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Performance evaluation of high-rise buildings using database-assisted design approach 利用数据库辅助设计法评估高层建筑性能
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-02-03 DOI: 10.1016/j.strusafe.2024.102447
Dikshant Saini, Bahareh Dokhaei, Behrouz Shafei, Alice Alipour

In recent years, performance-based design (PBD) has gained attention and is sought to be the benchmark approach in the field of wind engineering. While the concept of performance-based design is well-accepted in earthquake engineering, it is yet to be embraced for the design of buildings to resist severe wind loads. This paper introduces a framework for the performance-based wind design (PBWD) of tall steel buildings using a time domain analysis that keeps the process of wind effects and the structural design process integrated, transparent, and fully auditable. From the perspective of PBWD, the main objective is to achieve a desirable performance level for a given hazard level, i.e., mean recurrence interval of extreme wind. The wind effects are directly related to the mean annual return of wind through a well-accepted simulation approach. A 180 m tall standard CAARC building is used for the case study to illustrate the proposed methodology. The wind load time histories are determined using the pressure tap data on exterior faces of the building measured in the wind tunnel. With the calculated wind loads, nonlinear dynamic analysis is conducted with various wind directions and mean wind speeds based on database-assisted design (DAD) approach. The key performance measures such as demand-to-capacity indices, inter-story drift, damage deformation index, and floor accelerations are calculated as a function of wind directions and mean wind speed. The obtained responses are used in conjunction with a local wind climatological database to determine the extreme wind effects for any specific mean recurrence interval. The performance of the steel building is evaluated for three performance criteria, including occupant comfort, operational, and continuous occupancy. The conducted performance assessment reveals that building fails to satisfy the serviceability requirement of drifts. However, the building satisfies the requirements for the occupant comfort and operational performance levels for strength design, while it also satisfies the continuous occupancy, limited interruption in Risk category II. The result reveals that the proposed framework provides realistic assessment of performance of the building incorporating the wind directionality and return period of the wind speeds.

近年来,以性能为基础的设计(PBD)越来越受到关注,并力图成为风工程领域的基准方法。虽然基于性能的设计概念在地震工程领域已被广泛接受,但在设计建筑物以抵御严重风荷载方面却尚未被接受。本文介绍了一种基于性能的高层钢结构建筑抗风设计(PBWD)框架,该框架采用时域分析方法,使风效应过程和结构设计过程保持一体化、透明化和完全可审计。从 PBWD 的角度来看,其主要目标是在给定的危险等级(即极端风力的平均重现间隔)下达到理想的性能水平。通过一种公认的模拟方法,风效应与年平均风速直接相关。案例研究使用了一座 180 米高的标准 CAARC 建筑来说明所提出的方法。风荷载时间历程是通过在风洞中测量的建筑物外表面压力水龙头数据确定的。根据计算出的风荷载,采用数据库辅助设计(DAD)方法对各种风向和平均风速进行了非线性动态分析。作为风向和平均风速的函数,计算了主要性能指标,如需求容量指数、层间漂移、破坏变形指数和楼层加速度。获得的响应与当地风气候数据库结合使用,以确定任何特定平均重现间隔的极端风效应。钢结构建筑的性能根据三项性能标准进行评估,包括居住舒适度、运行和连续占用。性能评估结果表明,钢结构建筑无法满足漂移的适用性要求。然而,该建筑满足了强度设计中对居住舒适度和运行性能水平的要求,同时还满足了风险类别 II 中的连续占用和有限中断的要求。结果表明,建议的框架结合风向和风速的重现期对建筑物的性能进行了现实的评估。
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引用次数: 0
Models and methods for probabilistic safety assessment of steel structures subject to fatigue 疲劳钢结构概率安全评估模型和方法
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-02-02 DOI: 10.1016/j.strusafe.2024.102446
Johan Maljaars, John Leander, Alain Nussbaumer, John Daalsgaard Sørensen, Daniel Straub

We review of the state of the art in probabilistic modelling for fatigue reliability of civil engineering and offshore structures. The modeling of randomness and uncertainty in fatigue resistance and fatigue load variables are presented in some detail. This is followed by a review of the specifics of reliability analysis for fatigue limit states and a background on the semi-probabilistic treatment of fatigue safety. We discuss the different life-cycle reliability concepts and give an overview on probabilistic inspection planning. We describe the choices made in the Probabilistic Model Code of the Joint Committee of Structural Safety, present alternatives to these choices and suggest areas of future research.

我们回顾了土木工程和近海结构疲劳可靠性概率建模的最新进展。详细介绍了抗疲劳和疲劳载荷变量的随机性和不确定性建模。随后回顾了疲劳极限状态可靠性分析的具体内容,以及疲劳安全半概率处理的背景。我们讨论了不同的寿命周期可靠性概念,并概述了概率检查规划。我们描述了结构安全联合委员会的概率模型规范中的选择,提出了这些选择的替代方案,并建议了未来的研究领域。
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引用次数: 0
Probabilistic model updating of steel frame structures using strain and acceleration measurements: A multitask learning framework 利用应变和加速度测量对钢架结构进行概率模型更新:多任务学习框架
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-24 DOI: 10.1016/j.strusafe.2024.102442
Taro Yaoyama, Tatsuya Itoi, Jun Iyama

This paper proposes a multitask learning framework for probabilistic model updating by jointly using strain and acceleration measurements. This framework can enhance the structural damage assessment and response prediction of existing steel frame structures with quantified uncertainty. Multitask learning may be used to address multiple similar inference tasks simultaneously to achieve a more robust prediction performance by transferring useful knowledge from one task to another, even in situations of data scarcity. In the proposed model-updating procedure, a spatial frame is decomposed into multiple planar frames that are viewed as multiple tasks and jointly analyzed based on the hierarchical Bayesian model, leading to robust estimation results. The procedure uses a displacement–stress relationship in the modal space because it directly reflects the elemental stiffness and requires no prior knowledge concerning the mass, unlike most existing model-updating techniques. Validation of the proposed framework by using a full-scale vibration test on a one-story, one-bay by one-bay moment resisting steel frame, wherein structural damage to the column bases is simulated by loosening the anchor bolts, is presented. The experimental results suggest that the displacement–stress relationship has sufficient sensitivity toward localized damage, and the Bayesian multitask learning approach may result in the efficient use of measurements such that the uncertainty involved in model parameter estimation is reduced. The proposed framework facilitates more robust and informative model updating.

本文提出了一种联合使用应变和加速度测量进行概率模型更新的多任务学习框架。该框架可增强对具有量化不确定性的现有钢框架结构的结构损伤评估和响应预测。多任务学习可用于同时处理多个类似的推理任务,通过将有用的知识从一个任务转移到另一个任务,实现更稳健的预测性能,即使在数据稀缺的情况下也是如此。在所提出的模型更新程序中,一个空间帧被分解成多个平面帧,这些平面帧被视为多个任务,并基于分层贝叶斯模型进行联合分析,从而获得稳健的估计结果。与大多数现有的模型更新技术不同,该程序使用模态空间中的位移-应力关系,因为它直接反映了元素刚度,并且不需要有关质量的先验知识。本文通过对单层单榀抗弯矩钢框架进行全尺寸振动试验来验证所提出的框架,试验中通过松开地脚螺栓来模拟柱基的结构破坏。实验结果表明,位移-应力关系对局部损坏具有足够的敏感性,贝叶斯多任务学习方法可以有效利用测量结果,从而降低模型参数估计的不确定性。所提出的框架有助于更稳健、信息更丰富的模型更新。
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引用次数: 0
Calibration of burst strength models of corroded pipelines using the hierarchical Bayesian method 使用分层贝叶斯法校准腐蚀管道的爆破强度模型
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-23 DOI: 10.1016/j.strusafe.2024.102444
U. Bhardwaj, A.P. Teixeira, C. Guedes Soares

This paper proposes a probabilistic framework to calibrate burst strength models of intact and corroded pipelines based on the hierarchical Bayesian method. The approach uses burst test data of intact and corroded pipelines of different steel grades compiled from the literature and accounts for the variations among the data sources. First, the most appropriate burst strength models for corrosion-free and corroded pipelines are adopted. The burst pressure prediction models are categorised under low, medium and high-grade steel classes. Using the hierarchical Bayesian approach model uncertainty factors are derived to calibrate the burst strength models. The mean values and uncertainty of posterior probabilities of the model uncertainty factors are estimated for intact and corroded pipelines in three material categories. This study further investigates the uncertainty propagated by calibrated and non-calibrated models and draws important observations regarding the uncertainty associated with the calibration. The prediction uncertainties follow a non-linear increasing trend as corrosion defect increases. This study's importance is demonstrated with a case study that shows the differences in the uncertainty resulting from the use of the proposed approach compared to the conventional method. Additionally, for corroded pipes, model uncertainty factors are described as a function of defect depth with regression parameters estimated from hierarchical Bayesian-based regression analysis. Finally, a comparison between calibrated and non-calibrated models indicates that the calibrated models provide non-conservative predictions.

本文提出了一种基于分层贝叶斯法的概率框架,用于校准完好和腐蚀管道的爆破强度模型。该方法使用了从文献中收集的不同钢级的完好和腐蚀管道的爆破试验数据,并考虑了数据源之间的差异。首先,采用最适合无腐蚀和腐蚀管道的爆破强度模型。爆破压力预测模型分为低级、中级和高级钢级。使用分层贝叶斯方法得出模型不确定性因子,以校准爆破强度模型。对三种材料类别中完好和腐蚀管道的模型不确定性因子的平均值和后验概率的不确定性进行了估算。本研究进一步调查了校准和非校准模型传播的不确定性,并得出了与校准相关的不确定性的重要结论。随着腐蚀缺陷的增加,预测不确定性呈非线性增加趋势。这项研究的重要性体现在一个案例研究中,该案例显示了与传统方法相比,使用建议方法所产生的不确定性差异。此外,对于腐蚀管道,模型不确定性因素被描述为缺陷深度的函数,其回归参数由基于贝叶斯的分层回归分析估算得出。最后,校准模型和非校准模型之间的比较表明,校准模型提供了非保守预测。
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引用次数: 0
Control variates with splitting for aggregating results of Monte Carlo simulation and perturbation analysis 用于汇总蒙特卡洛模拟和扰动分析结果的带分割的控制变量
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-20 DOI: 10.1016/j.strusafe.2024.102445
Cristóbal H. Acevedo , Marcos A. Valdebenito , Iván V. González , Héctor A. Jensen , Matthias G.R. Faes , Yong Liu

Estimation of second-order statistics allows characterizing the uncertainty associated with the response of stochastic finite element models. Two common approaches for estimating these statistics are Monte Carlo simulation and perturbation. The purpose of this paper is to present a framework to aggregate the results obtained by means of these two approaches under the umbrella of Control Variates with Splitting. This allows to produce estimates of the second-order statistics of the system’s response with improved precision and accuracy. More specifically, Control Variates is implemented in such a way that the variance of the estimates of second-order statistics is minimized. In addition, the application of intervening variables for enhancing perturbation is considered as well, showing substantial advantages by increasing the accuracy of the estimates of second-order statistics. The application of the proposed framework is illustrated by means of an example involving the estimation of second-order statistics of a model involving confined seepage flow.

估算二阶统计量可以描述与随机有限元模型响应相关的不确定性。估计这些统计量的两种常用方法是蒙特卡罗模拟和扰动。本文的目的是提出一个框架,将通过这两种方法获得的结果汇总到 "带分割的控制变量 "框架下。这样就能对系统响应的二阶统计进行估算,并提高估算的精度和准确性。更具体地说,"控制变量 "的实施方式是使二阶统计估计值的方差最小化。此外,还考虑了应用干预变量来增强扰动,通过提高二阶统计量估算的准确性,显示出实质性的优势。通过一个涉及封闭渗流模型二阶统计量估算的例子,说明了所提框架的应用。
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引用次数: 0
Stochastic modelling of in-structure concrete strength based on stochastic damage model and Burr distribution 基于随机损伤模型和布尔分布的结构内混凝土强度随机模型
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-19 DOI: 10.1016/j.strusafe.2024.102443
Jingran He , Junjie Hong , Ruofan Gao , Jinju Tao , Hongmin Yan

The probability measure of low-quality concrete is essential for the reliability analysis of concrete structures. However, this problem is usually neglected, and the normal distribution or lognormal distribution is often selected as the probability distribution of concrete strength. In this study, a better solution for this problem is given by theoretically deriving of the Burr distribution based on the stochastic damage model. A large amount of in-situ test data in engineering structures is applied to perform a K-S test of different distribution types and to fit the distribution parameters. As a result, the advantage of Burr distribution in representing the tail probability is explained by both theoretical derivation and fitting results. And the Burr distribution is accepted by the K-S test in every strength grade while the other distribution types are all partly rejected.

低质量混凝土的概率度量对于混凝土结构的可靠性分析至关重要。然而,这一问题通常被忽视,通常选择正态分布或对数正态分布作为混凝土强度的概率分布。本研究基于随机损伤模型,从理论上推导出 Burr 分布,为这一问题提供了更好的解决方案。应用工程结构中的大量现场测试数据,对不同分布类型进行 K-S 检验,并拟合分布参数。因此,理论推导和拟合结果都解释了 Burr 分布在表示尾部概率方面的优势。通过 K-S 检验,Burr 分布在每个强度等级中都被接受,而其他分布类型都被部分拒绝。
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引用次数: 0
Estimating intraevent and interevent variability and spatial correlation of tropical cyclone wind fields and their use for the risk assessment of a portfolio of structures 热带气旋风场的事件内和事件间变异性及空间相关性估算及其在结构组合风险评估中的应用
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-19 DOI: 10.1016/j.strusafe.2024.102440
C. Sheng , Q.Y. Fan , H.P. Hong

Often the tropical cyclone (TC) wind hazard assessment requires the use of the TC wind field model. While theoretical models typically predict the observed wind field well, there can be a spatially varying residual correlation that impacts the damage assessment of communities or groups of structures. In this study, we focus on developing spatial correlation models and assessing the intraevent and interevent variability of the TC wind field using the H*Wind dataset and two widely used wind field models - the vertically averaged boundary layer slab model and the gradient wind field-based model. Our models and the statistics of the interevent and intraevent variability are integrated into a framework for evaluating the wind-induced damage of a portfolio of structures. The framework includes simulating TC tracks and wind fields, considering interevent and intraevent variabilities, and assessing peak linear elastic and nonlinear responses. Numerical examples illustrating the use of this framework are provided, indicating that realistic spatial correlation of the TC wind field needs to be considered to assess the correlation coefficient of the damage factor of a pair of spatially distributed structures and the probability distribution of the damage cost of a portfolio of structures.

热带气旋(TC)风灾评估通常需要使用热带气旋风场模型。虽然理论模型通常能很好地预测观测到的风场,但可能存在空间变化的残余相关性,从而影响对社区或建筑群的损害评估。在本研究中,我们重点利用 H*Wind 数据集和两种广泛使用的风场模型(垂直平均边界层板模型和基于梯度风场的模型),开发空间相关性模型并评估 TC 风场的事件内和事件间变异性。我们的模型以及事件间和事件内变异性统计被整合到一个框架中,用于评估风引起的结构组合破坏。该框架包括模拟热带气旋轨迹和风场,考虑事件内和事件间变异性,以及评估线性弹性和非线性峰值响应。提供的数值示例说明了这一框架的使用,表明需要考虑热带气旋风场的现实空间相关性,以评估一对空间分布结构的损坏系数的相关系数以及结构组合的损坏成本的概率分布。
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引用次数: 0
Life-cycle performance of aluminium cladding panels in resisting hailstorms 铝制覆面板在抵御冰雹暴雨中的寿命周期性能
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-18 DOI: 10.1016/j.strusafe.2024.102439
Shuangmin Shi , Nelson Lam , Yiwen Cui , Guoxing Lu , Emad Gad , Lihai Zhang

This paper delves into cumulative damage on aluminium cladding panels attributed to hailstorms throughout the lifespan of the installations. 40 gas gun tests subjecting the cladding panel to repeated impact were undertaken for the purpose of studying cumulative damage behaviour. Insights from these tests were integrated into a hail size distribution model to characterise the probabilistic distribution of permanent indentation resulted from multiple hailstorm events. A life-cycle analysis framework was subsequently introduced, incorporating the natural variability of hailstone sizes and dynamic response of claddings to repeated ice impact. Intervention criterion can be established based on knowledge of the accumulation of permanent indentation into the cladding panels. Proactive actions are recommended should the indentations become visible to prevent worsening damage. Randomness of hailstorm occurrences was considered using hazard function which can be inferred from historical observations. Practical application of the proposed model is illustrated through case studies of two Australian states, coupled with comparative analyses highlighting key factors influencing cladding performance. The ability to account for stochasticity distinguishes the presented framework from existing deterministic approaches.

本文深入研究了铝制覆面板在整个安装寿命期间因冰雹造成的累积损坏。为了研究累积损伤行为,对覆面板进行了 40 次反复冲击的气枪试验。这些试验的结果被纳入冰雹大小分布模型,以确定多次冰雹事件造成永久压痕的概率分布特征。随后引入了一个生命周期分析框架,将冰雹大小的自然变化和覆层对重复冰冲击的动态响应纳入其中。根据对覆层板永久压痕累积情况的了解,可以制定干预标准。一旦发现压痕,建议采取积极行动,以防止损坏恶化。雹暴发生的随机性可通过从历史观测中推断出的危险函数加以考虑。通过对澳大利亚两个州的案例研究,以及突出影响覆层性能的关键因素的比较分析,说明了所建议模型的实际应用。考虑随机性的能力使所提出的框架有别于现有的确定性方法。
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引用次数: 0
Seismic risk assessment of highway bridges in western Canada under crustal, subcrustal, and subduction earthquakes 加拿大西部公路桥梁在地壳、次地壳和俯冲地震下的地震风险评估
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-18 DOI: 10.1016/j.strusafe.2024.102441
Yihan Shao, Yazhou Xie

This study conducts seismic risk assessment of highway bridges in western Canada. The performance-based earthquake engineering (PBEE) framework is enhanced to assess the expected annual repair cost ratio (ARCR) and annual restoration time (ART) of a benchmark bridge class under the region’s three types of earthquakes - shallow crustal earthquakes (CEs), deep subcrustal earthquakes (SCEs), and megathrust Cascadia subduction earthquakes (CSEs). First, event-specific seismic hazard models are considered, whereas event-consistent ground motions are selected for non-linear time history analyses. Compared with those from CEs and SCEs, CSE ground motions feature a much longer duration. This long-duration effect is captured by validating the numerical model of the bridge column against (1) a cyclic pushover test under standard versus long-duration loading protocols and (2) a shaking table test excited by six consecutive ground motions. Besides, the Park and Ang damage index is utilized as the column’s engineering demand parameter (EDP) and updated as a demand-capacity ratio model when reaching four different damage states. A comprehensive list of ground motion intensity measures (IMs) is considered where the spectra acceleration at one second, Sa(1.0), is chosen as the most suitable IM based on its performance in proficiency, efficiency, practicality, and EDP-IM correlation across all three earthquake events. Subsequently, component- and system-level fragility models are derived under each earthquake type using the cloud analysis that convolves the seismic demands with capacity models for multiple bridge components. To further quantify and propagate the epistemic uncertainty associated with the development of probabilistic seismic demand models (PSDMs), the bootstrap resampling technique is utilized to generate numerous seismic demand datasets and develop a stochastic set of seismic fragility curves. Finally, the bootstrapped, event-dependent fragility models are combined with the respective hazard models and probabilistic loss functions to assess the expected ARCR and ART for the benchmark bridge class. This study underscores the significantly higher seismic risk of highway bridges when facing CSEs, followed by CEs and SCEs.

本研究对加拿大西部的公路桥梁进行了地震风险评估。基于性能的地震工程 (PBEE) 框架被扩展用于评估该地区三种类型地震--浅地壳地震 (CE)、深次地壳地震 (SCE) 和大地壳卡斯卡迪亚俯冲地震 (CSE)--下基准桥梁等级的预期年修复成本率 (ARCR) 和年修复时间 (ART)。首先,考虑了特定事件的地震灾害模型,而非线性时间历程分析则选择了与事件一致的地面运动。与 CE 和 SCE 地震相比,CSE 地震的地面运动持续时间更长。通过(1)标准加载协议与长持续时间加载协议下的循环推移试验,以及(2)由六个连续地震动激发的振动台试验来验证桥柱的数值模型,可以捕捉到这种长持续时间效应。此外,Park 和 Ang 损坏指数被用作桥柱的工程需求参数(EDP),并在达到四种不同损坏状态时作为需求容量比模型进行更新。考虑了一系列地面运动烈度测量方法(IMs),其中一秒加速度谱(Sa(1.0))被选为最合适的地面运动烈度测量方法,其依据是它在三个地震事件中的熟练程度、效率、实用性以及 EDP 与 IM 的相关性。随后,利用云分析将地震需求与多个桥梁构件的承载力模型相联系,得出了每种地震类型下的构件和系统级脆性模型。为进一步量化和传播与开发概率地震需求模型(PSDMs)相关的认识不确定性,利用自举重采样技术生成大量地震需求数据集,并开发一套随机地震脆性曲线。最后,将自举法、事件相关脆性模型与相应的危险模型和概率损失函数相结合,评估基准桥梁等级的预期 ARCR 和 ART。这项研究强调了公路桥梁在面临 CSE 时的地震风险明显更高,其次是 CE 和 SCE。
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引用次数: 0
Probabilistic models of dynamic increase factor (DIF) for reinforced concrete structures: A Bayesian approach 钢筋混凝土结构动态增加系数 (DIF) 的概率模型:贝叶斯方法
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-01-09 DOI: 10.1016/j.strusafe.2024.102430
Dade Lai , Fabrizio Nocera , Cristoforo Demartino , Yan Xiao , Paolo Gardoni

The response of structures under rapidly varying loads can be affected by strain rate sensitivity generally expressed using Dynamic Increase Factor (DIF). Current models for estimating the DIF in Reinforced Concrete (RC) structures are generally deterministic and have restricted applicability due to their dependence on limited experimental data resulting in bias. This paper overcomes these limitations by proposing three probabilistic models that quantify compressive and tensile concrete and steel DIF, accounting for the relevant uncertainties. The proposed models are based on existing deterministic models with the addition of probabilistic correction terms. Bayesian updating is employed to estimate the unknown model parameters using observational data from a large collection of experimental observations. The models incorporate model uncertainties stemming from assumed model form and (potential) missing variables through a model error term. The proposed probabilistic models are used to evaluate the reliability of RC structures under dynamic loads. As an illustration, the proposed probabilistic models are used to estimate the reliability of an example RC column under combined dynamic axial force and moment, and a RC column or beam under dynamic bending moments resulting in cracking. In the two examples, we consider the ACI 318-19 requirements for Ultimate Limit State (ULS) and Serviceability Limit States (SLS). In comparison to deterministic DIF models, the proposed probabilistic models yield enhanced predictive accuracy, presenting a practical and robust approach to assess the structural reliability under impact and blast loads.

结构在快速变化荷载作用下的响应会受到应变率敏感性的影响,一般用动态增大系数(DIF)来表示。目前用于估算钢筋混凝土(RC)结构中 DIF 的模型通常是确定性的,由于依赖于有限的实验数据,其适用性受到限制,从而导致偏差。本文克服了这些局限性,提出了三种概率模型来量化混凝土和钢材的抗压和抗拉 DIF,并考虑了相关的不确定性。提出的模型以现有的确定性模型为基础,增加了概率修正项。采用贝叶斯更新法,利用大量实验观测数据对未知模型参数进行估计。这些模型通过模型误差项纳入了由假定模型形式和(潜在)缺失变量引起的模型不确定性。所提出的概率模型用于评估动态载荷下 RC 结构的可靠性。举例说明,建议的概率模型可用于估算在动态轴力和弯矩作用下的钢筋混凝土柱的可靠性,以及在动态弯矩作用下导致开裂的钢筋混凝土柱或梁的可靠性。在这两个例子中,我们考虑了 ACI 318-19 对极限状态 (ULS) 和适用性极限状态 (SLS) 的要求。与确定性 DIF 模型相比,所提出的概率模型提高了预测精度,为评估冲击和爆炸荷载下的结构可靠性提供了一种实用而稳健的方法。
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引用次数: 0
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Structural Safety
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