Pub Date : 2025-06-18DOI: 10.1016/j.strusafe.2025.102607
Morgane Menz , Miguel Munoz Zuniga , Delphine Sinoquet
A wide range of industrial applications require numerous time-consuming simulations across various input sets, such as for optimization, calibration, or reliability assessments. In that context, some simulation failures or instabilities can be observed, due for instance, to convergence issues of the numerical scheme of complex partial derivative equations. Most of the time, the set of inputs corresponding to failures is not known a priori and thus may be associated to a hidden constraint. Since the observation of a simulation failure regarding this unknown constraint may be as costly as a feasible expensive simulation, we seek to learn the feasible set of inputs and thus target areas without simulation failure before further analysis. In this classification context, we propose to learn the feasible domain with a new adaptive Gaussian Process Classifier. The proposed methodology is a batch-mode active learning classification strategy that reduces uncertainty step by step, using a random set paradigm and a Gaussian Process Classifiers. The performance of this strategy is demonstrated on several hidden-constrained problems, particularly in the context of a wind turbine simulator-based reliability analysis.
{"title":"Estimation of simulation failure set with active learning based on Gaussian Process classifiers and random set theory","authors":"Morgane Menz , Miguel Munoz Zuniga , Delphine Sinoquet","doi":"10.1016/j.strusafe.2025.102607","DOIUrl":"10.1016/j.strusafe.2025.102607","url":null,"abstract":"<div><div>A wide range of industrial applications require numerous time-consuming simulations across various input sets, such as for optimization, calibration, or reliability assessments. In that context, some simulation failures or instabilities can be observed, due for instance, to convergence issues of the numerical scheme of complex partial derivative equations. Most of the time, the set of inputs corresponding to failures is not known a priori and thus may be associated to a hidden constraint. Since the observation of a simulation failure regarding this unknown constraint may be as costly as a feasible expensive simulation, we seek to learn the feasible set of inputs and thus target areas without simulation failure before further analysis. In this classification context, we propose to learn the feasible domain with a new adaptive Gaussian Process Classifier. The proposed methodology is a batch-mode active learning classification strategy that reduces uncertainty step by step, using a random set paradigm and a Gaussian Process Classifiers. The performance of this strategy is demonstrated on several hidden-constrained problems, particularly in the context of a wind turbine simulator-based reliability analysis.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102607"},"PeriodicalIF":5.7,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144502235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-18DOI: 10.1016/j.strusafe.2025.102631
Sergio Belluco, Flora Faleschini
This study investigates the reliability and the model uncertainty of the anchorage length resistance models proposed in the 2nd generation Eurocode 2 and fib Model Code 2020. First, the two resistance models and their safety format are presented and discussed. Then, the probability distribution of the model uncertainty is estimated comparing the model predictions with a large set of flexural tests collected from the scientific literature. According to the results, the prestress release method and the strand surface conditions are the two variables affecting most the model uncertainty. Furthermore, it is demonstrated that anchorage lengths predicted with fib Model Code 2020 exceed the expected target level of reliability and they could be reduced, particularly for gradual prestress release. Conversely, anchorage lengths calculated according to the 2nd generation Eurocode 2 in case of sudden prestress release need to be increased to guarantee the expected level of reliability. For the same code, no significant changes are necessary in case of gradual prestress release.
{"title":"Probabilistic calibration of design resistance models for the anchorage length of prestressing strands considering model uncertainty","authors":"Sergio Belluco, Flora Faleschini","doi":"10.1016/j.strusafe.2025.102631","DOIUrl":"10.1016/j.strusafe.2025.102631","url":null,"abstract":"<div><div>This study investigates the reliability and the model uncertainty of the anchorage length resistance models proposed in the 2nd generation Eurocode 2 and <em>fib</em> Model Code 2020. First, the two resistance models and their safety format are presented and discussed. Then, the probability distribution of the model uncertainty is estimated comparing the model predictions with a large set of flexural tests collected from the scientific literature. According to the results, the prestress release method and the strand surface conditions are the two variables affecting most the model uncertainty. Furthermore, it is demonstrated that anchorage lengths predicted with <em>fib</em> Model Code 2020 exceed the expected target level of reliability and they could be reduced, particularly for gradual prestress release. Conversely, anchorage lengths calculated according to the 2nd generation Eurocode 2 in case of sudden prestress release need to be increased to guarantee the expected level of reliability. For the same code, no significant changes are necessary in case of gradual prestress release.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102631"},"PeriodicalIF":5.7,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144472418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-18DOI: 10.1016/j.strusafe.2025.102632
Thanh-Binh Tran , Emilio Bastidas-Arteaga
Accurate prediction of carbonation depth is crucial for evaluating the durability and service life of reinforced concrete structures. Traditional methods for assessing carbonation depth often involve destructive testing, which is both costly and time-consuming, and yields results with limited accuracy, thus restricting their practical applicability. To address these shortcomings, this research introduces a novel two-step procedure that leverages inspection data on concrete porosity and saturation degree to estimate carbonation depth. By integrating Bayesian networks and considering the influence of spatial variability, the proposed methodology aims to enhance prediction accuracy compared to existing techniques. The study comprehensively investigates the impact of various factors, including the use of individual or combined inspection data, spatial dependence, and inspection distance, on prediction performance. The findings demonstrate the effectiveness of the proposed approach in capturing complex interactions between concrete properties, carbonation depth, and spatial variability. This research contributes to the advancement of non-destructive evaluation methods for concrete structures and provides valuable insights for optimizing inspection strategies.
{"title":"Spatial variability identification of carbonation depth in concrete using Bayesian networks","authors":"Thanh-Binh Tran , Emilio Bastidas-Arteaga","doi":"10.1016/j.strusafe.2025.102632","DOIUrl":"10.1016/j.strusafe.2025.102632","url":null,"abstract":"<div><div>Accurate prediction of carbonation depth is crucial for evaluating the durability and service life of reinforced concrete structures.<!--> <!-->Traditional methods for assessing carbonation depth often involve destructive testing,<!--> <!-->which is both costly and time-consuming, and yields results with limited accuracy,<!--> <!-->thus restricting their practical applicability.<!--> <!-->To address these shortcomings,<!--> <!-->this research introduces a novel two-step procedure that leverages inspection data on concrete porosity and saturation degree to estimate carbonation depth.<!--> <!-->By integrating Bayesian networks and considering the influence of spatial variability,<!--> <!-->the proposed methodology aims to enhance prediction accuracy compared to existing techniques.<!--> <!-->The study comprehensively investigates the impact of various factors,<!--> <!-->including the use of individual or combined inspection data,<!--> <!-->spatial dependence,<!--> <!-->and inspection distance,<!--> <!-->on prediction performance.<!--> <!-->The findings demonstrate the effectiveness of the proposed approach in capturing complex interactions between concrete properties, carbonation depth, and spatial variability.<!--> <!-->This research contributes to the advancement of non-destructive evaluation methods for concrete structures and provides valuable insights for optimizing inspection strategies.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102632"},"PeriodicalIF":5.7,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144366112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-11DOI: 10.1016/j.strusafe.2025.102621
Anderson V. Pires, Maliki Moustapha, Stefano Marelli, Bruno Sudret
Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments are repeatable, i.e. they produce consistent outputs for a given set of inputs. However, real-world systems often exhibit stochastic behavior, leading to non-repeatable outcomes. These so-called stochastic simulators produce different outputs each time the model is run, even with fixed inputs.
This paper formally introduces reliability analysis for stochastic models and addresses it by using suitable surrogate models to lower its typically high computational cost. Specifically, we focus on the recently introduced generalized lambda models and stochastic polynomial chaos expansions. These emulators are designed to learn the inherent randomness of the simulator’s response and enable efficient uncertainty quantification at a much lower cost than traditional Monte Carlo simulation.
We validate our methodology through three case studies. First, using an analytical function with a closed-form solution, we demonstrate that the emulators converge to the correct solution. Second, we present results obtained from the surrogates using a toy example of a simply supported beam. Finally, we apply the emulators to perform reliability analysis on a realistic wind turbine case study, where only a dataset of simulation results is available.
{"title":"Reliability analysis for non-deterministic limit-states using stochastic emulators","authors":"Anderson V. Pires, Maliki Moustapha, Stefano Marelli, Bruno Sudret","doi":"10.1016/j.strusafe.2025.102621","DOIUrl":"10.1016/j.strusafe.2025.102621","url":null,"abstract":"<div><div>Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments are repeatable, <em>i.e.</em> they produce consistent outputs for a given set of inputs. However, real-world systems often exhibit stochastic behavior, leading to non-repeatable outcomes. These so-called stochastic simulators produce different outputs each time the model is run, even with fixed inputs.</div><div>This paper formally introduces reliability analysis for stochastic models and addresses it by using suitable surrogate models to lower its typically high computational cost. Specifically, we focus on the recently introduced generalized lambda models and stochastic polynomial chaos expansions. These emulators are designed to learn the inherent randomness of the simulator’s response and enable efficient uncertainty quantification at a much lower cost than traditional Monte Carlo simulation.</div><div>We validate our methodology through three case studies. First, using an analytical function with a closed-form solution, we demonstrate that the emulators converge to the correct solution. Second, we present results obtained from the surrogates using a toy example of a simply supported beam. Finally, we apply the emulators to perform reliability analysis on a realistic wind turbine case study, where only a dataset of simulation results is available.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102621"},"PeriodicalIF":5.7,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Corrigendum to “Evaluating the importance of spatial variability of corrosion initiation parameters for the risk-based maintenance of reinforced concrete marine structures” [Struct. Saf. 114 (2025) 102568]","authors":"Romain Clerc , Charbel-Pierre El-Soueidy , Franck Schoefs","doi":"10.1016/j.strusafe.2025.102618","DOIUrl":"10.1016/j.strusafe.2025.102618","url":null,"abstract":"","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"116 ","pages":"Article 102618"},"PeriodicalIF":5.7,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144242447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-04DOI: 10.1016/j.strusafe.2025.102623
Santiago López , Brais Barros , Manuel Buitrago , Jose M. Adam , Belen Riveiro
Bridges are among the most vulnerable and expensive assets of transportation networks. The failure of a bridge component can lead to catastrophic consequences for the entire structure. Therefore, vulnerability assessments have gained prominence to ensure their structural safety. However, as bridges age, performing a reliable assessment becomes increasingly challenging. This paper proposed a framework for the component-based vulnerability assessment of steel truss bridges. An index (SoD) that quantifies the State of Demand of each structural element is proposed. The level of vulnerability of all bridge elements is evaluated through a FEM-based approach that considers the uncertainty of the variables affecting the structural behaviour. The proposed framework has been tested in a real steel truss bridge located in Galicia, Spain. The framework finally integrates finite element modelling, uncertainty quantification and propagation, and probabilistic tools into a systematic approach for evaluating the component-level vulnerability of steel truss bridges. The outputs can be used to optimise inspection routines, reduce costs, and support the decision of authorities regarding bridge safety, monitoring, and maintenance. This work breaks new ground in the practical application of new knowledge, as the methodology could be further automated, simplifying engineering efforts and supporting bridge management entities to improve the bridge’s structural safety.
{"title":"Reliability-based vulnerability assessment of steel truss bridge components","authors":"Santiago López , Brais Barros , Manuel Buitrago , Jose M. Adam , Belen Riveiro","doi":"10.1016/j.strusafe.2025.102623","DOIUrl":"10.1016/j.strusafe.2025.102623","url":null,"abstract":"<div><div>Bridges are among the most vulnerable and expensive assets of transportation networks. The failure of a bridge component can lead to catastrophic consequences for the entire structure. Therefore, vulnerability assessments have gained prominence to ensure their structural safety. However, as bridges age, performing a reliable assessment becomes increasingly challenging. This paper proposed a framework for the component-based vulnerability assessment of steel truss bridges. An index (SoD) that quantifies the State of Demand of each structural element is proposed. The level of vulnerability of all bridge elements is evaluated through a FEM-based approach that considers the uncertainty of the variables affecting the structural behaviour. The proposed framework has been tested in a real steel truss bridge located in Galicia, Spain. The framework finally integrates finite element modelling, uncertainty quantification and propagation, and probabilistic tools into a systematic approach for evaluating the component-level vulnerability of steel truss bridges. The outputs can be used to optimise inspection routines, reduce costs, and support the decision of authorities regarding bridge safety, monitoring, and maintenance. This work breaks new ground in the practical application of new knowledge, as the methodology could be further automated, simplifying engineering efforts and supporting bridge management entities to improve the bridge’s structural safety.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102623"},"PeriodicalIF":5.7,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144222169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-02DOI: 10.1016/j.strusafe.2025.102619
Yongfeng Zhou , Jie Li
The Generalized Density Evolution Equation (GDEE) describes the evolution of probability densities driven by physical processes. The numerical solution of the GDEE, implemented through a fully developed computational framework, is referred to as the Probability Density Evolution Method (PDEM). However, the absence of analytical solutions presents challenges for error calibration in numerical methods. In this study, analytical solutions of the GDEE are derived, focusing primarily on stochastic dynamic systems. The forced vibration of an Euler-Bernoulli beam subjected to random excitations is first analyzed, yielding analytical solutions for mid-span displacement response. For lower dimensional scenarios, two cases are examined: random harmonic loading and random step loading, both involving uncertainties in structural parameters. Results reveal that the corresponding displacement responses are non-Gaussian and non-stationary random processes. For higher dimensional scenarios, additional noise excitation is considered. By employing the Stochastic Harmonic Function (SHF) representation, noise excitation is effectively approximated as a superposition of finite random harmonic loads. Analytical derivations demonstrate that the SHF representation gradually converges toward the actual noise as the expansion terms increase. Furthermore, to illustrate the versatility of the developed analytical method, a nonlinear free vibration analysis of a Kirchhoff plate without external excitations is presented, showcasing its applicability to broader structural dynamic problems. These analytical solutions provide valuable benchmarks for further in-depth research into the PDEM, especially for the calibration of numerical methods.
{"title":"Analytical solution of the generalized density evolution equation for stochastic systems: Euler-Bernoulli beam under noisy excitations and nonlinear vibration of Kirchhoff plate","authors":"Yongfeng Zhou , Jie Li","doi":"10.1016/j.strusafe.2025.102619","DOIUrl":"10.1016/j.strusafe.2025.102619","url":null,"abstract":"<div><div>The Generalized Density Evolution Equation (GDEE) describes the evolution of probability densities driven by physical processes. The numerical solution of the GDEE, implemented through a fully developed computational framework, is referred to as the Probability Density Evolution Method (PDEM). However, the absence of analytical solutions presents challenges for error calibration in numerical methods. In this study, analytical solutions of the GDEE are derived, focusing primarily on stochastic dynamic systems. The forced vibration of an Euler-Bernoulli beam subjected to random excitations is first analyzed, yielding analytical solutions for mid-span displacement response. For lower dimensional scenarios, two cases are examined: random harmonic loading and random step loading, both involving uncertainties in structural parameters. Results reveal that the corresponding displacement responses are non-Gaussian and non-stationary random processes. For higher dimensional scenarios, additional noise excitation is considered. By employing the Stochastic Harmonic Function (SHF) representation, noise excitation is effectively approximated as a superposition of finite random harmonic loads. Analytical derivations demonstrate that the SHF representation gradually converges toward the actual noise as the expansion terms increase. Furthermore, to illustrate the versatility of the developed analytical method, a nonlinear free vibration analysis of a Kirchhoff plate without external excitations is presented, showcasing its applicability to broader structural dynamic problems. These analytical solutions provide valuable benchmarks for further in-depth research into the PDEM, especially for the calibration of numerical methods.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102619"},"PeriodicalIF":5.7,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144262721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-01DOI: 10.1016/j.strusafe.2025.102622
Siyi Jia , Mitsuyoshi Akiyama , Dan M. Frangopol , Zhejun Xu
Uncertainties associated with the non-uniform spatial distribution of steel weight loss (SWL) should be considered appropriately when estimating the load-bearing capacity loss of corroded reinforced concrete (RC) structures. Addressing these uncertainties necessitates a probabilistic analysis using high-dimensional SWL data, which can lead to inaccurate condition assessments for corroded RC structures. This paper presents a dimension-reduction approach for SWL distribution based on the K-means singular vector decomposition (K-SVD) algorithm, which enforces a sparse representation of SWL distributions using a combination of non-standard distribution features learned from experimental SWL data. The K-SVD algorithm involves an iterative two-stage supervised learning process. In the dictionary learning stage, K-SVD identifies non-standard distribution features tailored to the localized characteristics of SWL data, based on which the orthogonal matching pursuit (OMP) algorithm is employed in the coding learning stage to derive a sparse representation of SWL distributions. The efficacy of K-SVD is evaluated using 83 experimental samples of SWL distributions. The results reveal that the K-SVD algorithm can derive a sparse representation of SWL distribution while preserving the distribution details of SWL. With just 15 learned non-standard distribution features, K-SVD achieves the same accuracy in reconstructing 168-dimensional SWL distribution data as the baseline Karhunen-Loève OMP (KL-OMP) method, which uses 75 standard features. Subsequently, the sparse representation is used to compute the flexural failure probability of corroded RC beams, for which a Kriging surrogate model is constructed. The results show that the sparse representation significantly enhances the accuracy of the Kriging surrogate model and improves the computational stability of the flexural failure probabilities, which is crucial for accurately assessing the condition of corroded RC structures.
在对钢筋混凝土腐蚀结构的承载能力损失进行评估时,应适当考虑与钢筋重量损失(SWL)空间分布不均匀相关的不确定性。为了解决这些不确定性,需要使用高维SWL数据进行概率分析,这可能导致腐蚀RC结构的状态评估不准确。本文提出了一种基于k均值奇异向量分解(K-SVD)算法的SWL分布降维方法,该方法利用从实验SWL数据中学习到的非标准分布特征的组合来实现SWL分布的稀疏表示。K-SVD算法涉及一个迭代的两阶段监督学习过程。在字典学习阶段,K-SVD识别适合SWL数据局部特征的非标准分布特征,在此基础上,编码学习阶段采用正交匹配追踪(OMP)算法推导SWL分布的稀疏表示。使用83个SWL分布的实验样本对K-SVD的有效性进行了评估。结果表明,K-SVD算法在保留SWL分布细节的同时,可以得到SWL分布的稀疏表示。K-SVD只需要学习到15个非标准分布特征,就可以在重建168维SWL分布数据时达到与使用75个标准特征的基线karhunen - lo -OMP (KL-OMP)方法相同的精度。随后,利用稀疏表示计算腐蚀钢筋混凝土梁的弯曲破坏概率,并建立了Kriging代理模型。结果表明,稀疏表示显著提高了Kriging代理模型的精度,提高了抗弯破坏概率的计算稳定性,这对于准确评估腐蚀RC结构的状态至关重要。
{"title":"Failure probability estimate of corroded reinforced concrete structures based on sparse representation of steel weight loss distributions","authors":"Siyi Jia , Mitsuyoshi Akiyama , Dan M. Frangopol , Zhejun Xu","doi":"10.1016/j.strusafe.2025.102622","DOIUrl":"10.1016/j.strusafe.2025.102622","url":null,"abstract":"<div><div>Uncertainties associated with the non-uniform spatial distribution of steel weight loss (SWL) should be considered appropriately when estimating the load-bearing capacity loss of corroded reinforced concrete (RC) structures. Addressing these uncertainties necessitates a probabilistic analysis using high-dimensional SWL data, which can lead to inaccurate condition assessments for corroded RC structures. This paper presents a dimension-reduction approach for SWL distribution based on the K-means singular vector decomposition (K-SVD) algorithm, which enforces a sparse representation of SWL distributions using a combination of non-standard distribution features learned from experimental SWL data. The K-SVD algorithm involves an iterative two-stage supervised learning process. In the dictionary learning stage, K-SVD identifies non-standard distribution features tailored to the localized characteristics of SWL data, based on which the orthogonal matching pursuit (OMP) algorithm is employed in the coding learning stage to derive a sparse representation of SWL distributions. The efficacy of K-SVD is evaluated using 83 experimental samples of SWL distributions. The results reveal that the K-SVD algorithm can derive a sparse representation of SWL distribution while preserving the distribution details of SWL. With just 15 learned non-standard distribution features, K-SVD achieves the same accuracy in reconstructing 168-dimensional SWL distribution data as the baseline Karhunen-Loève OMP (KL-OMP) method, which uses 75 standard features. Subsequently, the sparse representation is used to compute the flexural failure probability of corroded RC beams, for which a Kriging surrogate model is constructed. The results show that the sparse representation significantly enhances the accuracy of the Kriging surrogate model and improves the computational stability of the flexural failure probabilities, which is crucial for accurately assessing the condition of corroded RC structures.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"117 ","pages":"Article 102622"},"PeriodicalIF":5.7,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-05-28DOI: 10.1016/j.strusafe.2025.102620
Xiubing Huang, Naiyu Wang
Tropical cyclones (TCs) pose significant risks to power transmission systems, causing extensive damage, widespread outages and severe socio-economic impacts. While reliable risk forecasting of these systems during TCs hinges on accurate wind predictions, operational numerical weather prediction (NWP) models struggle to deliver unbiased, high-resolution probabilistic wind-field forecasts necessary for infrastructure risk projections. This study introduces the Probabilistic Micro-Scale Wind-Field model (ProbMicro-WF) designed to enhance real-time hazard modeling for power system risk forecasts during TC evolution. This model improves NWP wind forecast by achieving the following: 1) probabilistic calibration and bias correction for NWP wind forecasts, leveraging historical TC observational data to improve prediction accuracy at high wind speeds; 2) terrain-modified statistical downscaling that translates mesoscale forecasts to micro-scale wind fields, capturing localized wind dynamics critical for tower- and transmission line-specific risk evaluation; and 3) a spatiotemporal stochastic model that preserves wind-field correlation structures, mitigating systemic underestimation of risk variance across geographically dispersed infrastructure during TC evolution. Finally, the ProbMicro-WF model is applied to the power transmission system in Zhejiang Province, China (105,500 km2) during Super Typhoon Lekima in 2019, highlighting its capability to simulate spatially coherent, high-resolution wind fields, enabling robust pre-event mitigation and real-time grid management in TC-prone regions.
{"title":"Modeling probabilistic micro-scale wind field for risk forecasts of power transmission systems during tropical cyclones","authors":"Xiubing Huang, Naiyu Wang","doi":"10.1016/j.strusafe.2025.102620","DOIUrl":"10.1016/j.strusafe.2025.102620","url":null,"abstract":"<div><div>Tropical cyclones (TCs) pose significant risks to power transmission systems, causing extensive damage, widespread outages and severe socio-economic impacts. While reliable risk forecasting of these systems during TCs hinges on accurate wind predictions, operational numerical weather prediction (NWP) models struggle to deliver unbiased, high-resolution probabilistic wind-field forecasts necessary for infrastructure risk projections. This study introduces the Probabilistic Micro-Scale Wind-Field model (ProbMicro-WF) designed to enhance real-time hazard modeling for power system risk forecasts during TC evolution. This model improves NWP wind forecast by achieving the following: 1) probabilistic calibration and bias correction for NWP wind forecasts, leveraging historical TC observational data to improve prediction accuracy at high wind speeds; 2) terrain-modified statistical downscaling that translates mesoscale forecasts to micro-scale wind fields, capturing localized wind dynamics critical for tower- and transmission line-specific risk evaluation; and 3) a spatiotemporal stochastic model that preserves wind-field correlation structures, mitigating systemic underestimation of risk variance across geographically dispersed infrastructure during TC evolution. Finally, the ProbMicro-WF model is applied to the power transmission system in Zhejiang Province, China (105,500 km<sup>2</sup>) during Super Typhoon Lekima in 2019, highlighting its capability to simulate spatially coherent, high-resolution wind fields, enabling robust pre-event mitigation and real-time grid management in TC-prone regions.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"116 ","pages":"Article 102620"},"PeriodicalIF":5.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144195770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-05-22DOI: 10.1016/j.strusafe.2025.102617
Konstantinos N. Anyfantis
The probability of failure serves as a key metric in a structural reliability analysis, but its accurate estimation remains computationally demanding, particularly for low-probability failure events. The Enhanced Monte Carlo (EMC) method has been developed in order to alleviate from inefficiencies due to the high number of required simulations. Recent advancements integrate Machine Learning techniques with the EMC to further accelerate the estimation process. However, a critical limitation of EMC lies in its fitted confidence interval (CI) estimation, which tends to overestimate uncertainty, leading to unnecessary computational overhead. This study proposes a new prescriptive CI formulation constructed from the method’s hyperparameters, offering a more accurate and computationally efficient approach to uncertainty quantification. The method is general and can be applied to any reliability problem that can be described by a probability curve. The effectiveness of the proposed method is demonstrated through a benchmark reliability problem and a real-world marine structural application. The results indicate significant improvements in efficiency without compromising accuracy, paving the way for enhanced structural reliability assessments.
{"title":"Optimizing uncertainty estimation in Enhanced Monte Carlo methods","authors":"Konstantinos N. Anyfantis","doi":"10.1016/j.strusafe.2025.102617","DOIUrl":"10.1016/j.strusafe.2025.102617","url":null,"abstract":"<div><div>The probability of failure serves as a key metric in a structural reliability analysis, but its accurate estimation remains computationally demanding, particularly for low-probability failure events. The Enhanced Monte Carlo (EMC) method has been developed in order to alleviate from inefficiencies due to the high number of required simulations. Recent advancements integrate Machine Learning techniques with the EMC to further accelerate the estimation process. However, a critical limitation of EMC lies in its fitted confidence interval (CI) estimation, which tends to overestimate uncertainty, leading to unnecessary computational overhead. This study proposes a new prescriptive CI formulation constructed from the method’s hyperparameters, offering a more accurate and computationally efficient approach to uncertainty quantification. The method is general and can be applied to any reliability problem that can be described by a probability curve. The effectiveness of the proposed method is demonstrated through a benchmark reliability problem and a real-world marine structural application. The results indicate significant improvements in efficiency without compromising accuracy, paving the way for enhanced structural reliability assessments.</div></div>","PeriodicalId":21978,"journal":{"name":"Structural Safety","volume":"116 ","pages":"Article 102617"},"PeriodicalIF":5.7,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144134106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}