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Residual Convolutional Attention Model With Transfer Learning for Detecting Multianomalous Features in Structural Vibration Data 利用迁移学习的残差卷积注意力模型检测结构振动数据中的多异常特征
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-10-14 DOI: 10.1155/2024/2451763
Tao Li, Zhongyu Zhang, Rui Hou, Kangkang Zheng, Dongwei Ren, Ruiqi Yuan, Xinyu Jia

In response to the data anomalies and frequent false alarms caused by harsh environments in long-term structural health monitoring (SHM), this study has reframed the detection of abnormal vibration data as a time series classification problem. This approach identifies multiple anomalous features, thereby reducing manual detection costs. The novel developed Convolutional Neural Network with Squeeze-and-Excitation and Multi-Head Self-Attention (CNN–SE–MHSA) employs a deep residual network structure with channel and spatial attention mechanisms, effectively handling the global long-term dependencies required for anomaly feature learning. It better understands and utilizes feature information across different levels and dimensions, enhancing classification accuracy in complex anomaly situations. Through t-SNE dimensionality reduction visualization and interpretability analysis, it is demonstrated that the model excels in identifying critical features. Furthermore, by generating simulated data with a variational autoencoder (VAE) and implementing transfer learning strategies based on these data, the issue of low recognition accuracy for complex anomaly data due to data imbalance can be effectively mitigated. In a 25-day long-term monitoring experiment of indoor tunnel lining structures, this method demonstrated an average accuracy rate exceeding 96% and a rapid detection capability within 16 min. The results indicate that this method achieves high accuracy in anomaly detection for long-term monitoring data, even when relying exclusively on time-domain data.

针对长期结构健康监测(SHM)中恶劣环境造成的数据异常和频繁误报问题,本研究将异常振动数据的检测重构为时间序列分类问题。这种方法可以识别多个异常特征,从而降低人工检测成本。新开发的具有挤压激励和多头自注意功能的卷积神经网络(CNN-SE-MHSA)采用了具有通道和空间注意机制的深度残差网络结构,可有效处理异常特征学习所需的全局长期依赖关系。它能更好地理解和利用不同层次和维度的特征信息,提高复杂异常情况下的分类准确性。通过 t-SNE 降维可视化和可解释性分析,证明该模型在识别关键特征方面表现出色。此外,通过使用变异自动编码器(VAE)生成模拟数据,并基于这些数据实施迁移学习策略,可以有效缓解因数据不平衡而导致的复杂异常数据识别准确率低的问题。在一项为期 25 天的室内隧道衬砌结构长期监测实验中,该方法的平均准确率超过 96%,并能在 16 分钟内实现快速检测。结果表明,即使完全依赖时域数据,该方法对长期监测数据的异常检测也能达到很高的准确率。
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引用次数: 0
Displacement Measurement and 3D Reconstruction of Segmental Retaining Wall Using Deep Convolutional Neural Networks and Binocular Stereovision 利用深度卷积神经网络和双目立体视觉进行分段式挡土墙的位移测量和三维重建
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-10-14 DOI: 10.1155/2024/9912238
Minh-Vuong Pham, Yun-Tae Kim, Yong-Soo Ha

Computer vision techniques were employed to monitor the displacement of retaining walls using artificial markers, traditional feature detection algorithms, and photogrammetry-based point cloud reconstruction. However, the use of artificial markers often increases both installation time and costs, whereas the performance of traditional feature matching is affected by uneven illumination, and photogrammetry techniques require multiple images for point cloud reconstruction. To overcome these limitations, a nontarget-based displacement monitoring method for segmental retaining walls (SRWs) using a combination of deep learning and stereovision was proposed. Binocular stereovision was employed to reconstruct the geometry and surface properties of the SRW in a digital three-dimensional (3D) model. Deep learning models were then used to extract natural features from SRW blocks, enabling displacement calculation without using artificial targets. The performance was evaluated by monitoring the behaviors of SRW experiments at both laboratory and field scales. The deep learning–based image segmentation models identified SRW block features in the experiment and real case datasets with an average F1 score from 0.910 to 0.965 under various environmental conditions. The reconstructed results of point cloud coordinates demonstrated high accuracy, ranging from 95.2% to 98.6%. Furthermore, the calculated displacement exhibited a high degree of agreement with the measured displacement. The accuracy of the calculated displacements for the laboratory and field experiments ranged from 89.5% to 99.1%. The proposed method can be used for automatic SRW displacement monitoring.

利用人工标记、传统特征检测算法和基于摄影测量的点云重建,计算机视觉技术被用于监测挡土墙的位移。然而,人工标记的使用往往会增加安装时间和成本,而传统特征匹配的性能会受到光照不均的影响,摄影测量技术则需要多幅图像才能进行点云重建。为了克服这些局限性,我们提出了一种基于非目标的分段式挡土墙(SRW)位移监测方法,该方法结合了深度学习和立体视觉技术。利用双目立体视觉在数字三维(3D)模型中重建 SRW 的几何形状和表面属性。然后利用深度学习模型从 SRW 块中提取自然特征,从而在不使用人工目标的情况下进行位移计算。通过监测实验室和现场规模的 SRW 实验行为,对其性能进行了评估。在各种环境条件下,基于深度学习的图像分割模型在实验和实际案例数据集中识别出了 SRW 块体特征,平均 F1 得分为 0.910 至 0.965。点云坐标的重建结果表明准确率很高,从 95.2% 到 98.6%。此外,计算的位移与测量的位移具有很高的一致性。实验室和现场实验中计算位移的精确度在 89.5% 到 99.1% 之间。建议的方法可用于 SRW 位移自动监测。
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引用次数: 0
Performance and Characteristics of Sprayed Flexible Sensor for Strain Monitoring of Steel Bridges 用于钢桥应变监测的喷涂柔性传感器的性能和特点
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-10-14 DOI: 10.1155/2024/2966457
Qing-Hua Zhang, Jun Chen, Qi-Bin Huang, Shao-Bing Shao, Chuang Cui

Monitoring stress and strain at the critical details of steel bridges is essential for ensuring structural integrity. This study introduces a three-layer flexible strain sensor produced through a spraying process, using flake-shaped silver-coated copper powder as the conductive filler and modified acrylic emulsion as the matrix material. The study investigated the impact of size parameters on sensor sensitivity, determining optimal dimensions of 20 mm in length, 2 mm in width, and an initial resistance value ranging from 1.0 Ω to 1.8 Ω. Analysis of the optimized sensor’s performance unveiled high sensitivity and linear response capabilities under low strain conditions with a gauge factor (GF) value of up to 25.6 and a linear correlation coefficient R2 ≥ 0.971 under 300 με. Notably, the sensor exhibits an extremely low strain detection limit of 0.005% and a broad response range spanning from 0.005% to 0.19% strain. It demonstrates swift response and recovery times of 500–800 ms, showcases directional strain response, exhibits good repeatability, and endures durability tests (withstanding 3000 cycles). Furthermore, a fitting formula is proposed to accurately depict the strain and relative resistance change relationship across a wide response range. The study and initial application of this sensor’s sensing characteristics and performance signify its potential for practical engineering applications.

监测钢结构桥梁关键部位的应力和应变对于确保结构的完整性至关重要。本研究介绍了一种通过喷涂工艺生产的三层柔性应变传感器,使用片状银涂层铜粉作为导电填料,改性丙烯酸乳液作为基体材料。研究调查了尺寸参数对传感器灵敏度的影响,确定了最佳尺寸为长 20 毫米、宽 2 毫米,初始电阻值范围为 1.0 Ω 至 1.8 Ω。对优化传感器性能的分析表明,该传感器在低应变条件下具有高灵敏度和线性响应能力,测量系数 (GF) 值高达 25.6,在 300 με 条件下线性相关系数 R2 ≥ 0.971。值得注意的是,该传感器的应变检测限极低,仅为 0.005%,响应范围广,从 0.005% 到 0.19% 不等。它的快速响应和恢复时间为 500-800 毫秒,显示出定向应变响应,具有良好的重复性,并能经受耐久性测试(可承受 3000 次循环)。此外,还提出了一个拟合公式,可在较宽的响应范围内准确描述应变和相对电阻变化的关系。对这种传感器传感特性和性能的研究和初步应用表明,它具有实际工程应用的潜力。
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引用次数: 0
Dynamic Behaviors of a Two-Cable Network With Two Negative Stiffness Dampers and a Cross-Tie 带有两个负刚度阻尼器和一个交叉拉杆的双缆网络的动态行为
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-10-10 DOI: 10.1155/2024/4254998
Mengyu Li, Yanwei Xu, Hui Gao, Zhipeng Cheng, Zhihao Wang

Due to their structural characteristics, stay cables are inherently susceptible to vibrations. Addressing this issue, the research explores the dynamics of a two-cable network system, emphasizing the impact of composite vibration control methods. A system consisting of two horizontal cables is presented, each fitted with negative stiffness dampers (NSDs) at their anchored ends and interconnected by a cross-tie. A complex eigenvalue equation, formulated based on displacement boundary conditions and the continuity of displacement and force, is validated through numerical simulations. The multimode damping effects of the dual NSDs and cross-tie on the two-cable network are explored through parameter analysis and optimization. The results demonstrate that reducing the stiffness of the cross-tie improves the fundamental modal damping ratio, whereas increasing its stiffness or positioning it close to the cable’s midpoint enhances the vibration frequency. The incorporation of NSDs into the hybrid system significantly increases the maximum damping ratio while lowering the optimal damping coefficient. This study presents a method for calculating the range of negative stiffness values, providing insights into the selection of installation positions and stiffness for the cross-tie, thereby facilitating the design of highly effective multimode vibration control solutions for stay cables.

由于其结构特点,留缆本身容易受到振动的影响。针对这一问题,本研究探讨了双缆网络系统的动力学,强调了复合振动控制方法的影响。该系统由两根水平缆绳组成,每根缆绳的锚固端都安装了负刚度阻尼器(NSD),并通过一根横拉杆相互连接。通过数值模拟验证了基于位移边界条件和位移与力连续性的复特征值方程。通过参数分析和优化,探讨了双 NSD 和横拉杆对双缆网络的多模阻尼效应。结果表明,降低横拉杆的刚度可提高基本模态阻尼比,而增加其刚度或将其置于靠近电缆中点的位置则可提高振动频率。将 NSD 纳入混合系统可显著提高最大阻尼比,同时降低最佳阻尼系数。本研究提出了一种计算负刚度值范围的方法,为选择横拉杆的安装位置和刚度提供了启示,从而有助于为留置电缆设计高效的多模振动控制解决方案。
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引用次数: 0
Damage Identification Using Nonlinear Manifold Learning Method under Changing Environments 在不断变化的环境中使用非线性表单学习法进行损伤识别
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-09-28 DOI: 10.1155/2024/2359214
Peng Guo, Dong-sheng Li, Jie-zhong Huang, Hou Qiao, Hong-nan Li

Damage identification is a key aspect of structural health monitoring (SHM). However, any measurement of the structural response can be impacted by environmental and operational variations (EOVs), which can affect the system and hinder damage detection. It is therefore important to distinguish between damage-induced changes in structural dynamic properties and changes caused by EOVs. To address this issue, this paper proposes a damage identification method based on nonlinear manifold learning, specifically Laplacian eigenmaps (LEs). The method eliminates the impact of EOVs on the damage index by treating them as embedded variables and does not require the direct measurement of environmental parameters. The Gaussian process regression (GPR) prediction model results in small residuals when the structure is healthy and significant increases when the structure is damaged, demonstrating the effectiveness of the method in removing environmental influences. The proposed method is demonstrated using computer-simulated data, where the environmental conditions have a nonlinear effect on the vibration features. The proposed LE-GPR algorithm is then applied to the Z24 and KW51 bridges and successfully identifies structural damage. The advantage of the proposed approach is its ability to eliminate the effects of ambient temperature and accurately identify structural damage.

损坏识别是结构健康监测(SHM)的一个关键方面。然而,对结构响应的任何测量都会受到环境和操作变化(EOVs)的影响,这些变化会影响系统并阻碍损伤检测。因此,必须区分结构动态特性中由损坏引起的变化和由 EOVs 引起的变化。针对这一问题,本文提出了一种基于非线性流形学习,特别是拉普拉卡特征图(LE)的损伤识别方法。该方法将 EOVs 视为嵌入变量,无需直接测量环境参数,从而消除了 EOVs 对损坏指数的影响。高斯过程回归(GPR)预测模型的结果是,当结构健康时,残差较小,而当结构受损时,残差显著增加,这证明了该方法在消除环境影响方面的有效性。在环境条件对振动特征有非线性影响的情况下,利用计算机模拟数据对所提出的方法进行了演示。然后将提议的 LE-GPR 算法应用于 Z24 和 KW51 桥梁,并成功识别了结构损伤。所提方法的优势在于能够消除环境温度的影响,准确识别结构损伤。
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引用次数: 0
Modal Property-Based Data Anomaly Detection Method for Autonomous Stay-Cable Monitoring System in Cable-Stayed Bridges 基于模态属性的数据异常检测方法用于斜拉桥中的自主留缆监测系统
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-09-27 DOI: 10.1155/2024/8565150
Seunghoo Jeong, Seung-Seop Jin, Sung-Han Sim

This study presents a novel framework for data anomaly detection in stay-cables, aimed at establishing an autonomous monitoring system in cable-stayed bridges. Based on the fact that peaks in the power spectra of cable accelerations appear periodically at constant intervals, we classified the anomalous data into two categories in terms of the data quality and behavioral aspects. The framework provides two thresholds derived from the modal property of stay-cables to identify each anomaly type. To validate the performance of the proposed method, we collected long-term monitoring data from stay-cables in a cable-stayed bridge currently in operation in South Korea. Then, the peak information was extracted by adopting an automatic peak-picking technique. We applied the proposed method to establish thresholds that determine the presence of anomalous data. This study validated that the proposed method can determine anomalous types when new data are used as input.

本研究提出了一种新型的留置电缆数据异常检测框架,旨在建立斜拉桥的自主监控系统。基于电缆加速度功率谱中的峰值以固定间隔周期性出现这一事实,我们从数据质量和行为方面将异常数据分为两类。该框架提供了两个阈值,这两个阈值源于留置电缆的模态属性,用于识别每种异常类型。为了验证所提方法的性能,我们收集了韩国一座正在运营的斜拉桥的留索长期监测数据。然后,采用自动选峰技术提取峰值信息。我们应用所提出的方法建立了阈值,以确定是否存在异常数据。这项研究验证了所提出的方法可以在使用新数据作为输入时确定异常类型。
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引用次数: 0
Input Energy Reduction-Oriented Control and Analytical Design of Inerter-Enabled Isolators for Large-Span Structures 以减少输入能量为导向的大跨度结构感应器隔离器控制和分析设计
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-09-25 DOI: 10.1155/2024/7104844
Jianfei Kang, Zhipeng Zhao, Yixian Li, Liyu Xie, Songtao Xue

Seismic isolation technologies for large-span structures have rapidly developed alongside the popularization of the seismic resilience concept. To produce a high-efficiency isolation technology with lower energy dissipation demands, this paper proposes a novel inerter-enabled isolator (IeI) and a tailored input energy reduction-oriented design method. The inerter-based damper within the IeI is developed by combining the dashpot, tuning spring, and two inerters to facilitate the optimization of inerter distribution. Assuming the large-span structure remains linear, the overall seismic input energy of the large-span structure with IeIs and its allocation in the superstructure and additional damping are quantified using stochastic energy analysis. The advantages of the IeI over the conventional linear viscous damper (LVD) isolator are elucidated through dimensionless parametric analysis. Based on the results of parametric analysis, an input energy reduction-oriented design method is proposed for the IeI, along with an easy-to-follow diagram that helps with preliminary design in practical applications. The effectiveness of the IeI and the proposed design method is validated through a design case study of a benchmark large-span structure. The results demonstrate that the IeI reduces the seismic response of large-span structures by simultaneously employing the input energy reduction effect of grounded inerters with the damping-enhancing effect of inerter-based dampers. The proposed design method effectively balances the performance of controlling the large-span structure and the isolator displacement. Under consistent control performance and isolator displacement constraints, the IeI requires much less damping coefficient and energy dissipation capacity than the conventional LVD isolator. Moreover, leveraging the damping enhancement and input energy reduction effects, the IeI achieves comparable control performance to the conventional LVD isolator, even under stricter isolator displacement constraints.

随着抗震概念的普及,大跨度结构的隔震技术也得到了快速发展。为了开发出一种能耗要求更低的高效隔震技术,本文提出了一种新颖的电抗器隔震器(IeI)和一种以减少输入能量为导向的定制设计方法。IeI 中基于插入式阻尼器的阻尼器是通过将仪表盘、调谐弹簧和两个插入式阻尼器结合在一起来开发的,以促进插入式阻尼器分布的优化。假定大跨度结构保持线性,使用随机能量分析量化了带有 IeI 的大跨度结构的整体地震输入能量及其在上部结构和附加阻尼中的分配。通过无量纲参数分析,阐明了 IeI 相对于传统线性粘性阻尼器 (LVD) 隔震器的优势。根据参数分析的结果,为 IeI 提出了一种以减少输入能量为导向的设计方法,并提供了一个简单易懂的示意图,有助于在实际应用中进行初步设计。通过对一个基准大跨度结构的设计案例研究,验证了 IeI 和所提出的设计方法的有效性。研究结果表明,IeI 可同时利用接地式减震器的输入能量降低效应和基于减震器的阻尼增强效应,从而降低大跨度结构的地震响应。所提出的设计方法有效地平衡了大跨度结构控制性能和隔震器位移。在控制性能和隔振器位移限制一致的情况下,IeI 所需的阻尼系数和耗能能力远低于传统的 LVD 隔振器。此外,利用阻尼增强和输入能量减少效应,即使在更严格的隔振器位移约束条件下,IeI 也能实现与传统 LVD 隔振器相当的控制性能。
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引用次数: 0
When Transfer Learning Meets Dictionary Learning: A New Hybrid Method for Fast and Automatic Detection of Cracks on Concrete Surfaces 当迁移学习遇到字典学习:快速自动检测混凝土表面裂缝的新型混合方法
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-09-23 DOI: 10.1155/2024/3185640
Si-Yi Chen, You-Wu Wang, Yi-Qing Ni, Yang Zhang

Cracks in civil structures are important signs of structural degradation and may indicate the inception of catastrophic failure. However, most of studies that have employed deep learning models for automatic crack detection are limited to high computational demand and require a large amount of labeled data. Long training time is not friendly to model update, and large amount of training data is usually unavailable in real applications. To bridge this gap, the innovation of this study lies in developing a hybrid method that comprises transfer learning (TL) and low-rank dictionary learning (LRDL) for fast crack detection on concrete surfaces. Benefiting from the availability of preextracted features in TL and a limited number of parameters in LRDL, the training time can be significantly minimized without GPU acceleration. Experimental results showed that the time for training a dictionary only takes 25.33 s. Moreover, this new hybrid method reduces the demand for labeled data during training. It achieved an accuracy of 99.68% with only 20% labeled data. Three large-scale images captured under varying conditions (e.g., uneven lighting conditions and very thin cracks) were further used to assess the crack detection performance. These advantages help to implement the proposed TL-LRDL method on resource-limited computers, such as battery-powered UAVs, UGVs, and scarce processing capability of AR headsets.

民用结构中的裂缝是结构退化的重要标志,可能预示着灾难性故障的开始。然而,大多数采用深度学习模型进行裂缝自动检测的研究都受限于较高的计算要求,并且需要大量的标记数据。训练时间长不利于模型更新,而且在实际应用中通常无法获得大量训练数据。为了弥补这一不足,本研究的创新之处在于开发了一种混合方法,该方法由迁移学习(TL)和低秩字典学习(LRDL)组成,用于快速检测混凝土表面的裂缝。利用 TL 中预先提取的特征和 LRDL 中数量有限的参数,无需 GPU 加速即可显著缩短训练时间。实验结果表明,词典的训练时间仅需 25.33 秒。此外,这种新的混合方法还减少了训练过程中对标注数据的需求。它只用了 20% 的标注数据就达到了 99.68% 的准确率。在不同条件下(如不均匀的照明条件和非常薄的裂缝)拍摄的三张大比例图像被进一步用于评估裂缝检测性能。这些优势有助于在资源有限的计算机上实现所提出的 TL-LRDL 方法,如电池供电的无人机、无人潜航器和处理能力稀缺的 AR 头显。
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引用次数: 0
A Vibration-Based Quasi-Real-Time Cable Force Identification Method for Cable Replacement Monitoring 用于电缆更换监测的基于振动的准实时电缆力识别方法
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-09-23 DOI: 10.1155/2024/2394178
Beiyang Zhang, Yixiao Fu, Hua Liu, Yanjie Zhu, Wen Xiong, Runping Ma

Tension force is a crucial indicator in reflecting the stressing state of old cables during the cable replacement process. Even though the vibration-based method is popular in the cable force identification due to its simple calculation process and low cost, the frequency is hard to be recognized with both high time and frequency resolutions attributed to the Heisenberg uncertainty principle, which hinders its application in identifying time-varying cable force. In this paper, a novel quasi-real-time cable force identification method is presented based on a quasi-ideal time-frequency analysis method called multi-synchrosqueezing transform (MSST), by which the cable frequencies can be identified with appreciable time-frequency resolution. To achieve the identification in a real-time manner, an Automatic Frequency Order Identification (AFOI) algorithm is developed to recognize the frequency order automatically depending on the MSST result, in which the interference of fake modes and omitted modes to the identification of the actual frequency order is eliminated to a large extent. The performance of the proposed AFOI algorithm and the quasi-real-time cable force identification method is evaluated on a practical cable replacement engineering case. Results show that the correct orders of the multiple frequencies received from MSST can be identified along the time domain, which demonstrates the effectiveness of the proposed method. The variation of the tension force of not only the replaced cable but also its neighbor cables is estimated with desired time-frequency resolution, which promotes the safety state assessment of a cable in a real-time manner during the replacement process.

在电缆更换过程中,拉力是反映旧电缆受力状态的重要指标。尽管基于振动的方法因其计算过程简单、成本低廉而在拉索力识别中广受欢迎,但由于海森堡不确定性原理,频率很难在高时间分辨率和高频率分辨率下识别,这阻碍了其在识别时变拉索力中的应用。本文基于一种名为多同步阙值变换(MSST)的准理想时频分析方法,提出了一种新颖的准实时电缆力识别方法,通过该方法可以以可观的时频分辨率识别电缆频率。为实现实时识别,开发了一种自动频序识别(AFOI)算法,根据 MSST 结果自动识别频序,在很大程度上消除了假模和遗漏模对实际频序识别的干扰。在一个实际的电缆更换工程案例中,对所提出的 AFOI 算法和准实时电缆力识别方法的性能进行了评估。结果表明,从 MSST 接收到的多个频率的正确阶次可以沿时域识别,这证明了所提方法的有效性。该方法不仅能估算出被替换电缆的拉力变化,还能估算出其邻近电缆的拉力变化,具有理想的时频分辨率,有助于在电缆替换过程中实时评估电缆的安全状态。
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引用次数: 0
Stiffness Separation Method for Reducing Calculation Time of Truss Structure Damage Identification 缩短桁架结构损伤鉴定计算时间的刚度分离法
IF 4.6 2区 工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY Pub Date : 2024-09-21 DOI: 10.1155/2024/5171542
Feng Xiao, Yuxue Mao, Huimin Sun, Gang S. Chen, Geng Tian

The inversion of a high-dimensional stiffness matrix with unknown parameters is time-consuming. In this study, a stiffness separation method is used to solve the large-scale matrix inversion problem. Substructures are isolated from the overall structure by mapping the substructure-related matrix, and the solvable equilibrium equations for the substructures can be established. This method divides the entire stiffness matrix into the sub-stiffness matrices, and the size of the matrix is reduced, thus greatly reducing the stiffness matrix inversion workload. Meanwhile, this paper refines the formulation of the stiffness separation method and presents the compatibility of forces and displacements with the stiffness matrix. A space-truss structure with different damage cases is studied to validate the effectiveness of the proposed method. The division of the structure into single and multi-region scenarios is considered, and the effect of the size and number of substructures on the damage identification is analyzed. These results demonstrate that the stiffness separation method can reduce the computational effort required for analyzing large-scale truss structures.

对带有未知参数的高维刚度矩阵进行反演非常耗时。本研究采用刚度分离法解决大规模矩阵反演问题。通过映射子结构相关矩阵,将子结构从整体结构中分离出来,并建立子结构的可解平衡方程。这种方法将整个刚度矩阵划分为子刚度矩阵,减小了矩阵的大小,从而大大减少了刚度矩阵反演的工作量。同时,本文完善了刚度分离法的公式,并提出了力和位移与刚度矩阵的相容性。为了验证所提方法的有效性,本文研究了不同损伤情况下的空间桁架结构。考虑了将结构分为单区域和多区域的情况,并分析了子结构的大小和数量对损伤识别的影响。这些结果表明,刚度分离方法可以减少分析大型桁架结构所需的计算量。
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引用次数: 0
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