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Fragility functions for non-ductile infilled reinforced concrete buildings using next-generation intensity measures based on analytical models and empirical data from past earthquakes 基于分析模型和以往地震的经验数据,利用新一代烈度测量方法,为非导性填充钢筋混凝土建筑提供脆性函数
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-21 DOI: 10.1007/s10518-024-01955-4
Al Mouayed Bellah Nafeh, Gerard J. O’Reilly

The regional seismic risk assessment of reinforced concrete (RC) building portfolios is a critical issue in earthquake engineering due to their high vulnerability and widespread distribution in seismic prone areas. A pertinent aspect in regional seismic risk applications is the ability to accurately quantify the exceedance of any damage state, generally via fragility functions. To this end, this study derives analytical fragility functions for large-scale seismic risk applications of non-ductile RC buildings with masonry infills characteristic of the Italian peninsula and Southern Europe in general. These were derived using a large database of archetype buildings developed to represent the temporal evolution in construction practice in Italy based on an extensive literature review and interviews with practising engineers and architects. Fragility functions for several infilled RC taxonomy classes were derived for multiple damage states using state-of-the-art analysis on detailed numerical models. Average spectral acceleration was adopted as the intensity measure throughout, since it has been shown to notably reduce dispersion and bias in quantifying the response, and subsequently refine the seismic risk estimates, for these typologies. The fragility functions are compared against empirical data collected following past earthquakes in Italy, namely L’Aquila 2009 and Umbria-Marche 1997. The development of empirical fragility functions was carried out using a novel derivation of average spectral acceleration-based ground-motion fields considering spatial and cross-period correlation models, which is a key component and development in this study. This paper shows how recent advances in analytical fragility function development can be integrated with past empirical observations to give more accurate and representative damage estimates for regional assessment.

钢筋混凝土(RC)建筑组合的区域地震风险评估是地震工程中的一个关键问题,因为它们具有高度脆弱性,而且广泛分布在地震易发地区。区域地震风险应用的一个相关方面是,通常通过脆性函数对任何破坏状态的超限进行精确量化的能力。为此,本研究针对意大利半岛和整个南欧特有的砌体填充非韧性 RC 建筑的大规模地震风险应用,推导出了分析脆度函数。这些脆性函数是利用一个大型原型建筑数据库推导出来的,该数据库是在广泛的文献综述以及对执业工程师和建筑师的访谈基础上开发的,代表了意大利建筑实践的时间演变。通过对详细的数值模型进行最先进的分析,得出了多个填充式 RC 分类等级的多种破坏状态的脆性函数。平均谱加速度作为烈度度量方法被广泛采用,因为它已被证明能显著减少反应量化过程中的分散性和偏差,进而完善这些类型的地震风险估算。脆度函数与过去意大利地震(即 2009 年拉奎拉地震和 1997 年翁布里亚-马尔凯地震)后收集的经验数据进行了比较。经验脆度函数的开发采用了基于平均频谱加速度的地动场新推导方法,考虑了空间和跨周期相关模型,这是本研究的关键组成部分和开发成果。本文展示了如何将分析脆性函数开发的最新进展与过去的经验观测相结合,为区域评估提供更准确、更有代表性的损害估算。
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引用次数: 0
Correction: Effect of axial load and shear span on seismic performance of CFT columns reinforced with end-fixed ultra-high strength rebars 更正:轴向荷载和剪切跨度对使用端部固定超高强度钢筋加固的 CFT 柱抗震性能的影响
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-18 DOI: 10.1007/s10518-024-01952-7
Gaochuang Cai, Yue Wen, Prafulla B. Malla, Takashi Fujinaga, Amir Si Larbi
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引用次数: 0
Strong ground motion characteristics of the 2022 MW 6.6 Luding earthquake and regional variability in ground motion among three earthquake areas in Sichuan, Southwest China 2022 年四川泸定 6.6 级地震的强烈地动特征及西南三震区地动的区域变异性
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-17 DOI: 10.1007/s10518-024-01934-9
Bin Zhang, Xiaojun Li, Yanxiang Yu, Xiaojian Lu, Mianshui Rong, Su Chen, Zhao An, Zhenghui Xiong

This paper analyzed the strong motion characteristics based on 86 three-component strong motion records of the MW 6.6 Luding earthquake. Additionally, the factors that influence the variation in ground motion for three earthquakes with similar magnitude in Sichuan Province were investigated. The analysis result indicates a strong correlation between the observed ground motion parameters and the distribution of published Modified Mercalli Intensity. The residual analysis reveals that the spectral accelerations at periods 0.1–10.0 s are amplified to 0.0798–0.3057 times the mean level in the rupture forward direction and weakened to 0.0738–0.2831 times the mean level in the rupture backward direction. The maximum pulse direction recorded by the 51LDJ station is N6°E, aligning with the vertical fault direction. The velocity pulses has distinct bidirectional pulses in the waveforms, with a PGV of 37.0 cm/s. The source effect of the strike-slip MW 6.6 Luding and MW 6.5 Jiuzhaigou earthquakes on ground motion is relatively less significant compared to the average level of mainshocks in southwest China. However, the thrust-fault MW 6.7 Lushan earthquake exhibits a stronger source effect on ground motion during short and medium periods, but a weaker source effect during long periods when compared to the average level. The anelastic attenuation of the Longmenshan, Xianshuihe, and Huya fault zones in Sichuan exhibits significant regional variation and periodic correlation. This phenomenon is closely linked to the regional tectonic background variations and the heterogeneity of crustal structure within the area.

本文根据泸定 6.6 级地震的 86 个三分量强震记录分析了强震特征。此外,还研究了影响四川省三次类似震级地震地面运动变化的因素。分析结果表明,观测到的地动参数与公布的修正麦加利烈度分布之间存在很强的相关性。残差分析表明,周期为 0.1-10.0 s 的频谱加速度在断裂前进方向被放大到平均水平的 0.0798-0.3057 倍,在断裂后退方向被减弱到平均水平的 0.0738-0.2831 倍。51LDJ 站记录到的最大脉冲方向为 N6°E,与垂直断层方向一致。速度脉冲的波形具有明显的双向性,PGV 为 37.0 厘米/秒。与中国西南地区主震的平均水平相比,走向滑动 MW6.6 泸定地震和 MW6.5 九寨沟地震对地面运动的震源效应相对较小。然而,与平均水平相比,MW6.7 芦山推断型地震在中短周期内对地面运动的震源效应较强,但在长周期内震源效应较弱。四川龙门山、咸水河、虎牙断层带的非弹性衰减表现出明显的区域差异和周期相关性。这一现象与区域构造背景变化和区内地壳结构的异质性密切相关。
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引用次数: 0
Influence of ground motion variables on the nonlinear seismic demand of masonry-infilled reinforced concrete frames 地面运动变量对砌体填充钢筋混凝土框架非线性抗震要求的影响
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-17 DOI: 10.1007/s10518-024-01954-5
Chananpreet Singh, Trishna Choudhury

Masonry-infilled reinforced concrete (MI-RC) buildings are one of the abundant building inventories and are commonly seen because of their relatively cheaper construction materials, and easier workmanship. However, often due to the negligence of the design guidelines or disregard of the contribution of masonry infills in structural weight and stiffness, these buildings become seismically vulnerable. Generally, the design involves uncertain parameters related to material and geometric properties, a slight change of which may lead to large variation in the structural response. More specifically, the masonry infill wall parameters can result in huge structural response variation. The issue of variation in structural response becomes more critical considering the large uncertainty involved in the quantification of earthquakes and the ground motion parameters while conducting time history analysis. Usually, peak ground acceleration (PGA) is considered as the ground motion intensity measure (IM) to define the ground shaking. However, several other IMs, such as arias intensity, specific energy density, the ratio of peak ground velocity to peak ground acceleration, dominant frequency, and the strong motion duration can also influence and determine the severity of seismic damage caused to the buildings, explicitly in case of infilled RC frames. The present study is an effort to quantify the effect of several such ground motion parameters, on the response of masonry-infilled reinforced concrete frame. An attempt has also been made for modification of the established demand–capacity relationship, also known as IM versus EDP (engineering demand parameter) based on the relative frequency characteristics of the building and the ground motion. It is suggested that relating the EDP with multiple ground motion parameters considering the frequency characteristics of the building and the ground motion can give a more realistic picture of the effect of seismic vibration of such buildings.

砌体填充钢筋混凝土(MI-RC)建筑是大量建筑中的一种,由于其建筑材料相对便宜且易于施工,因此很常见。然而,由于设计准则的疏忽或忽视砌体填充物对结构重量和刚度的贡献,这些建筑往往容易受到地震的影响。一般来说,设计涉及与材料和几何特性有关的不确定参数,这些参数的微小变化都可能导致结构响应的巨大变化。更具体地说,砌体填充墙的参数会导致巨大的结构响应变化。在进行时间历程分析时,考虑到地震和地面运动参数的量化存在很大的不确定性,结构响应的变化问题变得更加重要。通常情况下,地面峰值加速度(PGA)被认为是定义地震动的地震动强度(IM)。然而,其他一些烈度指标,如咏叹调烈度、比能量密度、峰值地面速度与峰值地面加速度之比、主导频率和强震持续时间等,也会影响和决定对建筑物造成的地震破坏的严重程度,特别是在填充式 RC 框架的情况下。本研究旨在量化若干此类地面运动参数对砌体填充钢筋混凝土框架响应的影响。本研究还尝试根据建筑物和地面运动的相对频率特性,修改已建立的需求-容量关系,也称为 IM 与 EDP(工程需求参数)关系。考虑到建筑物和地面运动的频率特性,建议将 EDP 与多个地面运动参数联系起来,以便更真实地反映此类建筑物的地震振动影响。
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引用次数: 0
A theoretical comparison among macroseismic scales used in Italy 意大利使用的宏观地震尺度的理论比较
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-17 DOI: 10.1007/s10518-024-01921-0
Gianfranco Vannucci, Barbara Lolli, Paolo Gasperini

In a recent work, we evidenced some empirical discrepancies between the macroseismic intensity estimates in Italy in the last decade with respect to those made previously. A possible reason might be the progressive adoption by Italian researchers of the European Macroseismic Scale (EMS) in place of the Mercalli Cancani Sieberg (MCS) scale mostly used up to 2009. In theory, in modern settlements where reinforced concrete (RC) buildings are increasingly replacing those in masonry, EMS should overestimate MCS because the former accounts for the lower vulnerability of RC whereas the latter does not because RC buildings were not considered at all by the MCS scale since they were almost absent at the time (1912–1932) when it was compiled by Sieberg. However, such theoretical inference is contradicted by the empirical evidence that, on average, MCS intensities really estimated in Italy over the past decade slightly overestimate EMS and not vice versa as it should be. A possible explanation is that the EMS scale had not been well calibrated to reproduce the MCS, as its authors intended to do. Another possible reason for the discrepancies between the last decade and the previous ones might be that the MCS scale applied today is not the same as that defined by Sieberg at the beginning of the twentieth century. In order to better understand the possible causes of such discrepancies, we present here a formal comparison between the definitions of the different degrees of such macroseismic scales. After such analysis, we might argue that another possible reason for the observed discrepancy may come from the inaccurate assessment of building vulnerability when assessing the EMS intensity.

在最近的一项工作中,我们发现过去十年意大利的宏观地震烈度估计值与之前的估计值之间存在一些经验差异。一个可能的原因是,意大利研究人员逐渐采用欧洲宏观地震烈度表(EMS)来取代 2009 年之前一直使用的麦卡利-坎卡尼-西贝格地震烈度表(MCS)。从理论上讲,在钢筋混凝土(RC)建筑越来越多地取代砖石结构建筑的现代住区中,EMS 应该高估 MCS,因为前者考虑了 RC 的较低脆弱性,而后者则没有,因为 MCS 量表根本没有考虑 RC 建筑,因为在 Sieberg 编制量表时(1912-1932 年),几乎没有 RC 建筑。然而,这种理论推论与经验证据相矛盾,经验证据表明,平均而言,过去十年在意大利实际估算的 MCS 强度略微高估了 EMS,而不是相反。一个可能的解释是,EMS 量表没有按照其作者的意图进行很好的校准以再现 MCS。造成最近十年与之前十年之间差异的另一个可能原因是,今天使用的多指标类比尺度与 Sieberg 在二十世纪初定义的尺度不同。为了更好地理解造成这种差异的可能原因,我们在此对这种宏观地震尺度的不同程度的定义进行了正式比较。经过这样的分析,我们可以认为,观察到的差异的另一个可能原因可能是在评估 EMS 强度时对建筑物脆弱性的评估不准确。
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引用次数: 0
Fragility curves of sequential earthquakes for RC buildings in Japan 日本 RC 建筑连续地震的脆性曲线
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-13 DOI: 10.1007/s10518-024-01949-2
Mahnoosh Biglari, Yoshiki Ikeda, Hiroshi Kawase

Structures in earthquake-prone areas may suffer from accumulative damages caused by sequential shocks, including the mainshock and aftershock of an earthquake or several strong motions throughout their service lifespan. Sequential shocks lead to a decrease in the capacity of structures. Nevertheless, seismic fragility curves and their applications do not often consider the sequential effect. This study investigates the impact of sequential seismic events on seismic fragility curves of 3-, 6-, and 9-story reinforced concrete buildings constructed before and after 1982 in Japan. The research proposes analytical fragility curves based on dynamic nonlinear multi-degree-of-freedom analyses under the influence of single shock and sequential shock of recorded motions of six destructive earthquakes in Japan. The results demonstrate that the seismic sequence increases the probability of damage ratio. This increase in the fragility curve follows the Gaussian function. The study presents a regression model that can be used for other seismic areas to estimate the effect of seismic sequences on single shock seismic fragility curves.

地震多发区的结构可能会在其整个使用寿命期间受到连续冲击(包括地震的主震和余震或多次强震)造成的累积破坏。连续冲击会导致结构的承载能力下降。然而,地震脆性曲线及其应用通常并不考虑序列效应。本研究调查了连续地震事件对 1982 年前后在日本建造的 3 层、6 层和 9 层钢筋混凝土建筑的地震脆性曲线的影响。研究根据日本六次破坏性地震的记录运动,在单次冲击和连续冲击影响下进行的动态非线性多自由度分析,提出了分析脆性曲线。结果表明,地震序列会增加破坏概率。脆性曲线的增加遵循高斯函数。该研究提出了一个回归模型,可用于其他地震区,以估算地震序列对单冲击地震脆度曲线的影响。
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引用次数: 0
Advanced 3D seismic hazard analysis for active compression in the Adriatic Thrust Zone, Italy 意大利亚得里亚海隆起带活动压缩三维地震危险性高级分析
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-12 DOI: 10.1007/s10518-024-01948-3
Claudia Pandolfi, Matteo Taroni, Rita de Nardis, Giusy Lavecchia, Aybige Akinci

The probabilistic seismic hazard assessment contains two ingredients: (1) the seismic source model with earthquake rates and rupture parameters for specification of the statistical distribution of earthquakes in time and space and (2) the ground motion model, for estimation of ground shaking level at a site for each earthquake rupture. The selection of these models significantly impacts the resulting hazard maps, and it can be challenging, particularly in seismotectonic regions where overlapping structures, sited at different depths, coexist. Eastern Central Italy is a well-known active compressional environment of the central Mediterranean with a complex tectonic structure with a lithospheric double shear zone. In this study, we propose a seismic hazard assessment to analyze the contribution of these two shear zones as overlapping multi-depth seismogenic volumes to ground motion at a given hazard level. We specifically focus on selecting relevant and applicable parameters for earthquake rate modeling, emphasizing the importance of defining rate computation and rupture-depth parametrization in hazard analysis. To achieve this, we utilized a seismotectonic- and catalog-based 3D adaptive smoothed seismicity approach following the methodology given by (Pandolfi et al. in Seismol Res Lett 95: 1–11, 2023). Finally, we demonstrated how this innovative 3D approach can identify with high resolution the individual sources' contribution with particular attention to the depth location of structures that strongly influence the ground motion. Moreover, combining seismotectonic data with seismicity avoids the challenges associated with structures with scarce geologic, geodetic, or paleoseismological data. Our result provides detailed insights into the seismic hazard within the Adriatic Thrust Zone.

概率地震灾害评估包含两个要素:(1) 震源模型,包括地震发生率和地震破裂参数,用于确定地震在时间和空间上的统计分布;(2) 地面运动模型,用于估算每次地震破裂时某一地点的地面震动水平。这些模型的选择对所绘制的灾害地图有重大影响,尤其是在不同深度的重叠结构共存的地震构造地区,选择这些模型可能具有挑战性。意大利中东部是地中海中部一个著名的活跃压缩环境,其构造结构复杂,具有岩石圈双剪切带。在本研究中,我们提出了一种地震危险评估方法,以分析这两个剪切带作为重叠的多深度成震体量对给定危险等级下地面运动的贡献。我们特别关注为地震速率建模选择相关和适用的参数,强调定义速率计算和破裂深度参数化在危害分析中的重要性。为此,我们按照 Pandolfi 等人在 Seismol Res Lett 95: 1-11, 2023 中给出的方法,采用了基于地震构造和目录的三维自适应平滑地震度方法。最后,我们展示了这种创新的三维方法如何以高分辨率识别单个震源的贡献,并特别关注对地面运动有强烈影响的结构的深度位置。此外,将地震构造数据与震度相结合,可避免地质、大地测量或古地震学数据匮乏的结构所带来的挑战。我们的研究结果为亚得里亚海推力带的地震危害提供了详尽的见解。
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引用次数: 0
Ground-motion models for earthquakes occurring in the United Kingdom 英国地震的地动模型
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-09 DOI: 10.1007/s10518-024-01943-8
John Douglas, Guillermo Aldama-Bustos, Sarah Tallett-Williams, Manuela Daví, Iain J. Tromans

This article presents models to predict median horizontal elastic response spectral accelerations for 5% damping from earthquakes with moment magnitudes ranging from 3.5 to 7.25 occurring in the United Kingdom. This model was derived using the hybrid stochastic-empirical method based on an existing ground-motion model for California and a stochastic model for the UK that was developed specifically for this purpose. The model is presented in two consistent formats, both for two distance metrics, with different target end-users. Firstly, we provide a complete logic tree with 162 branches, and associated weights, capturing epistemic uncertainties in the depth to the top of rupture, geometric spreading, anelastic path attenuation, site attenuation and stress drop, which is more likely to be used for research. The weights for these branches were derived using Bayesian updating of a priori weights from expert judgment. Secondly, we provide a backbone model with three and five branches corresponding to different percentiles, with corresponding weights, capturing the overall epistemic uncertainty, which is tailored for engineering applications. The derived models are compared with ground-motion observations, both instrumental and macroseismic, from the UK and surrounding region (northern France, Belgium, the Netherlands, western Germany and western Scandinavia). These comparisons show that the model is well-centred (low overall bias and no obvious trends with magnitude or distance) and that the branches capture the body and range of the technically defensible interpretations. In addition, comparisons with ground-motion models that have been previously used within seismic hazard assessments for the UK show that ground-motion predictions from the proposed model match those from previous models quite closely for most magnitudes and distances. The models are available as computer subroutines for ease of use.

本文提出了一些模型,用于预测英国发生的矩震级为 3.5 到 7.25 的地震中阻尼为 5%的水平弹性响应谱加速度中值。该模型采用随机-经验混合法,基于现有的加利福尼亚地动模型和专门为此开发的英国随机模型。该模型以两种一致的形式呈现,均适用于两种距离指标,目标终端用户各不相同。首先,我们提供了一个完整的逻辑树,其中包含 162 个分支和相关权重,以捕捉破裂顶端深度、几何扩展、无弹性路径衰减、现场衰减和应力下降等方面的认识不确定性,这更有可能用于研究。这些分支的权重是通过贝叶斯法更新专家判断的先验权重得出的。其次,我们提供了一个骨干模型,该模型有三个和五个分支,分别对应于不同的百分位数,并具有相应的权重,可捕捉整体认识上的不确定性,适合工程应用。我们将得出的模型与英国及周边地区(法国北部、比利时、荷兰、德国西部和斯堪的纳维亚半岛西部)的地动观测数据(包括仪器观测数据和宏观地震观测数据)进行了比较。这些比较结果表明,该模型中心明确(总体偏差小,没有明显的震级或距离趋势),各分支捕捉到了技术上站得住脚的解释的主体和范围。此外,与以前在英国地震灾害评估中使用的地动模型进行的比较表明,在大多数震级和距离上,拟议模型的地动预测与以前模型的预测非常接近。为了便于使用,这些模型可以作为计算机子程序提供。
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引用次数: 0
Seismic fragility and loss assessment of standard/sub-standard RC frames of Pakistan retrofitted with steel bracing schemes 采用钢支撑方案对巴基斯坦标准/次标准 RC 框架进行抗震脆性和损失评估
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-07 DOI: 10.1007/s10518-024-01947-4
Muhammad Shoaib Khan, Muhammad Rizwan

Building code implementation in developing countries is a serious concern due to poorly regulated construction practices. Deficiencies in terms of material strength and structural detailing are found the most in reinforced concrete frames in Pakistan. This paper presents the results of quasi-static cyclic tests performed on reduced-scale RC frames with and without beam-column joint detailing and considering normal and low-strength concrete respectively. Fragility functions and loss curves for the standard/sub-standard frames were derived using an experimentally validated numerical model. Furthermore, the existing RC frames building stock was rehabilitated with various configurations of steel bracing i.e. one way diagonal, one way eccentric, two way diagonal, two way eccentric and concentric. The developed fragility and loss curves for the rehabilitated frames confirmed that the two way diagonal steel bracing system outclasses the other types. Moreover, inter-story drift limits for as-built and rehabilitated frames were proposed under design base earthquakes and maximum considered earthquakes. Maximum considered earthquakes pushed the ductile as-built frame further than the moderate damage state, thus rehabilitation after such an event will be required for the structure. The presented results will help in seismic risk assessment, decision-making and public awareness.

在发展中国家,由于建筑规范执行不力,建筑规范的执行是一个令人严重关切的问题。在巴基斯坦的钢筋混凝土框架中,材料强度和结构细部设计方面的缺陷最为突出。本文介绍了对缩小尺度的钢筋混凝土框架进行的准静力循环测试结果,这些框架分别考虑了普通混凝土和低强度混凝土的梁柱连接细部设计和未进行梁柱连接细部设计。通过实验验证的数值模型得出了标准/次标准框架的脆性函数和损失曲线。此外,对现有的 RC 框架建筑进行了修复,采用了不同的钢支撑配置,即单向对角、单向偏心、双向对角、双向偏心和同心。为修复后的框架绘制的脆性和损失曲线证实,双向对角钢支撑系统优于其他类型。此外,在设计基准地震和最大考虑地震的情况下,提出了竣工框架和修复框架的层间漂移限值。考虑的最大地震将延性竣工框架进一步推向中度破坏状态,因此在这种情况下需要对结构进行修复。这些结果将有助于地震风险评估、决策和提高公众意识。
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引用次数: 0
Simplified estimation of reliability in structures subjected to seismic loads using the demand-capacity ratio format 利用需求容量比格式简化地震荷载作用下结构的可靠性评估
IF 3.8 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-06-06 DOI: 10.1007/s10518-024-01923-y
Ricardo B. Flores, Dante Tolentino

In this paper, closed-form expressions to calculate both the mean annual failure rate and the confidence factor are proposed. Reliability indicators are estimated assuming a normalization between capacity and demand called (I_{DC}). Simplified closed-form expressions are obtained in accordance with the probability seismic demand analysis used in SAC/FEMA. Uncertainties associated to mechanical, geometrical, and epistemic properties are taken into account, as well as uncertainties related to the occurrence of earthquakes. A comparison of both the mean annual failure rate and the confidence factor with (I_{DC}) and the expressions proposed by Cornell and collaborators is performed. The numerical approach for the mean annual failure rate is obtained to verify the approximation of the closed-form solutions. Reliability indicators are obtained using six continuous reinforced concrete bridges designed to comply with three drift thresholds (0.002, 0.003 and 0.004). The bridge systems are situated in transition soil of Mexico City. Maximum differences of 4.1% and 10.6% are obtained between the proposed expression and the numerical solution for the mean annual rate of failure, estimated for two limit states: serviceability and collapse. The confidence factor presents differences of 5.2% between the present study and the original formulation.

本文提出了计算平均年故障率和置信系数的闭式表达式。可靠性指标的估算假定了容量与需求之间的归一化,称为 (I_{DC})。根据 SAC/FEMA 中使用的概率地震需求分析,得到了简化的闭式表达式。考虑了与机械、几何和认识特性相关的不确定性,以及与地震发生相关的不确定性。对年平均故障率和置信系数与 (I_{DC}) 以及 Cornell 及其合作者提出的表达式进行了比较。获得了平均年破坏率的数值方法,以验证闭式解的近似性。利用六座连续钢筋混凝土桥梁,按照三个漂移阈值(0.002、0.003 和 0.004)进行设计,获得了可靠性指标。这些桥梁系统位于墨西哥城的过渡土壤中。根据两种极限状态(适用性和坍塌)估算的平均年破坏率,建议表达式与数值解之间的最大差异分别为 4.1% 和 10.6%。本研究与原始公式的置信系数相差 5.2%。
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引用次数: 0
期刊
Bulletin of Earthquake Engineering
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