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26 pages, 15661 KiB  
Article
Highly Responsive Robotic Prosthetic Hand Control Considering Electrodynamic Delay
by Jiwoong Won and Masami Iwase
Sensors 2025, 25(1), 113; https://doi.org/10.3390/s25010113 - 27 Dec 2024
Viewed by 295
Abstract
As robots become increasingly integrated into human society, the importance of human–machine interfaces continues to grow. This study proposes a faster and more accurate control system for myoelectric prostheses by considering the Electromechanical Delay (EMD), a key characteristic of Electromyography (EMG) signals. Previous [...] Read more.
As robots become increasingly integrated into human society, the importance of human–machine interfaces continues to grow. This study proposes a faster and more accurate control system for myoelectric prostheses by considering the Electromechanical Delay (EMD), a key characteristic of Electromyography (EMG) signals. Previous studies have focused on systems designed for wrist movements without attempting implementation. To overcome this, we expanded the system’s capability to handle more complex movements, such as those of fingers, by replacing the existing four-channel wired EMG sensor with an eight-channel wireless EMG sensor. This replacement improved the number of channels and user convenience. Additionally, we analyzed the communication delay introduced by this change and validated the feasibility of utilizing EMD. Furthermore, to address the limitations of the SISO-NARX model, we proposed a MISO-NARX model. To resolve issues related to model complexity and reduced accuracy due to the increased number of EMG channels, we introduced ridge regression, improving the system identification accuracy. Finally, we applied the ZPETC+PID controller to an actual servo motor and verified its performance. The results showed that the system reached the target value approximately 0.240 s faster than the response time of 0.428 s without the controller. This study significantly enhances the responsiveness and accuracy of myoelectric prostheses and is expected to contribute to the development of practical devices in the future. Full article
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<p>Robot hand.</p>
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<p>GWS Micro 2BBMG—micro servo manufactured by Grand Wing Servo-Tech Co., Ltd. (GWS), a company based in Taipei, Taiwan.</p>
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<p>Block diagram of the control system used for the robotic hand. The system processes EMG signals obtained from the wrist through a PC-based NARX model with a low-pass filter to estimate the wrist angle. The estimated angle serves as input for two control strategies: the feedforward control (ZPETC) and the feedback control (PID controller). ZPETC compensates for phase delay by leveraging the EMD time, while the PID controller minimizes the error between the motor and wrist angles. The combined outputs of these controllers enable precise and responsive control of the robotic hand.</p>
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<p>(<b>a</b>) Myo armband from Thalmic Labs. (<b>b</b>) Wearing position of Myo armband.</p>
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<p>EMG measurement side view.</p>
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<p>(<b>a</b>) Dorsi flexion. (<b>b</b>) Palmar flexion.</p>
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<p>(<b>a</b>) SG65 Goniometer from Biometrics Ltd., a company based in Newport, United Kingdom. (<b>b</b>) Set up position of SG65.</p>
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<p>K800 Amplifier from Biometrics Ltd. (Newport, UK).</p>
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<p>Step response of discretized transfer function and output data.</p>
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<p>(<b>a</b>) Measured EMG signal by Myo armband. (<b>b</b>) low-pass filtered EMG signal.</p>
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<p>Wrist angle by goniometer.</p>
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<p>(<b>a</b>) Raw EMG signals and wrist angles. (<b>b</b>) Low-pass filtered EMG signals and wrist angles.</p>
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<p>(<b>a</b>) Enlarged view of raw EMG signals and wrist angles. (<b>b</b>) Enlarged view of low-pass filtered EMG signals and wrist angles.</p>
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<p>(<b>a</b>) The AIC results for Dataset 1. (<b>b</b>) The AIC results for Dataset 2. (<b>c</b>) The AIC results for Dataset 3. (<b>d</b>) The AIC results for Dataset 4.</p>
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<p>(<b>a</b>) The ARX estimation results for Dataset 1 with an order of 1 are presented below. (<b>b</b>) The ARX estimation results for Dataset 2 with an order of 1 are presented below. (<b>c</b>) The ARX estimation results for Dataset 1 with an order of 2 are presented below. (<b>d</b>) The ARX estimation results for Dataset 2 with an order of 2 are presented below.</p>
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<p>(<b>a</b>) The estimation result of wrist angle using EMG, 4ch SISO-NARX model. (<b>b</b>) The estimation result of wrist angle using EMG, 4ch MISO-NARX model.</p>
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<p>The estimation result of wrist angle using EMG, 8ch MISO-NARX model.</p>
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<p>Wrist angle estimated using a 8ch MISO-NARX model with ridge regression.</p>
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<p>Wrist angle estimated using a 4ch MISO-NARX model with ridge regression.</p>
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<p>Pole-zero map of the closed-loop system.</p>
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<p>Simulation results when step input is applied to the system transfer function and the system transfer function with ZPETC+PID controller.</p>
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<p>Output results when the ZPETC+PID controller is applied to the robotic hand system.</p>
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16 pages, 1604 KiB  
Article
Crude Oil Futures Price Forecasting Based on Variational and Empirical Mode Decompositions and Transformer Model
by Linya Huang, Xite Yang, Yongzeng Lai, Ankang Zou and Jilin Zhang
Mathematics 2024, 12(24), 4034; https://doi.org/10.3390/math12244034 - 23 Dec 2024
Viewed by 361
Abstract
Crude oil is a raw and natural, but nonrenewable, resource. It is one of the world’s most important commodities, and its price can have ripple effects throughout the broader economy. Accurately predicting crude oil prices is vital for investment decisions but it remains [...] Read more.
Crude oil is a raw and natural, but nonrenewable, resource. It is one of the world’s most important commodities, and its price can have ripple effects throughout the broader economy. Accurately predicting crude oil prices is vital for investment decisions but it remains challenging. Due to the deficiencies neglecting residual factors when forecasting using conventional combination models, such as the autoregressive moving average and the long short-term memory for prediction, the variational mode decomposition (VMD)-empirical mode decomposition (EMD)-Transformer model is proposed to predict crude oil prices in this study. This model integrates a second decomposition and Transformer model-based machine learning method. More specifically, we employ the VMD technique to decompose the original sequence into variational mode filtering (VMF) and a residual sequence, followed by using EMD to decompose the residual sequence. Ultimately, we apply the Transformer model to predict the decomposed modal components and superimpose the results to produce the final forecasted prices. Further empirical test results demonstrate that the proposed quadratic decomposition composite model can comprehensively identify the characteristics of WTI and Brent crude oil futures daily price series. The test results illustrate that the proposed VMD–EMD–Transformer model outperforms the other three models—long short-term memory (LSTM), Transformer, and VMD–Transformer in forecasting crude oil prices. Details are presented in the empirical study part. Full article
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<p>The proposed VMD–EMD–Transformer prediction approach.</p>
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<p>Brent and WTI crude oil historical prices.</p>
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<p>Intrinsic mode functions (IMFs) derived from the Brent crude oil price residue using EMD, highlighting different frequency components.</p>
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<p>Intrinsic mode functions (IMFs) derived from the WTI crude oil price residue using EMD, illustrating low- and high-frequency trends.</p>
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<p>Comparison of actual and predicted Brent crude oil prices using the VMD–EMD–Transformer and baseline models.</p>
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<p>Comparison of actual and predicted WTI crude oil prices using the VMD–EMD–Transformer and baseline models.</p>
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16 pages, 6457 KiB  
Article
Intelligent Fault Diagnosis for Rotating Mechanical Systems: An Improved Multiscale Fuzzy Entropy and Support Vector Machine Algorithm
by Yuxin Pan, Yinsheng Chen, Xihong Fei, Kang Wang, Tian Fang and Jing Wang
Algorithms 2024, 17(12), 588; https://doi.org/10.3390/a17120588 - 20 Dec 2024
Viewed by 324
Abstract
Rotating mechanical systems (RMSs) are widely applied in various industrial fields. Intelligent fault diagnosis technology plays a significant role in improving the reliability and safety of industrial equipment. A new algorithm based on improved multiscale fuzzy entropy and support vector machine (IMFE-SVM) is [...] Read more.
Rotating mechanical systems (RMSs) are widely applied in various industrial fields. Intelligent fault diagnosis technology plays a significant role in improving the reliability and safety of industrial equipment. A new algorithm based on improved multiscale fuzzy entropy and support vector machine (IMFE-SVM) is proposed for the automatic diagnosis of various fault types in elevator rotating mechanical systems. First, the empirical mode decomposition (EMD) method is utilized to construct a decomposition model of the vibration data for the extraction of relevant parameters related to the fault feature. Secondly, the improved multiscale fuzzy entropy (IMFE) model is employed, where the scale factor of the multiscale fuzzy entropy (MFE) is extended to multiple subsequences to resolve the problem of insufficient coarse granularity in the traditional MFE. Subsequently, linear discriminant analysis (LDA) is applied to reduce the dimensionality of the extracted features in order to overcome the problem of feature redundancy. Finally, a support vector machine (SVM) model is utilized to construct the optimal hyperplane for the diagnosis of fault types. Experimental results indicate that the proposed method outperforms other state-of-the-art methods in the fault diagnosis of elevator systems. Full article
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<p>EMD of the signal.</p>
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<p>An improved coarse-graining method for a scale factor of 3.</p>
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<p>The design of the IMFE algorithm.</p>
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<p>Overall framework of the proposed method.</p>
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<p>The specific forms of the four signals. (<b>a</b>) <math display="inline"><semantics> <msub> <mi>x</mi> <mn>1</mn> </msub> </semantics></math>; (<b>b</b>) <math display="inline"><semantics> <msub> <mi>x</mi> <mn>2</mn> </msub> </semantics></math>; (<b>c</b>) <math display="inline"><semantics> <msub> <mi>x</mi> <mn>3</mn> </msub> </semantics></math>; (<b>d</b>) <math display="inline"><semantics> <msub> <mi>x</mi> <mn>4</mn> </msub> </semantics></math>.</p>
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<p>The results using FE, MFE, and IMFE methods for different lengths of four experimental signals.</p>
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<p>The variance and standard deviation results of entropy values for four signals at different lengths.</p>
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<p>Visualization of clustering effects of different signal features based on EMD and IMFE.</p>
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<p>Time-domain waveforms of the nine types of working fault.</p>
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<p>Detailed diagnosis results of different methods.</p>
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21 pages, 3756 KiB  
Article
The Analysis of Volatility for Non-Ferrous Metal Futures in Chinese Market Based on Multifractal Perspective
by Tao Yin, Shuang-Shuang Huang, Yiming Wang and George Xianzhi Yuan
Mathematics 2024, 12(24), 3960; https://doi.org/10.3390/math12243960 - 17 Dec 2024
Viewed by 311
Abstract
The goal of this paper is to study the behavior of non-ferrous metal futures’ volatilities in Chinese future market by applying a multifractal perspective. In particular, in order to obtain key indicators that describe the characterization of non-ferrous metal futures’ volatility behavior, we [...] Read more.
The goal of this paper is to study the behavior of non-ferrous metal futures’ volatilities in Chinese future market by applying a multifractal perspective. In particular, in order to obtain key indicators that describe the characterization of non-ferrous metal futures’ volatility behavior, we uses noise-removed EMD-MF-DFA and original MF-DFA methods to conduct a comparative analysis on the return time series of four non-ferrous metal futures, which are Aluminum future, Copper future, Zinc future and Lead future traded on the Shanghai Futures Exchange. This numerical study shows that the indicator established in characterizing the volatility of four non-ferrous metal futures is robust. In addition, we have the following four conclusions: First, there are obvious multifractal phenomena of non-ferrous metal futures in Chinese market, and it shows that Aluminum future has the largest degree of multifractality, and Copper future has the smallest degree of multifractality, which indicates that Aluminum future has the highest volatility complexity, and Copper future has the smallest volatility complexity. Second, it is found that the volatility complexity of these four non-ferrous metal futures is caused by long-range correlation. Third, this study also supports the current judgment that “Copper future has the greatest investment opportunity”. Finally, combined with analysis results, we also give suggestions to investors, producers, and regulators body for non-ferrous metal futures market in China. Full article
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<p>Price trend chart of the four non-ferrous metal futures.</p>
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<p>Price trend chart of the four non-ferrous metal futures.</p>
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<p>Time series and frequency distribution diagrams of the yield rates of four non-ferrous metal futures.</p>
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<p>Curves of <math display="inline"><semantics> <mrow> <mrow> <mrow> <mi mathvariant="normal"> log</mi> </mrow> <mo>⁡</mo> <mrow> <msub> <mrow> <mi>F</mi> </mrow> <mrow> <mi>q</mi> </mrow> </msub> </mrow> </mrow> <mfenced separators="|"> <mrow> <mi>s</mi> </mrow> </mfenced> <mo>~</mo> <mrow> <mrow> <mi mathvariant="normal">log</mi> </mrow> <mo>⁡</mo> <mrow> <mfenced separators="|"> <mrow> <mi>s</mi> </mrow> </mfenced> </mrow> </mrow> </mrow> </semantics></math> for four non-ferrous metal futures before and after denoising.</p>
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<p>Curves of <math display="inline"><semantics> <mrow> <mrow> <mrow> <mi mathvariant="normal"> log</mi> </mrow> <mo>⁡</mo> <mrow> <msub> <mrow> <mi>F</mi> </mrow> <mrow> <mi>q</mi> </mrow> </msub> </mrow> </mrow> <mfenced separators="|"> <mrow> <mi>s</mi> </mrow> </mfenced> <mo>~</mo> <mrow> <mrow> <mi mathvariant="normal">log</mi> </mrow> <mo>⁡</mo> <mrow> <mfenced separators="|"> <mrow> <mi>s</mi> </mrow> </mfenced> </mrow> </mrow> </mrow> </semantics></math> for four non-ferrous metal futures before and after denoising.</p>
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<p>Generalized Hurst exponent diagrams of four non-ferrous metal futures before and after denoising.</p>
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<p>Multifractal quality index diagrams of four non-ferrous metal futures before and after denoising.</p>
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<p>Multifractal spectra of four non-ferrous metal futures before and after denoising.</p>
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<p>Generalized Hurst index diagrams of the original, rearranged, and substituted sequences of four non-ferrous metal futures before denoising. Note: the blue line is the original sequence; the orange line is the rearranged sequence, and the yellow line is the substituted sequence.</p>
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<p>Generalized Hurst index diagram of original, rearranged, and substituted sequences of four non-ferrous metal futures after denoising. Note: the blue line is the original sequence; the orange line is the rearranged sequence, and the yellow line is the substituted sequence.</p>
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16 pages, 3708 KiB  
Article
Suppression of Strong Cultural Noise in Magnetotelluric Signals Using Particle Swarm Optimization-Optimized Variational Mode Decomposition
by Zhongda Shang, Xinjun Zhang, Shen Yan and Kaiwen Zhang
Appl. Sci. 2024, 14(24), 11719; https://doi.org/10.3390/app142411719 - 16 Dec 2024
Viewed by 382
Abstract
To effectively separate strong cultural noise in Magnetotelluric (MT) signals under strong interference conditions and restore the true forms of apparent resistivity and phase curves, this paper proposes an improved method for suppressing strong cultural noise based on Particle Swarm Optimization (PSO) and [...] Read more.
To effectively separate strong cultural noise in Magnetotelluric (MT) signals under strong interference conditions and restore the true forms of apparent resistivity and phase curves, this paper proposes an improved method for suppressing strong cultural noise based on Particle Swarm Optimization (PSO) and Variational Mode Decomposition (VMD). First, the effects of two initial parameters, the decomposition scale K and penalty factor α, on the performance of variational mode decomposition are studied. Subsequently, using the PSO algorithm, the optimal combination of influential parameters in the VMD is determined. This optimal parameter set is applied to decompose electromagnetic signals, and Intrinsic Mode Functions (IMFs) are selected for signal reconstruction based on correlation coefficients, resulting in denoised electromagnetic signals. The simulation results show that, compared to traditional algorithms such as Empirical Mode Decomposition (EMD), Intrinsic Time Decomposition (ITD), and VMD, the Normalized Cross-Correlation (NCC) and signal-to-noise ratio (SNR) of the PSO-optimized VMD method for suppressing strong cultural noise increased by 0.024, 0.035, 0.019, and 2.225, 2.446, 1.964, respectively. The processing of field data confirms that this method effectively suppresses strong cultural noise in strongly interfering environments, leading to significant improvements in the apparent resistivity and phase curve data, thereby enhancing the authenticity and reliability of underground electrical structure interpretations. Full article
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<p>Time-domain waveform of simulated strong cultural noise. Horizontal coordinates indicate sampling points and vertical coordinates indicate amplitude. (<b>a</b>) Clean signal; (<b>b</b>) simulated impulse noise signal; (<b>c</b>) simulated square noise signal; (<b>d</b>) simulated triangle noise signal; (<b>e</b>) simulated periodic noise signal.</p>
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<p>Convergence result of parameter iteration.</p>
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<p>Three-dimensional representation of simulated signal decomposition. Different colors represent different IMFs, blue means initial signal IMF0, orange means IMF1, green means IMF2, and so on.</p>
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<p>Comparison of simulated signal before and after denoising. Horizontal coordinates indicate sampling points and vertical coordinates indicate amplitude. The first line in blue indicates the initial signal, the second line in red indicates the extracted noise signal, and the third line in blue indicates the reconstructed denoised signal. (<b>a</b>) Comparison of simulated impulse noise signal; (<b>b</b>) comparison of simulated square noise signal; (<b>c</b>) comparison of simulated triangle noise signal; (<b>d</b>) comparison simulated periodic noise signal.</p>
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<p>Denoising representation of time series signal of field MT data. Horizontal coordinates indicate sampling points and vertical coordinates indicate amplitude. The first line in blue indicates the initial signal, the second line in red indicates the extracted noise signal, and the third line in blue indicates the reconstructed denoised signal. (<b>a</b>) Field signal; (<b>b</b>) noise contours extracted using the VMD method; (<b>c</b>) reconstructed signal.</p>
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<p>Comparison of the resistivity and phase curves before and after denoising. The black curves represent impedance Zxy and the red curves represent impedance Zyx. (<b>a</b>) Before denoising; (<b>b</b>) after denoising.</p>
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<p>Resistivity curve comparison using impedance Zxy as an example.</p>
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20 pages, 11374 KiB  
Article
Investigation of Separating Temperature-Induced Structural Strain Using Improved Blind Source Separation (BSS) Technique
by Hao’an Gu, Xin Zhang, Dragoslav Sumarac, Jiayi Peng, László Dunai and Yufeng Zhang
Sensors 2024, 24(24), 8015; https://doi.org/10.3390/s24248015 - 15 Dec 2024
Viewed by 652
Abstract
The strain data acquired from structural health monitoring (SHM) systems of large-span bridges are often contaminated by a mixture of temperature-induced and vehicle-induced strain components, thereby complicating the assessment of bridge health. Existing approaches for isolating temperature-induced strains predominantly rely on statistical temperature–strain [...] Read more.
The strain data acquired from structural health monitoring (SHM) systems of large-span bridges are often contaminated by a mixture of temperature-induced and vehicle-induced strain components, thereby complicating the assessment of bridge health. Existing approaches for isolating temperature-induced strains predominantly rely on statistical temperature–strain models, which can be significantly influenced by arbitrarily chosen parameters, thereby undermining the accuracy of the results. Additionally, signal processing techniques, including empirical mode decomposition (EMD) and others, frequently yield unstable outcomes when confronted with nonlinear strain signals. In response to these challenges, this study proposes a novel temperature-induced strain separation technique based on improved blind source separation (BSS), termed the Temperature-Separate Second-Order Blind Identification (TS-SOBI) method. Numerical verification using a finite element (FE) bridge model that considers both temperature loads and vehicle loads confirms the effectiveness of TS-SOBI in accurately separating temperature-induced strain components. Furthermore, real strain data from the SHM system of a long-span bridge are utilized to validate the application of TS-SOBI in practical engineering scenarios. By evaluating the remaining strain components after applying the TS-SOBI method, a clearer understanding of changes in the bridge’s loading conditions is achieved. The investigation of TS-SOBI introduces a novel perspective for mitigating temperature effects in SHM applications for bridges. Full article
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<p>Flowchart of the TS-SOBI method.</p>
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<p>Schematic diagram and cross-section of the FE model.</p>
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<p>The first six modes and frequencies of the FE model. Colors represent displacement under different modes, with blue to red representing an increase in displacement values.</p>
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<p>The temperature variation curve.</p>
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<p>Working Condition 1: Load consideration.</p>
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<p>Working Condition 1: Six sets of strain signals collected. (<b>a</b>) Strain at monitoring point 1. (<b>b</b>) Strain at monitoring point 2. (<b>c</b>) Strain at monitoring point 3. (<b>d</b>) Strain at monitoring point 4. (<b>e</b>) Strain at monitoring point 5. (<b>f</b>) Strain at monitoring point 6.</p>
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<p>Working Condition 1: Separation results of strain signals. (<b>a</b>) The 1st separated signal. (<b>b</b>) The 2nd separated signal. (<b>c</b>) The 3rd separated signal. (<b>d</b>) The 4th separated signal. (<b>e</b>) The 5th separated signal. (<b>f</b>) The 6th separated signal.</p>
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<p>Working Condition 1: The comparison between the first separated signal and the model temperature change curve.</p>
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<p>Working Condition 2: Load consideration.</p>
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<p>Working Condition 2: Six sets of strain signals collected. (<b>a</b>) Strain at monitoring point 1. (<b>b</b>) Strain at monitoring point 2. (<b>c</b>) Strain at monitoring point 3. (<b>d</b>) Strain at monitoring point 4. (<b>e</b>) Strain at monitoring point 5. (<b>f</b>) Strain at monitoring point 6. The red circles mark the occurrence of the sudden changes.</p>
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<p>Working Condition 2: First four separated signals in separation results of strain signals. (<b>a</b>) The 1st separated signal. (<b>b</b>) The 2nd separated signal. (<b>c</b>) The 3rd separated signal. (<b>d</b>) The 4th separated signal. The red circles mark the abrupt change and the purple dashed lines indicate its occurrence time.</p>
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<p>Working Condition 2: The comparison between the first separated signal and the model temperature change curve.</p>
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<p>Experimental validation: Location map of sensors using data.</p>
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<p>Experimental validation: Four sets of strain signals collected from the strain gauges. (<b>a</b>) Strain of strain gauge 1. (<b>b</b>) Strain of strain gauge 2. (<b>c</b>) Strain of strain gauge 3. (<b>d</b>) Strain of strain gauge 4.</p>
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<p>Experimental validation: The temperature variation curve of the bridge.</p>
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<p>Experimental validation: Separation results of strain signals. (<b>a</b>) The 1st separated signal. (<b>b</b>) The 2nd separated signal. (<b>c</b>) The 3rd separated signal. (<b>d</b>) The 4th separated signal. The purple rectangles mark the existence of downward depressions, and the red circle marks the occurrence of sudden change.</p>
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<p>Experimental validation: The comparison between the first separated signal and the model temperature change curve.</p>
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<p>Experimental validation: Experimental load-bearing trucks full of sand and stones on Sutong Bridge.</p>
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<p>Experimental validation: Locations of load-bearing trucks in the static load test.</p>
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14 pages, 2120 KiB  
Article
Flexible Polymer-Based Electrodes for Detecting Depression-Related Theta Oscillations in the Medial Prefrontal Cortex
by Rui Sun, Shunuo Shang, Qunchen Yuan, Ping Wang and Liujing Zhuang
Chemosensors 2024, 12(12), 258; https://doi.org/10.3390/chemosensors12120258 - 10 Dec 2024
Viewed by 607
Abstract
This study investigates neural activity changes in the medial prefrontal cortex (mPFC) of a lipopolysaccharide (LPS)-induced acute depression mouse model using flexible polymer multichannel electrodes, local field potential (LFP) analysis, and a convolutional neural network-long short-term memory (CNN-LSTM) classification model. LPS treatment effectively [...] Read more.
This study investigates neural activity changes in the medial prefrontal cortex (mPFC) of a lipopolysaccharide (LPS)-induced acute depression mouse model using flexible polymer multichannel electrodes, local field potential (LFP) analysis, and a convolutional neural network-long short-term memory (CNN-LSTM) classification model. LPS treatment effectively induced depressive-like behaviors, including increased immobility in the tail suspension and forced swim tests, as well as reduced sucrose preference. These behavioral outcomes validate the LPS-induced depressive phenotype, providing a foundation for neurophysiological analysis. Flexible polymer-based electrodes enabled the long-term recording of high-quality LFP and spike signals from the mPFC. Time-frequency and power spectral density (PSD) analyses revealed a significant increase in theta band (3–8 Hz) amplitude under depressive conditions. Using theta waveform features extracted via empirical mode decomposition (EMD), we classified depressive states with a CNN-LSTM model, achieving high accuracy in both training and validation sets. This study presents a novel approach for depression state recognition using flexible polymer electrodes, EMD, and CNN-LSTM modeling, suggesting that heightened theta oscillations in the mPFC may serve as a neural marker for depression. Future studies may explore theta coupling across brain regions to further elucidate neural network disruptions associated with depression. Full article
(This article belongs to the Special Issue Advancements of Chemical and Biosensors in China—2nd Edition)
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<p>Behavioral assessment of depressive-like symptoms in mice following LPS injection. (<b>a</b>) Experimental timeline depicting saline or LPS injection, followed by behavioral tests at 24 h post-injection. (<b>b</b>–<b>d</b>) Open field test (OFT): (<b>c</b>) total distance traveled, and (<b>d</b>) time spent in the center zone. (<b>e</b>,<b>f</b>) Elevated plus maze (EPM): time spent in the open arms. (<b>g</b>,<b>h</b>) Sucrose preference test (SPT): percentage of sucrose preference. (<b>i</b>,<b>j</b>) Tail suspension test (TST): immobility time significantly increased in the LPS group. (<b>k</b>,<b>l</b>) Forced swim test (FST): immobility time significantly increased in the LPS group. All data are presented as means ± s.e.m. * <span class="html-italic">p</span> &lt; 0.05; ** <span class="html-italic">p</span> &lt; 0.01; n.s., no significance.</p>
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<p>Manufacturing and performance evaluation of MEA. (<b>a</b>) Schematic of the manufacturing process for MEA. (<b>b</b>) Impedance frequency sweep results of three electrodes (t1, t2, t3); inset shows the average impedance at 1 kHz. (<b>c</b>) Top: front view of the electrode demonstrating its flexibility; Bottom: side view showing the electrode bending. (<b>d</b>) LFP signals recorded using polymer electrodes, with consistent signals across different channels. (<b>e</b>) Comparison of neural spike signals recorded by polymer and silicon electrodes. (<b>f</b>) Spike waveforms recorded by polymer electrodes and PCA clustering results. (<b>g</b>) Spike waveforms from six channels, with different colors representing distinct unit clusters identified through clustering. (<b>h</b>) SNR comparison between polymer and silicon electrodes; SNR of polymer electrodes is significantly higher than that of silicon electrodes (*** <span class="html-italic">p</span> &lt; 0.001).</p>
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<p>Enhanced theta oscillations in the mPFC of LPS-induced depressive mice. (<b>a</b>,<b>b</b>) Time–frequency representations of LFP signals in the mPFC, comparing (<b>a</b>) baseline and (<b>b</b>) LPS conditions over a 300 s period in the 0–12 Hz frequency range. (<b>c</b>) Raw signals and band-pass filtered LFP signals under baseline (left) and LPS (right) conditions. (<b>d</b>) High-resolution 2 s time-frequency spectrograms in the 0–12 Hz range for baseline (left) and LPS (right) conditions. (<b>e</b>) PSD comparison plot (0–30 Hz). (<b>f</b>) Mean power across different frequency bands, with significantly elevated power in the delta and theta bands in the LPS-treated depressive group (<span class="html-italic">p</span> &lt; 0.01). All data are presented as means ± s.e.m. ** <span class="html-italic">p</span> &lt; 0.01; *** <span class="html-italic">p</span> &lt; 0.001; n.s., no significance.</p>
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<p>Depression state recognition based on EMD and machine learning. (<b>a</b>,<b>b</b>) EMD of LFP signals in baseline and LPS24h depression states in 4s, yielding multiple IMFs, with IMF-5 adaptively capturing theta band oscillations. (<b>c</b>) Averaged overlay of theta cycle waveforms (top) and distribution histogram of critical points (bottom) extracted through EMD, based on data collected within 300 s. (<b>d</b>) Comparison of averaged theta waveforms between the two states. (<b>e</b>) Phase-aligned theta waveforms. (<b>f</b>) Scatter plot of cycle average frequency versus average amplitude. (<b>g</b>) Confusion matrix of the machine learning classification model based on theta waveform features. (<b>h</b>,<b>i</b>) Classification accuracy and loss curves for the machine learning model on the training and validation sets.</p>
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20 pages, 16744 KiB  
Article
Bearing Fault Diagnosis Method Based on Osprey–Cauchy–Sparrow Search Algorithm-Variational Mode Decomposition and Convolutional Neural Network-Bidirectional Long Short-Term Memory
by Zhiyuan Xiong, Haochen Jiang, Da Wang, Xu Wu and Kenan Wu
Electronics 2024, 13(23), 4853; https://doi.org/10.3390/electronics13234853 - 9 Dec 2024
Viewed by 451
Abstract
To solve the problem of the low diagnosis rate of early weak faults of rolling bearings, a novel bearing fault diagnosis method based on Variational Mode Decomposition (VMD) and convolutional neural network (CNN)−Bidirectional Long Short-Term Memory (BiLSTM) was proposed. Based on the basic [...] Read more.
To solve the problem of the low diagnosis rate of early weak faults of rolling bearings, a novel bearing fault diagnosis method based on Variational Mode Decomposition (VMD) and convolutional neural network (CNN)−Bidirectional Long Short-Term Memory (BiLSTM) was proposed. Based on the basic Sparrow Search Algorithm, the tent chaotic mapping, the Osprey Optimization Algorithm, and the Cauchy mutation were used to enhance the global search ability of the algorithm. To improve the accuracy of fault diagnosis, the BiLSTM layer is introduced into CNN to preserve the global and local features to the maximum extent. The experimental results show that VMD avoids the end effect problem in Empirical Mode Decomposition (EMD). The accuracy rate of the diagnosis model based on CNN-BILSTM reached 97.6667%, which was higher than that of the common diagnosis model. Full article
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<p>Chaos mapping function.</p>
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<p>Standard normal distribution and Cauchy distribution function.</p>
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<p>F1 convergence curves.</p>
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<p>F2 convergence curves.</p>
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<p>F3 convergence curves.</p>
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<p>F4 convergence curves.</p>
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<p>A technical approach for identifying bearing fault problems.</p>
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<p>OCSSA optimizes the VMD algorithm flowchart.</p>
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<p>CNN-BiLSTM model structure.</p>
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<p>The time-domain diagram of four states of bearings (<b>a</b>–<b>d</b>) are normal signal, inner circle malfunction, outer ring fault, and rolling element malfunction, respectively.</p>
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<p>The frequency-domain diagram of four states of bearings (<b>a</b>–<b>d</b>) are normal signal, inner circle malfunction, outer ring fault, and rolling element malfunction, respectively.</p>
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<p>(<b>a</b>,<b>b</b>) Normal state of VMD.</p>
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<p>(<b>a</b>,<b>b</b>) VMD of the inner ring fault.</p>
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<p>(<b>a</b>,<b>b</b>) VMD of the outer ring fault.</p>
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<p>(<b>a</b>,<b>b</b>) Rolling element fault of VMD.</p>
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<p>Experimental results of the fault diagnosis model (<b>a</b>–<b>d</b>) are CNN, BiLSTM, CNN-LSTM, and CNN-BiLSTM, respectively.</p>
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<p>Experimental results of the fault diagnosis model (<b>a</b>–<b>d</b>) are CNN, BiLSTM, CNN-LSTM, and CNN-BiLSTM, respectively.</p>
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<p>Time-frequency-domain waveform diagram of inner ring faulty bearing under different load states.</p>
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<p>Accuracy rates of various algorithms under different load conditions.</p>
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<p>EMD diagram of the simulated signal.</p>
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<p>VMD diagram of the simulated signal.</p>
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<p>VMD diagram for parameter K = 4.</p>
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22 pages, 9488 KiB  
Article
Experimental Study on Drilling Signal Characteristics of PDC Drill Bit in Media of Different Strengths and Identification of Weak Media
by Zheng Wu, Yingbo Fan and Huazhou Chen
Sensors 2024, 24(23), 7852; https://doi.org/10.3390/s24237852 - 8 Dec 2024
Viewed by 674
Abstract
This study aimed to investigate the drilling signal characteristics when a PDC drill bit penetrates media of different strengths and to assess the potential of these signals for identifying weak layers within rock formations. Laboratory-scale experiments were conducted, and the response characteristics of [...] Read more.
This study aimed to investigate the drilling signal characteristics when a PDC drill bit penetrates media of different strengths and to assess the potential of these signals for identifying weak layers within rock formations. Laboratory-scale experiments were conducted, and the response characteristics of the PDC drill bit in different-strength media were analyzed across the time domain, frequency domain, and time–frequency domain using statistical analysis, Fourier transform, and empirical mode decomposition (EMD). The results indicate that in the lowest-strength concrete (C10), the drilling speed was the fastest, while the mean, median, and primary distribution ranges of the thrust and torque were the smallest. Some dimensionless time-domain and frequency-domain indicators were found to have limitations in differentiating media of varying strengths. Meanwhile, the time–frequency analysis and EMD of the thrust and torque signals revealed distinct changes at the media boundaries, serving as auxiliary criteria for identifying transitions between different media. The time–frequency analysis and EMD demonstrated clear advantages in identifying these boundaries. These findings provide a theoretical basis for using drilling signals to identify weak layers that pose potential roof collapse hazards in roadway roof strata. Full article
(This article belongs to the Special Issue Condition Monitoring in Manufacturing with Advanced Sensors)
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<p>Drilling experiment platform and hydraulic anchor drilling rig.</p>
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<p>Schematic diagram of sensor installation positions.</p>
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<p>Schematic diagram of experimental setup for different-strength concrete combinations.</p>
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<p>Time-domain plot of drilling signals.</p>
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<p>Statistical results of thrust, torque, and average drilling speed.</p>
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<p>Statistical results of vibration velocities in the X, Y, and Z directions.</p>
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<p>Standard deviation of drilling signals.</p>
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<p>Time-domain plot of drilling signals.</p>
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<p>Statistical results of thrust, torque, and average drilling speed.</p>
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<p>Statistical results of vibration velocities in the x-, y-, and z-directions.</p>
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<p>Standard deviation of drilling signals.</p>
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<p>Time-domain plot of drilling signals.</p>
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<p>Statistical results of thrust, torque, and average drilling speed.</p>
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<p>Statistical results of vibration velocities in the x-, y-, and z-directions.</p>
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<p>Standard deviation of drilling signals.</p>
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<p>Concatenated drilling signals from specimens of the same strength across different groups. (<b>a</b>) Drilling signal combination for C30 strength. (<b>b</b>) Drilling signal combination for C20 strength. (<b>c</b>) Drilling signal combination for C10 strength.</p>
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<p>Statistical plot of average signal values across different experimental groups.</p>
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<p>Time–frequency analysis of signals in Schemes 1 and 2. (<b>a</b>) Thrust signal in Scheme 1. (<b>b</b>) Thrust signal in Scheme 2. (<b>c</b>) Torque signal in Scheme 1. (<b>d</b>) Torque signal in Scheme 2. (<b>e</b>) Z-axis vibration velocity in Scheme 1. (<b>f</b>) Z-axis vibration velocity in Scheme 2.</p>
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<p>EMD results of drilling signals in Scheme 1. (<b>a</b>) EMD result of thrust signal. (<b>b</b>) EMD result of torque signal. (<b>c</b>) EMD result of z-axis vibration velocity signal.</p>
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<p>EMD results of drilling signals in Scheme 2. (<b>a</b>) EMD result of thrust signal. (<b>b</b>) EMD result of torque signal. (<b>c</b>) EMD result of z-axis vibration velocity signal.</p>
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<p>EMD results of drilling signals in Scheme 2. (<b>a</b>) EMD result of thrust signal. (<b>b</b>) EMD result of torque signal. (<b>c</b>) EMD result of z-axis vibration velocity signal.</p>
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<p>EMD results of drilling signals in Scheme 3. (<b>a</b>) EMD result of thrust signal. (<b>b</b>) EMD result of torque signal. (<b>c</b>) EMD result of z-axis vibration velocity signal.</p>
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<p>EMD results of drilling signals in Scheme 3. (<b>a</b>) EMD result of thrust signal. (<b>b</b>) EMD result of torque signal. (<b>c</b>) EMD result of z-axis vibration velocity signal.</p>
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12 pages, 2538 KiB  
Article
A Fault Diagnosis Method for Turnout Switch Machines Based on Sound Signals
by Yong Li, Xinyi Tao and Yongkui Sun
Electronics 2024, 13(23), 4839; https://doi.org/10.3390/electronics13234839 - 7 Dec 2024
Viewed by 482
Abstract
The turnout switch machine, a vital outdoor component of railway signaling, controls train steering amidst complex operations and high frequencies. Its malfunction significantly disrupts train operations, potentially causing derailments. This paper proposes a sound-based fault diagnosis method, termed ERS (a method combining EMD, [...] Read more.
The turnout switch machine, a vital outdoor component of railway signaling, controls train steering amidst complex operations and high frequencies. Its malfunction significantly disrupts train operations, potentially causing derailments. This paper proposes a sound-based fault diagnosis method, termed ERS (a method combining EMD, ReliefF, and SVM), for effective monitoring and detection of turnout switch machines. The method employs Eigenmode Decomposition (EMD) to smooth the sound signal, reduce noise, and extract key statistical parameters of both the time and frequency domains. To address redundant information in high-dimensional features, the ReliefF algorithm is utilized for feature selection, dimension reduction, and fault classification based on weighted parameters. Subsequently, the selected feature parameters are used to train the Support Vector Machine (SVM). A comparison with results obtained without ReliefF feature selection demonstrates the necessity of this step. The results show that the fault diagnosis accuracy reaches 98% in the positioning work mode and 95.67% in the reversing work mode, verifying the method’s effectiveness and feasibility. Full article
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<p>Execution process of ERS.</p>
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<p>Internal view of the turnout switch machine.</p>
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<p>Ten types of time domain waveforms in the positioning work. Note that the x-coordinate of all figures denotes the time (s).</p>
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<p>The first 16 IMFs of Type A sound signals.</p>
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<p>Confusion matrix (CM) for full-feature testing. Noted: Red numbers denote the accuracy, and the depth of color in the picture indicates the magnitude of the value. (<b>a</b>) Positioning work mode; (<b>b</b>) reversing work mode.</p>
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<p>Confusion matrix (CM) for dimensionality reduction feature testing. Noted: Red numbers denote the accuracy, and the depth of color in the picture indicates the magnitude of the value. (<b>a</b>) Positioning work mode; (<b>b</b>) reversing work mode.</p>
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35 pages, 17290 KiB  
Article
A Feature Extraction Method of Ship Underwater Noise Using Enhanced Peak Cross-Correlation Empirical Mode Decomposition Method and Multi-Scale Permutation Entropy
by Peng Liu, Chen Dai, Shuaiqiang Li, Hui Jin, Xinfu Liu and Guijie Liu
J. Mar. Sci. Eng. 2024, 12(12), 2222; https://doi.org/10.3390/jmse12122222 - 4 Dec 2024
Viewed by 450
Abstract
A feature extraction method based on the combination of improved empirical modal decomposition (IEMD) and multi-scale permutation entropy (MPE) is proposed to address the problem of inaccurate recognition and classification of ship noise signals under complex environmental conditions. In order to eliminate the [...] Read more.
A feature extraction method based on the combination of improved empirical modal decomposition (IEMD) and multi-scale permutation entropy (MPE) is proposed to address the problem of inaccurate recognition and classification of ship noise signals under complex environmental conditions. In order to eliminate the end effects, this paper proposes an extended model based on the principle of peak cross-correlation for improved empirical modal decomposition (EMD). In this paper, the IEMD method is used to decompose three ship underwater noise signals to extract the MPE features of the highest order intrinsic modal function (IMF) of energy. The results show that the IEMD-MPE method performs well in extracting the feature information of the signals and has a strong discriminative ability. Compared with the IEMD-aligned entropy (IEMD-PE) method, which describes the signals only at a single scale, the IEMD-MPE method achieves an improvement in the minimum difference distance ranging from 101.36% to 212.98%. In addition, two sets of highly similar ship propulsion noise signals were applied to validate the IEMD-MPE method, and the minimum differences of the experimental results were 0.0814 and 0.0057 entropy units, which verified the validity and generality of the method. This study provides theoretical support for the development of ship target recognition technology for propulsion. Full article
(This article belongs to the Section Ocean Engineering)
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<p>Overall flow frame diagram.</p>
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<p>Peak location diagram.</p>
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<p>Peak cross-correlation extended signal diagram.</p>
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<p>IEMD flow diagram.</p>
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<p>Original analog signal.</p>
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<p>Comparison between EMD results and original simulated signal diagram: (<b>a</b>) Diagram of EMD-IMF1 against the original signal S1; (<b>b</b>) Diagram of EMD- IMF2 against the original signal S2.</p>
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<p>Extended analog signal: (<b>a</b>) The extended length is the length of the most similar signal segment; (<b>b</b>) the extension length is four times the length of the most similar signal segment; (<b>c</b>) The extension length is five times the length of the most similar signal segment; (<b>d</b>) The extension length is eight times the length of the most similar signal segment.</p>
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<p>IEMD results.</p>
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<p>Comparison between IEMD Results and Original Signal Diagram. (<b>a</b>) Diagram of IEMD-IMF1 against the original signal S1; (<b>b</b>) Diagram of IEMD- IMF2 against the original signal S2.</p>
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<p>Comparison between the decomposition results of the supplementary zero-value signal method and the original analog number diagram: (<b>a</b>) Diagram of IMF1 against the original signal S1; (<b>b</b>) Diagram of IMF2 against the original signal S2.</p>
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<p>Comparison between the decomposition results of the supplementary symmetric signal method and the original analog number diagram: (<b>a</b>) Diagram of IMF1 against the original signal S1; (<b>b</b>) Diagram of IMF2 against the original signal S2.</p>
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<p>Comparison between the decomposition results of the supplementary periodic signal method and the original analog number diagram: (<b>a</b>) Diagram of IMF1 against the original signal S1; (<b>b</b>) Diagram of IMF2 against the original signal S2.</p>
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<p>Comparison of RMSE values.</p>
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<p>Schematic diagram of data acquisition system.</p>
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<p>Waveform diagram of the time domain: (<b>a</b>) cruise ships noise signal; (<b>b</b>) freighters noise signal; (<b>c</b>) state ferries noise signal.</p>
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<p>EMD decomposition results: (<b>a</b>) EMD results of cruise ships noise signal; (<b>b</b>) EMD results of freighters noise signal; (<b>c</b>) EMD results of state ferries noise signal.</p>
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<p>IEMD decomposition results: (<b>a</b>) IEMD results of cruise ships noise signal; (<b>b</b>) IEMD results of freighters noise signal; (<b>c</b>) IEMD results of state ferries noise signal.</p>
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<p>The PE distribution of ship-radiated noise.</p>
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<p>The EMD-PE feature diagram.</p>
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<p>The IEMD-PE feature diagram.</p>
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<p>The VMD-PE feature diagram.</p>
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<p>The previous improved EMD-PE feature diagram.</p>
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<p>The IEMD-SampEn feature diagram.</p>
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<p>The MPE at different time scales.</p>
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<p>The IEMD-MPE feature diagram.</p>
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<p>The minimum value of difference of various entropy characteristics between the underwater noise signals of different ships.</p>
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<p>Propeller underwater noise signal acquisition experimental equipment.</p>
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<p>Waveform of noise signal of different types of thrusters.</p>
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<p>Waveform of noise signal of small thruster at different speeds.</p>
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<p>The PE characteristics of propeller underwater noise signal (<b>a</b>) first group; (<b>b</b>) second group.</p>
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<p>The EMD-PE characteristics of propeller underwater noise signal (<b>a</b>) first group; (<b>b</b>) second group.</p>
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<p>The IEMD-PE characteristics of propeller underwater noise signal (<b>a</b>) first group; (<b>b</b>) second group.</p>
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<p>The IEMD-SampEn characteristics of propeller underwater noise signal (<b>a</b>) first group; (<b>b</b>) second group.</p>
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<p>The IEMD-MPE characteristics at different time scales (<b>a</b>) first group; (<b>b</b>) second group.</p>
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<p>The IEMD-MPE characteristics of propeller underwater noise signal (<b>a</b>) first group; (<b>b</b>) second group.</p>
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<p>The minimum difference between the different entropy characteristics of two groups of propeller noise.</p>
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14 pages, 6124 KiB  
Article
Feature Extraction and Attribute Recognition of Aerosol Particles from In Situ Light-Scattering Measurements Based on EMD-ICA Combined LSTM Model
by Heng Zhao, Yanyan Zhang, Dengxin Hua, Jiamin Fang, Jie Zhang and Zewen Yang
Atmosphere 2024, 15(12), 1441; https://doi.org/10.3390/atmos15121441 - 30 Nov 2024
Viewed by 377
Abstract
Accurate identification and monitoring of aerosol properties is crucial for understanding their sources and impacts on human health and the environment. Therefore, we propose a feature extraction and attribute recognition method from in situ light-scattering measurements based on Bayesian Optimization, wavelet scattering transform, [...] Read more.
Accurate identification and monitoring of aerosol properties is crucial for understanding their sources and impacts on human health and the environment. Therefore, we propose a feature extraction and attribute recognition method from in situ light-scattering measurements based on Bayesian Optimization, wavelet scattering transform, and long short-term memory neural network (BO-WST-LSTM), with empirical mode decomposition (EMD) and independent component analysis (ICA) algorithm for signal preprocessing. In this study, an experimental platform was utilized to gather light-scattering signals from particles with varying characteristics. The signals are then processed using the EMD-ICA noise reduction technique. Then, the wavelet scattering network is used to realize the adaptive extraction of the characteristics of the particle light-scattering signal, and the Bayesian Optimization model is used to optimize the hyperparameters of the LSTM neural network. The extracted scattering coefficient matrix is input into the LSTM for iterative training. Finally, the SoftMax layer’s probability classification method is applied to the identification of particle attributes. The results show that the multi-angle particle light-scattering signal detection system designed and built in this study performs well and is capable of effectively collecting particle light-scattering signals. At the same time, the proposed new method for particle property recognition demonstrates good classification performance for six different types of particles with a particle size of 2 μm, achieving a classification accuracy of 98.83%. This proves its effectiveness in recognizing particle properties and provides a solid foundation for particle identification. Full article
(This article belongs to the Special Issue Characteristics and Control of Particulate Matter)
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<p>Differences in scattering properties of different substances.</p>
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<p>Particle attribute recognition model based on the BO-WST-LSTM network.</p>
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<p>Multi-angle detection of particle light-scattering signal system: (<b>a</b>) Schematic diagram of the platform; (<b>b</b>) Physical diagram of the platform.</p>
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<p>Experimental diagram: (<b>a</b>) Optical path diagram; (<b>b</b>) Local optical path diagram.</p>
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<p>Denoise model based on EMD-ICA.</p>
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<p>The decomposition framework of Wavelet scattering transform.</p>
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<p>Scatter diagram of wavelet scattering of first-order scattering coefficient.</p>
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<p>Scatter diagram of wavelet scattering of second-order scattering coefficient.</p>
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<p>Flowchart of Bayesian Optimization.</p>
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<p>Results of confusion matrix: (<b>a</b>) Confusion matrix of training set; (<b>b</b>) Confusion matrix of test set.</p>
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26 pages, 7725 KiB  
Article
Study on Motion Response Prediction of Offshore Platform Based on Multi-Sea State Samples and EMD Algorithm
by Tianyu Liu, Feng Diao, Wen Yao, Franck Aurel Likeufack Mdemaya and Gang Xu
Water 2024, 16(23), 3441; https://doi.org/10.3390/w16233441 - 29 Nov 2024
Viewed by 595
Abstract
The complexity of offshore operations demands that offshore platforms withstand the variability and uncertainty of marine environments. Consequently, analyses of platform motion responses must extend beyond single sea state conditions. This study employs the Computational Fluid Dynamics (CFDs) software STAR-CCM+ for data acquisition [...] Read more.
The complexity of offshore operations demands that offshore platforms withstand the variability and uncertainty of marine environments. Consequently, analyses of platform motion responses must extend beyond single sea state conditions. This study employs the Computational Fluid Dynamics (CFDs) software STAR-CCM+ for data acquisition and investigates platform motion from two perspectives: adaptability analysis to different wave directions and adaptability analysis to varying significant wave heights. The aim is to develop a model capable of predicting offshore platform motion responses across multiple sea state conditions. The results demonstrate that integrating the empirical mode decomposition (EMD) algorithm with residual convolutional neural networks (ResCNNs) and Long Short-Term Memory (LSTM) networks effectively resolves the challenge of insufficient prediction accuracy under diverse maritime conditions. Following EMD incorporation, the model’s performance within the predictive range was significantly enhanced, with the coefficient of determination (R2) consistently exceeding 0.5, indicating a high degree of model fit to the data. Concurrently, the mean squared error (MSE) and Mean Absolute Percentage Error (MAPE) metrics exhibited commendable performance, further substantiating the model’s precision and reliability. This methodology introduces an innovative approach for forecasting the dynamic responses of offshore structures, providing a more rigorous and accurate foundation for maritime operational decisions. Ultimately, the research enhances the safety and productivity of offshore activities. Full article
(This article belongs to the Section Oceans and Coastal Zones)
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<p>Diagram of one-dimensional convolution operation [<a href="#B32-water-16-03441" class="html-bibr">32</a>].</p>
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<p>Computational flow graph of ResCNN−LSTM.</p>
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<p>Model diagram of the semi-submersible offshore platform.</p>
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<p>Numerical computation field. (<b>a</b>) Distribution diagram of water and gas phases; (<b>b</b>) flow field propagation.</p>
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<p>Grid division situation. (<b>a</b>) Model encryption. (<b>b</b>) Flow field encryption.</p>
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<p>Time history curve of local motion in working condition one. (<b>a</b>) Local diagram of 100−140 s heave motion. (<b>b</b>) Local diagram of 100−140 s pitch motion.</p>
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<p>Time history curve of local motion in working condition two. (<b>a</b>) Local diagram of 100−140 s heave motion. (<b>b</b>) Local diagram of 100−140 s pitch motion.</p>
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<p>Diagram of individual predictions on the test set. (<b>a</b>) Single sample of 0−degree incident angle heave test set, (<b>b</b>) 0−degree incident angle pitch test set single sample, (<b>c</b>) 45−degree incident angle heave test set single sample, and (<b>d</b>) 45−degree incident angle pitch test set single sample.</p>
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<p>R<sup>2</sup> comparison diagram.</p>
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<p>Time history curve of local motion in working condition one. (<b>a</b>) Local diagram of 100−140 s heave motion. (<b>b</b>) Local diagram of 100−140 s pitch motion.</p>
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<p>Time history curve of local motion in working condition two. (<b>a</b>) Local diagram of 100−140 s heave motion. (<b>b</b>) Local diagram of 100−140 s pitch motion.</p>
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<p>Diagram of individual predictions on the test set. (<b>a</b>) Heave test set single sample (H1/3 = 0.07 m). (<b>b</b>) Pitch test set single sample (H1/3 = 0.07 m). (<b>c</b>) Heave test set single sample (H1/3 = 0.1 m). (<b>d</b>) Pitch test set single sample (H1/3 = 0.1 m).</p>
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<p>R<sup>2</sup> comparison diagram.</p>
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<p>EMD algorithm decomposition flow chart.</p>
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<p>Prediction process and model structure. (<b>a</b>) Prediction process; (<b>b</b>) EMD-ResCNN-LSTM model flow chart.</p>
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<p>Original signal and reconstructed signal.</p>
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<p>Empirical mode decomposition results of heave motion in condition one. (<b>a</b>) Input signal (0−250 s), (<b>b</b>) input signal (250−500 s), (<b>c</b>) IMF1 (0−250 s), (<b>d</b>) IMF1 (250−500 s), (<b>e</b>) IMF2 (0−500 s), (<b>f</b>) IMF3 (0−500 s), (<b>g</b>) IMF4 (0−500 s), (<b>h</b>) IMF5 (0−500 s), (<b>i</b>) IMF6 (0−500 s), (<b>j</b>) IMF7 (0−500 s), and (<b>k</b>) residual (0−500 s).</p>
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<p>Empirical mode decomposition results of heave motion in condition one. (<b>a</b>) Input signal (0−250 s), (<b>b</b>) input signal (250−500 s), (<b>c</b>) IMF1 (0−250 s), (<b>d</b>) IMF1 (250−500 s), (<b>e</b>) IMF2 (0−500 s), (<b>f</b>) IMF3 (0−500 s), (<b>g</b>) IMF4 (0−500 s), (<b>h</b>) IMF5 (0−500 s), (<b>i</b>) IMF6 (0−500 s), (<b>j</b>) IMF7 (0−500 s), and (<b>k</b>) residual (0−500 s).</p>
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<p>Empirical mode decomposition results of heave motion in condition one. (<b>a</b>) Input signal (0−250 s), (<b>b</b>) input signal (250−500 s), (<b>c</b>) IMF1 (0−250 s), (<b>d</b>) IMF1 (250−500 s), (<b>e</b>) IMF2 (0−500 s), (<b>f</b>) IMF3 (0−500 s), (<b>g</b>) IMF4 (0−500 s), (<b>h</b>) IMF5 (0−500 s), (<b>i</b>) IMF6 (0−500 s), (<b>j</b>) IMF7 (0−500 s), and (<b>k</b>) residual (0−500 s).</p>
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<p>Single sample from heave test set of operational condition one. (<b>a</b>) 425−431 s; (<b>b</b>) 474−480 s.</p>
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<p>Single sample from pitch test set of operational condition one. (<b>a</b>) 400−406 s; (<b>b</b>) 480−486 s.</p>
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<p>Single sample from heave test set of operational condition two. (<b>a</b>) 435−441 s; (<b>b</b>) 460−466 s.</p>
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<p>Single sample from pitch test set of operational condition two. (<b>a</b>) 410−416 s; (<b>b</b>) 450−456 s.</p>
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<p>Heave R<sup>2</sup> comparison diagram.</p>
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<p>Pitch R<sup>2</sup> comparison diagram.</p>
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17 pages, 3696 KiB  
Article
Operational Modal Analysis of Civil Engineering Structures with Closely Spaced Modes Based on Improved Hilbert–Huang Transform
by Xu-Qiang Shang, Tian-Li Huang, Yi-Bin He and Hua-Peng Chen
Sensors 2024, 24(23), 7600; https://doi.org/10.3390/s24237600 - 28 Nov 2024
Viewed by 555
Abstract
In long-span bridges and high-rise buildings, closely spaced modes are commonly observed, which greatly increases the challenge of identifying modal parameters. Hilbert–Huang transform (HHT), a widely used method for modal parameter identification, first applies empirical mode decomposition (EMD) to decompose the acquired response [...] Read more.
In long-span bridges and high-rise buildings, closely spaced modes are commonly observed, which greatly increases the challenge of identifying modal parameters. Hilbert–Huang transform (HHT), a widely used method for modal parameter identification, first applies empirical mode decomposition (EMD) to decompose the acquired response and then uses the Hilbert transform (HT) to identify the modal parameters. However, the problem is that the deficiency of mode separation of EMD in HHT limits its application for structures with closely spaced modes. In this study, an improved HHT based on analytical mode decomposition (AMD) is proposed and is used to identify the modal parameters of structures with closely spaced modes. In the improved HHT, AMD is first employed to replace EMD for decomposing the measured response into several mono-component modes. Then, the random decrement technique is applied to the decomposed mono-component modes to obtain the free decay responses. Furthermore, the resulting free decay responses are analyzed by HT to estimate the modal parameters of structures with closely spaced modes. Examples of a simple three-degree-of-freedom system with closely spaced modes, a high-rise building under ambient excitation, and the Ting Kau bridge under typhoon excitations are adopted to validate the accuracy, effectiveness, and applicability of the proposed method. The results demonstrate that the proposed method can efficiently and accurately identify the natural frequencies and damping ratios of structures with closely spaced modes. Moreover, its identification results are more precise compared to those obtained using existing methods. Full article
(This article belongs to the Section Sensing and Imaging)
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<p>Flowchart of IHHT-based modal identification of structures with closely spaced modes.</p>
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<p>The simulated 3-DOF spring-mass system.</p>
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<p>(<b>a</b>) The recorded acceleration response and (<b>b</b>) its corresponding spectrum.</p>
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<p>(<b>a</b>) The decomposed modes by EMD and (<b>b</b>) their Fourier spectrum.</p>
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<p>(<b>a</b>) The decomposed modes by AMD and (<b>b</b>) their Fourier spectrum.</p>
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<p>Logarithmic amplitude and phase curves in 3-DOF system: (<b>a</b>) mode 1, (<b>b</b>) mode 2, and (<b>c</b>) mode 3.</p>
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<p>The simulated high-rise building with four additional lightweight appendages.</p>
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<p>(<b>a</b>) The acceleration time history at the top of the lightweight appendage and (<b>b</b>) its corresponding Fourier spectrum.</p>
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<p>(<b>a</b>) The decomposed mono-component modes by AMD and (<b>b</b>) their Fourier spectrum.</p>
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<p>Logarithmic amplitude and phase curves in high-rise building: (<b>a</b>) mode 1, (<b>b</b>) mode 2, (<b>c</b>) mode 3, and (<b>d</b>) mode 4.</p>
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<p>(<b>a</b>) Ting Kau Bridge and (<b>b</b>) layout of accelerometers installed on bridge deck.</p>
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<p>(<b>a</b>) The measured acceleration time histories by accelerometer 17 and (<b>b</b>) its corresponding Fourier spectrum.</p>
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<p>The obtained free decay response by RDT: (<b>a</b>) mode 1, (<b>b</b>) mode 2, and (<b>c</b>) mode 3.</p>
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<p>The logarithmic amplitude and phase curves using the data from sensor 10: (<b>a</b>) mode 1, (<b>b</b>) mode 2, and (<b>c</b>) mode 3.</p>
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21 pages, 6132 KiB  
Article
Self-Sensing Approach for Semi-Active Control of Variable Damping Electromagnetic Suspension System
by Chao Fu, Pengfei Liu, Jianqiang Yu, An Qin and Donghong Ning
Actuators 2024, 13(12), 480; https://doi.org/10.3390/act13120480 - 27 Nov 2024
Viewed by 444
Abstract
This paper combines the Kalman filter observer with self-sensing technology and integrates it into the electromagnetic damper (EMD), estimating the displacement and velocity of the EMD based on the three-phase voltage generated by the permanent magnet synchronous motor (PMSM). The self-sensing performance of [...] Read more.
This paper combines the Kalman filter observer with self-sensing technology and integrates it into the electromagnetic damper (EMD), estimating the displacement and velocity of the EMD based on the three-phase voltage generated by the permanent magnet synchronous motor (PMSM). The self-sensing performance of the EMD is verified through theoretical analysis and experimental results. A vehicle suspension vibration control system composed of one-quarter vehicle electromagnetic suspension (EMS), a acceleration damping driven control (ADDC) algorithm, and a vibration excitation platform is established to test the vibration control performance of the self-sensing EMS. The experimental results show that under random road excitation, compared to passive suspension, the self-sensing-based ADDC reduced the vehicle vertical acceleration of the vehicle suspension, with a 28.92% decrease in the root mean square (RMS) value of the vehicle vertical acceleration. This verifies the effectiveness of the self-sensing capability of the EMS system. Incorporating self-sensing technology into the EMS system improves the vibration reduction performance of the suspension. Full article
(This article belongs to the Special Issue Modeling and Control for Chassis Devices in Electric Vehicles)
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<p>EMD suspension system structure.</p>
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<p>Equivalent principle of the PMSM circuit.</p>
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<p>Characteristic testing of EMD.</p>
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<p>Characteristic curves of EMD: (<b>a</b>) force-displacement characteristic curves; (<b>b</b>) force-velocity characteristic curves.</p>
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<p>(<b>a</b>) Voltage variation curves; (<b>b</b>) current variation curves.</p>
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<p>A/B phase pulse: (<b>a</b>) phase A leads phase B; (<b>b</b>) phase B leads phase A.</p>
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<p>Self-sensing working principle.</p>
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<p>Voltage pulse signal of the stationary coordinate system.</p>
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<p>Comparison between estimated value and actual value under sine excitation: (<b>a</b>) displacement; (<b>b</b>) velocity.</p>
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<p>Self-sensing variable damping EMD suspension system.</p>
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<p>Comparison between estimated value and actual value under sine excitation: (<b>a</b>) 10 mm 1.5 Hz low-frequency sine; (<b>b</b>) 1 mm 10 Hz high-frequency sine.</p>
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<p>Comparison between estimated value and actual value.</p>
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<p>One-quarter vehicle 2-degree-of-freedom suspension system model: (<b>a</b>) ideal acceleration damping suspension; (<b>b</b>) EMS.</p>
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<p>The control logic of the VD-EMS.</p>
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<p>EMS test system.</p>
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<p>Comparison between estimated value and actual value under sine excitation.</p>
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<p>Force track performance under sine excitation.</p>
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<p>Vehicle vertical acceleration under sine excitation.</p>
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<p>Suspension travel under sine excitation.</p>
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<p>Comparison between estimated value and actual value under random road excitation.</p>
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<p>Force track performance under random road excitation.</p>
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<p>Vehicle vertical acceleration under random road excitation.</p>
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<p>Suspension travel under random road excitation.</p>
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<p>Evaluation parameters of vehicle vertical acceleration.</p>
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