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28 pages, 13426 KiB  
Article
Phase Field Modelling of Failure in Thermoset Composites Under Cure-Induced Residual Stress
by Aravind Balaji, David Dumas and Olivier Pierard
J. Compos. Sci. 2024, 8(12), 533; https://doi.org/10.3390/jcs8120533 (registering DOI) - 15 Dec 2024
Abstract
This study examines the residual stress induced by manufacturing and its effect on failure in thermosetting unidirectional composites under quasi-static loading, using Finite Element-based computational models. During the curing process, the composite material develops residual stress fields due to various phenomena. These stress [...] Read more.
This study examines the residual stress induced by manufacturing and its effect on failure in thermosetting unidirectional composites under quasi-static loading, using Finite Element-based computational models. During the curing process, the composite material develops residual stress fields due to various phenomena. These stress fields are predicted using a constitutive viscoelastic model and subsequently initialized within a damage-driven Phase Field model. Structural tensors are used to modify the stress-based failure criteria to account for inherent transverse isotropy. This influence is incorporated into the crack phase field evolution equation, enabling a modular framework that retains all residual stress information through a heat-transfer analogy. The proposed coupled computational model is validated through a representative numerical case study involving L-shaped composite parts. The findings reveal that cure-induced residual stresses, in conjunction with discontinuities, play a critical role in matrix cracking and significantly affect the structural load-carrying capacity. The proposed coupled numerical approach provides an initial estimation of the influence of manufacturing defects and streamlines the optimization of cure profiles to enhance manufacturing quality. Among the investigated curing strategies, the three-dwell cure cycle emerged as the most effective solution. Full article
(This article belongs to the Special Issue Theoretical and Computational Investigation on Composite Materials)
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Graphical abstract

Graphical abstract
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<p>Residually stressed composite lamina, <math display="inline"><semantics> <mrow> <mi mathvariant="normal">Ω</mi> </mrow> </semantics></math>, at reference and incremental configuration.</p>
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<p>Schematic overview of a laminate, highlighting the different failures.</p>
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<p>Effect of anisotropic parameter, <math display="inline"><semantics> <mrow> <mi mathvariant="normal">ς</mi> </mrow> </semantics></math>, on the crack pattern for different fiber orientations represented experimentally in 1-direction and numerically by orange arrows relative to the X-axis: (<b>A</b>) at 30°, (<b>B</b>) at 45°, and (<b>C</b>) at 60° (with a deformation scaling factor of 1.0). Additionally, (<b>D</b>) presents the comparison of load-displacement plot for 45° case. All computations were conducted with a length scale of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>l</mi> </mrow> <mrow> <mi>ϕ</mi> </mrow> </msub> <mo>=</mo> <mn>0.02</mn> </mrow> </semantics></math> mm. (<b>E</b>) illustrates the influence of the length scale <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>l</mi> </mrow> <mrow> <mi>ϕ</mi> </mrow> </msub> </mrow> </semantics></math> with a fixed value of ς = 50 for 45° case. Experimental results from [<a href="#B74-jcs-08-00533" class="html-bibr">74</a>] were reproduced with permission from Elsevier.</p>
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<p>(<b>A</b>) Geometry and (<b>B</b>) FE model with associated boundary conditions for the curing analysis of the Z-shaped part.</p>
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<p>Residual stress upon the demolding step occurs in the primary global directions: (<b>A</b>) X direction, (<b>B</b>) Y direction, and (<b>C</b>) Z direction (with a deformation scaling factor of 1.0).</p>
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<p>Comparison of spring-in measurements between experimental laser scans and CHILE numerical post-processing.</p>
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<p>(<b>A</b>) Geometry and boundary conditions for the Mode I test, (<b>B</b>) evolution of damage along the interface with a scaling factor of 5.0, and (<b>C</b>) comparison of the load-displacement plot between experimental data [<a href="#B87-jcs-08-00533" class="html-bibr">87</a>] and the PF numerical model.</p>
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<p>Comparison of the delamination front under Mode I loading conditions during repeated loading and unloading steps at displacements of (<b>A</b>) 4 mm, (<b>B</b>) 6 mm, (<b>C</b>) 12 mm, and (<b>D</b>) 15 mm. Experimental results from [<a href="#B87-jcs-08-00533" class="html-bibr">87</a>] were reproduced with permission from Elsevier.</p>
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<p>(<b>A</b>) Geometry and boundary conditions for the Mode II test, (<b>B</b>) evolution of damage along the interface with a scaling factor of 5.0, and (<b>C</b>) comparison of the load-displacement plot between experimental data [<a href="#B88-jcs-08-00533" class="html-bibr">88</a>] and the PF numerical model.</p>
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<p>Associated boundary conditions for (<b>A</b>) the curing simulation using the CHILE model and (<b>B</b>) the structural simulation using the PF model, respectively.</p>
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<p>(<b>A</b>) The overall deformation before and after the demolding step in the curing simulation with respect to the affixed CSYS, and (<b>B</b>) the associated residual stress upon demolding in the primary global directions (with a deformation scaling factor of 1.0).</p>
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<p>Comparison of delamination and matrix cracking in 90° plies based on (<b>A</b>) experimental data [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>] and (<b>B</b>) numerical PF simulations. Experimental results from ref. [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>] were reproduced with permission from Elsevier.</p>
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<p>Comparison of failure loads based on experimental data [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>] and numerical PF simulations, with and without manufacturing-induced residual stresses.</p>
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<p>(<b>A</b>) MRCC (indicated by the red line) and various stochastic thermal loading conditions corresponding to three-dwell cure cycles and modified slower cooling rates; and (<b>B</b>) comparison of failure probabilities in 90° plies under different thermal loading conditions, along with the peak load before failure.</p>
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<p>Comparison of delamination and matrix cracking in 90° plies for a thick L-shaped specimen based on (<b>A</b>) experimental data [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>] and (<b>B</b>) numerical PF simulations without residual stress. Experimental results from ref. [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>] were reproduced with permission from Elsevier.</p>
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<p>(<b>A</b>) Voids in 90° plies within the thick specimen (experimental image from ref. [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>] was reproduced with permission from Elsevier), (<b>B</b>) correlation between curing pressure conditions and void ratio [<a href="#B91-jcs-08-00533" class="html-bibr">91</a>], and (<b>C</b>) schematic representation of random voids along with localized residual stress concentration corresponding to 0.5%, 2.5%, and 3.5% void contents, respectively.</p>
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<p>Comparison of the mean load-displacement plots for stochastic voids within the 90° plies, corresponding to 0.5%, 2.5%, and 3.5% void content alongside experimental data [<a href="#B30-jcs-08-00533" class="html-bibr">30</a>], respectively.</p>
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26 pages, 2256 KiB  
Review
Recent Progress on Surface Water Quality Models Utilizing Machine Learning Techniques
by Mengjie He, Qin Qian, Xinyu Liu, Jing Zhang and James Curry
Water 2024, 16(24), 3616; https://doi.org/10.3390/w16243616 (registering DOI) - 15 Dec 2024
Abstract
Surface waterbodies are heavily exposed to pollutants caused by natural disasters and human activities. Empowering sensor technologies in water quality monitoring, sufficient measurements have become available to develop machine learning (ML) models. Numerous ML models have quickly been adopted to predict water quality [...] Read more.
Surface waterbodies are heavily exposed to pollutants caused by natural disasters and human activities. Empowering sensor technologies in water quality monitoring, sufficient measurements have become available to develop machine learning (ML) models. Numerous ML models have quickly been adopted to predict water quality indicators in various surface waterbodies. This paper reviews 78 recent articles from 2022 to October 2024, categorizing water quality models utilizing ML into three groups: Point-to-Point (P2P), which estimates the current target value based on other measurements at the same time point; Sequence-to-Point (S2P), which utilizes previous time series data to predict the target value at one time point ahead; and Sequence-to-Sequence (S2S), which uses previous time series data to forecast sequential target values in the future. The ML models used in each group are classified and compared according to water quality indicators, data availability, and model performance. Widely used strategies for improving performance, including feature engineering, hyperparameter tuning, and transfer learning, are recognized and described to enhance model effectiveness. The interpretability limitations of ML applications are discussed. This review provides a perspective on emerging ML for surface water quality models. Full article
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Figure 1
<p>Summary of the main traditional models and deep learning models in this review.</p>
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<p>Proportions of different ML models applied on P2P, S2P, and S2S models.</p>
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<p>The architecture of the CNN-LSTM model.</p>
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<p>The bi-directional architecture of the BiLSTM model.</p>
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<p>The architecture of the AT-BiLSTM model with ED structure.</p>
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<p>Proportion of metrics used in ML water quality regression models.</p>
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22 pages, 14161 KiB  
Article
A Parametric Study on Air Lubrication for Ship Energy Efficiency
by Raul Lima Portela Bispo, Jeferson Avila Souza, Jean-David Caprace, Juan Carlos Ordonez and Crístofer Hood Marques
J. Mar. Sci. Eng. 2024, 12(12), 2309; https://doi.org/10.3390/jmse12122309 (registering DOI) - 15 Dec 2024
Abstract
With the new target set by the International Maritime Organization (IMO) of zero net emissions of atmospheric gases from maritime vessels by 2050, studies of methods that improve the efficiency of vessels have become highly relevant. One promising method is air injection, which [...] Read more.
With the new target set by the International Maritime Organization (IMO) of zero net emissions of atmospheric gases from maritime vessels by 2050, studies of methods that improve the efficiency of vessels have become highly relevant. One promising method is air injection, which creates a lubricating film between the hull and water, reducing the total resistance. Despite the potential of air injection, there is a lack of studies defining the correlation between key parameters (such as air layer thickness, injection angle, vessel speed, and the number of nozzles) in the method efficiency. Therefore, this study aimed to assess the method’s efficiency through a parametric analysis. The study utilized the OpenFOAM software to analyze the air injection method in the Duisburg Test Case (DTC) hull, a 1:59 scaled container ship. The numerical solution used finite volumes to discretize the conservation equations, RANS (Reynolds-Averaged Navier–Stokes) in the momentum equation, and κ-ω SST in the turbulence model. The optimum configuration achieved 14.13% net power savings, while the worst configuration increased the power consumption instead. An analysis of variance (ANOVA) confirmed the relationship between parameters and effectiveness. Therefore, the results showed the importance of adjusting the method’s parameters. Full article
(This article belongs to the Special Issue Advanced Technologies for New (Clean) Energy Ships)
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Figure 1
<p>Computational domain with the boundary conditions (not to scale to improve visualization).</p>
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<p>Side view of the mesh, providing an overview of the DTC hull.</p>
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<p>Bottom view of the DTC hull to show the spatial discretization for the 4, 6, and 8 nozzles.</p>
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<p>Total resistance, viscous resistance, and pressure resistance results, as a function of simulated time.</p>
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<p>Gross power savings and net power savings results for velocities of 1.335 and 1.668 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>.</p>
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<p>Overview of volumetric fraction of water in the hull interaction relative to the best configuration at a velocity of 1.335 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, with six nozzles, 6 <math display="inline"><semantics> <mi>mm</mi> </semantics></math> of air layer, and a <math display="inline"><semantics> <msup> <mn>5</mn> <mo>°</mo> </msup> </semantics></math> injection angle. (<b>a</b>) Side view of DTC hull, showing premature air leakage (red circle) by the volumetric fraction of water. (<b>b</b>) Bottom view of DTC hull, showing the air coverage.</p>
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<p>Overview of volumetric fraction of water in the hull interaction relative to the worst configuration at a velocity of 1.335 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, with 4 nozzles, 4 <math display="inline"><semantics> <mi>mm</mi> </semantics></math> of air layer, and a <math display="inline"><semantics> <msup> <mn>25</mn> <mo>°</mo> </msup> </semantics></math> injection angle. (<b>a</b>) Side view of DTC hull, showing air premature air leakage (red circle) by the volumetric fraction of water. (<b>b</b>) Bottom view of DTC hull, showing the air coverage.</p>
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<p>Overview of volumetric fraction of water in the hull interaction relative to the best configuration at a velocity of 1.668 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, with 8 nozzles, 8 <math display="inline"><semantics> <mi>mm</mi> </semantics></math> of air layer, and a <math display="inline"><semantics> <msup> <mn>5</mn> <mo>°</mo> </msup> </semantics></math> injection angle. (<b>a</b>) Side view of DTC hull, showing premature air leakage (red circle) by the volumetric fraction of water. (<b>b</b>) Bottom view of DTC hull, showing the air coverage.</p>
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<p>Overview of volumetric fraction of water in the hull interaction relative to the worst configuration at a velocity of 1.668 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math>, with 4 nozzles, 4 <math display="inline"><semantics> <mi>mm</mi> </semantics></math> of air layer, and a <math display="inline"><semantics> <msup> <mn>25</mn> <mo>°</mo> </msup> </semantics></math> injection angle. (<b>a</b>) Side view of DTC hull, showing premature air leakage (red circle) by the volumetric fraction of water. (<b>b</b>) Bottom view of DTC hull, showing the air coverage.</p>
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<p>Airflow patterns and air coverage results as a function of the number of nozzles and air layer thickness, for a velocity of 1.335 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math> and a <math display="inline"><semantics> <msup> <mn>5</mn> <mo>°</mo> </msup> </semantics></math> injection angle.</p>
Full article ">Figure 11
<p>Airflow patterns and air coverage result as a function of the number of nozzles and air layer thickness, for a velocity of 1.668 <math display="inline"><semantics> <mrow> <mi mathvariant="normal">m</mi> <mo>/</mo> <mi mathvariant="normal">s</mi> </mrow> </semantics></math> and a <math display="inline"><semantics> <msup> <mn>5</mn> <mo>°</mo> </msup> </semantics></math> injection angle.</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 (registering DOI) - 15 Dec 2024
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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Figure 1
<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>
Full article ">Figure 7
<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>
Full article ">Figure 11
<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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20 pages, 3072 KiB  
Review
Spatiotemporal Dynamics of Suspended Particulate Matter in Water Environments: A Review
by Trung Tin Huynh, Jaein Kim, Sang Deuk Lee, Michael Fettweis, Qilong Bi, Sangsik Kim, Sungyun Lee, Yun Young Choi, Huu Son Nguyen, Trong Vinh Bui and Byung Joon Lee
Water 2024, 16(24), 3613; https://doi.org/10.3390/w16243613 (registering DOI) - 15 Dec 2024
Abstract
Suspended particulate matter (SPM) is an indispensable component of water environments. Its fate and transport involve various physical and biogeochemical cycles. This paper provides a comprehensive review of SPM dynamics by integrating insights from biogeochemical processes, spatiotemporal observation techniques, and numerical modeling approaches. [...] Read more.
Suspended particulate matter (SPM) is an indispensable component of water environments. Its fate and transport involve various physical and biogeochemical cycles. This paper provides a comprehensive review of SPM dynamics by integrating insights from biogeochemical processes, spatiotemporal observation techniques, and numerical modeling approaches. It also explores methods for diagnosing SPM-mediated biogeochemical processes, such as the flocculation kinetics test and organic matter composition analysis. Advances in remote sensing, in situ monitoring, and high-resolution retrieval algorithms are discussed, highlighting their significance in detecting and quantifying SPM concentrations across varying spatial and temporal scales. Furthermore, this review examines integrated models that incorporate population balance equations on the basis of flocculation kinetics into multi-dimensional sediment transport models. The results from this study provide valuable insights into SPM dynamics, ultimately enhancing our knowledge of SPM behavior and transport in water environments. However, uncertainties remain due to limited field data on flocculation kinetics and the need for parameter optimization in numerical models. Addressing these gaps through enhanced fieldwork and model refinement will significantly improve our ability to predict and manage SPM dynamics, which is critical for sustainable aquatic ecosystem management in an era of rapid environmental change. Full article
(This article belongs to the Section Water Erosion and Sediment Transport)
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Figure 1
<p>Sources, fate, and transport of flocs with heterogeneous composition.</p>
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<p>Schematic diagram of the biogeochemical cycle of carbonaceous materials mediated by flocculation with heterogeneous components in water and benthic environments.</p>
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<p>Schematic diagram of satellite-, aircraft-, and UAV-based remote sensing, and measurable spectral bands of satellites in operation [<a href="#B96-water-16-03613" class="html-bibr">96</a>].</p>
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<p>Basic structure for quantification of (<b>a</b>) total suspended matter (TSM), (<b>b</b>) Chlorophyll-a, and (<b>c</b>) bed load flux using the machine learning algorithms [<a href="#B20-water-16-03613" class="html-bibr">20</a>,<a href="#B115-water-16-03613" class="html-bibr">115</a>,<a href="#B118-water-16-03613" class="html-bibr">118</a>].</p>
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<p>Conceptual schematic of dual frequency echosounder on fluid mud detection with high-frequency (180–220 kHz) and low-frequency (15–38 kHz) ranges [<a href="#B129-water-16-03613" class="html-bibr">129</a>].</p>
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<p>Comparison of (<b>a</b>) single−class population balance equation, (<b>b</b>) two−class population balance equation, (<b>c</b>) three−class population balance equation, and (<b>d</b>) multi−class population balance equation mode [<a href="#B32-water-16-03613" class="html-bibr">32</a>,<a href="#B35-water-16-03613" class="html-bibr">35</a>,<a href="#B145-water-16-03613" class="html-bibr">145</a>,<a href="#B146-water-16-03613" class="html-bibr">146</a>].</p>
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19 pages, 8742 KiB  
Article
Effectiveness in Cooling a Heat Sink in the Presence of a TPMS Porous Structure Comparing Two Different Flow Directions
by Mohamad Ziad Saghir and Mohammad M. Rahman
Fluids 2024, 9(12), 297; https://doi.org/10.3390/fluids9120297 (registering DOI) - 15 Dec 2024
Abstract
The triply periodic minimal surface (TPMS) is receiving much interest among researchers. The advantage of using this TPMS structure is the ability to design a structure based on engineering need. In the present context, experimental measurement was conducted and compared with numerical models [...] Read more.
The triply periodic minimal surface (TPMS) is receiving much interest among researchers. The advantage of using this TPMS structure is the ability to design a structure based on engineering need. In the present context, experimental measurement was conducted and compared with numerical models using a foam porous medium and TPMS porous structure, leading to an accurate calibration of the model. A porous medium, metal foam, was heated experimentally at the bottom, and forced convection was investigated for different heating conditions. Then, the porous foam was replaced with a TPMS, and the experiment was repeated under similar conditions. The experimental data were compared with the numerical model using COMSOL software. Besides the model’s accuracy, the TPMS showed a uniform heating condition contrary to the metal foam case. At a later stage, the numerical model was used to investigate the importance of flow direction (two flow directions) in cooling hot surfaces. The first flow was parallel to the hot surface, and the second perpendicular to the hot surface. The TPMS structure was located on the top of the hot surface and acted as a fin in both cases. The Nusselt number exceeded 80 in the presence of the TPMS. As the porosity of the TPMS decreases below 0.7, a more considerable pressure drop is observed. The performance evaluation criterion was found to be greater than 70 when the porosity of the TPMS structure was 0.8. Full article
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Figure 1
<p>(<b>a</b>) Experimental setup [<a href="#B2-fluids-09-00297" class="html-bibr">2</a>]. (<b>b</b>) Location of the thermocouple [<a href="#B2-fluids-09-00297" class="html-bibr">2</a>].</p>
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<p>(<b>a</b>) Experimental setup [<a href="#B2-fluids-09-00297" class="html-bibr">2</a>]. (<b>b</b>) Location of the thermocouple [<a href="#B2-fluids-09-00297" class="html-bibr">2</a>].</p>
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<p>Test section including the ERG metal foam having a permeability of 20 PPI and a porosity of 0.91.</p>
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<p>Numerical model under consideration [<a href="#B28-fluids-09-00297" class="html-bibr">28</a>].</p>
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<p>Comparison between experimental data and the numerical simulation. (<b>a</b>) Flow rate = 6.309 cm<sup>3</sup>/s, (<b>b</b>) Flow rate = 9.46 cm<sup>3</sup>/s.</p>
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<p>Comparison between experimental data and the numerical simulation. (<b>a</b>) Flow rate = 6.309 cm<sup>3</sup>/s, (<b>b</b>) Flow rate = 9.46 cm<sup>3</sup>/s.</p>
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<p>Comparison of the local Nusselt number between experimental and numerical data. (<b>a</b>) Flow rate = 11.35 cm<sup>3</sup>/s, (<b>b</b>) Flow rate = 13.88 cm<sup>3</sup>/s.</p>
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<p>Comparison of the local Nusselt number between experimental and numerical data. (<b>a</b>) Flow rate = 11.35 cm<sup>3</sup>/s, (<b>b</b>) Flow rate = 13.88 cm<sup>3</sup>/s.</p>
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<p>TPMS structure under investigation. (<b>a</b>,<b>d</b>) porosity = 0.7, (<b>b</b>,<b>e</b>) porosity = 0.8, (<b>c</b>,<b>f</b>) porosity = 0.9.</p>
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<p>TPMS structure under investigation. (<b>a</b>,<b>d</b>) porosity = 0.7, (<b>b</b>,<b>e</b>) porosity = 0.8, (<b>c</b>,<b>f</b>) porosity = 0.9.</p>
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<p>Comparison between experimental measurement and numerical calculation for a flow rate of 3.74 cm<sup>3</sup>/s. (<b>a</b>) Temperature variation, (<b>b</b>) Local Nusselt number variation.</p>
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<p>Comparison between experimental measurement and numerical calculation for a flow rate of 3.74 cm<sup>3</sup>/s. (<b>a</b>) Temperature variation, (<b>b</b>) Local Nusselt number variation.</p>
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<p>Temperature and Nusselt number variation for different flow rates and porosity. (<b>a</b>) Temperature distribution, (<b>b</b>) Local Nusselt number variation.</p>
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<p>Mesh model used in the current calculation.</p>
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<p>Flow direction under study. (<b>a</b>) Parallel flow direction, (<b>b</b>) perpendicular flow direction.</p>
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<p>Thermohydraulic performance of TPMS and metal foam for two different flow injections, φ = 0.7. (<b>a</b>) TPMS temperature, (<b>b</b>) TPMS local Nu number, (<b>c</b>) TPMS average PEC, (<b>d</b>) Porous temperature, (<b>e</b>) Porous local Nu number, (<b>f</b>) Porous average PEC.</p>
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<p>Thermohydraulic performance of TPMS and metal foam for two different flow injections, φ = 0.7. (<b>a</b>) TPMS temperature, (<b>b</b>) TPMS local Nu number, (<b>c</b>) TPMS average PEC, (<b>d</b>) Porous temperature, (<b>e</b>) Porous local Nu number, (<b>f</b>) Porous average PEC.</p>
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<p>Thermohydraulic performance of the TPMS for two different flow injections. (<b>a</b>) TPMS temperature (φ = 0.8), (<b>b</b>) TPMS local Nu number (φ = 0.8), (<b>c</b>) TPMS average PEC (φ = 0.8), (<b>d</b>) TMPS temperature (φ = 0.9), (<b>e</b>) TPMS local Nu number (φ = 0.9), (<b>f</b>) TPMS average PEC (φ = 0.9).</p>
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<p>Thermohydraulic performance of the TPMS for two different flow injections. (<b>a</b>) TPMS temperature (φ = 0.8), (<b>b</b>) TPMS local Nu number (φ = 0.8), (<b>c</b>) TPMS average PEC (φ = 0.8), (<b>d</b>) TMPS temperature (φ = 0.9), (<b>e</b>) TPMS local Nu number (φ = 0.9), (<b>f</b>) TPMS average PEC (φ = 0.9).</p>
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<p>Velocity and temperature profiles within the test section for the parallel flow case with a flow rate equal to 19.85 cm<sup>3</sup>/s. (<b>a</b>) Velocity profile φ = 0.7, (<b>b</b>) Velocity profile φ = 0.8, (<b>c</b>) Velocity profile φ = 0.9, (<b>d</b>) Temperature profile φ = 0.7, (<b>e</b>) Temperature profile φ = 0.8, (<b>f</b>) Temperature profile φ = 0.9.</p>
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14 pages, 1504 KiB  
Article
Mediating Effects of Serum Lipids and Physical Activity on Hypertension Management of Urban Elderly Residents in China
by Yang Zhao, Yike Zhang and Fei Wang
Metabolites 2024, 14(12), 707; https://doi.org/10.3390/metabo14120707 (registering DOI) - 15 Dec 2024
Viewed by 25
Abstract
Background/Objectives: Investigating the importance and potential causal effects of serum lipid biomarkers in the management of hypertension is vital, as these factors positively impact the prevention and control of cardiovascular disease (CVD). Methods: We surveyed 3373 urban residents using longitudinal data [...] Read more.
Background/Objectives: Investigating the importance and potential causal effects of serum lipid biomarkers in the management of hypertension is vital, as these factors positively impact the prevention and control of cardiovascular disease (CVD). Methods: We surveyed 3373 urban residents using longitudinal data from the CHARLS database, collected between 2015 and 2020. Pearson correlation methods were employed to explore the relationships among the numerical variables. A logistic regression model was utilized to identify the risk factors for hypertension. The dose–effect relationship between serum lipids and BP was assessed using restricted cubic splines (RCS). Additionally, piecewise structural equation modeling (PiecewiseSEM) was conducted to further elucidate the direct and indirect pathways involving individual body indices, serum lipids, and PA on BP responses at different levels of physical activity (PA). Results: The four serum lipids showed significant differences between hypertensive and non-hypertensive residents (p < 0.05). All lipids, except for HDL cholesterol, demonstrated extremely significant positive correlations with both systolic blood pressure (SBP) and diastolic blood pressure (DBP) (p < 0.001). All serum lipid variables were significantly associated with the incidence of hypertension. Specifically, triglycerides (bl_tg), HDL (bl_hdl), and low-density lipoprotein LDL cholesterol were identified as significant risk factors, with odds ratios (ORs) of 1.56 (95% CI: 1.33–1.85, p < 0.001), 1.16 (95% CI: 1.02–1.33, p < 0.05), and 1.62 (95% CI: 1.23–2.15, p < 0.001), respectively. Conversely, cholesterol (bl_cho) was a protective factor for hypertension, with an OR of 0.60 (95% CI: 0.42–0.82, p < 0.01). PA showed weak relationships with blood pressure (BP); however, PA levels had significant effects, particularly at low PA levels. The four serum lipids had the most mediating effect on BP, especially under low PA level conditions, while PA exhibited a partly weak mediating effect on BP, particularly under high PA level conditions. Conclusions: Serum lipids have significant nonlinear relationships with BP and PA levels exert different influences on BP. The significant mediating effects of serum lipids and the weak mediating effects of PA on individual body indices related to SBP and DBP demonstrate significant differences across varying levels of PA, highlighting the importance of low PA levels in hypertension management. This study could provide valuable recommendations and guidance in these areas. Full article
(This article belongs to the Special Issue Interactions between Exercise Physiology and Metabolism)
18 pages, 4643 KiB  
Article
Review and Comparison of Methods for Soiling Modeling in Large Grid-Connected PV Plants
by Marta Redondo, Carlos Antonio Platero, Antonio Moset, Fernando Rodríguez and Vicente Donate
Sustainability 2024, 16(24), 10998; https://doi.org/10.3390/su162410998 (registering DOI) - 15 Dec 2024
Viewed by 170
Abstract
Soiling in PV modules is one of the biggest issues affecting performance and economic losses in PV power plants; thus, it is essential to supervise and forecast soiling profiles and establish the best cleaning program. This paper analyzes different methods for soiling modeling [...] Read more.
Soiling in PV modules is one of the biggest issues affecting performance and economic losses in PV power plants; thus, it is essential to supervise and forecast soiling profiles and establish the best cleaning program. This paper analyzes different methods for soiling modeling in Large Grid-Connected PV Plants and discusses the different factors influencing soiling. Analytical models from environmental conditions are discussed in detail, comparing the proposed model by the authors (SOMOSclean) with another three relevant models from the literature (Kimber, HSU, and Toth), applying them to 16 PV power plants in Spain (total capacity of 727 MWp). Uncertainty between models and sensors is also measured, presenting the numerical results for a period of 2 years. While simpler models may offer straightforward implementation, they often fail to capture the full complexity of soiling dynamics, leading to increased RMSE error. Full article
(This article belongs to the Special Issue Sustainable Energy: The Path to a Low-Carbon Economy)
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<p>Solar PV panels affected by soiling compared with a clean panel.</p>
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<p>Number of relevant publications and citations since 2000 with the keywords “soling model” AND “photovoltaic”.</p>
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<p>Upper plot: Comparison between different soiling modeling methods applied to a PV power plant (49.5 MWp) in Spain. Lower plot: environmental data for the same period (rainfall and PM10 concentration) and manual cleaning events.</p>
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<p>“Normal” behavior. Comparison between different soiling modeling methods applied to a PV power plant (49 MWp) in Spain.</p>
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<p>Partial rain effect. Comparison between different soiling modeling methods applied to a PV power plant (49 MWp) in Spain.</p>
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<p>Manual cleaning. Comparison between different soiling modeling methods applied to a PV power plant (49 MWp) in Spain.</p>
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<p>Dust concentration effect. Comparison between different soiling modeling methods applied to a PV power plant (49 MWp) in Spain.</p>
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<p>Regression plot of 7-day values of soiling (%). Each point represents the 7 day average value compared versus the average values of both soiling sensors.</p>
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25 pages, 3167 KiB  
Article
A Dual Filter Based on Radial Basis Function Neural Networks and Kalman Filters with Application to Numerical Wave Prediction Models
by Athanasios Donas, Ioannis Kordatos, Alex Alexandridis, George Galanis and Ioannis Th. Famelis
Sensors 2024, 24(24), 8006; https://doi.org/10.3390/s24248006 (registering DOI) - 15 Dec 2024
Viewed by 120
Abstract
The aim of this study is to introduce and evaluate a dual filter that combines Radial Basis Function neural networks and Kalman filters to enhance the accuracy of numerical wave prediction models. Unlike the existing methods, which focus solely on systematic errors, the [...] Read more.
The aim of this study is to introduce and evaluate a dual filter that combines Radial Basis Function neural networks and Kalman filters to enhance the accuracy of numerical wave prediction models. Unlike the existing methods, which focus solely on systematic errors, the proposed framework concurrently targets both systematic and non-systematic parts of forecast errors, significantly reducing the bias and variability in significant wave height predictions. The produced filter is self-adaptive, identifying optimal Radial Basis Function network configurations through an automated process involving various network parameters tuning. The produced computational system is assessed using a time-window procedure applied across divergent time periods and regions in the Aegean Sea and the Pacific Ocean. The results reveal a consistent performance, outperforming classic Kalman filters with an average reduction of 53% in bias and 28% in RMSE, underlining the dual filter’s potential as a robust post-processing tool for environmental simulations. Full article
(This article belongs to the Special Issue Feature Papers in the 'Sensor Networks' Section 2024)
24 pages, 8068 KiB  
Article
Dynamic Response of Electromechanical Coupled Motor Gear System with Gear Tooth Crack
by Zhaoyuan Yao, Tianliang Lin, Qihuai Chen and Haoling Ren
Machines 2024, 12(12), 918; https://doi.org/10.3390/machines12120918 (registering DOI) - 15 Dec 2024
Viewed by 114
Abstract
The motor gear system (MGS) is recognized for its potential in enhancing transmission efficiency and optimizing space utilization. However, the system is subjected to challenges, notably the occurrence of abnormal vibrations. These issues stem from the dynamic interaction between the motor and gears, [...] Read more.
The motor gear system (MGS) is recognized for its potential in enhancing transmission efficiency and optimizing space utilization. However, the system is subjected to challenges, notably the occurrence of abnormal vibrations. These issues stem from the dynamic interaction between the motor and gears, the presence of nonlinear factors in gear system, and the impact of gear faults, all of which contribute to complex vibration patterns. Traditional dynamic models have been found to be inadequate in effectively addressing the complexities associated with electromechanical coupling problems in MGS. To address these limitations, a comprehensive analysis approach is proposed in this paper, which is grounded in the development of an electromechanical coupling model. This method involves establishing a coupled dynamic model of the motor and gear system, integrating numerical simulations, and experimental validations to thoroughly analyze the vibration characteristics of the system. Through this multifaceted methodology, a detailed analysis of the system’s vibration characteristics is conducted. The results indicate that internal excitations from tooth root cracks not only directly affect dynamic characteristics of the gear transmission system (GTS) but also indirectly influence dynamic behavior of the motor, which offers valuable insights into modeling integrated MGS and provides significant solutions for fault diagnosis within these systems. Full article
(This article belongs to the Section Electrical Machines and Drives)
17 pages, 6836 KiB  
Article
A Time–Frequency-Based Data-Driven Approach for Structural Damage Identification and Its Application to a Cable-Stayed Bridge Specimen
by Naiwei Lu, Yiru Liu, Jian Cui, Xiangyuan Xiao, Yuan Luo and Mohammad Noori
Sensors 2024, 24(24), 8007; https://doi.org/10.3390/s24248007 (registering DOI) - 15 Dec 2024
Viewed by 144
Abstract
Structural damage identification based on structural health monitoring (SHM) data and machine learning (ML) is currently a rapidly developing research area in structural engineering. Traditional machine learning techniques rely heavily on feature extraction, where weak feature extraction can lead to suboptimal features and [...] Read more.
Structural damage identification based on structural health monitoring (SHM) data and machine learning (ML) is currently a rapidly developing research area in structural engineering. Traditional machine learning techniques rely heavily on feature extraction, where weak feature extraction can lead to suboptimal features and poor classification performance. In contrast, ML-based methods, particularly deep learning approaches like convolutional neural networks (CNNs), automatically extract relevant features from raw data, improving the accuracy and adaptability of the damage identification process. This study developed a time–frequency-based data-driven approach aiming to improve the effectiveness of traditional data-driven structural damage identification approaches for large complex structures. Firstly, the structural acceleration signals in the time domain were converted into two-dimensional images via the Gram angle difference field (GADF). Subsequently, the characteristic feature in the image data was studied by convolutional neural networks (CNNs) to predict the structural damage conditions. An experimental study on a scale model of a cable-stayed bridge was conducted to identify the damage of stay cables under the moving vehicle load on the main girders. The CNN was employed to extract the characteristic features from the time-varying monitoring data of vehicle–bridge interactions. The CNN parameters were optimized to conduct the structural damage classification task. The performance of the proposed method was evaluated by comparing it with various traditional pre-trained networks. The effect of environmental noise on the prediction accuracy was also investigated. The numerical results show that the ResNet model has the best performance in terms of damage identification accuracy and convergence speed, achieving higher accuracy and faster convergence compared to the other four traditional networks. The method can accurately identify damage on bridges using insufficient sensors on the bridge deck, which has valuable potential for application to real-world bridges with monitoring data. As the Signal-to-Noise Ratio (SNR) decreases from 20 dB to 2.5 dB, the prediction accuracy of ResNet decreases from 86.63% to 62.5%, which demonstrates the robustness and reliability in identifying structural damage. Full article
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<p>Residual block structure diagram: (<b>a</b>) Same; (<b>b</b>) Different.</p>
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<p>Framework of a typical ResNet-34.</p>
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<p>Cable-stayed bridge layout: (<b>a</b>) overall layout; (<b>b</b>) cross-sectional dimensions; (<b>c</b>) spliced section dimensions; (<b>d</b>) plan view layout.</p>
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<p>Test details: (<b>a</b>) overall; (<b>b</b>) details.</p>
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<p>Test details: (<b>a</b>) overall; (<b>b</b>) details.</p>
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<p>Three-dimensional diagram of damage test arrangement of cable-stayed bridge: (<b>a</b>) accelerometer location diagram; (<b>b</b>) overall layout diagram.</p>
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<p>Three-dimensional diagram of damage test arrangement of cable-stayed bridge: (<b>a</b>) accelerometer location diagram; (<b>b</b>) overall layout diagram.</p>
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<p>Different damage conditions: (<b>a</b>) healthy state; (<b>b</b>) single-cable damage; (<b>c</b>) multiple-cable damage.</p>
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<p>Comparison of time domain signals: (<b>a</b>) health condition; (<b>b</b>) single-cord damage condition; (<b>c</b>) double-cord damage condition.</p>
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<p>Signal-to-picture classification and recognition flowchart.</p>
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<p>Comparisons of four network recognition under accuracy and damage: (<b>a</b>) SVM. (<b>b</b>) AlexNet. (<b>c</b>) GoogLeNet. (<b>d</b>) ResNet.</p>
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<p>Comparisons of four network recognition under accuracy and damage: (<b>a</b>) SVM. (<b>b</b>) AlexNet. (<b>c</b>) GoogLeNet. (<b>d</b>) ResNet.</p>
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<p>Comparison chart of the accuracy of the four networks.</p>
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<p>Confusion matrix for different networks: (<b>a</b>) AlexNet. (<b>b</b>) ResNet.</p>
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<p>Test accuracy and loss for different Signal-to-Noise Ratio scenarios: (<b>a</b>) accuracy; (<b>b</b>) loss.</p>
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18 pages, 7528 KiB  
Article
Influence of Flow Control Devices on Mixing Phenomena in the Ladle with Top Lance Stirring System—Numerical and Physical Modeling
by Adam Cwudziński
Materials 2024, 17(24), 6130; https://doi.org/10.3390/ma17246130 (registering DOI) - 15 Dec 2024
Viewed by 154
Abstract
In this paper, the influence of the structure of the bottom of the ladle with ceramic dam or set of dams on the mixing process was assessed, determining the mixing time required to achieve the level of 95% chemical homogenization. The 0.1 scale [...] Read more.
In this paper, the influence of the structure of the bottom of the ladle with ceramic dam or set of dams on the mixing process was assessed, determining the mixing time required to achieve the level of 95% chemical homogenization. The 0.1 scale water model was used for the physical experiments. The numerical simulations were carried out in the Ansys-Fluent 12.1 software for a 1:1 scale ladle and the behavior of hot metal—nitrogen system. The research focused on three issues, i.e., the influence of the flow rate of technical gas, the influence of the position of the top injection lance, and the influence of the type of dam mounted in the ladle bottom. Finally, the use of a semi-circle dam or set of dams in the ladle bottom together with the top lance being set to a lower depth resulted in a significant reduction in the total mixing time of the liquid metal by 42% and 50%, respectively, without increasing the nitrogen flow rate. Full article
(This article belongs to the Section Metals and Alloys)
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<p>Ladle sketch: (<b>a</b>) full scale ladle numerical model, (<b>b</b>) 0.1 scale ladle physical model.</p>
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<p>Ladle sketch with locations of considered flow control devices.</p>
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<p>Numerical model validation: (<b>a</b>) mixing curve for N<sub>2</sub> flow rate: 317 NL/min, (<b>b</b>) mixing curve for N<sub>2</sub> flow rate: 635 NL/min, (<b>c</b>) time mixing for both considered flow rates.</p>
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<p>Mixing curves: (<b>a</b>) case No. 1 of hot metal stirring, (<b>b</b>) case No. 2 of hot metal stirring, (<b>c</b>) case No. 7 of hot metal stirring, (<b>d</b>) case No. 8 of hot metal stirring.</p>
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<p>Local mixing time: (<b>a</b>) measurement point No. 1, (<b>b</b>) measurement point No. 2, (<b>c</b>) measurement point No. 3, (<b>d</b>) measurement point No. 4, (<b>e</b>) measurement point No. 5, (<b>f</b>) measurement point No. 6.</p>
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<p>Local mixing time: (<b>a</b>) measurement point No. 1, (<b>b</b>) measurement point No. 2, (<b>c</b>) measurement point No. 3, (<b>d</b>) measurement point No. 4, (<b>e</b>) measurement point No. 5, (<b>f</b>) measurement point No. 6.</p>
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<p>Total mixing time for considered hot metal stirring conditions.</p>
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<p>Hydrodynamics inside hot metal bulk (stirring case No. 1): (<b>a</b>) vertical central plane, (<b>b</b>) horizontal plane at level 0.25 m from ladle bottom, (<b>c</b>) horizontal plane at level 1.375 m from ladle bottom, (<b>d</b>) horizontal plane at level 2.5 m from ladle bottom.</p>
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<p>Hydrodynamics inside hot metal bulk (stirring case No. 1): (<b>a</b>) vertical central plane, (<b>b</b>) horizontal plane at level 0.25 m from ladle bottom, (<b>c</b>) horizontal plane at level 1.375 m from ladle bottom, (<b>d</b>) horizontal plane at level 2.5 m from ladle bottom.</p>
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<p>Hydrodynamics inside hot metal bulk (stirring case No. 2): (<b>a</b>) vertical central plane, (<b>b</b>) horizontal plane at level 0.25 m from ladle bottom, (<b>c</b>) horizontal plane at level 1.375 m from ladle bottom, (<b>d</b>) horizontal plane at level 2.5 m from ladle bottom.</p>
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<p>Hydrodynamics inside hot metal bulk—vertical central plane: (<b>a</b>) stirring case No. 3, (<b>b</b>) stirring case No. 4, (<b>c</b>) stirring case No. 5, (<b>d</b>) stirring case No. 6.</p>
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<p>Hydrodynamics inside hot metal bulk (stirring case No. 7): (<b>a</b>) vertical central plane, (<b>b</b>) horizontal plane at level 0.25 m from ladle bottom, (<b>c</b>) horizontal plane at level 1.375 m from ladle bottom, (<b>d</b>) horizontal plane at level 2.5 m from ladle bottom.</p>
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<p>Hydrodynamics inside hot metal bulk (stirring case No. 7): (<b>a</b>) vertical central plane, (<b>b</b>) horizontal plane at level 0.25 m from ladle bottom, (<b>c</b>) horizontal plane at level 1.375 m from ladle bottom, (<b>d</b>) horizontal plane at level 2.5 m from ladle bottom.</p>
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<p>Hydrodynamics inside hot metal bulk (stirring case No. 8): (<b>a</b>) vertical central plane, (<b>b</b>) horizontal plane at level 0.25 m from ladle bottom, (<b>c</b>) horizontal plane at level 1.375 m from ladle bottom, (<b>d</b>) horizontal plane at level 2.5 m from ladle bottom.</p>
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14 pages, 2003 KiB  
Article
Numerical Solution of the Sine–Gordon Equation by Novel Physics-Informed Neural Networks and Two Different Finite Difference Methods
by Svetislav Savović, Miloš Ivanović, Branko Drljača and Ana Simović
Axioms 2024, 13(12), 872; https://doi.org/10.3390/axioms13120872 (registering DOI) - 15 Dec 2024
Viewed by 170
Abstract
This study employs a novel physics-informed neural network (PINN) approach, the standard explicit finite difference method (EFDM) and unconditionally positivity preserving FDM to tackle the one-dimensional Sine–Gordon equation (SGE). Two test problems with known analytical solutions are investigated to demonstrate the effectiveness of [...] Read more.
This study employs a novel physics-informed neural network (PINN) approach, the standard explicit finite difference method (EFDM) and unconditionally positivity preserving FDM to tackle the one-dimensional Sine–Gordon equation (SGE). Two test problems with known analytical solutions are investigated to demonstrate the effectiveness of these techniques. While the three employed approaches demonstrate strong agreement, our analysis reveals that the EFDM results are in the best agreement with the analytical solutions. Given the consistent agreement between the numerical results from the EFDM, unconditionally positivity preserving FDM and PINN approach and the analytical solutions, all three methods are recommended as competitive options. The solution techniques employed in this study can be a valuable asset for present and future model developers engaged in various nonlinear physical wave phenomena, such as propagation of solitons in optical fibers. Full article
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<p>The architecture of a PINN and its standard training procedure were developed to tackle a basic partial differential equation, with PDE and Cond denoting the governing equations, and <span class="html-italic">R</span> and <span class="html-italic">I</span> representing the residuals. Following training, the approximator network furnishes an estimated solution. The residual network, an intrinsic but non-trainable element of a PINN, is adept at computing derivatives of the approximator network outputs with respect to inputs and generating the composite loss function, symbolized by MSE.</p>
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<p>(<b>a</b>) EFD, (<b>b</b>) CCFD and (<b>c</b>) PINN solutions of Test problem 1 in three dimensions at different times.</p>
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<p>(<b>a</b>) EFD, (<b>b</b>) CCFD and (<b>c</b>) PINN solutions of Test problem 2 in three dimensions at different times.</p>
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13 pages, 915 KiB  
Article
Relationship Between Psychological Factors and Health-Related Quality of Life in Patients with Chronic Low Back Pain
by Iva Dimitrijević, Dijana Hnatešen, Ivan Radoš, Dino Budrovac and Marija Raguž
Healthcare 2024, 12(24), 2531; https://doi.org/10.3390/healthcare12242531 (registering DOI) - 15 Dec 2024
Viewed by 166
Abstract
Background: Low back pain has frequently been mentioned as the most common sort of chronic pain, and numerous studies have confirmed its influence on the health-related quality of life (HRQoL). Despite a great deal of research demonstrating the important part that psychological factors [...] Read more.
Background: Low back pain has frequently been mentioned as the most common sort of chronic pain, and numerous studies have confirmed its influence on the health-related quality of life (HRQoL). Despite a great deal of research demonstrating the important part that psychological factors play in explaining HRQoL, a therapeutic setting that prioritizes the physical domain still predominates. For this reason, the aim of this study is to assess the relationship between age, pain intensity, pain catastrophizing, depression, anxiety, pain-related anxiety, chronic pain acceptance and the psychological and physical dimensions of HRQoL in patients with chronic low back pain (CLBP). Methods: Data were collected from 201 patients with CLBP using sociodemographic data, the SF-36 Health Status Questionnaire (SF-36), the Hospital Anxiety and Depression Scale (HADS), the Pain Anxiety Symptoms Scale Short Form 20 (PASS-20), the Pain Catastrophizing Scale (PCS), the Chronic Pain Acceptance Questionnaire (CPAQ-8) and the Numeric Pain Rating Scale (NRS). The linear regression model for the dependent variable of Physical Health (SF-36 PhyH) was statistically significant (F (7, 201) = 38.951, p < 0.05), explaining 57.6% of the variance regarding the Physical Health dimension of HRQL in patients with CLBP. Results: The linear regression model for the dependent variable of Psychological Health (SF-36 PsyH) was statistically significant (F (7, 200) = 39.049, p < 0.05), explaining 57.7% of the variance regarding the Psychological Health dimension of HRQL in patients with CLBP. Conclusions: The findings of this study confirm that age, pain intensity, depression, pain-related anxiety and chronic pain acceptance are significant predictors of the physical dimension of HRQoL, while pain intensity, anxiety and depression proved to be significant predictors of the psychological dimension of HRQoL in patients with CLBP. Full article
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<p>Study design.</p>
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<p>B coefficients of linear regression analysis for the dependent variable SF-PhyH.</p>
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<p>B coefficients of linear regression analysis for the dependent variable SF-PsyH.</p>
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21 pages, 1558 KiB  
Article
Preview-Based Optimal Control for Trajectory Tracking of Fully-Actuated Marine Vessels
by Xiaoling Liang, Jiang Wu, Hao Xie and Yanrong Lu
Mathematics 2024, 12(24), 3942; https://doi.org/10.3390/math12243942 (registering DOI) - 14 Dec 2024
Viewed by 316
Abstract
In this paper, the problem of preview optimal control for second-order nonlinear systems for marine vessels is discussed on a fully actuated dynamic model. First, starting from a kinematic and dynamic model of a three-degrees-of-freedom (DOF) marine vessel, we derive a fully actuated [...] Read more.
In this paper, the problem of preview optimal control for second-order nonlinear systems for marine vessels is discussed on a fully actuated dynamic model. First, starting from a kinematic and dynamic model of a three-degrees-of-freedom (DOF) marine vessel, we derive a fully actuated second-order dynamic model that involves only the ship’s position and yaw angle. Subsequently, through the higher-order systems methodology, the nonlinear terms in the system were eliminated, transforming the system into a one-order parameterized linear system. Next, we designed an internal model compensator for the reference signal and constructed a new augmented error system based on this compensator. Then, using optimal control theory, we designed the optimal preview controller for the parameterized linear system and the corresponding feedback parameter matrices, which led to the preview controller for the original second-order nonlinear system. Finally, a numerical simulation indicates that the controller designed in this paper is highly effective. Full article
(This article belongs to the Special Issue Analysis and Applications of Control Systems Theory)
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