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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
Global sensitivity analysis of the maximum live load and its applications 最大活载荷的全局敏感性分析及其应用
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-04-26 DOI: 10.1016/j.strusafe.2024.102476
Chi Xu , Jun Chen , Jie Li

The design live loads are determined by the probability distribution of the maximum live load, which is influenced by the amplitudes and time intervals of various sustained and extraordinary loads. If the relative impact of different input variables on the maximum can be clarified, more targeted load surveys and modeling can be achieved. However, there is currently no global sensitivity analysis that simultaneously considers all input variables. In this study, the probability density function of the maximum live load is determined using the load coincidence principle and probability density evolution method. The relative entropy is employed as a measure for conducting a global sensitivity analysis across five common building occupancy types. The results indicate a significant imbalance in the impact of different input variables. The load amplitudes have a much greater effect than the time intervals. Among various load amplitudes, those related to the extraordinary loads often have the most significant impact. Regarding the time intervals, the occurrence intervals corresponding to the extraordinary loads caused by furniture stacking and normal crowding consistently have the least influence. For the time intervals with minimal impact, it is suggested to treat them as deterministic values in the live load modeling. This treatment has a negligible impact (not exceeding 10%) on the mean and upper fractile of the maximum, which are generally used for design in load codes.

设计活荷载由最大活荷载的概率分布决定,而最大活荷载又受到各种持续荷载和超常荷载的振幅和时间间隔的影响。如果能明确不同输入变量对最大荷载的相对影响,就能进行更有针对性的荷载测量和建模。然而,目前还没有同时考虑所有输入变量的全局敏感性分析。本研究利用荷载重合原理和概率密度演化方法确定了最大活荷载的概率密度函数。在对五种常见建筑占用类型进行全局敏感性分析时,采用了相对熵作为衡量标准。结果表明,不同输入变量的影响严重失衡。负载振幅的影响远远大于时间间隔的影响。在各种负载振幅中,与特殊负载相关的振幅往往影响最大。就时间间隔而言,与家具堆放和正常拥挤造成的超常荷载相对应的时间间隔始终影响最小。对于影响最小的时间间隔,建议在活荷载建模中将其视为确定值。这种处理方法对最大值的平均值和上分位数的影响可以忽略不计(不超过 10%),而这些值通常用于荷载规范的设计。
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引用次数: 0
Reliability analysis of complex systems using subset simulations with Hamiltonian Neural Networks 利用汉密尔顿神经网络子集模拟进行复杂系统可靠性分析
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-04-25 DOI: 10.1016/j.strusafe.2024.102475
Denny Thaler , Somayajulu L.N. Dhulipala , Franz Bamer , Bernd Markert , Michael D. Shields

We present a new Subset Simulation approach using Hamiltonian neural network-based Monte Carlo sampling for reliability analysis. The proposed strategy combines the superior sampling of the Hamiltonian Monte Carlo method with computationally efficient gradient evaluations using Hamiltonian neural networks. This combination is especially advantageous because the neural network architecture conserves the Hamiltonian, which defines the acceptance criteria of the Hamiltonian Monte Carlo sampler. Hence, this strategy achieves high acceptance rates at low computational cost. Our approach estimates small failure probabilities using Subset Simulations. However, in low-probability sample regions, the gradient evaluation is particularly challenging. The remarkable accuracy of the proposed strategy is demonstrated on different reliability problems, and its efficiency is compared to the traditional Hamiltonian Monte Carlo method. We note that this approach can reach its limitations for gradient estimations in low-probability regions of complex and high-dimensional distributions. Thus, we propose techniques to improve gradient prediction in these particular situations and enable accurate estimations of the probability of failure. The highlight of this study is the reliability analysis of a system whose parameter distributions must be inferred with Bayesian inference problems. In such a case, the Hamiltonian Monte Carlo method requires a full model evaluation for each gradient evaluation and, therefore, comes at a very high cost. However, using Hamiltonian neural networks in this framework replaces the expensive model evaluation, resulting in tremendous improvements in computational efficiency.

我们提出了一种新的子集模拟方法,利用基于哈密尔顿神经网络的蒙特卡罗抽样进行可靠性分析。所提出的策略结合了哈密尔顿蒙特卡洛法的出色采样和使用哈密尔顿神经网络的高效梯度计算。这种结合尤其具有优势,因为神经网络结构保留了哈密顿,而哈密顿定义了哈密顿蒙特卡洛采样器的接受标准。因此,这种策略能以较低的计算成本实现较高的接受率。我们的方法使用子集模拟来估算小故障概率。然而,在低概率样本区域,梯度评估尤其具有挑战性。我们在不同的可靠性问题上证明了所提出策略的卓越准确性,并将其效率与传统的汉密尔顿蒙特卡罗方法进行了比较。我们注意到,这种方法在复杂和高维分布的低概率区域的梯度估计中会受到限制。因此,我们提出了在这些特殊情况下改进梯度预测的技术,从而实现对失效概率的准确估计。本研究的亮点是对参数分布必须通过贝叶斯推理问题来推断的系统进行可靠性分析。在这种情况下,哈密尔顿蒙特卡洛方法需要对每个梯度进行完整的模型评估,因此成本非常高。然而,在此框架中使用汉密尔顿神经网络可以取代昂贵的模型评估,从而极大地提高计算效率。
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引用次数: 0
A baseline approach for probabilistic blast risk analysis of building cladding under external explosions 外部爆炸下建筑物覆层爆炸风险概率分析的基线方法
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-04-10 DOI: 10.1016/j.strusafe.2024.102472
Orestis Ioannou, Georgios Rigoutsos, Dimitrios Vamvatsikos, Charis J. Gantes

The state of the practice in blast-resistant applications against explosions is to design the structural components for a prescribed combination of explosive mass and location, namely the design basis threat. In this context, the blast source is represented by specific scenarios, mostly associated with expert judgement, rating systems or code provisions. While offering a useful basis for practical applications, the level of detail can be significantly enhanced within a probabilistic framework for risk assessment. In research practice, plenty simplified probabilistic approaches have been proposed on external explosions in order to perform risk assessment. A rigorous methodology for such an assessment is presented herein, using tools and techniques derived from seismic risk-assessment applications. Specifically, the mean annual frequency of different explosive mass hazards is represented via a recurrence law, while the potential locations are modelled as a 2D spatial distribution, accounting for the various layers of defense that exist around the structure, i.e., perimeter protection, landscape, public or private spaces, etc. The methodology is finally substantiated with the case study of a typical building subjected to potential blast loadings from external aggressors.

在防爆应用中,针对爆炸质量和爆炸位置(即设计基础威胁)的规定组合来设计结构部件,是防爆应用中的惯例。在这种情况下,爆炸源由特定场景表示,大多与专家判断、评级系统或规范条款有关。虽然为实际应用提供了一个有用的基础,但在风险评估的概率框架内,详细程度可以大大提高。在研究实践中,针对外部爆炸提出了大量简化的概率方法,以进行风险评估。本文利用地震风险评估应用中衍生的工具和技术,提出了进行此类评估的严格方法。具体来说,不同爆炸质量危害的年平均频率通过重现定律表示,而潜在位置则以二维空间分布建模,并考虑到结构周围存在的各种防御层,即周边保护、景观、公共或私人空间等。最后,通过对一栋典型建筑进行案例研究,证实了该方法可承受外部攻击者的潜在爆炸荷载。
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引用次数: 0
Adaptive sampling based estimation of small probability of failure using interpretable Self-Organising Map 利用可解释自组织图,基于自适应抽样估算小故障概率
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-04-03 DOI: 10.1016/j.strusafe.2024.102470
Deepanshu Yadav, Kannan Sekar, Palaniappan Ramu

Structural and multidisciplinary design under uncertainty for high reliability or equivalently small probability of failure is a challenging task owing to the high computational cost associated with generating the samples at the extreme (tail) of the underlying distribution. Among other approaches, statistics of extremes based techniques are usually suitable for small probability estimation. However, typically only 10% of the samples generated that correspond to the tail of the distribution are used for probability estimation. If apriori information about regions in the design space that corresponds to the tail is available, additional samples in the identified region permit better tail fit and hence better probability estimation. In the current work, we propose iSOM (interpretable Self-Organising Map) to identify region/s in the design space, that corresponds to the extremes. An initial sample is used to map (visualize) the limit state function and random/design variables using iSOM which permits the designer to identify the region(s) that corresponds to the tail of the response. Adaptive sampling is performed in the identified region of interest to obtain additional samples. Next, the cumulative distribution function (CDF) of the response using initial as well as adaptive samples is evaluated for probability estimation. The effectiveness of the proposed approach is evident from its successful implementation on benchmark examples, real-world engineering examples, and a multi-objective reliability-based design optimization (MORBDO) case. The proposed method showcases the capability of iSOM to perform adaptive sampling for limit-state functions characterized by non-linearity and multiple modes. iSOM-enabled sampling in conjunction with log-TPNT provides better estimates of small failure probabilities than log-TPNT alone. The results from the proposed approach is compared with results from state-of-the-art (SOTA) sampling and surrogate-based techniques. For a given number of limit state evaluations, the proposed approach estimates probabilities of the order 1e−4, with lesser variance, compared to other SOTA approaches. Hence, the proposed approach is likely to encourage further research into employing iSOM-assisted sampling for other reliability estimation methods as well.

在不确定条件下进行结构设计和多学科设计,以获得高可靠性或等效的小故障概率,是一项极具挑战性的任务,因为在基本分布的极端(尾部)生成样本的计算成本很高。在其他方法中,基于极值统计的技术通常适用于小概率估计。然而,通常情况下,生成的样本中只有 10% 与分布尾部相对应,才会用于概率估计。如果设计空间中与尾部相对应的区域的先验信息可用,则识别区域中的额外样本可实现更好的尾部拟合,从而实现更好的概率估计。在当前的工作中,我们提出了 iSOM(可解释自组织图)来识别设计空间中与极端值相对应的区域。利用 iSOM,初始样本被用来映射(可视化)极限状态函数和随机/设计变量,从而使设计者能够识别与响应尾部相对应的区域。在确定的相关区域内进行自适应采样,以获得更多样本。接下来,使用初始样本和自适应样本对响应的累积分布函数(CDF)进行评估,以进行概率估计。通过在基准实例、实际工程实例和基于可靠性的多目标优化设计(MORBDO)案例中的成功实施,证明了所提方法的有效性。所提出的方法展示了 iSOM 对以非线性和多模式为特征的极限状态函数进行自适应采样的能力。建议方法的结果与最先进的(SOTA)采样和基于代用技术的结果进行了比较。对于给定数量的极限状态评估,与其他 SOTA 方法相比,拟议方法估计的概率为 1e-4 数量级,方差较小。因此,所提出的方法可能会鼓励进一步研究在其他可靠性估计方法中采用 iSOM 辅助抽样。
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引用次数: 0
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-04-03 DOI: 10.1016/j.strusafe.2024.102471
Mitsuyoshi Akiyama
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引用次数: 0
An enhanced learning function for bootstrap polynomial chaos expansion-based enhanced active learning algorithm for reliability analysis of structure 基于引导多项式混沌扩展的增强型主动学习算法的学习函数,用于结构可靠性分析
IF 5.8 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-03-20 DOI: 10.1016/j.strusafe.2024.102467
Avinandan Modak, Subrata Chakraborty

Sparse polynomial chaos expansion (PCE) combined with the bootstrap resampling method is a viable alternative to obtain an active learning algorithm for reliability analysis. The existing learning functions in PCE-based active learning algorithms do not consider the joint probability density function (PDF) information. The present study explores a sparse PCE-based active learning algorithm based on a newly proposed learning function that maintains a balance between the misclassification probability and the joint PDF information of sample points. In doing so, the coefficients of the sparse PCE are estimated using a Bayesian compressive sensing regressor, as it is noted to be one of the best-performing regression solvers for PCE, irrespective of sampling schemes. The proposed learning function considers the weight of the joint PDF with the local accuracy measure of bootstrap PCE (bPCE) to add new samples iteratively in the existing training set. The convergence is achieved when the ten consecutive failure estimates are within a negligible discrepancy and also checks the confidence bounds of the bPCE estimates. The effectiveness of the proposed approach is demonstrated using two structural engineering examples and one well-known analytical test function and is found to be quite efficient and accurate in estimating reliability.

稀疏多项式混沌扩展(PCE)与自举重采样法相结合,是获得可靠性分析主动学习算法的一种可行选择。现有基于 PCE 的主动学习算法中的学习函数并未考虑联合概率密度函数 (PDF) 信息。本研究探讨了一种基于稀疏 PCE 的主动学习算法,该算法基于新提出的学习函数,能在误分类概率和样本点的联合 PDF 信息之间保持平衡。在此过程中,稀疏 PCE 的系数使用贝叶斯压缩感知回归器进行估计,因为该回归器是 PCE 性能最佳的回归求解器之一,与采样方案无关。所提出的学习函数考虑了联合 PDF 的权重和自举 PCE(bPCE)的局部精确度,在现有训练集中迭代添加新样本。当连续十次故障估计值的偏差都在可忽略不计的范围内时,就实现了收敛,同时也检验了 bPCE 估计值的置信区间。利用两个结构工程实例和一个著名的分析测试函数证明了所提方法的有效性,并发现该方法在估计可靠性方面相当高效和准确。
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引用次数: 0
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Structural Safety
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