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Symbolic deep learning-based method for modeling complex rate-independent hysteresis
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-03-01 DOI: 10.1016/j.compstruc.2025.107702
Tianyu Wang , Mohammad Noori , Gang Wang , Zhishen Wu
{"title":"Symbolic deep learning-based method for modeling complex rate-independent hysteresis","authors":"Tianyu Wang ,&nbsp;Mohammad Noori ,&nbsp;Gang Wang ,&nbsp;Zhishen Wu","doi":"10.1016/j.compstruc.2025.107702","DOIUrl":"10.1016/j.compstruc.2025.107702","url":null,"abstract":"<div><div>Many hysteresis models have been proposed and applied in engineering practices to describe and predict complex hysteretic behaviors observed in various engineering systems. However, selection of suitable hysteresis model usually costs extra time. In this paper, a symbolic deep learning (SDL) based method is proposed to fully describe the complex hysteresis behavior of structural systems and generate hysteretic model that fit experimental or simulated data. An explicit expression for nonlinear analysis can be obtained through symbolic deep learning without extra steps of model selection or parameter identification. The proposed method can be utilized in the modeling of complex hysteresis behavior including asymmetry, pinching, and degradation. Data from three classical hysteresis models including Bouc-Wen, generalized Bouc-Wen and Bouc-Wen-Baber-Noori, as well as the experimental data from pseudo-static testing are utilized to validate the performance of the proposed SDL model. The error accumulation and the influence of input noise is discussed.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107702"},"PeriodicalIF":4.4,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse finite element methodology for high-resolution mode shape reconstruction of plates and shells under random excitation
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-28 DOI: 10.1016/j.compstruc.2025.107721
M.Yavuz Belur , M.H. Bilgin , Spilios D. Fassois , Adnan Kefal
{"title":"Inverse finite element methodology for high-resolution mode shape reconstruction of plates and shells under random excitation","authors":"M.Yavuz Belur ,&nbsp;M.H. Bilgin ,&nbsp;Spilios D. Fassois ,&nbsp;Adnan Kefal","doi":"10.1016/j.compstruc.2025.107721","DOIUrl":"10.1016/j.compstruc.2025.107721","url":null,"abstract":"<div><div>This study introduces a novel implementation of the inverse finite element method (iFEM) for full-field mode shape reconstruction of plate and shell structures under random vibration. The proposed methodology, termed iFEM-MoRe (Mode Reconstruction), seamlessly integrates classical iFEM with Fourier transformation using Welch’s estimation method. By processing dynamic strain measurements, iFEM-MoRe extracts the frequency spectrum of displacements across the structure, enabling accurate identification of natural frequencies and high-fidelity reconstruction of full-field mode shapes. Designed for both 2D and 3D complex structural topologies, iFEM-MoRe operates without prior knowledge of the excitation, making it a powerful and adaptable tool for structural health monitoring in real-world operational environments. The high accuracy of iFEM-MoRe is validated through experimental and numerical studies. In the experimental analysis, shape reconstruction and mode identification are performed on a wing-shaped composite plate using discrete strain data from surface-mounted sensors. Numerically, the dynamic response of the same wing under random vibration is analyzed, demonstrating the method’s reliability. A rectangular plate subjected to random vibration is also investigated, where iFEM-MoRe results show excellent agreement with finite element modal analysis. Finally, the framework’s capability for a complex geometry is validated through the analysis of a curved plate under random vibration, with results compared to forward modal solutions. These comprehensive studies confirm that iFEM-MoRe delivers accurate mode identification and reconstruction, establishing its robustness and versatility for full-field dynamic analysis of challenging structural cases under random vibration.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107721"},"PeriodicalIF":4.4,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143512727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Data-driven method for real-time reconstruction of antenna element displacement
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-28 DOI: 10.1016/j.compstruc.2025.107701
Jin Kang , Peng Gaoliang , Zhang Wei , Li Zhixiong , Wang Jinghan , Yuan Hao
{"title":"Data-driven method for real-time reconstruction of antenna element displacement","authors":"Jin Kang ,&nbsp;Peng Gaoliang ,&nbsp;Zhang Wei ,&nbsp;Li Zhixiong ,&nbsp;Wang Jinghan ,&nbsp;Yuan Hao","doi":"10.1016/j.compstruc.2025.107701","DOIUrl":"10.1016/j.compstruc.2025.107701","url":null,"abstract":"<div><div>Real-time reconstruction of antenna element displacements using limited strain data is essential for mitigating the degradation of phased array radar systems’ electrical performance caused by antenna deformations. This study presents a data-driven framework for efficiently and accurately reconstructing antenna element displacements. The proposed approach combines finite element simulations with a multilayer perceptron (MLP) network to predict the displacements of all target points based on strain values from a limited number of monitoring points. The MLP network’s architecture is optimized using a loss function designed under the assumptions of Gaussian distribution and homoscedastic uncertainty. Displacement reconstruction for several target locations on a cantilever plate and a four-sided hinged support plate is demonstrated, utilizing a database generated through finite element analysis (FEA). Simulated discrete strain data derived from FEA are employed as input to the MLP-based shape sensing model (SS-MLP), effectively replicating real-world strain measurements. A comparative analysis between the SS-MLP and FEA models reveals that this method achieves precise and simultaneous displacement reconstruction for multiple points, even with sparsely distributed monitoring locations. These results suggest that the proposed approach provides a promising alternative for real-time antenna element displacement monitoring.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107701"},"PeriodicalIF":4.4,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlocal stress and J-integral approaches for cohesive crack growth within enhanced DodeQuad virtual element
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-28 DOI: 10.1016/j.compstruc.2025.107691
Elisabetta Monaldo , Sonia Marfia , Elio Sacco
{"title":"Nonlocal stress and J-integral approaches for cohesive crack growth within enhanced DodeQuad virtual element","authors":"Elisabetta Monaldo ,&nbsp;Sonia Marfia ,&nbsp;Elio Sacco","doi":"10.1016/j.compstruc.2025.107691","DOIUrl":"10.1016/j.compstruc.2025.107691","url":null,"abstract":"<div><div>The aim of this paper is to present a numerical procedure for reproducing the crack growth in two-dimensional (2D) cohesive solids. Two approaches are proposed to determine the direction of crack propagation. One approach is based on the evaluation of the nonlocal stress around the tip of the fracture, while the other on the computation of the J-integral. Once the direction of crack propagation has been determined, a cohesive interface is introduced. The crack evolution is performed by developing a new 12-node quadrilateral enhanced virtual element (VE), denoted as DodeQuad, presenting three different formulations of the element. The new VE is characterized by features that make it particularly suitable for reproducing the crack growth, including its stabilization-free nature, its high degree of accuracy in determining the strain and stress fields, its suitability for the J-integral evaluation, and its ability to define a numerical procedure that does not require the variation of the number of nodes and degrees of freedom during the analysis. This leads to a minimal remeshing requirement for crack propagation. To illustrate the performance of the developed numerical procedure, some numerical applications are performed, including comparisons with available experimental evidence and with other numerical techniques.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107691"},"PeriodicalIF":4.4,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143512725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Buckling prediction and structural optimization of sandwich plates with negative Poisson’s ratio core
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-28 DOI: 10.1016/j.compstruc.2025.107715
L. Han , Y.S. Li , E. Pan , J.G. Sun
{"title":"Buckling prediction and structural optimization of sandwich plates with negative Poisson’s ratio core","authors":"L. Han ,&nbsp;Y.S. Li ,&nbsp;E. Pan ,&nbsp;J.G. Sun","doi":"10.1016/j.compstruc.2025.107715","DOIUrl":"10.1016/j.compstruc.2025.107715","url":null,"abstract":"<div><div>Negative Poisson’s ratio (NPR) materials are attractive for their unique mechanical properties. Especially lightweight structures made of NPR materials have potential application in the aviation industry. The purpose of this study is to propose a lightweight structure with NPR materials and optimize it with its performance and mass as the objectives. In this study, buckling prediction and structural optimization of a sandwich plate with an NPR core are investigated by using artificial neural networks (ANN) and genetic algorithms (GA). A three-dimensional NPR structure for the core of the sandwich plate is presented, and the equivalent strain energy method is used to obtain the effective material properties of the NPR core. The governing equation and the corresponding analytical solution for the buckling of the sandwich plate are derived. In the numerical examples, the effect of the design parameters in sandwich plates with an NPR core on the critical buckling load is analyzed using the ANN. The ANN and the GA are also employed to predict the optimized maximum critical buckling load and minimum cell mass of the NPR sandwich plate. The Pareto-frontier curves for the multi-objective optimization under different core-to-thickness ratios are further obtained, with optimal solutions under different design conditions.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107715"},"PeriodicalIF":4.4,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143512726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A computational method to find the optimal driving-path for stable state transformation of multistable tensegrity
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-27 DOI: 10.1016/j.compstruc.2025.107695
Zhiyin Xu , Jinyu Lu , Jiarong Wu , Jilei Liu , Xun Gu , Na Li
{"title":"A computational method to find the optimal driving-path for stable state transformation of multistable tensegrity","authors":"Zhiyin Xu ,&nbsp;Jinyu Lu ,&nbsp;Jiarong Wu ,&nbsp;Jilei Liu ,&nbsp;Xun Gu ,&nbsp;Na Li","doi":"10.1016/j.compstruc.2025.107695","DOIUrl":"10.1016/j.compstruc.2025.107695","url":null,"abstract":"<div><div>This paper introduces a computational approach for identifying the optimal driving-path for stable state transformations (SST) of multistable tensegrity structures. In order to capture the morphological changes of the tensegrity structure when the driving-nodes are actuated along arbitrary driving-path, a tracking method is firstly introduced. Then, the concept of segmenting-nodes is introduced to parameterize the driving-path. With the coordinates of segmenting-nodes on driving-path as optimization variables and the minimum energy threshold in the process of SST as objective function, a nonlinear optimization model is established and solved by particle swarm optimization algorithm. The feasibility of the proposed method is verified by three multistable tensegrity examples with different scales. In addition, the proposed method is compared with two existing methods, and the results further prove that the proposed method has the advantages of simple driving scheme and low energy threshold. The research provides instructive significance for the practical application of multistable tensegrity.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"310 ","pages":"Article 107695"},"PeriodicalIF":4.4,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multi-layered shell finite element with interlayer slips
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-27 DOI: 10.1016/j.compstruc.2025.107662
Seunghwan Park, Juneho Lee, Phill-Seung Lee
{"title":"Multi-layered shell finite element with interlayer slips","authors":"Seunghwan Park,&nbsp;Juneho Lee,&nbsp;Phill-Seung Lee","doi":"10.1016/j.compstruc.2025.107662","DOIUrl":"10.1016/j.compstruc.2025.107662","url":null,"abstract":"<div><div>In this study, we develop a multi-layered shell finite element model capable of incorporating interlayer slips for both linear and nonlinear analyses. We derive the total Lagrangian formulation of the shell element to allow for large displacements and large rotations. The shell element effectively represents in-plane interlayer slips within the shell kinematics framework, allowing straightforward modeling irrespective of the number of layers or interlayers involved. Compared to conventional 3D solid finite element models, this multi-layered shell element model requires fewer degrees of freedom (DOFs), resulting in significantly reduced computational costs. The performance of the proposed shell element is demonstrated through various numerical problems.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"310 ","pages":"Article 107662"},"PeriodicalIF":4.4,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A review on the applications of artificial neural network techniques for accelerating finite element analysis in the civil engineering domain
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-26 DOI: 10.1016/j.compstruc.2025.107698
S.C. Jayasinghe , M. Mahmoodian , A. Alavi , A. Sidiq , F. Shahrivar , Z. Sun , J. Thangarajah , S. Setunge
{"title":"A review on the applications of artificial neural network techniques for accelerating finite element analysis in the civil engineering domain","authors":"S.C. Jayasinghe ,&nbsp;M. Mahmoodian ,&nbsp;A. Alavi ,&nbsp;A. Sidiq ,&nbsp;F. Shahrivar ,&nbsp;Z. Sun ,&nbsp;J. Thangarajah ,&nbsp;S. Setunge","doi":"10.1016/j.compstruc.2025.107698","DOIUrl":"10.1016/j.compstruc.2025.107698","url":null,"abstract":"<div><div>Finite element (FE) modelling is widely recognised as the most powerful and foremost computational technique for analysing complex structural systems due to its highly efficient modelling and simulation capabilities. Despite the strengths, its computational demands restrict its ability of performing instantaneous computations and present substantial challenges for achieving real-time analyses results. However, the integration of artificial neural networks (ANNs) with FE modelling offers a simplified calculation process whilst accelerating the computational time substantially. In this light, current study conducts a worth and timely investigation on application of ANNs as a surrogate for real-time FE modelling in the civil engineering domain. ANNs can be integrated into the computational process of FE modelling in numerous ways and selecting the type of the neural network architecture for surrogate modelling and integrating it to represent the FE model are crucial. Even though that depends on the complexity of the model that is to be analysed, the graph neural networks (GNNs) showed an excellent performance in both analysing and visualising mesh-based FE modelling as it incorporates the underlying relationship among different elements in a FE mesh. ANNs have the potential to significantly accelerate forward calculation process and also, provide a more efficient approach to inverse analysis. However, such applications are seldom in the existing body of knowledge. It has been identified that predicting stress or displacements was the most common primary goal of most studies with a particular emphasis on addressing static structural behaviour.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"310 ","pages":"Article 107698"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rare event probability evaluation for static and dynamic structures based on direct probability integral method
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-26 DOI: 10.1016/j.compstruc.2025.107704
Hui Li , Pengfei Gao , Xi Chen , Hongchao Guo , Dixiong Yang
{"title":"Rare event probability evaluation for static and dynamic structures based on direct probability integral method","authors":"Hui Li ,&nbsp;Pengfei Gao ,&nbsp;Xi Chen ,&nbsp;Hongchao Guo ,&nbsp;Dixiong Yang","doi":"10.1016/j.compstruc.2025.107704","DOIUrl":"10.1016/j.compstruc.2025.107704","url":null,"abstract":"<div><div>Efficient and accurate evaluation of the rare event probability is a crucial yet challenging task for the design of static and dynamic structures with uncertainties. This study establishes a novel level-wise representative points increment strategy for direct probability integral method (DPIM), which calculates accurately rare event probabilities (less than 10<sup>−3</sup>). Firstly, the two advantages of partitioning the probability space in DPIM, namely, enhanced accuracy in reliability estimation and flexibility in selecting representative points, are elaborated. Secondly, it is clarified that the error in reliability assessment using DPIM is caused by the imprecise simulation of important subdomains. The idea of increasing the number of important points is advanced to improve the precision of reliability assessment. Subsequently, inspired by subset simulation, the level-wise representative points increment strategy is proposed. This strategy effectively adds representative points within important subdomains by selecting new points from the low-level points. Embedding the points increment strategy into DPIM forms a unified and efficient method for rare event estimations of static and dynamic structures. Finally, the accuracy and efficiency of the proposed method are demonstrated in three typical examples by comparing with Monte Carlo simulation (MCS), Quasi-MCS and subset simulation. The results indicate that the proposed strategy significantly improves the accuracy of reliability assessment employing DPIM, and fulfils a versatile and precise analysis of rare event probabilities in both static and dynamic systems.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"310 ","pages":"Article 107704"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143509134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiscale lattice discrete particle modeling of steel-concrete composite column bases under pull-out and cyclic loading conditions
IF 4.4 2区 工程技术
Computers & Structures Pub Date : 2025-02-26 DOI: 10.1016/j.compstruc.2025.107705
Yingbo Zhu , Ahmad Hassan , Amit Kanvinde , Alessandro Fascetti
{"title":"Multiscale lattice discrete particle modeling of steel-concrete composite column bases under pull-out and cyclic loading conditions","authors":"Yingbo Zhu ,&nbsp;Ahmad Hassan ,&nbsp;Amit Kanvinde ,&nbsp;Alessandro Fascetti","doi":"10.1016/j.compstruc.2025.107705","DOIUrl":"10.1016/j.compstruc.2025.107705","url":null,"abstract":"<div><div>Steel-Concrete Composite (SCC) connections in steel buildings are inherently complex in terms of internal stress distributions and failure modes that are important to characterize for effective design and performance assessment. In this context, numerical results obtained from a multiscale lattice discrete particle model are presented to examine its efficacy in characterizing the response of SCC connections (specifically embedded column base connections in steel moment frames) subjected to earthquake-like cyclic loading. In the numerical model, mesostructural information on the concrete base is described at the level of the constituent materials, allowing to capture initiation and propagation of fracture resulting from cyclic loading. To address mesh sensitivity at the macroscopic level, an energy regularization approach, based on a generalization of the crack band theory, is proposed and validated. The proposed regularization technique mitigates mesh sensitivity in the simulations, while significantly reducing the overall computational cost. A multiscale validation of the model is presented by comparing the numerical results with experimental data obtained from independent cyclic tests on SCC connections, indicating reasonable accuracy across a range of test parameters. Limitations of the approach are discussed.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"310 ","pages":"Article 107705"},"PeriodicalIF":4.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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