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33 pages, 9160 KiB  
Article
Optimized Analytical–Numerical Procedure for Ultrasonic Sludge Treatment for Agricultural Use
by Filippo Laganà, Salvatore A. Pullano, Giovanni Angiulli and Mario Versaci
Algorithms 2024, 17(12), 592; https://doi.org/10.3390/a17120592 - 21 Dec 2024
Viewed by 457
Abstract
This paper presents an integrated approach based on physical–mathematical models and numerical simulations to optimize sludge treatment using ultrasound. The main objective is to improve the efficiency of the purification system by reducing the weight and moisture of the purification sludge, therefore ensuring [...] Read more.
This paper presents an integrated approach based on physical–mathematical models and numerical simulations to optimize sludge treatment using ultrasound. The main objective is to improve the efficiency of the purification system by reducing the weight and moisture of the purification sludge, therefore ensuring regulatory compliance and environmental sustainability. A coupled temperature–humidity model, formulated by partial differential equations, describes materials’ thermal and water evolution during treatment. The numerical resolution, implemented by the finite element method (FEM), allows the simulation of the system behavior and the optimization of the operating parameters. Experimental results confirm that ultrasonic treatment reduces the moisture content of sludge by up to 20% and improves its stability, making it suitable for agricultural applications or further treatment. Functional controls of sonication and the reduction of water content in the sludge correlate with the obtained results. Ultrasound treatment has been shown to decrease the specific weight of the sludge sample both in pretreatment and treatment, therefore improving stabilization. In various experimental conditions, the weight of the sludge is reduced by a maximum of about 50%. Processed sludge transforms waste into a resource for the agricultural sector. Treatment processes have been optimized with low-energy operating principles. Additionally, besides utilizing energy-harvesting technology, plant operating processes have been optimized, accounting for approximately 55% of the consumption due to the aeration of active sludge. In addition, an extended analysis of ultrasonic wave propagation is proposed. Full article
(This article belongs to the Special Issue Numerical Optimization and Algorithms: 3rd Edition)
20 pages, 2164 KiB  
Article
The Effects of Ultrasound on the Rehydration of Konjac Glucomannan/Soy Protein Isolate Gel and Simulation of Gas-Liquid Interface Evolution During the Rehydration Process
by Jiqiang Yan, Shizhong Jiang, Qin Wang, OuJun Dai, Zhuoer Yang, Biyao Huang, Ruoyu Huang, Zhenghao Chi, Yilan Sun and Jie Pang
Foods 2024, 13(24), 4136; https://doi.org/10.3390/foods13244136 - 20 Dec 2024
Viewed by 473
Abstract
Soy protein isolate (SPI) possesses potential gelling properties, making it suitable for gel-based applications. However, the gel network stability and mechanical properties of SPI are relatively poor and can be improved through modifications or by combining it with other polymers, such as Konjac [...] Read more.
Soy protein isolate (SPI) possesses potential gelling properties, making it suitable for gel-based applications. However, the gel network stability and mechanical properties of SPI are relatively poor and can be improved through modifications or by combining it with other polymers, such as Konjac Glucomannan (KGM). Combining SPI with KGM can overcome the poor gel network stability and mechanical properties of SPI, but it reduces the water-absorbing capacity of the gel network after drying, which affects the quality characteristics of plant-based protein rehydrated foods and limits the economic feasibility of soy protein foods. In this study, SPI and KGM are the main research objects. By using the alkali method to construct SPI/KGM dry gels with good gel properties, the influence of different ultrasonic powers on the rehydration kinetics and performance changes of SPI/KGM dry gels is examined. The speed and state of water entering the pores are simulated by constructing different pore-size capillary filling models, and the rehydration mechanism of the gel is elucidated. This study provides research ideas and a theoretical basis for the application of ultrasonic wave technology in the study of dry product rehydration performance. Full article
(This article belongs to the Section Food Engineering and Technology)
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<p>Axisymmetric geometry model for pore rehydration process.</p>
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<p>SPI/KGM Dry gel rehydration curves and water retention images. (<b>a</b>) Rehydration curves of SPI/KGM dry gel at different ultrasonic power levels. The lines represent rehydration at different ultrasonic power levels (0 W, 525 W, 600 W, 675 W, 750 W). (<b>b</b>) Effect of Ultrasonic Power on Water-Holding Capacity (WHC) of SPI/KGM hydrogels. Different letters above bars indicate significant differences (<span class="html-italic">p</span> &lt; 0.05).</p>
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<p>Model fit of SPI/KGM gel rehydration data to the first-order kinetic model.</p>
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<p>Fitting of SPI/KGM gel rehydration data to the Peleg model.</p>
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<p>Fitting of SPI/KGM gel rehydration data to the Weibull model.</p>
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<p>Low-field NMR relaxation time distribution of SPI/KGM dry gel under different ultrasonic power levels.</p>
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<p>Moisture migration under ultrasonic rehydration conditions.</p>
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<p>SPI/KGM infrared spectra and secondary structure impact diagram. (<b>a</b>) Fourier transform infrared spectrum of the SPI/KGM ultrasonic rehydrated gel, with different colors representing varying ultrasonic power levels (0 W: black, 525 W: red, 600 W: blue, 675 W: green, 725 W: yellow). (<b>b</b>) Effect of ultrasonic treatment on the secondary structure of the SPI/KGM gel, where purple indicates β-bend, green indicates α-helix, blue indicates random coil, and red indicates β-pleated sheet.</p>
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<p>Microstructure of SPI/KGM gel after sonication.</p>
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<p>Interface location within 0.65 ms for a pore with radius R1. (Blue represents water, red represents dry gel.)</p>
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<p>Simulation results showing the evolution of the interface with pore size as a variable. (<b>a</b>) Interface position for different pore size models at T = 0.2 ms. (<b>b</b>) Temporal variation of the interface/wall contact point position for different pore size definitions. (Blue represents water, red represents dry gel.)</p>
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<p>Internal pressures of different aperture models at T = 0.2 ms. (<b>a</b>) internal pressure with radius 69.11, (<b>b</b>) internal pressure with radius 41.67, and (<b>c</b>) internal pressure with radius 73.39.</p>
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12 pages, 6050 KiB  
Article
Nondestructive Monitoring of Textile-Reinforced Cementitious Composites Subjected to Freeze–Thaw Cycles
by Nicolas Ospitia, Ali Pourkazemi, Eleni Tsangouri, Thaer Tayeh, Johan H. Stiens and Dimitrios G. Aggelis
Materials 2024, 17(24), 6232; https://doi.org/10.3390/ma17246232 - 20 Dec 2024
Viewed by 315
Abstract
Cementitious materials are susceptible to damage not only from mechanical loading, but also from environmental (physical, chemical, and biological) factors. For Textile-Reinforced Cementitious (TRC) composites, durability poses a significant challenge, and a reliable method to assess long-term performance is still lacking. Among various [...] Read more.
Cementitious materials are susceptible to damage not only from mechanical loading, but also from environmental (physical, chemical, and biological) factors. For Textile-Reinforced Cementitious (TRC) composites, durability poses a significant challenge, and a reliable method to assess long-term performance is still lacking. Among various durability attacks, freeze–thaw can induce internal cracking within the cementitious matrix, and weaken the textile–matrix bond. Such cracks result from hydraulic, osmotic, and crystallization pressure arising from the thermal cycles, leading to a reduction in the stiffness in the TRC composites. Early detection of freeze–thaw deterioration can significantly reduce the cost of repair, which is only possible through periodic, full-field monitoring of the composite. Full-field monitoring provides a comprehensive view of the damage distribution, offering valuable insights into the causes and progression of damage. The crack location, size, and pattern give more information than that offered by single-point measurement. While visual inspections are commonly employed for crack assessment, they are often time-consuming. Technological advances now enable crack pattern classification based on high-quality surface images; however, these methods only provide information limited to the surface. Elastic wave-based non-destructive testing (NDT) methods are highly sensitive to the material’s mechanical properties, and therefore are widely used for damage monitoring. On the other hand, electromagnetic wave-based NDTs offer the advantage of fast, non-contact measurements. Micro- and millimeter wave frequencies offer a balance of high resolution and wave penetration, although they have not yet been sufficiently explored for detecting damage in cementitious composites. In this study, TRC specimens were subjected to up to 150 freeze–thaw cycles and monitored using a combination of active elastic and electromagnetic wave-based NDT mapping methods. For this purpose, transmission measurements were conducted at multiple points, with ultrasonic pulse velocity (UPV) employed as a benchmark and, for the first time, millimeter wave (MMW) spectrometry applied. This multi-modal mapping approach enabled the tracking of damage progression, and the identification of degraded zones. Full article
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<p>(<b>a</b>) Experimental setup and (<b>b</b>) freeze–thaw cycles [<a href="#B30-materials-17-06232" class="html-bibr">30</a>].</p>
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<p>TRC composite measurement point distribution.</p>
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<p>Experimental setup for (<b>a</b>) MMW spectrometry and (<b>b</b>) UPV.</p>
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<p>Four-point bending of TRC specimens.</p>
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<p>(<b>a</b>) Mass loss of TRC specimens vs. freeze–thaw cycles and (<b>b</b>) average load vs. vertical displacement (<b>c</b>) k1 and (<b>d</b>) k3 stiffness.</p>
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<p>(<b>a</b>) Mass loss of TRC specimens vs. freeze–thaw cycles and (<b>b</b>) average load vs. vertical displacement (<b>c</b>) k1 and (<b>d</b>) k3 stiffness.</p>
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<p>(<b>a</b>) Average UPV versus freeze–thaw cycles, (<b>b</b>) textile debonding, and (<b>c</b>) degraded surface shown as pop-outs caused by 50 freeze–thaw cycles.</p>
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<p>Average (<b>a</b>) S<sub>21</sub>, (<b>b</b>) real (ε′r), and (<b>c</b>) imaginary components of relative permittivity (ε″r) for TRC specimens subjected to freeze–thaw cycles.</p>
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<p>Distribution of UPV for 0, 50, 100, and 150 freeze–thaw cycles.</p>
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<p>Indicative TRC specimen after 50 freeze–thaw cycles.</p>
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<p>Distribution of ε′r for 0, 50, 100, and 150 freeze–thaw cycles.</p>
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<p>Distribution of ε″r for 0, 50, 100, and 150 freeze–thaw cycles.</p>
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<p>Average real and imaginary permittivity of TRC specimen with varying RH.</p>
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16 pages, 2846 KiB  
Article
Development of Single-Walled Carbon Nanotube-Based Electrodes with Enhanced Dispersion and Electrochemical Properties for Blood Glucose Monitoring
by Dong-Sup Kim, Abdus Sobhan, Jun-Hyun Oh, Jahyun Lee, Chulhwan Park and Jinyoung Lee
Biosensors 2024, 14(12), 630; https://doi.org/10.3390/bios14120630 - 19 Dec 2024
Viewed by 307
Abstract
The evolution of high-performance electrode materials has significantly impacted the development of real-time monitoring biosensors, emphasizing the need for compatibility with biomaterials and robust electrochemical properties. This work focuses on creating electrode materials utilizing single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs), [...] Read more.
The evolution of high-performance electrode materials has significantly impacted the development of real-time monitoring biosensors, emphasizing the need for compatibility with biomaterials and robust electrochemical properties. This work focuses on creating electrode materials utilizing single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs), specifically examining their dispersion behavior and electrochemical characteristics. By using ultrasonic waves, we analyzed the dispersion of CNTs in various solvents, including N, N-dimethylformamide (DMF), deionized water (DW), ethanol, and acetone. The findings revealed that SWCNTs achieved optimal dispersion without precipitation in DMF. Additionally, we observed that the electrical resistance decreased as the concentration of SWCNTs increased from 0.025 to 0.4 g/L, with significant conductivity enhancements noted between 0.2 g/L and 0.4 g/L in DMF. In constructing the biosensor platform, we employed 1-pyrenebutanoic acid succinimidyl ester (PBSE) as a linker molecule, while glucose oxidase (Gox) served as the binding substrate. The interaction between Gox and glucose led to a notable decrease in the biosensor’s resistance values as glucose concentrations ranged from 0.001 to 0.1 M. These results provide foundational insights into the development of SWCNT-based electrode materials and suggest a promising pathway toward the next generation of efficient and reliable biosensors. Full article
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<p>Experimental scheme of the CNT dispersion in various solvents (DMF, acetone, DW, and ethanol) and degree of dispersion measured with UV–Vis and electro resistance.</p>
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<p>Manufacturing process of biosensor electrode using SWCNTs compared with MWCNTs. (<b>a</b>) The visual outcomes of the dispersion process with SWCNTs compared with MWCNTs following a 2 h ultrasonication process in different solvents: DMF, ethanol, DW, and acetone. (<b>b</b>) Adsorption process of SWCNTs compared with MWCNTs onto electrodes.</p>
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<p>Morphological analysis of SWCNTs and MWCNTs using SEM: (<b>a</b>,<b>b</b>) SWCNTs; (<b>c</b>,<b>d</b>) MWCNTs.</p>
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<p>UV–Vis spectrum of DMF and DW aqueous dispersions of the (<b>a</b>) SWCNT and (<b>b</b>) MWCNT.</p>
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<p>Electrical resistance measurement of different SWCNT concentrations (0.025, 0.05, 0.1, 0.2, and 0.4 g/L).</p>
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<p>Resistance of SWCNT-based biosensor reacted with different PBSE linker concentrations (1.0, 2.0, 4.0, 6.0, and 8.0 g/L).</p>
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<p>Resistance of SWCNT–PBSE biosensor reacted with different concentrations of Gox (0.01, 0.05, 0.1, 0.2, and 0.5 g/L).</p>
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<p>Measurement of electrical resistance sensing different glucose concentrations (0.001, 0.005, 0.01, 0.05, and 0.1 M).</p>
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<p>Electrical resistance measurements for glucose, lactic acid, and urea at 0.1 M concentration.</p>
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21 pages, 6455 KiB  
Article
Determination of Crack Depth in Brickworks by Ultrasonic Methods: Numerical Simulation and Regression Analysis
by Alexey N. Beskopylny, Sergey A. Stel’makh, Evgenii M. Shcherban’, Vasilii Dolgov, Irina Razveeva, Nikita Beskopylny, Diana Elshaeva and Andrei Chernil’nik
J. Compos. Sci. 2024, 8(12), 536; https://doi.org/10.3390/jcs8120536 - 16 Dec 2024
Viewed by 504
Abstract
Ultrasonic crack detection is one of the effective non-destructive methods of structural health monitoring (SHM) of buildings and structures. Despite its widespread use, crack detection in porous and heterogeneous composite building materials is an insufficiently studied issue and in practice leads to significant [...] Read more.
Ultrasonic crack detection is one of the effective non-destructive methods of structural health monitoring (SHM) of buildings and structures. Despite its widespread use, crack detection in porous and heterogeneous composite building materials is an insufficiently studied issue and in practice leads to significant errors of more than 40%. The purpose of this article is to study the processes occurring in ceramic bricks weakened by cracks under ultrasonic exposure and to develop a method for determining the crack depth based on the characteristics of the obtained ultrasonic response. At the first stage, the interaction of the ultrasonic signal with the crack and the features of the pulse propagation process in ceramic bricks were considered using numerical modeling with the ANSYS environment. The FEM model allowed us to identify the characteristic aspects of wave propagation in bricks and compare the solution with the experimental one for the reference sample. Further experimental studies were carried out on ceramic bricks, as the most common elements of buildings and structures. A total of 110 bricks with different properties were selected. The cracks were natural or artificially created and were of varying depth and width. The experimental data showed that the greatest influence on the formation of the signal was exerted by the time parameters of the response: the time when the signal reaches a value of 12 units, the time of reaching the first maximum, the time of reaching the first minimum, and the properties of the material. Based on the regression analysis, a model was obtained that relates the crack depth to the signal parameters and the properties of the material. The error in the predicted values according to this model was approximately 8%, which was significantly more accurate than the existing approach. Full article
(This article belongs to the Special Issue Theoretical and Computational Investigation on Composite Materials)
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<p>Appearance of experimental samples of bricks with cracks of different depths.</p>
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<p>The process of detecting cracks in bricks using the Pulsar-2.2 ultrasonic device.</p>
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<p>Scheme of installation of sensors for measuring crack depth.</p>
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<p>General diagram of a block with a crack: 1—point of pulse application; 2—location of the ultrasonic signal receiver.</p>
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<p>Comparison of experimental and numerical simulation results (Plexiglas material is the reference sample).</p>
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<p>Wave propagation in a plexiglass block at the moments of time (<b>a</b>) <span class="html-italic">t</span> = 2 µs, (<b>b</b>) <span class="html-italic">t</span> = 8 µs, (<b>c</b>) <span class="html-italic">t</span> = 16 µs, and (<b>d</b>) <span class="html-italic">t</span> = 30 µs.</p>
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<p>Wave propagation in a plexiglass block at the moments of time (<b>a</b>) <span class="html-italic">t</span> = 2 µs, (<b>b</b>) <span class="html-italic">t</span> = 8 µs, (<b>c</b>) <span class="html-italic">t</span> = 16 µs, and (<b>d</b>) <span class="html-italic">t</span> = 30 µs.</p>
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<p>Successive development of von Mises stresses in a brick weakened by a crack at different points in time: (<b>a</b>) <span class="html-italic">t</span> = 9.5 µs, (<b>b</b>) <span class="html-italic">t</span> = 13.5 µs, (<b>c</b>) <span class="html-italic">t</span> = 17.5 µs, (<b>d</b>) <span class="html-italic">t</span> = 21.5 µs, (<b>e</b>) <span class="html-italic">t</span> = 23.5 µs, and (<b>f</b>) <span class="html-italic">t</span> = 47.5 µs.</p>
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<p>Successive development of von Mises stresses in a brick weakened by a crack at different points in time: (<b>a</b>) <span class="html-italic">t</span> = 9.5 µs, (<b>b</b>) <span class="html-italic">t</span> = 13.5 µs, (<b>c</b>) <span class="html-italic">t</span> = 17.5 µs, (<b>d</b>) <span class="html-italic">t</span> = 21.5 µs, (<b>e</b>) <span class="html-italic">t</span> = 23.5 µs, and (<b>f</b>) <span class="html-italic">t</span> = 47.5 µs.</p>
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<p>Successive development of von Mises stresses in a brick weakened by a crack at different points in time: (<b>a</b>) <span class="html-italic">t</span> = 9.5 µs, (<b>b</b>) <span class="html-italic">t</span> = 13.5 µs, (<b>c</b>) <span class="html-italic">t</span> = 17.5 µs, (<b>d</b>) <span class="html-italic">t</span> = 21.5 µs, (<b>e</b>) <span class="html-italic">t</span> = 23.5 µs, and (<b>f</b>) <span class="html-italic">t</span> = 47.5 µs.</p>
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<p>Dependence of UY displacements at the receiving point on the pulse propagation time: 1—without defect; 2—crack 20 mm deep; 3—crack 60 mm deep.</p>
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<p>Comparison of ultrasonic pulse signals for different crack depths.</p>
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<p>Characteristic parameters of the signal used to determine the crack depth.</p>
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<p>Experimental and predicted values for averaged parameters.</p>
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<p>Experimental and predicted values for averaged parameters taking into account the material properties.</p>
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17 pages, 7653 KiB  
Article
Research on Wireless Passive Ultrasonic Thickness Measurement Technology Based on Pulse Compression Method
by Long Pan, Kunsan Shi, Lei Han, Dingrong Qu, Yanling Zhang and Wenwu Chen
Sensors 2024, 24(24), 8023; https://doi.org/10.3390/s24248023 - 16 Dec 2024
Viewed by 300
Abstract
Fixed-point thickness measurement is commonly used in corrosion detection within petrochemical enterprises, but it suffers from low detection efficiency for localized thinning, limitations regarding measurement locations, and high equipment costs due to insulation and cooling layers. To address these challenges, this paper introduces [...] Read more.
Fixed-point thickness measurement is commonly used in corrosion detection within petrochemical enterprises, but it suffers from low detection efficiency for localized thinning, limitations regarding measurement locations, and high equipment costs due to insulation and cooling layers. To address these challenges, this paper introduces a wireless passive ultrasonic thickness measurement technique based on a pulse compression algorithm. The research methodology encompassed the development of mathematical and circuit models for single coil and wireless energy transmission, the proposal of a three-terminal wireless energy mutual coupling system, and the establishment of a finite element model simulating the ultrasonic body wave thickness measurement and wireless energy transmission system. An experimental setup was constructed to conduct thickness measurements on metal samples varying in thickness, shape, and material composition. The experimental findings revealed that the wireless ultrasonic echo signal, when processed using the pulse compression algorithm, achieved a thickness measurement accuracy approximately ten times superior to that of the untreated echo signal. This significant improvement in accuracy facilitates the high-density deployment of thickness measurement points in petrochemical applications. Full article
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<p>Ultrasonic thickness measurement based on wireless energy transmission.</p>
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<p>Coil models: (<b>a</b>) physical model, (<b>b</b>) circuit model.</p>
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<p>Circular PCB coil structure.</p>
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<p>Three-coil coupled circuit model.</p>
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<p>Two-dimensional ultrasonic body wave thickness measurement model. (<b>a</b>) Simulation modeling of the sensor and experimental sample (<b>b</b>) Meshing of the simulation model. The model consists of three layers from top to bottom, including the piezoelectric layer, the matching layer, and the specimen to be tested. In terms of specific physical field settings, the “Solid Mechanics” field was applied to all three parts, while “Electrostatics” was applied exclusively to the piezoelectric layer.</p>
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<p>Coil parameterized scanning simulation diagram.</p>
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<p>Test system composition.</p>
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<p>Simulation diagram of ultrasonic propagation in different metal plates at different times.</p>
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<p>Transducer signal under aluminum plates of different thicknesses (<b>a</b>) before and (<b>b</b>) after removing crosstalk, and under steel plates of different thicknesses (<b>c</b>) before and (<b>d</b>) after removing crosstalk.</p>
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<p>Simulation diagram of ultrasonic propagation in different metal tubes at different times.</p>
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<p>Transducer signal under aluminum pipes of different thicknesses (<b>a</b>) before and (<b>b</b>) after removing crosstalk and under steel pipes of different thicknesses (<b>c</b>) before and (<b>d</b>) after removing crosstalk.</p>
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<p>Transducer-received signals in different materials: (<b>a</b>) original received signal from a 10 mm aluminum plate; (<b>b</b>) original received signal from a 10 mm steel plate.</p>
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<p>Echo signals from (<b>a</b>) a 10 mm aluminum plate and (<b>b</b>) a 10 mm steel plate after crosstalk removal.</p>
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<p>Pulse compression echo signals from (<b>a</b>) a 10 mm aluminum plate and (<b>b</b>) a 10 mm steel plate after crosstalk removal.</p>
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<p>The results of wireless passive thickness measurement data of samples with different materials, shapes, and thicknesses processed by pulse compression algorithm.</p>
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<p>Screenshot of the upper computer interface for thickness measurement algorithm.</p>
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<p>Comparison of thickness measurement results between pulse compressed echo signal and unprocessed echo signal.</p>
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18 pages, 8713 KiB  
Article
Smoke Precipitation by Exposure to Dual-Frequency Ultrasonic Oscillations
by Vladimir Khmelev, Andrey Shalunov, Sergey Tsyganok and Pavel Danilov
Fire 2024, 7(12), 476; https://doi.org/10.3390/fire7120476 - 15 Dec 2024
Viewed by 302
Abstract
The analysis conducted herein has shown that the efficiency of smoke precipitation can be improved by additionally making smoke particles interact with ultrasonic (US) oscillations. Because the efficiency of US coagulation lowers when small particles assemble into agglomerates, the authors of this work [...] Read more.
The analysis conducted herein has shown that the efficiency of smoke precipitation can be improved by additionally making smoke particles interact with ultrasonic (US) oscillations. Because the efficiency of US coagulation lowers when small particles assemble into agglomerates, the authors of this work have suggested studying how smoke particles interact with complex sound fields. The fields are formed by at least two US transducers which work at a similar frequency or on frequencies with small deviations. To form these fields, high-efficiency bending wave ultrasonic transducers have been developed and suggested. It has been shown that a complex ultrasonic field significantly enhances smoke precipitation. The field in question was constructed by simultaneously emitting 22 kHz US oscillations with a sound pressure level no lower than 140 dB at a distance of 1 m. The difference in US oscillations’ frequencies was no more than 300 Hz. Due to the effect of multi-frequency ultrasonic oscillations induced in the experimental smoke chamber, it was possible to provide a transmissivity value of 0.8 at a distance of 1 m from the transducers and 0.9 at a distance of 2 m. Thus, the uniform visibility improvement and complete suppression of incoming smoke was achieved. At the same time, the dual-frequency effect does not require an increase in ultrasonic energy for smoke due to the agglomeration of small particles under the influence of high-frequency ultrasonic vibrations and the further aggregation of the formed agglomerates by creating conditions for the additional rotational movement of the agglomerates due to low-frequency vibrations. Full article
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<p>Design and simulation results fora disk emitter. (<b>a</b>) Distribution of amplitude; (<b>b</b>) distribution of stress. 1—emitter; 2—emitting pad of the piezoelectric transducer; 3—piezoceramic rings; 4—reflecting pad; 5—tightening bolt; 6—copper electrode; 7—tightening screw.</p>
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<p>The manufactured emitter with an electronic generator for supplying its power.</p>
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<p>Dual emitter for equal frequency action on smoke.</p>
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<p>Emitters for multi-frequency action on smoke.</p>
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<p>Stand for measuring the directional pattern of ultrasonic emitters. 1—Ultrasonic disk emitter, 2—electronic generator; 3—emitter stand, 4—microphone; 5—noise meter measuring unit; 6—microphone stand; 7—microphone direction point.</p>
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<p>Experimental setup; (<b>a</b>) with one emitter; (<b>b</b>) with two emitters. 1—Ultrasonic disk emitter; 2—electronic generator; 3—smoke chamber; 4—smoke generator; 5—infrared radiation source; 6—photodetector.</p>
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<p>Directivity pattern for a single emitter.</p>
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<p>Attenuation in relation to distance from the source in a smoke chamber (one emitter).</p>
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<p>Directivity pattern of dual disk emitters.Red color—two simultaneously operating disks at the same frequency; blue color—two simultaneously operating disks of different frequencies.</p>
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<p>Attenuation over distance in a smoke chamber (two emitters). Blue color—two simultaneously operating disks of different frequencies; red color—two simultaneously operating disks of equal frequencies.</p>
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<p>Difference frequency directivity pattern.</p>
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<p>Beat frequency attenuation over distance in smoke chamber.</p>
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<p>Results of visual observation of ultrasonic smoke agglomeration.</p>
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<p>Measurement of relative visibility from the time of ultrasonic exposure for different distances (in m) from the emitter.</p>
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<p>Measurement of relative visibility from the time of ultrasonic exposure for different distances (in m) from the emitters.</p>
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<p>Histogram of agglomerate size distribution.</p>
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<p>Images of smoke particle agglomerates (100×). (<b>a</b>) Single-frequency action; (<b>b</b>) dual-frequency action.</p>
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18 pages, 4219 KiB  
Article
Experimental Investigation of Concrete Crack Depth Detection Using a Novel Piezoelectric Transducer and Improved AIC Algorithm
by Weijie Li, Jintao Zhu, Kaicheng Mu, Wenwei Yang, Xue Zhang and Xuefeng Zhao
Buildings 2024, 14(12), 3939; https://doi.org/10.3390/buildings14123939 - 11 Dec 2024
Viewed by 598
Abstract
Ultrasonic pulse velocity (UPV) has shown effectiveness in determining the depth of surface-open cracks in concrete structures. The type of transducer and the algorithm for extracting the arrival time of the ultrasonic signal significantly impact the accuracy of crack depth detection. To reduce [...] Read more.
Ultrasonic pulse velocity (UPV) has shown effectiveness in determining the depth of surface-open cracks in concrete structures. The type of transducer and the algorithm for extracting the arrival time of the ultrasonic signal significantly impact the accuracy of crack depth detection. To reduce the energy loss in piezoceramic-based sensors, a high-performance piezoceramic-enabled smart aggregate (SA) was employed as the ultrasonic transducer. For the extraction of ultrasonic signal arrival time in concrete, a novel characteristic equation was proposed, utilizing the slope of the signal within a shifting window. This equation was subsequently applied to modify Maeda’s function, with the arrival time of ultrasonic waves defined as the moment corresponding to the minimum Akaike information criterion (AIC) value. Six plain concrete specimens with artificial cracks were prepared and one reinforced concrete beam with a load-induced crack was used for validation. The average deviation of the testing of 492 points on 12 human-made cracks was around 5%. The detection results of 11 measurement points of a crack in a reinforced concrete beam show that three measurement points have a deviation of about 17%. The experimental results demonstrated that the novel piezoelectric transducer and improved AIC algorithm exhibit high accuracy in detecting the depth of concrete cracks. Full article
(This article belongs to the Section Building Structures)
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<p>The principle of ultrasonic crack depth detection of vertical cracks.</p>
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<p>The principle of ultrasonic crack depth detection of inclined cracks.</p>
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<p>A graphical representation of the AIC picker applied to ultrasonic signals received in concrete elements.</p>
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<p>Six plain concrete specimens with artificial cracks.</p>
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<p>The details of the concrete cracks.</p>
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<p>The structural composition of the piezoceramic-based ultrasonic transducer.</p>
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<p>Schematic layout of the experimental setup.</p>
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<p>The design depth and detection depth of different cracks.</p>
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<p>The design depth and detection depth of different cracks.</p>
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<p>The detection errors for different cracks.</p>
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<p>Direct measurement of crack depth.</p>
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21 pages, 6009 KiB  
Article
A Fish-Counting Method Using Fusion of Spatial Sensing and Temporal Information
by Zhaozhi Wu, Xinze Zheng, Yi Zhu, Longhao Wu, Congcong Li, Qiang Tu and Fei Yuan
Remote Sens. 2024, 16(23), 4584; https://doi.org/10.3390/rs16234584 - 6 Dec 2024
Viewed by 366
Abstract
In modern aquaculture, accurate and efficient fish counting is crucial for the optimization of resource management and the enhancement of production profitability. Acoustic methods, known for their low energy consumption and extensive detection range, are widely utilized for underwater fish counting. However, traditional [...] Read more.
In modern aquaculture, accurate and efficient fish counting is crucial for the optimization of resource management and the enhancement of production profitability. Acoustic methods, known for their low energy consumption and extensive detection range, are widely utilized for underwater fish counting. However, traditional acoustic echo methods heavily rely on prior knowledge of fish schools and specific distribution models, leading to complexity and limited adaptability in practical applications. This paper introduces a fish-counting approach that integrates spatial sensing with temporal information. Initially, a spatial sensing matrix is constructed using ultrasonic Frequency-Modulated Continuous Wave (FMCW) technology, which facilitates the extraction of multidimensional features from fish echoes and reduces reliance on prior knowledge of fish schools. Subsequently, temporal information is extracted from echo signals using a Long Short-Term Memory (LSTM) network model, preventing missed detections caused by obstructions in single fish echoes during echo sessions. Finally, by fusing spatial and temporal feature information and employing a data-driven approach, we achieve fish counting while avoiding potential issues arising from improper selection of statistical distribution models. Tests on real fish datasets show that our proposed method consistently outperforms conventional statistical echo methods across all metrics, demonstrating its effectiveness in accurate fish counting. Full article
(This article belongs to the Section Ecological Remote Sensing)
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<p>Overall architecture of the proposed method. The FMCW part generates ultrasonic FMCW signals and receives echo signals from fish. The preprocessing part performs signal filtering to remove noise. The spatial feature extraction part conduct signals processing to obtain spatial information of the fish relative to the sonar, including position, velocity, and echo amplitude information. The temporal feature extraction part utilize LSTM to extract temporal sequence information from the echo signals).</p>
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<p>Range-Doppler processing scheme for ultrasonic FMCW.(Mixed TX and RX signals yield an IF signal. FFTs in fast-time and slow-time domains are then applied to this IF signal, producing a 2D matrix of range and Doppler information for target estimation).</p>
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<p>Transmitted, received, and mixed signals.(TX denotes the transmitted continuous chirp signal, RX represents the received echo signal, and Mixed refers to the signal obtained after mixing the received echo signal with the transmitted signal).</p>
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<p>Structural diagram of temporal feature extraction based on LSTM. Amplitude, range, and Doppler information are organized into a matrix to serve as input. Three LSTM units capture temporal features. Finally, a fully connected layer integrates the temporal sequence information from the LSTM units to estimate the number of fish .</p>
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<p>Two-phase flow diagram.</p>
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<p>Physical and triangulated mesh images of the fish and swim bladder. (<b>a</b>) Fish body. (<b>b</b>) swim bladder. (<b>c</b>) mesh fish body. (<b>d</b>) mesh swim bladder.</p>
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<p>Comparative analysis of ‘BEM’, ‘BA’, and ‘Truefish’ fish Species: variations in TS with frequency.The inset figure shows the comparison curve of fish backscattering intensity between 20−30 kHz.</p>
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<p>Convergence curves of training and validation sets on a simulation dataset.(comparison of echo amplitude characteristics of fish schools with different population sizes in a simulation dataset).</p>
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<p>RMD of fish schools of different numbers.</p>
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<p>Convergence curves of training and validation sets on a simulation dataset.</p>
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<p>Confusion matrix of the deep network on the test set of the simulation dataset.</p>
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<p>Scene diagram and satellite map of the experiment. (<b>a</b>) Scenario of fish counting experiment. (<b>b</b>) The equipment and experimental scene of the lake test experiment.</p>
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<p>Time−domain image of the echo after matched filtering.</p>
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<p>RMD of fish schools of varying quantities.</p>
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<p>Convergence curves of training and validation sets on a field experiment dataset.</p>
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<p>Confusion matrix of deep network on the test set of the field experiment dataset.</p>
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<p>Validation of the spatial sensing matrix.</p>
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<p>Scatter-plot comparative analysis of the results of fish counting achieved using different methods. (<b>a</b>): Scatter plot of the proposed method on the test set. (<b>b</b>): Scatter plot of the echo statistics method on the test set. Red dashed line: Ideal regression curve. Black solid line: Estimated regression curve).</p>
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18 pages, 3844 KiB  
Article
Experimental Study of Mechanical Wave Propagation in Solidifying Cement-Based Composites
by Luboš Jakubka, Libor Topolář, Anna Nekorancová, Richard Dvořák, Kristýna Hrabová, Felix Černý, Szymon Skibicki and Luboš Pazdera
Materials 2024, 17(23), 5971; https://doi.org/10.3390/ma17235971 - 6 Dec 2024
Viewed by 465
Abstract
In this paper, a new measurement procedure is presented as an experimental study. In this experimental study, a measurement system using the pass-through pulsed ultrasonic method was used. The pilot application of the measurement setup was to monitor mechanical wave changes during the [...] Read more.
In this paper, a new measurement procedure is presented as an experimental study. In this experimental study, a measurement system using the pass-through pulsed ultrasonic method was used. The pilot application of the measurement setup was to monitor mechanical wave changes during the solidification and hardening of fine-grained cement-based composites. The fine-grained composites had different water–cement ratios. The measured results show apparent differences in the recorded mechanical wave parameters. Significant differences were observed in the waveforms of the amplitude increase in the passing mechanical waves. At the same time, the frequency spectra of the five most dominant frequencies are presented, where the frequency lines are clear, indicating the quality of the hydration process. Based on the results, it can be concluded that the new method is usable for fine-grained cement-based materials but is not limited to that. The advantages of this method are its high variability and non-destructive character. The experimental study also outlines the possible future applications of the pulsed passage ultrasonic method. Full article
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<p>Schematic diagram of pass-through pulsed ultrasonic method for mechanical wave analysis.</p>
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<p>Plastic mould and polystyrene plates with piezoelectric sensors and during measurement (author).</p>
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<p>Comparison of recorded amplitude values with/without de-moulding agent and wrapped with foil.</p>
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<p>Dependencies of temperature difference and amplitude on time for water.</p>
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<p>Development of dominant frequencies in time for water.</p>
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<p>Development of dominant frequencies in time for water—detailed view.</p>
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<p>Dependencies of temperature difference and amplitude on time for cement paste with w/c = 0.33.</p>
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<p>Dependencies of temperature difference and amplitude on time for cement paste with w/c = 0.60.</p>
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<p>Dependence of the slope of the amplitude on the water–cement ratio.</p>
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<p>Relative frequencies for cement pastes with w/c = 0.33 and w/c = 0.40.</p>
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<p>Relative frequencies for cement pastes with w/c = 0.45 and w/c = 0.50.</p>
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<p>Relative frequencies for cement pastes with w/c = 0.55 and w/c = 0.60.</p>
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17 pages, 8620 KiB  
Article
Unique Characteristics of Pulse-Echo Sensing Systems for Ultrasonic Immersion Testing in Harsh Environments
by Gaofeng Sha, Andrew R. Bozek, Bernhard R. Tittmann and Cliff J. Lissenden
Sensors 2024, 24(23), 7748; https://doi.org/10.3390/s24237748 - 4 Dec 2024
Viewed by 446
Abstract
Ultrasound is an excellent way to acquire data that reveal useful information about systems operating in harsh environments, which may include elevated temperature, ionizing radiation, and aggressive chemicals. The effects of harsh environments on piezoelectric materials have been studied in much more depth [...] Read more.
Ultrasound is an excellent way to acquire data that reveal useful information about systems operating in harsh environments, which may include elevated temperature, ionizing radiation, and aggressive chemicals. The effects of harsh environments on piezoelectric materials have been studied in much more depth than the other aspects of ultrasonic transducers used in pulse-echo mode. Therefore, finite element simulations and laboratory experiments are used to demonstrate the unique characteristics of pulse-echo immersion testing. Using an aluminum nitride piezoelectric element mounted on a vessel wall, characteristics associated with electrode thickness, couplant, backing material, and an acoustic matching layer are investigated. Considering a wave path through a vessel wall and into a fluid containing a target, when the travel distance in the fluid is relatively short, it can be difficult to discern the target echo from the reverberations in the vessel wall. When an acoustic matching layer between the vessel wall and the fluid does not suffice, a simple subtractive signal-processing method can minimize the reverberations, leaving just the target echoes of interest. Simulations and experiments demonstrate that sufficient target echoes are detected to determine the time of flight. Furthermore, a simple disc-like surface anomaly on the target is detectable. Full article
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<p>Pulse-echo ultrasound immersion test configuration.</p>
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<p>Typical ultrasonic transducers: (<b>a</b>) gel-coupled contact transducer and (<b>b</b>) bonded wafer.</p>
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<p>Finite element models: (<b>a</b>) 3D, (<b>b</b>) 2D axisymmetric, and (<b>c</b>) comparison of received signals from 3D and 2D axisymmetric models.</p>
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<p>Backing material affects signals: (<b>a</b>) model with no backing, (<b>b</b>) A-scan for transducer with no backing, and (<b>c</b>) model with backing, (<b>d</b>) A-scan for transducer with backing. Properties of backing material given in <a href="#sensors-24-07748-t003" class="html-table">Table 3</a>.</p>
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<p>Electrode thickness effects on received signals: (<b>a</b>) FEA model with electrodes S<sub>1</sub> and S<sub>2</sub>, (<b>b</b>) A-scans for different thicknesses of electrodes S<sub>1</sub> and S<sub>2</sub>.</p>
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<p>Bonding layer effect: (<b>a</b>) model with 10 μm electrodes and 10 μm bonding layer, (<b>b</b>) braze bond layer, and (<b>c</b>) salol bond layer. Properties of braze are given in <a href="#sensors-24-07748-t003" class="html-table">Table 3</a>.</p>
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<p>Grain coarsening effect in vessel wall: (<b>a</b>) attenuation in stainless steel based on 127 μm mean grain size, (<b>b</b>) A-scan signal predicted with attenuation.</p>
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<p>Pulse-echo immersion test laboratory setup: (<b>a</b>) schematic, (<b>b</b>) photograph.</p>
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<p>Pulse-echo signal given a 2.1 mm water path: (<b>a</b>) model, (<b>b</b>) A-scan dominated by vessel wall reverberation. Predicted arrival times of vessel wall reverberations and target echo are shown in blue and red, respectively.</p>
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<p>Pulse-echo signal at room temperature with a 2.1 mm water path: Ti matching layer (<b>a</b>) model, (<b>b</b>) signal and Al matching layer (<b>c</b>) model, (<b>d</b>) signal. Predicted arrival times of vessel wall reverberations and target echo are shown in blue and red, respectively.</p>
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<p>Pulse-echo signal at room temperature with a 2.1 mm water path: Ti matching layer (<b>a</b>) model, (<b>b</b>) signal and Al matching layer (<b>c</b>) model, (<b>d</b>) signal. Predicted arrival times of vessel wall reverberations and target echo are shown in blue and red, respectively.</p>
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<p>Pulse-echo signal at elevated temperature (316 °C) with a 2.1 mm water path and Ti matching layer. Predicted arrival times of vessel wall reverberations and target echo are shown in blue and red, respectively.</p>
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<p>Signal subtraction method removes reverberations: (<b>a</b>) model without target; (<b>b</b>) baseline signal PSE<sub>1</sub>; (<b>c</b>) model with target; (<b>d</b>) signal PSE<sub>2</sub>; (<b>e</b>) difference signal DS = PSE<sub>2</sub> – PSE<sub>1</sub>. Notice the scale of the difference signal DS is an order of magnitude smaller than PSE<sub>1</sub> and PSE<sub>2</sub>.</p>
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<p>Signal subtraction method removes reverberations: (<b>a</b>) model with 0.635 mm thick disc target surface anomaly, (<b>b</b>) signal PES<sub>1</sub>, (<b>c</b>) signal PES<sub>2</sub>, and (<b>d</b>) difference signal DS. Predicted arrival times of target echo and disc echo are shown in blue and red, respectively.</p>
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<p>Effect of disc-shaped anomaly radius and height on echo detectability.</p>
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<p>Laboratory setup for water paths of 2.33, 2.96, and 6.68 mm.</p>
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<p>Signal subtraction method with signals from OmniScan: (<b>a</b>) 2.96 mm water path, (<b>b</b>) difference signal, DS. Predicted target time of arrival shown in blue.</p>
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<p>Signal subtraction method with signals from RAM-5000 using a 2.0 μs delay and water paths of: (<b>a</b>) 2.33 mm, (<b>b</b>) 2.96 mm, and (<b>c</b>) 6.68 mm. Predicted time of arrival of target echo and disc anomaly echo shown in blue and red, respectively.</p>
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<p>Signal subtraction method with signals from RAM-5000 using a 2.0 μs delay and water paths of: (<b>a</b>) 2.33 mm, (<b>b</b>) 2.96 mm, and (<b>c</b>) 6.68 mm. Predicted time of arrival of target echo and disc anomaly echo shown in blue and red, respectively.</p>
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17 pages, 20539 KiB  
Article
Evaluation of Bonding Strength of Pipeline Coating Based on Circumferential Guided Waves
by Yunxiu Ma, Xiaoran Ding, Aocheng Wang, Gang Liu and Lei Chen
Coatings 2024, 14(12), 1526; https://doi.org/10.3390/coatings14121526 - 3 Dec 2024
Viewed by 584
Abstract
The anti-corrosion layer of the pipe provides corrosion resistance and extends the lifespan of the whole pipeline. Heat-shrinkable tape is primarily used as the pipeline joint coating material bonded to the pipeline weld connection position after heating. Delineating the bonding strength and assessing [...] Read more.
The anti-corrosion layer of the pipe provides corrosion resistance and extends the lifespan of the whole pipeline. Heat-shrinkable tape is primarily used as the pipeline joint coating material bonded to the pipeline weld connection position after heating. Delineating the bonding strength and assessing the quality of the bonded structure is crucial for pipeline safety. A detection technology based on nonlinear ultrasound is presented to quantitatively evaluate the bonding strength of a steel-EVA-polyethylene three-layer annulus bonding structure. Using the Floquet boundary condition, the dispersion curves of phase velocity and group velocity for a three-layer annulus bonding structure are obtained. Additionally, wave structure analysis is employed in theoretical study to choose guided wave modes that are appropriate for detection. In this paper, guided wave amplitude, frequency attenuation, and nonlinear harmonics are used to evaluate the structural bonding strength. The results reveal that the detection method based on amplitude and frequency attenuation can be used to preliminarily screen the poor bonding, while the acoustic nonlinear coefficient is sensitive to bonding strength changes. This study introduces a comprehensive and precise pipeline joint bonding strength detection system leveraging ultrasonic-guided wave technology for pipeline coating applications. The detection system determines the bonding strength of bonded structures with greater precision than conventional ultrasonic inspection methods. Full article
(This article belongs to the Special Issue Mechanical Automation Design and Intelligent Manufacturing)
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<p>(<b>a</b>) Concept drawing of an infinite-length multilayered annular waveguide; (<b>b</b>) Concept drawing of the unit cell of the infinite-length multilayered annular waveguide.</p>
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<p>Wavenumber–frequency curves.</p>
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<p>CLT wave phase velocity dispersion curves for the pipeline joint bonding: steel (8 mm)-EVA hot melt adhesive (1 mm)-polyethylene (1.5 mm).</p>
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<p>The influence of different EVA hot melt adhesive layer Poisson’s ratio on the circumferential Lamb wave phase velocity dispersion curve.</p>
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<p>The influence of different EVA hot melt adhesive layer elastic modulus on the circumferential Lamb wave phase velocity dispersion curve.</p>
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<p>Four guided wave modes for testing (a–f: Point for research).</p>
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<p>Normalized displacement wave structure: (<b>a</b>) CLT<sub>5</sub> at 100 kHz; (<b>b</b>) CLT<sub>6</sub> at 150 kHz; (<b>c</b>) CLT<sub>8</sub> at 200 kHz; (<b>d</b>) CLT<sub>9</sub> at 250 kHz.</p>
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<p>Experimental setup diagram including transducer (T) and receiver (R).</p>
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<p>Schematic section of heat shrink tape bonded to the pipe.</p>
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<p>Test specimens: (<b>a</b>) Steel pipe after descaling; (<b>b</b>) Steel pipe after heat-shrinkable tape bonding.</p>
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<p>Improved ultrasound-guided wave probe: (<b>a</b>) Machined wedges (30°); (<b>b</b>) Piezo probe mating wedge.</p>
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<p>Guided wave signals at various peel strengths: (<b>a</b>) Time-domain signals; (<b>b</b>) Frequency-domain spectrum.</p>
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<p>(<b>a</b>) The variation in the amplitude of the time-domain signal; (<b>b</b>) The variation in the maximum energy density of the spectrograms.</p>
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<p>Frequency-domain plot of the detected signal.</p>
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<p>The relationship between the acoustic nonlinear coefficient and the detection distance.</p>
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<p>The relationship between peel strength and acoustic nonlinear coefficient.</p>
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24 pages, 8214 KiB  
Review
Recent Advancements in Guided Ultrasonic Waves for Structural Health Monitoring of Composite Structures
by Mohad Tanveer, Muhammad Umar Elahi, Jaehyun Jung, Muhammad Muzammil Azad, Salman Khalid and Heung Soo Kim
Appl. Sci. 2024, 14(23), 11091; https://doi.org/10.3390/app142311091 - 28 Nov 2024
Viewed by 692
Abstract
Structural health monitoring (SHM) is essential for ensuring the safety and longevity of laminated composite structures. Their favorable strength-to-weight ratio renders them ideal for the automotive, marine, and aerospace industries. Among various non-destructive testing (NDT) methods, ultrasonic techniques have emerged as robust tools [...] Read more.
Structural health monitoring (SHM) is essential for ensuring the safety and longevity of laminated composite structures. Their favorable strength-to-weight ratio renders them ideal for the automotive, marine, and aerospace industries. Among various non-destructive testing (NDT) methods, ultrasonic techniques have emerged as robust tools for detecting and characterizing internal flaws in composites, including delaminations, matrix cracks, and fiber breakages. This review concentrates on recent developments in ultrasonic NDT techniques for the SHM of laminated composite structures, with a special focus on guided wave methods. We delve into the fundamental principles of ultrasonic testing in composites and review cutting-edge techniques such as phased array ultrasonics, laser ultrasonics, and nonlinear ultrasonic methods. The review also discusses emerging trends in data analysis, particularly the integration of machine learning and artificial intelligence for enhanced defect detection and characterization through guided waves. This review outlines the current and anticipated trends in ultrasonic NDT for SHM in composites, aiming to aid researchers and practitioners in developing more effective monitoring strategies for laminated composite structures. Full article
(This article belongs to the Special Issue Application of Ultrasonic Non-destructive Testing)
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<p>Framework of the ultrasonic guided wave-based structural health monitoring process for composite materials.</p>
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<p>(<b>a</b>) Common failure modes of CFRP composites and (<b>b</b>) typical damage types of composite materials during processing and service periods.</p>
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<p>Visualization of the propagation of ultrasonic waves in composite materials on (<b>a</b>) face A, (<b>b</b>) face B, and (<b>c</b>) face C [<a href="#B63-applsci-14-11091" class="html-bibr">63</a>].</p>
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<p>Flow diagram for imaging deterioration in composite materials using TFM imaging [<a href="#B62-applsci-14-11091" class="html-bibr">62</a>].</p>
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<p>The Lamb-wave-based air-coupled ultrasonic testing device detects delamination flaws in carbon fiber composite plates [<a href="#B92-applsci-14-11091" class="html-bibr">92</a>].</p>
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<p>Experimental setup for guided wave testing, depicting the B-scan at 90° [<a href="#B99-applsci-14-11091" class="html-bibr">99</a>].</p>
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<p>Experimental setup of the PAUT guided wave technique for identifying faults in CFRP samples [<a href="#B100-applsci-14-11091" class="html-bibr">100</a>].</p>
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<p>Comparing the contrast and background noise between traditional methods and the FAD technique using electronic beam steering along the fracture direction [<a href="#B104-applsci-14-11091" class="html-bibr">104</a>].</p>
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<p>Damage localization flowchart using the GAF–CNN–CBAM model for damage localization. Reprinted with permission from ref. [<a href="#B120-applsci-14-11091" class="html-bibr">120</a>].</p>
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19 pages, 8266 KiB  
Article
Rock Physics Modeling Studies on the Elastic and Anisotropic Properties of Organic-Rich Shale
by Xiaoqiong Wang, Yueyue Sun, Jiaxin Song and Hongkui Ge
Energies 2024, 17(23), 5955; https://doi.org/10.3390/en17235955 - 27 Nov 2024
Viewed by 384
Abstract
Shale gas reservoirs have a large amount of resources, a wide range of burial, and great development potential. In order to evaluate the elastic properties of the shale, elastic wave velocity and anisotropy measurements of Longmaxi shale samples were carried out in the [...] Read more.
Shale gas reservoirs have a large amount of resources, a wide range of burial, and great development potential. In order to evaluate the elastic properties of the shale, elastic wave velocity and anisotropy measurements of Longmaxi shale samples were carried out in the laboratory. Combined with the results of back scattering scanning electron microscopy (SEM) and digital mineral composition tests, the relationship between the anisotropy and the mineral components of the shale samples is discussed. It is found that the clay and kerogen combination distributed with an inorganic mineral background is the main cause of anisotropy. Then, the elastic properties of the organic-rich shale are analyzed with the anisotropic differential equivalent medium model (DEM). The clay and kerogen combination is established with kerogen as the background medium and clay mineral as the additive phase. The bond transformation is used to rotate the combination so that its directional arrangement is consistent with the real sedimentary situation of the stratum. Then, the clay and kerogen combination is added to the inorganic mineral matrix, with the organic and inorganic pores added to characterize the anisotropy of the shale to the greatest extent. It is found that the error between the wave velocity results calculated from the model and measured in the laboratory is less than 10%, which means the model is reliable. Finally, the effects of the microcracks and aspect ratio, kerogen content, and maturity on the elastic and anisotropic properties of shale rocks are simulated and analyzed with this model. The degree of anisotropy increases with the decrease in the pore aspect ratio and the increase in the microcracks content. The greater the kerogen content and maturity, the greater the anisotropy of rock. This study is of great significance for predicting the “sweet spot” of shale gas and optimizing hydraulic fracturing layers. Full article
(This article belongs to the Special Issue New Progress in Unconventional Oil and Gas Development)
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<p>Wave velocity measurement system: (<b>a</b>) Olympus 5077PR pulse generator and DPO2024B digital oscilloscope; (<b>b</b>) rock fixture device; (<b>c</b>) schematic diagram of the wave velocity measurement of the samples.</p>
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<p>The fitting relationships of the P-wave anisotropy with the (<b>a</b>) porosity; (<b>b</b>) quartz; (<b>c</b>) clay. The blue dashed line are the linear fitting curve of P anisotropy and Clay content.</p>
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<p>The fitting relationships of the P-wave anisotropy with the (<b>a</b>) kerogen and (<b>c</b>) kerogen + clay for all samples; (<b>b</b>) kerogen and (<b>d</b>) kerogen + clay for only the bottomhole samples. The dashed line in all the figures are linear fitting line.</p>
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<p>The digital mineral results for the target reservoir: (<b>a</b>) sample from well A; (<b>b</b>) sample from well B; (<b>c</b>) sample from well C.</p>
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<p>Microstructural characteristics of Longmaxi Formation shale: (<b>a</b>) clay organic matter aggregate; (<b>b</b>) interstitial organic matter; (<b>c</b>) intertwined organic matter; (<b>d</b>) banded organic matter.</p>
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<p>Different maturities of the kerogen morphology of the shale [<a href="#B22-energies-17-05955" class="html-bibr">22</a>]: (<b>a</b>) immature; (<b>b</b>) mature; (<b>c</b>) overly mature.</p>
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<p>The effective modulus versus kerogen concentration of the different theories: (<b>a</b>) C11; (<b>b</b>) C33.</p>
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<p>Coordinate transformation diagram.</p>
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<p>Workflow of the rock physics model for Longmaxi Formation shale.</p>
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<p>(<b>a</b>) Calculated Vph versus the measured Vph; (<b>b</b>) calculated Vpv versus the measured Vpv; (<b>c</b>) calculated P-wave anisotropic parameter vs the measured P-wave anisotropic parameter.</p>
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<p>The influence of the crack aspect ratio and crack density on the rock anisotropy.</p>
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<p>(<b>a</b>) Diagram of the changes in the Vph with the content of kerogen; (<b>b</b>) diagram of the changes in the Vpv with the content of the kerogen; (<b>c</b>) diagram of the changes in the rock anisotropy with the kerogen content.</p>
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<p>(<b>a</b>) Influence of the maturity of the kerogen on the Vph of shale; (<b>b</b>) influence of the maturity of the kerogen on the Vpv of the shale; (<b>c</b>) influence of the kerogen’s maturity on the P-wave anisotropy of the shale. The darker the color, the greater the total porosity.</p>
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19 pages, 12695 KiB  
Article
Fractional Fourier Transform-Based Signal Separation for Ultrasonic Guided Wave Inspection of Plates
by Chengxiang Peng, Paul Annus, Marek Rist, Raul Land and Madis Ratassepp
Sensors 2024, 24(23), 7564; https://doi.org/10.3390/s24237564 - 27 Nov 2024
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Abstract
Detecting defects in plates is crucial across various industries due to safety risks. While ultrasonic bulk waves offer point-by-point inspections, they are time-consuming and limited in coverage. In contrast, guided waves enable the rapid inspection of larger areas. Array transducers are typically used [...] Read more.
Detecting defects in plates is crucial across various industries due to safety risks. While ultrasonic bulk waves offer point-by-point inspections, they are time-consuming and limited in coverage. In contrast, guided waves enable the rapid inspection of larger areas. Array transducers are typically used for more efficient coverage, but conventional excitation methods require sufficient time delays between the excitation of array elements that prolong inspection time, necessitating data acquisition time optimization. Reducing time delays can lead to signal overlapping, complicating signal separation. Conventional frequency domain or time-domain filtering methods often yield unsatisfactory separation results due to the signal overlapping in both domains. This study focuses on the application of the Fractional Fourier Transform (FrFT) for separating overlapping ultrasonic signals, leveraging the FrFT’s ability to distinguish signals that overlap in both the time and frequency domains. Numerical simulations and experiments were conducted to investigate the FrFT’s separation performance for guided waves inspection with array transducers. Results showed that a smaller time delay worsened separation, while using a chirp signal with a broader bandwidth improved separation for signals of fixed duration. Additionally, the effect of signal dispersion on the results was minimal. The findings confirm that the FrFT can effectively separate overlapping signals, enhancing time efficiency in guided wave inspections using array transducers. Full article
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Figure 1

Figure 1
<p>Schematic of UGW inspections. (<b>a</b>) Single transmitter–receiver inspection requiring transducer movement for larger areas. (<b>b</b>) Array transducer inspection with sufficient time delay. (<b>c</b>) Array transducer inspection with reduced time delay.</p>
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<p>Schematic diagram of the FrFT. (<b>a</b>) Rotation invariance: the location of spectral components is unaffected by the rotation angle. (<b>b</b>) Chirp compression: the transformation of a long chirp signal into a narrow peak.</p>
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<p>Flow chart of the three-step FrFT separation.</p>
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<p>Separation of overlapping linear chirps. The two chirps share a bandwidth of 50 kHz and a center frequency of 100 kHz, with signal 2 delayed by 0.1 ms. Peak 1 corresponds to signal 1, while peak 2 corresponds to signal 2. The boundary between the peaks is marked with the black dashed line. The amplitude error represents the difference between the separated signal and the original signal.</p>
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<p>(<b>a</b>) <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math>. (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>100</mn> </msub> </mrow> </semantics></math>. (<b>c</b>) The FrFT of <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>100</mn> </msub> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math>. (<b>d</b>) Geometry of the simulation setup.</p>
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<p>Dispersion curves of Lamb waves in a 2 mm thick aluminum plate. (<b>a</b>) Phase velocity. (<b>b</b>) Group velocity.</p>
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<p>Separation of overlapping signals collected at receiving point 1 using <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math> (simulations 1–3). The first row (<b>a</b>–<b>c</b>) shows the original signals from each source. The second row (<b>d</b>–<b>f</b>) represents the summation of these signals, creating overlap. The third row (<b>g</b>–<b>i</b>) displays the FrFT of the overlapping signals. In the fourth row (<b>j</b>–<b>l</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>m</b>–<b>o</b>) compares the original signal from source 2 with its separated version.</p>
Full article ">Figure 7 Cont.
<p>Separation of overlapping signals collected at receiving point 1 using <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math> (simulations 1–3). The first row (<b>a</b>–<b>c</b>) shows the original signals from each source. The second row (<b>d</b>–<b>f</b>) represents the summation of these signals, creating overlap. The third row (<b>g</b>–<b>i</b>) displays the FrFT of the overlapping signals. In the fourth row (<b>j</b>–<b>l</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>m</b>–<b>o</b>) compares the original signal from source 2 with its separated version.</p>
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<p>Separation of overlapping signals using <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>100</mn> </msub> </mrow> </semantics></math> at receiving point 1. The first column shows the separation results for simulation 4, and the results for simulation 5 are shown in the second column. The first row (<b>a</b>,<b>b</b>) shows the original signals from each source. The second row (<b>c</b>,<b>d</b>) represents the summation of these signals. The third row (<b>e</b>,<b>f</b>) displays the FrFT of the overlapping signals. In the fourth row (<b>g</b>,<b>h</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>i</b>,<b>j</b>) compares the original signal from source 2 with its separated version.</p>
Full article ">Figure 8 Cont.
<p>Separation of overlapping signals using <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>100</mn> </msub> </mrow> </semantics></math> at receiving point 1. The first column shows the separation results for simulation 4, and the results for simulation 5 are shown in the second column. The first row (<b>a</b>,<b>b</b>) shows the original signals from each source. The second row (<b>c</b>,<b>d</b>) represents the summation of these signals. The third row (<b>e</b>,<b>f</b>) displays the FrFT of the overlapping signals. In the fourth row (<b>g</b>,<b>h</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>i</b>,<b>j</b>) compares the original signal from source 2 with its separated version.</p>
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<p>Separation results for simulation 6 and summation of two overlapping <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math>. The separation results for simulation 6 are shown in the first column. The separation results for summation of two overlapping <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math> are shown in the second column. The first row (<b>a</b>,<b>b</b>) shows the original signals from each source. The second row (<b>c</b>,<b>d</b>) represents the summation of these signals. The third row (<b>e</b>,<b>f</b>) displays the FrFT of the overlapping signals. In the fourth row (<b>g</b>,<b>h</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>i</b>,<b>j</b>) compares the original signal from source 2 with its separated version.</p>
Full article ">Figure 9 Cont.
<p>Separation results for simulation 6 and summation of two overlapping <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math>. The separation results for simulation 6 are shown in the first column. The separation results for summation of two overlapping <math display="inline"><semantics> <mrow> <mi>c</mi> <mi>h</mi> <mi>i</mi> <mi>r</mi> <msub> <mi>p</mi> <mn>50</mn> </msub> </mrow> </semantics></math> are shown in the second column. The first row (<b>a</b>,<b>b</b>) shows the original signals from each source. The second row (<b>c</b>,<b>d</b>) represents the summation of these signals. The third row (<b>e</b>,<b>f</b>) displays the FrFT of the overlapping signals. In the fourth row (<b>g</b>,<b>h</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>i</b>,<b>j</b>) compares the original signal from source 2 with its separated version.</p>
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<p>Experimental setup. (<b>a</b>) Measurement setup including ultrasonic sensors, laser vibrometer, and DAQ system. (<b>b</b>) Geometry of the sensors, hole, and receiving positions.</p>
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<p>Separation of overlapping signals collected at receiving point 1 (experiments 1–3). The first row (<b>a</b>–<b>c</b>) displays the original signals from each source. The second row (<b>d</b>–<b>f</b>) shows the summation of these signals. The third row (<b>g</b>–<b>i</b>) represents the FrFT of the overlapping signals. In the fourth row (<b>j</b>–<b>l</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>m</b>–<b>o</b>) compares the original signal from source 2 with its separated version.</p>
Full article ">Figure 11 Cont.
<p>Separation of overlapping signals collected at receiving point 1 (experiments 1–3). The first row (<b>a</b>–<b>c</b>) displays the original signals from each source. The second row (<b>d</b>–<b>f</b>) shows the summation of these signals. The third row (<b>g</b>–<b>i</b>) represents the FrFT of the overlapping signals. In the fourth row (<b>j</b>–<b>l</b>), the separated signal from source 1 is compared with its original signal. The fifth row (<b>m</b>–<b>o</b>) compares the original signal from source 2 with its separated version.</p>
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<p>Signal separation errors for simulations 1–3. (<b>a</b>) MME. (<b>b</b>) RMSE.</p>
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<p>Comparison of signal separation errors using chirp signals with different bandwidths (simulations 4–5). (<b>a</b>) MME. (<b>b</b>) RMSE.</p>
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<p>Signal separation errors for experiments. (<b>a</b>) MME. (<b>b</b>) RMSE.</p>
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