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Unveiling the Implicitness: Kolmogorov-Arnold Networks for Structural Reliability Problems 揭示隐含性:结构可靠性问题的Kolmogorov-Arnold网络
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3308
Fahri Baran Köroğlu, Katherine Cashell, Engin Aktaş

The analysis and design process in structural engineering relies on the results obtained of the structural model from the black-box finite element analysis which causes implicit limit state function (i-LSF) in the structural reliability analysis (SRA). The current surrogate modeling techniques are based on evaluating the i-LSF to construct surrogates. However, even though their computational efficiencies and accuracies, the developed surrogates are mainly still implicit or yield highly complex i-LSFs. In this work, the Kolmogorov-Arnold Network (KAN) is used to discover an equivalent explicit LSF (ee-LSF) by generating a symbolic function for a given dataset. The discovered ee-LSF can be used in SRA since the expensive FEA is now able to be replaced by a simple explicit function. This paradigm allows us to unveil the implicitness of LSFs by discovering equivalent formulations through KANs which is novel to this work. Two examples are covered in this paper to present the ee-LSF approach. The ee-LSF approach demonstrates high accuracy, though its computational efficiency is currently lower compared to other surrogate modeling techniques. This limitation presents an opportunity for enhancement in future studies, particularly through integration with advanced sampling techniques.

结构工程中的分析和设计过程依赖于由黑箱有限元分析得到的结构模型的结果,这在结构可靠性分析中产生了隐式极限状态函数。目前的代理建模技术是基于对i-LSF的评估来构建代理。然而,即使它们的计算效率和准确性,所开发的替代品主要仍然是隐式的或产生高度复杂的i- lsf。在这项工作中,Kolmogorov-Arnold网络(KAN)通过为给定数据集生成符号函数来发现等效的显式LSF (ee-LSF)。发现的ee-LSF可以用于SRA,因为现在可以用简单的显式函数代替昂贵的FEA。这种范式允许我们通过kan发现等效公式来揭示lsf的隐含性,这对这项工作来说是新颖的。本文介绍了两个例子来介绍ee-LSF方法。ee-LSF方法显示出较高的准确性,尽管其计算效率目前低于其他代理建模技术。这一限制为未来的研究提供了一个增强的机会,特别是通过与先进的采样技术相结合。
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引用次数: 0
Modification of the partial safety factor for dead loads of existing concrete bridges 既有混凝土桥梁自重部分安全系数的修正
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3347
Johannes Diers, Gregor Schacht

The assessment of the load bearing capacity of existing structures is a task with growing importance, especially within the context of the aging infrastructure in Germany. This is usually done with information based on old documents from the construction phase. One of the main load cases of a concrete bridge is its own weight (dead loads) which depends on the geometry and material weights. As there are always some deviations between the real structure and the target state based on documents, a partial safety factor is applied to the loads. In contrast to the assessment of a new structure that is yet to be built these deviations are not theoretical for existing structures but can instead be measured. However, the acquisition and usage of the actual weight distribution of a bridge can be very work intensive and expensive. Therefore, it can be more practical to instead modify the safety elements for the dead loads as a function of the measured deviations based on a certain number of samples. This approach was applied on three existing concrete valley bridges resulting in lower partial safety factors and therefore more efficient assessments of the load bearing capacities.

评估现有结构的承载能力是一项越来越重要的任务,特别是在德国老化的基础设施的背景下。这通常是使用基于构建阶段的旧文档的信息来完成的。混凝土桥梁的主要荷载之一是其自重(自重),这取决于几何形状和材料重量。由于实际结构与文献中给出的目标状态存在一定的偏差,故采用部分安全系数对荷载进行计算。与对尚未建成的新结构的评估相反,这些偏差对现有结构来说不是理论上的,而是可以测量的。然而,获取和使用桥梁的实际重量分布可能是非常繁重的工作和昂贵的。因此,将恒载的安全系数修改为基于一定数量样本的测量偏差的函数可能更实际。这种方法被应用于三座现有的混凝土山谷桥,结果是较低的部分安全系数,因此更有效地评估了承载能力。
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引用次数: 0
Recent developments in the research project ZfPStatik for a guideline on inspection-supported reliability assessment of existing bridges in Germany 研究项目ZfPStatik在德国现有桥梁检验支持可靠性评估准则方面的最新进展
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3324
Christian Kainz, Thomas Braml, Stefan Küttenbaum

Bridges demand detailed analysis and adherence to evolving engineering standards. Many existing bridges are experiencing challenges such as aging-related deterioration, increased traffic loads, and discrepancies with updated technical requirements. This paper aims to present the key elements of a newly developed recommendation for action about inspection-based reliability analysis of existing bridges in Germany.

The project seeks to integrate the benefits of semi-probabilistic and probabilistic assessment concepts, enabling the incorporation of measured data into the reliability analysis of existing structures through partial factor modification. The primary focus is on broader use of non-destructive testing methods for verifications in both the ultimate limit state and the serviceability limit state. The project, which started in 2022, is carried out by several research institutes and engineering companies. The project and the developed recommendation are outlined, covering the process from defining targeted inspection strategies to assessing the quality of measured data and performing structural, partial factor-based evaluations utilizing the quality-assessed on-site inspection results. The application is demonstrated through a case study involving an existing concrete frame bridge, temperature monitoring and inspection of the reinforcement.

桥梁需要详细的分析,并遵守不断发展的工程标准。许多现有的桥梁正面临着诸如老化相关的恶化、交通负荷增加以及与最新技术要求的差异等挑战。本文旨在介绍一项新制定的关于德国现有桥梁基于检查的可靠性分析的行动建议的关键要素。该项目寻求整合半概率和概率评估概念的好处,通过部分因素修改,将测量数据纳入现有结构的可靠性分析。主要的焦点是更广泛地使用无损检测方法来验证最终极限状态和可使用极限状态。该项目始于2022年,由几家研究机构和工程公司共同实施。概述了该项目和制定的建议,涵盖了从确定有针对性的检查策略到评估测量数据的质量以及利用质量评估的现场检查结果进行结构性、部分因素评估的过程。通过一个涉及现有混凝土框架桥、温度监测和钢筋检查的案例研究来证明该应用。
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引用次数: 0
Applying machine learning in nondestructive evaluating the subsurface tensile strength of cementitious flooring. 机器学习在水泥地板地下抗拉强度无损评价中的应用。
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3325
Mateusz Moj, Łukasz Sadowski, Sławomir Czarnecki

This study investigates the potential of selected machine learning algorithms to predict the subsurface tensile strength of eco-friendly cementitious floor composites containing fly ash, ground granulated blast furnace slag, and granite processing waste. The experimental database, built on 23 mixtures with up to 30% SCM replacement, was completed and analysed statistically. Destructive testing was used to obtain reference values of subsurface tensile strength. Three machine learning algorithms k-Nearest Neighbors (kNN), Adaptive Boosting (AdaBoost), and Support Vector Machines (SVM) were trained using 5-fold cross-validation. The kNN model with Manhattan distance and distance-based weighting achieved the highest accuracy (R = 0.862, MAPE = 6.81%), outperforming the other models. The findings demonstrate that appropriately calibrated machine learning models can serve as reliable tools for non-destructive prediction of tensile strength in sustainable cement composites, reducing time and material losses in quality control.

本研究探讨了所选机器学习算法的潜力,以预测含有粉煤灰、磨粒高炉渣和花岗岩加工废料的环保胶凝地坪复合材料的地下抗拉强度。实验数据库建立在23种混合物中,SCM的替代率高达30%,完成并进行了统计分析。采用破坏性试验获得了地下抗拉强度的参考值。三种机器学习算法k-最近邻(kNN)、自适应增强(AdaBoost)和支持向量机(SVM)使用5倍交叉验证进行训练。基于曼哈顿距离和距离加权的kNN模型准确率最高(R = 0.862, MAPE = 6.81%),优于其他模型。研究结果表明,适当校准的机器学习模型可以作为可靠的工具,用于无损预测可持续水泥复合材料的抗拉强度,减少质量控制中的时间和材料损失。
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引用次数: 0
A Risk-based Framework for Scour Assessment and Emergency Management of Bridges 基于风险的桥梁冲刷评估与应急管理框架
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3353
Fatemeh Fadaei, Pier Francesco Giordano, Maria Pina Limongelli

Managing bridges during and after catastrophic events is a challenging task, requiring a balance between the safety of users and minimizing functional disruptions. Scour around bridge foundations is the leading cause of collapses in watercourse-spanning bridges. Currently, the most common method for scour monitoring is visual inspection but it is labor-intensive, inefficient, and unreliable. In response to that, Structural Health Monitoring (SHM) systems have gained interest in recent years. However, for large infrastructure networks, equipping all bridges with sensors is economically unfeasible, limiting sensor use to critical structures. This study implements a probabilistic framework for scour assessment in a bridge network using Bayesian Networks (BNs). This framework employs data from installed scour monitoring systems at key bridge locations to infer scour depths at unmonitored piers. It then enhances decision-making by integrating BN-derived scour data with analyses of both direct and indirect costs linked to various management plans. Finally, the proposed risk-based framework is applied to a case study involving a network of bridges spanning a same river.

在灾难性事件发生期间和之后管理桥梁是一项具有挑战性的任务,需要在用户安全和最大限度地减少功能中断之间取得平衡。桥梁基础周围的冲刷是跨水道桥梁坍塌的主要原因。目前,最常用的冲刷监测方法是目测,但目测劳动强度大、效率低、不可靠。近年来,结构健康监测(SHM)系统引起了人们的广泛关注。然而,对于大型基础设施网络,在所有桥梁上配备传感器在经济上是不可实现的,这限制了传感器在关键结构上的使用。本研究使用贝叶斯网络(BNs)实现了桥梁网络冲刷评估的概率框架。该框架采用安装在关键桥梁位置的冲刷监测系统的数据来推断未监测桥墩的冲刷深度。然后,通过将bn衍生的冲刷数据与与各种管理计划相关的直接和间接成本分析相结合,提高决策能力。最后,将提出的基于风险的框架应用于涉及跨越同一条河流的桥梁网络的案例研究。
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引用次数: 0
Digital display of a Process Management with the Software DigiCon using the Project Risk Twin as an Example 以项目风险孪生模型为例,用软件DigiCon进行过程管理的数字显示
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3337
Carl Philipp Friedinger, Christian Georg Zimmermann, Ralf Günther Lösch, Philip Sander

Managing mega construction projects involves extensive processes that are often unstructured. The DigiPeC research project tackles this issue by developing a software solution.

At the IPD Innovation Hub, established with DigiPeC's support, expertise in project management is consolidated. Based on this, the software DigiCon is developed to structure and streamline complex processes digitally.

DigiCon enables interactive, structured process mapping, enhancing risk management and innovative models like IPA or Allianz. The successfully implemented Project Risk Twin (PRT) has been integrated as a case study, applied in major projects such as Hamburg's U5, Munich's 2nd S-Bahn line, and the Brenner Base Tunnel. The PRT supports structured cost, risk, and schedule analysis throughout planning, construction, and operations. Its benefits include improved risk identification, proactive delay prevention, and opportunity utilisation. Digital integration enhances its usability.

This paper highlights DigiCon's ability to optimise processes, increase efficiency, and reduce project risks, leading to improved scheduling and lower uncertainty.

管理大型建设项目涉及广泛的过程,这些过程往往是非结构化的。DigiPeC研究项目通过开发软件解决方案来解决这个问题。在DigiPeC的支持下建立的IPD创新中心,巩固了项目管理方面的专业知识。在此基础上,开发了数字化构建和简化复杂流程的软件DigiCon。DigiCon实现了交互式、结构化的流程映射,增强了风险管理和创新模式,如IPA或Allianz。成功实施的项目风险孪生(PRT)已被整合为案例研究,应用于汉堡U5、慕尼黑2号S-Bahn线和布伦纳基线隧道等重大项目。PRT支持整个计划、建设和运营的结构化成本、风险和进度分析。它的好处包括改进风险识别、主动延迟预防和机会利用。数字集成增强了它的可用性。本文强调了DigiCon优化流程、提高效率和降低项目风险的能力,从而改善了调度,降低了不确定性。
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引用次数: 0
Spatial Variability of the Two-Phase Lattice Discrete Particle Model for Simulating Mechanical Behavior of Concrete 模拟混凝土力学行为的两相点阵离散粒子模型的空间变异性
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3315
Jelle Billiet, Jiajia Wang, Wouter Botte, Jan Vorel, Roman Wan-Wendner

Concrete, a composite material made of aggregates embedded in a cement matrix, exhibits complex mechanical behavior at the mesoscale, where the distribution and interaction of components significantly influence macroscopic properties, including failure patterns. The traditional Lattice Discrete Particle Model (LDPM) has been effective for simulating concrete at the coarse aggregate level, but it oversimplifies the heterogeneity between aggregates and the cement matrix. In the standard LDPM, tetrahedral subdomains combine aggregates and matrix as uniform material, neglecting essential heterogeneity. This oversimplification fails to accurately capture the variability and scatter observed in experiments. To address this, a two-phase LDPM is proposed, explicitly considering aggregates and the matrix as separate phases within each subdomain. Hence, the local material property is linked to the heterogenous mesostructure of the material. The random fields of the spatially variable concrete stiffness are characterized by the determination of the correlation model, considering different particle sizes, positions, and specimen dimensions. This new approach improves the realism of LDPM simulations without increasing the computational cost.

混凝土是一种由嵌入水泥基质中的骨料制成的复合材料,在中尺度上表现出复杂的力学行为,其中成分的分布和相互作用显著影响宏观特性,包括破坏模式。传统的点阵离散粒子模型(LDPM)可以有效地模拟粗骨料水平的混凝土,但它过于简化了骨料与水泥基体之间的非均质性。在标准LDPM中,四面体子畴将聚集体和基体作为均匀材料,忽略了本质的非均质性。这种过度简化不能准确地捕捉实验中观察到的变异性和分散性。为了解决这个问题,提出了一种两相LDPM,明确地将聚集体和矩阵作为每个子域中的单独阶段。因此,材料的局部性质与材料的异质细观结构有关。考虑不同的颗粒尺寸、位置和试件尺寸,通过确定相关模型来表征空间可变混凝土刚度随机场。该方法在不增加计算成本的前提下提高了LDPM仿真的真实感。
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引用次数: 0
Stochastic evaluation of uncertainties in fatigue lifetime predictions of SFRC SFRC疲劳寿命预测不确定性的随机评价
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3306
Peter Heek

The fatigue behaviour of plain (PC) and steel fibre reinforced concrete (SFRC) is usually assessed on the basis of experimentally derived SN curves. Test data exhibit large inherent scatter in numbers of cycles to failure leading to significant uncertainties in calculated lifetime predictions. The paper deals with the stochastic evaluation of these uncertainties introducing mechanically based SN curves. The curves take into account effects of the concrete's fracture energy and of the steel fibre's post cracking tensile strength as a function of fibre type, dosage, orientation and bond behaviour by a dimensionless ductility index. Response surface methodology serves to fit the approach to experimental data taken from the literature and to assess its prediction accuracy by specifying confidence intervals. Besides, variance-based sensitivity analyses using Latin Hypercube Sampling to generate random variables are numerically executed to theoretically quantify the effect of scattering input parameters on scattering numbers of cycles to failure. Two examples demonstrate the procedure and underline the experimental observation that the concrete's tensile strength governs fatigue performance at high stress levels while fibre dosage and orientation become meaningful at low ones.

普通混凝土(PC)和钢纤维混凝土(SFRC)的疲劳性能通常是在实验推导的SN曲线的基础上进行评估的。测试数据在失效的循环次数上表现出很大的固有离散性,导致计算寿命预测存在很大的不确定性。本文引入基于力学的SN曲线,对这些不确定性进行随机评价。这些曲线通过无因次延性指数考虑了混凝土断裂能和钢纤维开裂后抗拉强度作为纤维类型、用量、取向和粘结行为的函数的影响。响应面法用于拟合从文献中获得的实验数据的方法,并通过指定置信区间来评估其预测准确性。此外,采用拉丁超立方体抽样生成随机变量,进行基于方差的灵敏度分析,从理论上量化散射输入参数对失效周期散射数的影响。两个例子证明了这一过程,并强调了实验观察,即混凝土的抗拉强度决定了高应力水平下的疲劳性能,而纤维的用量和取向在低应力水平下变得有意义。
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引用次数: 0
Reducing Conservatism in Wind Load Design: A Probabilistic Approach for Railway Bridges 降低风荷载设计中的稳健性:铁路桥梁的一种概率方法
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3362
Matthias Schubert, Paul-Remo Wagner, Oliver Kübler, Poul Schroeder

A railway bridge in Switzerland has been analyzed for wind-induced structural loads using long-term meteorological data. The Swiss standards and also the Eurocodes assume direction-independent wind pressures, leading to conservative design values. This study employs a directional wind load assessment, considering both longitudinal and transverse wind components. As a linear structure, the bridge is primarily affected by wind from a single dominant direction, offering substantial optimization potential. Using a Gumbel distribution for extreme value modeling, characteristic wind pressures were derived from a 43-year dataset. The results indicate a significant reduction in the transverse wind pressure (qp0,char = 0.79 kN/m2) compared to the normative approach (qp0,char = 1.3 kN/m2). Furthermore, the long-term wind data do not show an increasing trend in wind speeds over time. This refined methodology offers potential for optimizing structural design and enhancing sustainability in bridge engineering. The findings support a probabilistic approach to wind load estimation, promoting cost-effective design adaptations for existing bridges.

利用长期气象资料对瑞士一座铁路桥的风致结构荷载进行了分析。瑞士标准和欧洲规范假定风压与方向无关,导致保守的设计值。本研究采用定向风荷载评估,同时考虑了纵向和横向风分量。作为一个线性结构,桥梁主要受单一主导方向的风的影响,提供了大量的优化潜力。使用Gumbel分布进行极值建模,从43年的数据集中得到特征风压。结果表明,与规范方法(qp0,char = 1.3 kN/m2)相比,横向风压(qp0,char = 0.79 kN/m2)显著降低。此外,长期风资料没有显示风速随时间的增加趋势。这种改进的方法为优化结构设计和提高桥梁工程的可持续性提供了潜力。研究结果支持了风荷载估计的概率方法,促进了现有桥梁的成本效益设计适应。
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引用次数: 0
A data-driven approach to improve model uncertainty of concrete crack prediction in determining SLS target reliability. 基于数据驱动的混凝土裂缝预测模型不确定性改进方法确定SLS目标可靠性。
Pub Date : 2025-09-05 DOI: 10.1002/cepa.3322
Christina McLeod, Georgios Drosopoulos

This paper reports a data-driven approach using Artificial Neural Network (ANN) machine learning tools to predict crack widths in reinforced concrete due to irreversible serviceability limit state (SLS) load-induced cracking. SLS target reliability levels in design standards such as Eurocode and those of South Africa were assigned using ultimate limit state values. Where SLS cracking is the dominant criterion, these levels are insufficient, needing a full probabilistic analysis. With SLS cracking the limiting criterion in the design of reinforced concrete water retaining structures and bridges, these types of structures would benefit from improvements to both crack prediction and suitable reliability levels. The semi-analytical SLS load-induced crack formulations in design standards have a model uncertainty CoV in the order of 0,35 to 0,38, significant in probabilistic analysis and reliability (where general structural uncertainty CoV is 0,1. Model uncertainty as a random variable is highly dependent on the crack formulation considered, making target reliability assessment challenging. The ANN model aims to improve crack model uncertainty. A dataset compiled from experimental research on load-induced cracking is used to train the ANN model.

本文报道了一种数据驱动的方法,使用人工神经网络(ANN)机器学习工具来预测钢筋混凝土由于不可逆使用能力极限状态(SLS)荷载引起的裂缝宽度。设计标准(如欧洲规范和南非标准)中的SLS目标可靠性水平使用极限状态值进行分配。当SLS破解是主要标准时,这些级别是不够的,需要进行完整的概率分析。随着SLS裂缝成为钢筋混凝土挡水结构和桥梁设计的极限准则,这些类型的结构将受益于裂缝预测和合适的可靠度水平的改进。设计标准中半解析式SLS荷载诱导裂纹公式的模型不确定性CoV在0.35 ~ 0.38之间,在概率分析和可靠性方面具有显著性(其中一般结构不确定性CoV为0.1)。模型不确定性作为一个随机变量,高度依赖于所考虑的裂纹形式,使得目标可靠性评估具有挑战性。人工神经网络模型旨在改善裂纹模型的不确定性。利用荷载诱发开裂实验研究的数据集对人工神经网络模型进行训练。
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引用次数: 0
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