢复期间最大限度地减少中断和保持功能的能力。为了便于全面了解结构系统的抗灾性能,我们开发了一个基于系统可靠性的抗灾分析框架。该框架使用可靠性(β)、冗余性(π)和可恢复性(γ)三个标准来描述抗灾能力,并通过检查不同可能的渐进失效模式下的可靠性和冗余性特征来评估系统的内部抗灾能力。然而,这一框架的实际应用仅限于具有众多子组件的复杂结构,因为要评估所有可能的初始破坏情况下的性能变得非常困难。为了缩小理论与实际应用之间的差距,特别是在评估可靠性和冗余性方面,本研究的核心思想是,通过关注具有实际意义的初始破坏情况,可以大大减轻计算负担。为了实现这一研究目标,我们提出了三种有效消除不重要情况的方法:顺序搜索法、n 球抽样法和基于代用模型的自适应抽样算法。为了证明所提方法的适用性和效率,我们引入了三个数值实例,包括建筑物和桥梁。本研究的结果有望为评估复杂结构系统的弹性性能所面临的挑战提供实用的解决方案。
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引用次数: 0
Reliability-based calibration of companion load combination factors by considering concurrent wind and ice loading for structural design 通过考虑结构设计中同时存在的风荷载和冰荷载,以可靠性为基础校准伴生荷载组合系数
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-03 DOI: 10.1016/j.strusafe.2024.102478
H.P. Hong, Y.X. Liu, W.X. Zhou

Transmission towers and overhead transmission lines are designed and constructed by considering the combined ice load and wind-on-ice load if the ice accretion hazard is not negligible. The structural design codes provide clauses with a range of values to evaluate such a combined load. However, it is unclear which of the values suggested in the codes one should use for specified regions, and the reliability-based calibration of such a combination is unavailable. To fill this gap, in the present study, we carried out the reliability-based calibration of the companion load combination factors by using statistics of the ice accretion thickness and concurrent wind speed available from more than 250 meteorological stations in Canada. For the calibration, a nonlinear combination problem needs to be considered since the wind-on-ice load depends on the accreted ice thickness, making this calibration task differ from those commonly reported in the literature, which is focused on the linear load combination problem. A parametric investigation was also carried out to assess the effect of using different return periods and the correlation between ice accretion and concurrent wind speed on the companion load combination factors. The calibration results were used to recommend the load combination format, the companion load combination factors, and the ratio of the square equivalent concurrent wind speed to the return period value of the annual maximum wind speed, which is commonly implemented in design codes.

在设计和建造输电塔和架空输电线路时,如果积冰危害不容忽视,则要考虑冰荷载和冰上风荷载的组合。结构设计规范中的条款提供了评估这种综合荷载的一系列数值。然而,目前尚不清楚在特定区域应使用规范中建议的哪个值,也没有基于可靠性的组合校准方法。为了填补这一空白,在本研究中,我们利用加拿大 250 多个气象站提供的冰增厚和同期风速统计数据,对伴生荷载组合因子进行了基于可靠性的校准。在校准过程中,由于风对冰的载荷取决于积冰厚度,因此需要考虑非线性组合问题,这使得校准任务与文献中通常报道的侧重于线性载荷组合问题的校准任务有所不同。此外,还进行了参数调查,以评估使用不同的重现期以及冰面增厚与同期风速之间的相关性对伴生荷载组合系数的影响。校准结果用于推荐荷载组合格式、伴随荷载组合系数以及等效同期风速平方值与年最大风速重现期值的比值,这通常在设计规范中实施。
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引用次数: 0
An environment-driven basin scale tropical cyclone model 环境驱动的海盆尺度热带气旋模型
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-05-01 DOI: 10.1016/j.strusafe.2024.102480
Feng Hu , Qiusheng Li , Xu Hong

This paper presents an environment-driven tropical cyclone (TC) model for the Western North Pacific basin, which comprises a revised Poisson regression genesis model, a tailored beta-advection track model, and a fast intensity model. The TC model reproduces the temporal and spatial distributions of genesis events, the motion pattern of tracks, as well as the intensity evolutions along tracks. Risk analyses for Hong Kong and along the southeast coastline of mainland China demonstrate that this model can simulate extreme TC events with high fidelity. And the Gaussian mixture model outperforms the Frank Copula in approximating the joint distributions of the annual maximum wind speeds and the corresponding wind directions. This model is driven by a set of environmental variables including relative vorticity, relative humidity, sea surface temperature, vertical wind shear, potential intensity, sub mixed layer depth stratification, mixture layer depth and so on. This enables the model to not only reproduce historical records, but also make predictions for future TC behaviors under climate change with combination of global climate models. Besides, the computational efficiency of the TC model is comparable to traditional purely statistical models. The proposed model can also be coupled with other natural hazard models to conduct multi-hazard analysis.

本文提出了一种环境驱动的北太平洋西部海盆热带气旋(TC)模式,它由一个修订的泊松回归成因模式、一个定制的β-对流路径模式和一个快速强度模式组成。该模式再现了成因事件的时空分布、路径的运动模式以及沿路径的强度演变。对香港和中国大陆东南海岸线的风险分析表明,该模型能够高保真地模拟极端热气旋事件。高斯混合模型在近似年最大风速和相应风向的联合分布方面优于 Frank Copula。该模式由一系列环境变量驱动,包括相对涡度、相对湿度、海面温度、垂直风切变、位势强度、副混合层深度分层、混合层深度等。这使得该模式不仅能再现历史记录,还能结合全球气候模式对未来气候变化下的热气旋行为进行预测。此外,TC 模式的计算效率与传统的纯统计模式相当。提出的模型还可与其他自然灾害模型耦合,进行多灾害分析。
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引用次数: 0
LRFD methodology for river embankments against non-stationary flooding under climate change 气候变化下河堤抗非稳态洪水的 LRFD 方法
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-04-27 DOI: 10.1016/j.strusafe.2024.102477
Abdul Kadir Alhamid , Mitsuyoshi Akiyama , Zhengying He , Putri Syahidah Firdaus , Dan M. Frangopol

Riverine floods have become increasingly prevalent on a global scale, posing significant risks to infrastructure systems and communities. The escalating impacts of climate change associated with the increase in rainfall intensities and frequencies necessitate the improvement of the existing design methodologies to account for the non-stationary climate change effects to ensure that the reliability is above the target level and mitigate future flood disasters. This paper presents a novel LRFD approach for river embankments subjected to extreme rainfall under non-stationary climate change effects. This approach introduces an additional partial factor to account for the effects of climate change. Precipitation and temperature projections are collected from various climate models considering several cases of emission scenarios. An integrated hydrological and hydraulic modeling of the analyzed river is carried out to estimate the associated time-variant river discharge and water surface elevation. The non-stationary extreme value associated with the maximum flood level is leveraged using the peak-over-threshold approach. The embankment reliability and the corresponding most probable points are evaluated using limit states associated with overtopping and slope failures. Based on the estimated and target reliability indexes, the design point for each random variable is assessed considering the cases with and without climate change effects. Finally, the partial factors associated with climate change effects are determined. As an illustrative example, the proposed framework is applied to the Ashida River in Fukuyama city of Japan.

河流洪水在全球范围内越来越普遍,给基础设施系统和社区带来了巨大风险。随着降雨强度和频率的增加,气候变化的影响也在不断升级,因此有必要改进现有的设计方法,以考虑非稳态气候变化的影响,确保可靠性高于目标水平,减轻未来的洪水灾害。本文提出了一种新的 LRFD 方法,适用于非稳态气候变化影响下的极端降雨河道堤坝。该方法引入了一个额外的部分因子来考虑气候变化的影响。降雨量和温度预测是从各种气候模型中收集的,其中考虑了几种排放情景。对分析的河流进行水文和水力综合建模,以估算相关的时变河流排放量和水面高程。采用峰值超过阈值的方法来利用与最大洪水位相关的非稳态极值。堤坝可靠性和相应的最可能发生点是利用与翻浆和边坡垮塌相关的极限状态进行评估的。根据估计的和目标的可靠性指数,考虑到有和没有气候变化影响的情况,对每个随机变量的设计点进行评估。最后,确定与气候变化影响相关的部分因素。以日本福山市芦田川为例来说明所提出的框架。
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引用次数: 0
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