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Development of Recursive Subspace Identification for Real-Time Structural Health Monitoring under Seismic Loading 开发用于地震荷载下实时结构健康监测的递归子空间识别技术
Pub Date : 2023-11-23 DOI: 10.1155/2023/1117042
Shieh-Kung Huang, Fu-Chung Chi
Structural health monitoring (SHM) can continuously and nondestructively evaluate the state and performance of structures using the structural responses to external loads or environmental conditions. Moreover, online or real-time SHM of civil structures provides significant advantages over periodic or manual inspection methods, especially under disaster loadings, where the consequences of failure can be severe. To achieve it, performing system identification and damage detection recursively, said recursive subspace identification (RSI), is a promising solution, and SHM based on the algorithms can evaluate damage or deterioration of civil structures, give insight into the health and performance of a structural system, and provide valuable information for decision-making on maintenance and repair. However, the time-consuming decompositions frustrate these algorithms. As a compromise, additional processing is required to implement online and real-time applications. This study demonstrates a modified algorithm that takes advantage of the projection approximation subspace tracking (PAST) algorithm and the repeated system matrices in the extended observability matrix. The modification can reduce numerical decompositions and improve important timeliness for online or real-time SHM of civil structures. Both the numerical simulation and experimental investigation have been used to verify the proposed method, and the results show its capability to determine the changes in the dynamic characteristics of a structure in either the laboratory experiment or in the field application. In the last place, the discussion and some conclusions are also drawn in this paper.
结构健康监测(SHM)可以利用结构对外部荷载或环境条件的响应,对结构的状态和性能进行连续和非破坏性的评估。此外,与定期或人工检测方法相比,民用结构的在线或实时 SHM 具有显著优势,尤其是在灾害荷载下,因为在灾害荷载下,结构失效的后果可能非常严重。基于该算法的 SHM 可以评估民用结构的损坏或劣化情况,深入了解结构系统的健康状况和性能,并为维护和维修决策提供有价值的信息。然而,耗时的分解使这些算法受挫。作为折中方案,需要额外的处理来实现在线和实时应用。本研究展示了一种改进算法,它利用了投影近似子空间跟踪(PAST)算法和扩展可观测性矩阵中的重复系统矩阵。该改进算法可以减少数值分解,并提高民用结构在线或实时 SHM 的重要时效性。数值模拟和实验研究都被用来验证所提出的方法,结果表明该方法能够在实验室实验或现场应用中确定结构动态特性的变化。最后,本文还进行了讨论并得出了一些结论。
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引用次数: 0
Development of a High-Sensitivity and Adjustable FBG Strain Sensor for Structural Monitoring 开发用于结构监测的高灵敏度可调式 FBG 应变传感器
Pub Date : 2023-11-15 DOI: 10.1155/2023/6665803
Heying Qin, Chunde Li, Jianqiang Zhu, Boguang Luo, Feng Fu
In this paper, a new fiber Bragg grating (FBG) strain sensor with adjustable sensitivity is invented. The sensitivity adjustment, strain sensing, and temperature compensation principles of the sensor and the corresponding formulae are developed. The prototype sensor specimen is developed, and a series of tests are performed to investigate its strain sensitivity and temperature compensation characteristics. The results show that the strain sensitivity of the sensor can be adjusted effectively by the correspondent L/LFBG parameter, with an acceptable discrepancy within ±5% of the theoretical value. The linearity, repeatability, and hysteresis were analyzed, and the errors were 0.98%, 1.15%, and 0.09%, respectively, with excellent performance. When the temperature difference was 20°C, through temperature compensation calibration, the error between the monitored strain and the actual strain was within 5% after temperature compensation correction, showing that this new type of FBG strain sensor can meet the strain monitoring needs of various engineering structures and provide reliable data acquisition.
本文发明了一种灵敏度可调的新型光纤布拉格光栅(FBG)应变传感器。本文提出了该传感器的灵敏度调节、应变感应和温度补偿原理以及相应的计算公式。开发了传感器原型试样,并进行了一系列测试以研究其应变灵敏度和温度补偿特性。结果表明,传感器的应变灵敏度可以通过相应的 L/LFBG 参数进行有效调节,其偏差在理论值的 ±5% 以内是可以接受的。分析了线性度、重复性和滞后,误差分别为 0.98%、1.15% 和 0.09%,性能优异。当温差为 20°C 时,通过温度补偿校准,温度补偿校正后监测应变与实际应变的误差在 5%以内,表明这种新型 FBG 应变传感器可以满足各种工程结构的应变监测需求,并提供可靠的数据采集。
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引用次数: 0
Video Motion Magnification and Subpixel Edge Detection-Based Full-Field Dynamic Displacement Measurement 基于视频运动放大和亚像素边缘检测的全场动态位移测量
Pub Date : 2023-09-08 DOI: 10.1155/2023/7904198
Da-You Duan, K. S. C. Kuang, Zuo-Cai Wang, Xiao-Tong Sun
Noncontact measurement techniques in structural dynamics field have progressed significantly in the past few decades. Vision-based measurement techniques are unique in that they have the ability to achieve full-field measurement and possess the typical advantages associated with noncontact measurement techniques. Recently, vision-based techniques have also been applied to streaming of videos for structural dynamic displacement measurement. The most recent trends in vision-based measurements include target tracing, digital image correlation, and target-less approaches. There are, however, some shortcomings of the vision-based techniques such as susceptibilities to image noise, prevailing light conditions, and limit in measurement resolution. To reduce these shortcomings, a method known as video motion magnification (MM) can be used to amplify small structural motions. Using the phase-based motion magnification (PBMM) and subpixel edge detection methods, the full-field dynamic displacements of the structure can be obtained. The deep convolutional long short-term memory (ConvLSTM) network is applied to aid in the selection of the frequency band for magnification in the PBMM algorithm. To achieve higher measurement accuracy, the displacement results with and without MM are combined with the finite impulse response (FIR) filter which can reduce the error caused by the PBMM procedure. In the tests, plastic optical fiber (POF) displacement sensors are introduced and used as reference measurements to compare the dynamic displacement results from the proposed vision-based method. Compared with the measured displacements with POF sensors, the proposed method offers high level of accuracy for full-field displacement measurement.
近几十年来,结构动力学领域的非接触测量技术取得了重大进展。基于视觉的测量技术的独特之处在于,它能够实现全场测量,并具有非接触测量技术的典型优势。近年来,基于视觉的技术也被应用于结构动态位移测量的视频流。基于视觉的测量的最新趋势包括目标跟踪、数字图像相关和无目标方法。然而,基于视觉的技术存在一些缺点,如对图像噪声的敏感性、普遍的光条件和测量分辨率的限制。为了减少这些缺点,一种被称为视频运动放大(MM)的方法可以用来放大小的结构运动。采用基于相位的运动放大(PBMM)和亚像素边缘检测方法,可以获得结构的全场动态位移。在PBMM算法中,利用深度卷积长短期记忆(ConvLSTM)网络帮助选择放大频带。为了获得更高的测量精度,将带和不带MM的位移结果与有限脉冲响应(FIR)滤波器相结合,减小了PBMM过程带来的误差。在测试中,引入了塑料光纤位移传感器,并将其作为参考测量,以比较所提出的基于视觉方法的动态位移结果。与POF传感器测量的位移相比,该方法具有较高的全场位移测量精度。
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引用次数: 0
Optimal Active Vibration Control of Tensegrity Structures Using Fast Model Predictive Control Strategy 基于快速模型预测控制策略的张拉整体结构振动最优主动控制
Pub Date : 2023-09-07 DOI: 10.1155/2023/2076738
X. Feng, Yangbiao Fan, Haijun Peng, Yao Chen, Yiwen Zheng
Active vibration control of tensegrity structures is often challenging due to the geometrical nonlinearity, assemblage uncertainties of connections, and actuator saturation of controllers. To tackle these technical difficulties, a fast model predictive control (FMPC) strategy is herein implemented to effectively mitigate the structural vibration. Specifically, based on the explicit expression form of the Newmark- β method, the computation of the matrix exponential is avoided and replaced by one online and two offline transient analyses at each sampling instant on the structure, and the optimal control input is attainted from the second-order dynamic equation without forming an expanded state-space equation. Meanwhile, the artificial fish swarm algorithm (AFSA) is embedded to automatically derive optimal arrangement of actuators with the selection of a reasonable objective function. Two illustrative examples, including two standard and clustered tensegrity beams and a clustered tensegrity tower, have been fully investigated. The outcomes from illustrative examples prove the effectiveness and feasibility of the proposed method in optimal active vibration control of tensegrity structures, implying a promising prospect of the investigated approach in analyzing and solving relevant engineering problems.
由于张拉整体结构的几何非线性、连接的装配不确定性以及控制器的执行器饱和等问题,主动振动控制往往具有挑战性。为了解决这些技术难题,本文采用快速模型预测控制(FMPC)策略来有效地减轻结构振动。具体而言,基于Newmark- β方法的显式表达形式,避免了矩阵指数的计算,并在每个采样时刻对结构进行一次在线和两次离线瞬态分析,并且在不形成扩展状态空间方程的情况下从二阶动力学方程获得最优控制输入。同时,嵌入人工鱼群算法(AFSA),通过选择合理的目标函数,自动导出执行器的最优配置。两个说明性的例子,包括两个标准和集群张拉整体梁和集群张拉整体塔,已经充分研究。算例结果证明了该方法在张拉整体结构振动最优主动控制中的有效性和可行性,表明该方法在分析和解决相关工程问题方面具有广阔的应用前景。
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引用次数: 0
A Novel Adaptive Square Root UKF with Forgetting Factor for the Time-Variant Parameter Identification 一种带遗忘因子的时变参数自适应平方根UKF辨识方法
Pub Date : 2023-09-06 DOI: 10.1155/2023/4160146
Yanzhe Zhang, Yong Ding, Jianqing Bu, Lina Guo
The unscented Kalman filter (UKF) serves as an efficient estimator widely utilized for the recursive identification of parameters. However, the UKF is not well suited for tracking time-variant parameters. Moreover, the unscented transformation (UT) used in the UKF typically relies on Cholesky decomposition to perform the square root operation of the covariance matrix. This method necessitates the matrix to maintain symmetry and positive definiteness. Due to the adverse influence of rounding error and noise, it becomes challenging to guarantee the positive definiteness of the matrix in each recursive step for practical engineering. The square root UKF (SRUKF) eliminates the need for the square root operation in the UT by directly updating the square root of the covariance matrix during each recursion. However, the SRUKF still relies on the rank 1 update to the Cholesky factorization to perform the recursive process, which also necessitates the matrix to be positive definite. Furthermore, the SRUKF is ineffective in the identification of time-variant parameters. Therefore, this paper proposes a modification to the SRUKF that ensures unconditional numerical stability by utilizing QR decomposition. Subsequently, the modified square root UKF (MSRUKF) method is enhanced by incorporating an adaptive forgetting factor that can be adjusted based on the residual information from each recursive step. This adaptation leads to the development of the adaptive SRUKF with forgetting factor (ASRUKF-FF) method, which significantly improves the tracking capability for time-variant parameters. To validate the effectiveness of the proposed method, this paper demonstrates its application in identifying the time-variant stiffness and damping parameters of a three-story frame structure. In addition, the method is employed to estimate the time-variant stiffness of the bridge excited by vehicles. The simulation results show that the proposed method has the superiority of high accuracy, strong robustness, and widespread applicability, even with incomplete measurements and inappropriate parameter settings.
无气味卡尔曼滤波器(UKF)是一种有效的估计器,广泛应用于参数递归辨识。然而,UKF并不适合于跟踪时变参数。此外,UKF中使用的unscented变换(UT)通常依赖于Cholesky分解来执行协方差矩阵的平方根运算。这种方法要求矩阵保持对称和正确定性。由于舍入误差和噪声的不利影响,在实际工程中,如何保证矩阵在每一步递归中的正确定性成为一项挑战。平方根UKF (SRUKF)通过在每次递归期间直接更新协方差矩阵的平方根,消除了在UT中进行平方根操作的需要。然而,SRUKF仍然依赖于对Cholesky分解的秩1更新来执行递归过程,这也需要矩阵是正定的。此外,SRUKF在时变参数的识别中是无效的。因此,本文提出利用QR分解对SRUKF进行修正,以保证其数值的无条件稳定性。随后,改进的平方根UKF (MSRUKF)方法加入了一个自适应遗忘因子,该因子可以根据每个递归步骤的残差信息进行调整。这种适应导致了带遗忘因子的自适应SRUKF (ASRUKF-FF)方法的发展,显著提高了对时变参数的跟踪能力。为了验证该方法的有效性,本文通过实例验证了该方法在三层框架结构时变刚度和阻尼参数识别中的应用。此外,还利用该方法对车辆作用下桥梁的时变刚度进行了估计。仿真结果表明,该方法具有精度高、鲁棒性强、适用范围广等优点,即使在测量不完整、参数设置不合理的情况下也能实现。
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引用次数: 0
Bridge Displacement Measurement Using the GAN-Network-Based Spot Removal Algorithm and the SR-Based Coarse-to-Fine Target Location Method 基于gan网络的斑点去除算法和基于sr的粗到精目标定位方法的桥梁位移测量
Pub Date : 2023-09-04 DOI: 10.1155/2023/6035288
Shanshan Yu, Jian Zhang
Image-based bridge displacement measurement still suffers from certain limitations in outdoor implementation. Each of these limitations was addressed in this study. (1) The laser spot is difficult to identify visually during the object distance (OD: mm) measurement using a laser rangefinder, which makes the scale factor (SF: mm/pixel) calibration tricky. To overcome this issue, a stereovision-based full-field OD measurement method using only one camera was suggested. (2) Sunlight reflected by the water surface during the measurement causes light spot interference on the captured images, which is not conducive to target tracking. A network for light spot removal based on a generative adversarial network (GAN) is designed. To obtain a better image restoration effect, the edge prior was novelly designed as the input of a shadow mask-based semantic-aware network (S2Net). (3) A coarse-to-fine matching strategy combined with image sparse representation (SR) was developed to balance the subpixel location precision and efficiency. The effectiveness of the above innovations was verified through algorithm evaluation. Finally, the integrated method was applied to the vibration response monitoring of a concrete bridge impacted by the traffic load. The image-based measurement results show good agreement with those of the long-gauge fiber Bragg grating sensors and lower noise than that of the method before improvement.
基于图像的桥梁位移测量在室外实施时还存在一定的局限性。本研究解决了这些限制。(1)激光测距仪测量目标距离(OD: mm)时,激光光斑难以直观识别,导致尺度因子(SF: mm/pixel)标定困难。为了解决这一问题,提出了一种基于立体视觉的单摄像机全场外径测量方法。(2)测量时水面反射的太阳光对捕获图像产生光斑干扰,不利于目标跟踪。设计了一种基于生成对抗网络(GAN)的光斑去除网络。为了获得更好的图像恢复效果,将边缘先验作为基于阴影掩模的语义感知网络(S2Net)的输入。(3)为了平衡亚像素定位精度和效率,提出了一种结合图像稀疏表示(SR)的粗精匹配策略。通过算法评价验证了上述创新的有效性。最后,将该方法应用于某混凝土桥梁在交通荷载作用下的振动响应监测。基于图像的测量结果与长规光纤光栅传感器的测量结果吻合较好,噪声比改进前的方法低。
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引用次数: 0
Self-Tuning Inference Model for Settlement in Shield Tunneling: A Case Study of the Taipei Mass Rapid Transit System’s Songshan Line 盾构隧道沉降的自调谐推理模型——以台北捷运松山线为例
Pub Date : 2023-08-30 DOI: 10.1155/2023/6780235
Min-Yuan Cheng, Akhmad F. K. Khitam, Nan-Chieh Wang
Constructing tunnels in urban spaces usually uses shield tunneling. Because of numerous uncertainties related to underground construction, appropriate monitoring systems are required to prevent disasters from happening. This study collected the settlement monitoring data for Tender CG291 of the Songshan Line of the Taipei Mass Rapid Transit (MRT) system and considered that influential factors were examined to identify the correlations between predictor variables and settlement outcomes. An inference model based on symbiotic organisms search-least squares support vector machine (SOS-LSSVM) was proposed and trained on the collected data. Moreover, because the dataset used for this study contained far less data at the alert level than at the safe level, the class of the dataset was imbalanced, which could compromise the classification accuracy. This study also employed the probability distribution data balance sampling methods to enhance the forecast accuracy. The results showed that the SOS-LSSVM exhibited the most favorable accuracy compared to four other artificial intelligence-based inference models. Therefore, the proposed model can serve as an early warning reference in tunnel design and construction work.
在城市空间中修建隧道通常采用盾构法。由于与地下建设有关的许多不确定因素,需要适当的监测系统来防止灾害的发生。本研究以台北市地铁松山线CG291号标尺的沉降监测资料为研究对象,探讨影响因子与沉降结果的相关关系。提出了一种基于共生生物搜索-最小二乘支持向量机(SOS-LSSVM)的推理模型,并对采集到的数据进行了训练。此外,由于本研究使用的数据集包含的警报级别的数据远远少于安全级别的数据,因此数据集的类别不平衡,这可能会影响分类的准确性。本文还采用了概率分布数据平衡抽样方法来提高预测精度。结果表明,与其他四种基于人工智能的推理模型相比,SOS-LSSVM具有最有利的准确性。因此,该模型可为隧道设计和施工提供预警参考。
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引用次数: 0
Quantification of Statistical Error in the Estimate of Strain Power Spectral Density Transmissibility for Operational Strain Modal Analysis 工作应变模态分析中应变功率谱密度传递率估计统计误差的量化
Pub Date : 2023-08-29 DOI: 10.1155/2023/6661720
Q. Sun, W. Yan, W. Ren, Lin-Bo Cao, Hai-Yi Wu
The use of strain modes in structural health monitoring has been constantly increasing because of their superior sensitivity to local structural anomalies. This study aims to investigate the applicability and robustness of power spectral density transmissibility (PSDT) in operational strain modal analysis (OSMA). By noting that OSMA in the frequency domain is vulnerable to the error of spectral estimates, uncertainty quantification stemming from strain spectral estimates and the error propagation analysis in OSMA are conducted from an analytical perspective. The main contributions include the following: (i) the mean and variance of strain PSDT estimates are asymptotically derived based on statistical moment theory and the statistics of PSD estimate error, (ii) the coefficients of variation (c.o.v.) of the strain PSDT estimate and strain spectral estimates are compared with each other through asymptotic analysis to elaborate the robustness of strain PSDT, and (iii) the variability of the strain mode shape is quantified based on the asymptotic formula of strain PSDT estimates tending to local minima of asymptotic zero variance at the resonances. The accuracy and efficiency of the quantification and propagation analysis are validated through numerical and experimental test data accompanied by various parametric studies.
应变模态在结构健康监测中的应用越来越多,因为它对局部结构异常具有优异的灵敏度。本研究旨在探讨功率谱密度透射率(PSDT)在运行应变模态分析(OSMA)中的适用性和鲁棒性。鉴于频域的OSMA易受频谱估计误差的影响,从分析的角度对应变谱估计的不确定性进行量化,并对OSMA中的误差传播进行分析。主要贡献包括:(1)基于统计矩理论和PSD估计误差的统计,渐近推导应变PSDT估计的均值和方差;(2)通过渐近分析比较应变PSDT估计和应变谱估计的变异系数(c.o.v),阐述应变PSDT的鲁棒性;(iii)基于应变PSDT估计在共振处趋于渐近零方差的局部最小值的渐近公式,对应变模态振型的变异性进行量化。通过数值和实验测试数据以及各种参数研究,验证了量化和传播分析的准确性和有效性。
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引用次数: 1
Instrumentation of Field-Testing Sites for Dynamic Characterization of the Temperature-Dependent Stiffness of Pavements and Their Layers 路面及其层温相关刚度动态特性的现场试验场仪器
Pub Date : 2023-08-28 DOI: 10.1155/2023/2857660
V. Donev, Rodrigo Díaz Flores, L. Eberhardsteiner, Luis Zelaya-Lainez, C. Hellmich, Martin Buchta, B. Pichler
Falling weight deflectometer (FWD) tests are performed worldwide for assessing the health of pavement structures. Interpretation of FWD-measured surface deflections turns out to be challenging because the behavior of pavement structures is temperature-dependent. In order to investigate the influence of temperature on the overall pavement performance and on the stiffness of individual layers, temperature sensors, asphalt strain gauges, and accelerometers were installed into one rigid (concrete) and two flexible (asphalt) pavement structures, mostly at layer interfaces. Three different methods for installation of the strain gauges are compared. From correspondingly gained experience, it is recommended to install a steel dummy as a place-holder into the surface of hot asphalt layers, immediately after their construction and right before their compaction, and to replace the dummy with the actual sensor right before the installation of the next layer. Concerning the first data obtained from dynamic testing at the field-testing sites, FWD tests performed at different temperatures deliver, as expected, different surface deflections. As for the rigid pavement, sledgehammer strokes onto a metal plate, transmitted to the pavement via a rubber pad, yield accelerometer readings that allow for detection of curling (=temperature-gradient-induced partial loss of contact of the concrete slab from lower layers). In the absence of curling, the here-proposed sledgehammer tests yield accelerometer readings that allow for quantification of the runtime of longitudinal waves through asphalt, cement-stabilized, and unbound layers, such that their stiffness can be quantified using the theory of elastic wave propagation through isotropic media.
下落重量偏转计(FWD)试验在世界范围内进行,以评估路面结构的健康。由于路面结构的行为与温度有关,因此解释fwd测量的表面挠度是具有挑战性的。为了研究温度对整体路面性能和各层刚度的影响,温度传感器、沥青应变计和加速度计被安装在一个刚性(混凝土)和两个柔性(沥青)路面结构中,主要安装在层界面处。比较了三种不同的应变片安装方法。根据相应的经验,建议在热沥青层施工后、压实前立即在热沥青层表面安装钢假人作为占位器,在下一层安装前将假人更换为实际传感器。根据现场测试现场动态测试获得的第一批数据,在不同温度下进行的FWD测试,正如预期的那样,产生了不同的表面挠度。对于刚性路面,大锤敲击金属板,通过橡胶垫传递到路面,产生加速度计读数,允许检测弯曲(=温度梯度引起的混凝土板与下层的部分接触损失)。在没有卷曲的情况下,本文提出的大锤测试产生的加速度计读数可以量化纵波在沥青、水泥稳定层和非粘结层中的运行时间,这样就可以使用弹性波在各向同性介质中的传播理论来量化它们的刚度。
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引用次数: 0
MLA-TCN: Multioutput Prediction of Dam Displacement Based on Temporal Convolutional Network with Attention Mechanism 基于注意机制的时间卷积网络的大坝位移多输出预测
Pub Date : 2023-08-25 DOI: 10.1155/2023/2189912
Yu Wang, Guohua Liu
The displacement of concrete dams effectively reflects their structural integrity and operational status. Therefore, establishing a model for predicting the displacement of concrete dams and studying the evolution mechanism of dam displacement is essential for monitoring the structural safety of dams. Current data-driven models utilize artificial data that cannot reflect the actual status of dams for network training. They also have difficulty extracting the temporal patterns from long-term dependencies and obtaining the interactions between the targets and variables. To address such problems, we propose a novel model for predicting the displacement of dams based on the temporal convolutional network (TCN) with the attention mechanism and multioutput regression branches, named MLA-TCN (where MLA is multioutput model with attention mechanism). The attention mechanism implements information screening and weight distribution based on the importance of the input variables. The TCN extracts long-term temporal information using the dilated causal convolutional network and residual connection, and the multioutput regression branch achieves simultaneous multitarget prediction by establishing multiple regression tasks. Finally, the applicability of the proposed model is demonstrated using data on a concrete gravity dam within 14 years, and its accuracy is validated by comparing it with seven state-of-the-art benchmarks. The results show that the MLA-TCN model, with a mean absolute error (MAE) of 0.05 mm, a root-mean-square error (RMSE) of 0.07 mm, and a coefficient of determination (R2) of 0.99, has a comparably high predictive capability and outperforms the benchmarks, providing an accurate and effective method to estimate the displacement of dams.
混凝土坝的位移是混凝土坝结构完整性和运行状态的有效反映。因此,建立混凝土大坝位移预测模型,研究大坝位移演化机制,是监测大坝结构安全的必要条件。目前的数据驱动模型利用不能反映大坝实际状态的人工数据进行网络训练。他们也很难从长期依赖关系中提取时间模式,并获得目标和变量之间的相互作用。为了解决这些问题,我们提出了一种基于具有注意机制和多输出回归分支的时间卷积网络(TCN)预测大坝位移的新模型,命名为MLA-TCN(其中MLA是具有注意机制的多输出模型)。注意机制根据输入变量的重要性实现信息筛选和权重分配。TCN利用扩展因果卷积网络和残差连接提取长期时间信息,多输出回归分支通过建立多个回归任务实现同时多目标预测。最后,利用某混凝土重力坝14年的数据验证了所提模型的适用性,并通过与7个最先进的基准进行比较验证了其准确性。结果表明,MLA-TCN模型的平均绝对误差(MAE)为0.05 mm,均方根误差(RMSE)为0.07 mm,决定系数(R2)为0.99,具有较高的预测能力,优于基准,为大坝位移估计提供了一种准确有效的方法。
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引用次数: 0
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Structural Control and Health Monitoring
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