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24 pages, 9799 KiB  
Article
Analysis of Damage to Reinforced Concrete Beams Under Explosive Effects of Different Shapes, Equivalents, and Distances
by Yu Ma, Rongyue Zheng, Wei Wang, Chenzhen Ye, Wenzhe Luo and Sihao Shen
Buildings 2025, 15(3), 452; https://doi.org/10.3390/buildings15030452 - 31 Jan 2025
Abstract
Optimizing structural resistance against blast loads critically depends on the effects of different explosive shapes, equivalents, and distances on the damage characteristics of reinforced concrete beams. This study bridges the knowledge gap in understanding how these factors influence damage mechanisms through close-range air [...] Read more.
Optimizing structural resistance against blast loads critically depends on the effects of different explosive shapes, equivalents, and distances on the damage characteristics of reinforced concrete beams. This study bridges the knowledge gap in understanding how these factors influence damage mechanisms through close-range air blast experiments and LS-DYNA numerical simulations. Key damage characteristics, such as craters, overpressure, impulse, time-history displacement, and residual mid-span displacement of reinforced concrete beams, were thoroughly analyzed. Results show that cuboid-shaped explosives cause the greatest damage, with the most severe effects observed at shorter distances and higher charge weights, including an increase in mid-span displacement of up to 16.3 cm. The study highlights the pivotal role of explosive geometry, charge weight, and standoff distance in shock wave propagation and structural failure and proposes an optimized damage criterion to enhance predictive capabilities for reinforced concrete beams under blast loads. Full article
(This article belongs to the Section Building Structures)
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Figure 1
<p>Reinforcement diagram of the reinforced concrete beam.</p>
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<p>Schematic diagram of the experimental setup.</p>
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<p>On-site layout diagram.</p>
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<p>Explosive arrangement diagram for the experiment (<b>a</b>) S-1 test, 2 kg, 50 cm, (<b>b</b>) S-2 test, 6 kg, 50 cm, (<b>c</b>) S-3 test, 10 kg, 50 cm, and (<b>d</b>) S-4 test, 6 kg, 25 cm.</p>
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<p>Overpressure sensor arrangement diagram.</p>
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<p>On-site overpressure sensor arrangement diagram.</p>
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<p>Overall damage diagram of the reinforced concrete beam in the (<b>a</b>) S-1 test, 2 kg, 50 cm, (<b>b</b>) S-2 test, 6 kg, 50 cm, (<b>c</b>) S-3 test, 10 kg, 50 cm, and (<b>d</b>) S-4 test, 6 kg, 25 cm.</p>
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<p>Local damage diagram of the blast-facing surface in the (<b>a</b>) S-1 test, 2 kg, 50 cm, (<b>b</b>) S-2 test, 6 kg, 50 cm, (<b>c</b>) S-3 test, 10 kg, 50 cm, (<b>d</b>) S-4 test, 6 kg, 25 cm.</p>
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<p>Finite element models: (<b>a</b>) FE model of the concrete beam and supports, (<b>b</b>) FE model of the air domain, and (<b>c</b>) FE model of the reinforcement.</p>
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<p>Effect of element size on maximum residual displacement.</p>
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<p>Comparison of the overall damage modes.</p>
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<p>Comparison of local damage dimensions.</p>
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<p>Experimental and numerical simulation overpressure time-history curves from the (<b>a</b>) S-1 test P1 and (<b>b</b>) S-1 test P2.</p>
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<p>Numerical simulation damage diagrams FOR (<b>a</b>) M-1, 2 kg, 50 cm, sphere, (<b>b</b>) M-2, 2 kg, 50 cm, cuboid, (<b>c</b>) M-3, 2 kg, 25 cm sphere, (<b>d</b>) M-4, 2 kg, 25 cm, cuboid, (<b>e</b>) M-5, 4 kg, 50 cm, sphere, (<b>f</b>) M-6, 4 kg, 50 cm, cuboid, (<b>g</b>) M-7, 4 kg, 25 cm, sphere, (<b>h</b>) M-8, 4 kg, 25 cm, cuboid, (<b>i</b>) M-9, 6 kg, 50 cm, sphere, (<b>j</b>) M-10, 6 kg, 50 cm, cuboid, (<b>k</b>) M-11, 6 kg, 25 cm, sphere, (<b>l</b>) M-12, 6 kg, 25 cm, cuboid, (<b>m</b>) M-13, 10 kg, 50 cm sphere, and (<b>n</b>) M-14, 10 kg, 50 cm, cuboid.</p>
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<p>Maximum residual displacement of the beam.</p>
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<p>Depth of explosion crater on the beam.</p>
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<p>Displacement time-history curves of explosives under different charges and standoff distances.</p>
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<p>Displacement time-history curves under different explosive shapes.</p>
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<p>Overpressure time-history curves of explosives under different charges.</p>
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<p>Impulse time-history curves of explosives under different charges.</p>
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<p>Overpressure time-history curves of explosives under different standoff distances.</p>
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<p>Impulse time-history curves of explosives under different standoff distances.</p>
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<p>Overpressure time-history curves under different explosive shapes.</p>
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<p>Impulse time-history curves under different explosive shapes.</p>
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22 pages, 3003 KiB  
Article
Research on a New Method of Macro–Micro Platform Linkage Processing for Large-Format Laser Precision Machining
by Longjie Xiong, Haifeng Ma, Zheng Sun, Xintian Wang, Yukui Cai, Qinghua Song and Zhanqiang Liu
Micromachines 2025, 16(2), 177; https://doi.org/10.3390/mi16020177 - 31 Jan 2025
Abstract
In recent years, the macro–micro structure (servo platform for macro motion and galvanometer for micro motion) composed of a galvanometer and servo platform has been gradually applied to laser processing in order to address the increasing demand for high-speed, high-precision, and large-format precision [...] Read more.
In recent years, the macro–micro structure (servo platform for macro motion and galvanometer for micro motion) composed of a galvanometer and servo platform has been gradually applied to laser processing in order to address the increasing demand for high-speed, high-precision, and large-format precision machining. The research in this field has evolved from step-and-scan methods to linkage processing methods. Nevertheless, the existing linkage processing methods cannot make full use of the field-of-view (FOV) of the galvanometer. In terms of motion distribution, the existing methods are not suitable for continuous micro segments and generate the problem that the distribution parameter can only be obtained through experience or multiple experiments. In this research, a new laser linkage processing method for global trajectory smoothing of densely discretized paths is proposed. The proposed method can generate a smooth trajectory of the servo platform with bounded acceleration by the finite impulse response (FIR) filter under the global blending error constrained by the galvanometer FOV. Moreover, the trajectory of the galvanometer is generated by vector subtraction, and the motion distribution of macro–micro structure is accurately realized. Experimental verification is carried out on an experimental platform composed of a three-axis servo platform, a galvanometer, and a laser. Simulation experiment results indicate that the processing efficiency of the proposed method is improved by 79% compared with the servo platform processing only and 55% compared with the previous linkage processing method. Furthermore, the method can be successfully utilized on experimental platforms with good tracking performance. In summary, the proposed method adeptly balances efficiency and quality, rendering it particularly suitable for laser precision machining applications. Full article
(This article belongs to the Section E:Engineering and Technology)
16 pages, 1265 KiB  
Article
Changes in Small Airway Physiology Measured by Impulse Oscillometry in Subjects with Allergic Asthma Following Methacholine and Inhaled Allergen Challenge
by Henning Stenberg, Rory Chan, Khalid Abd-Elaziz, Arjen Pelgröm, Karin Lammering, Gerda Kuijper-De Haan, Els Weersink, René Lutter, Aeilko H. Zwinderman, Frans de Jongh and Zuzana Diamant
J. Clin. Med. 2025, 14(3), 906; https://doi.org/10.3390/jcm14030906 - 30 Jan 2025
Viewed by 377
Abstract
Background: Small airway dysfunction (SAD) is associated with impaired asthma control, but small airway physiology is not routinely assessed in clinical practice. Previously, we demonstrated impulse oscillometry (IOS)-defined small airway dysfunction (SAD) in dual responders (DRs) upon bronchoprovocation with various allergens. Aim [...] Read more.
Background: Small airway dysfunction (SAD) is associated with impaired asthma control, but small airway physiology is not routinely assessed in clinical practice. Previously, we demonstrated impulse oscillometry (IOS)-defined small airway dysfunction (SAD) in dual responders (DRs) upon bronchoprovocation with various allergens. Aim: To compare lung physiology using spirometry and IOS following bronchoprovocation with methacholine (M) and inhaled house dust mite (HDM) extract in corticosteroid-naïve asthmatic subjects. Methods: Non-smoking, clinically stable HDM-allergic asthmatic subjects (18–55 years, FEV1 > 70% of pred.) underwent an M and inhaled HDM challenge on two separate days. Airway response was measured by IOS and spirometry, until a drop in FEV1 ≥ 20% (PC20) from post-diluent baseline (M), and up to 8 h post-allergen (HDM). Early (EAR) and late asthmatic response (LAR) to HDM were defined as ≥20% and ≥15% fall in FEV1 from post-diluent baseline during 0–3 h and 3–8 h post-challenge, respectively. IOS parameters (Rrs5, Rrs20, Rrs5-20, Xrs5, AX, Fres) were compared between mono-responders (MRs: EAR only) and dual responders (EAR + LAR). Correlations between maximal % change from baseline after the two airway challenges were calculated for both FEV1 and IOS parameters. Results: A total of 47 subjects were included (11 MRs; 36 DRs). FEV1 % predicted did not differ between MR and DR at baseline, but DR had lower median PC20M (0.84 (range 0.07–7.51) vs. MR (2.15 (0.53–11.29)); p = 0.036). During the LAR, DRs had higher IOS values than MRs. For IOS parameters (but not for FEV1), the maximal % change from baseline following M and HDM challenge were correlated. PC20M was inversely correlated with the % change in FEV1 and the % change in Xrs5 during the LAR (r= −0.443; p = 0.0018 and r= −0.389; p = 0.0075, respectively). Conclusions: During HDM-induced LAR, changes in small airway physiology can be non-invasively detected with IOS and are associated with increased airway hyperresponsiveness and changes in small airway physiology during methacholine challenge. DRs have a small airways phenotype, which reflects a more advanced airway disease. Full article
(This article belongs to the Section Pulmonology)
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<p>Mean % change from post-diluent baseline of spirometry and oscillometry measurements in response to methacholine/histamine at screening visit 2 (S2). Data shown for MR (red) and DR (green); solid lines are mean values; dotted lines refer to 95%CIs.</p>
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<p>Mean differences in % change of spirometry and oscillometry values comparing DR versus MR to HDM challenge over time. Dotted lines refer to 95%CIs.</p>
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<p>Association between methacholine/histamine PC<sub>20</sub> and maximal % change in FEV<sub>1</sub> (<b>upper panel</b>) and Xrs5 (<b>lower panel</b>) during the LAR.</p>
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21 pages, 3626 KiB  
Article
Exploring Factors Influencing Speech Intelligibility in Airport Terminal Pier-Style Departure Lounges
by Xi Li and Yuezhe Zhao
Buildings 2025, 15(3), 426; https://doi.org/10.3390/buildings15030426 - 29 Jan 2025
Viewed by 296
Abstract
This study investigates speech intelligibility and its influencing factors within pier-style airport lounges and assesses the applicability of the Speech Transmission Index (STI) in these large, elongated spaces. Field impulse response measurements were conducted in two pier-style departure lounges with volumes of 98,099 [...] Read more.
This study investigates speech intelligibility and its influencing factors within pier-style airport lounges and assesses the applicability of the Speech Transmission Index (STI) in these large, elongated spaces. Field impulse response measurements were conducted in two pier-style departure lounges with volumes of 98,099 m3 and 60,414 m3, respectively, complemented by simulated binaural room impulse responses for subjective speech intelligibility testing in Mandarin. The research explores the correlations between various acoustic parameters—Early Decay Time (EDT), Reverberation Time (T30), and Definition(D50)—and speech intelligibility scores under different Signal-to-Noise Ratios (SNRs). Findings indicate a significant impact of SNR on speech intelligibility, with a coefficient of determination (R2) of 0.849, suggesting substantial variability explained by SNR. As SNR increases to 10 dB(A), speech intelligibility scores improve significantly; however, further enhancements in clarity diminish beyond this threshold. Additionally, the study reveals a significant relationship between room acoustic parameters, particularly EDT and D50, and speech intelligibility scores, with EDT having a negative impact and D50 a positive impact on speech clarity. The results confirm the suitability of STI in evaluating speech intelligibility in these specific architectural contexts. This study recommends maintaining an SNR of 10 dB(A) and a minimum STI of 0.45 for public address broadcasts in pier-style departure lounges to ensure that announcements are clearly audible to passengers. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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<p>Interior view and measurement photos of the pier-style departure lounge at Haikou Meilan International Airport (HAK).</p>
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<p>Layout of the receiver positions and sound sources in the two departure lounges.</p>
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<p>Terminal acoustic parameter measurement instrument connection solution.</p>
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<p>Relation between speech intelligibility scores and the SNR of four listening positions in pier-style departure lounges.</p>
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<p>Relation between speech intelligibility scores and the SNR in pier-style departure lounges.</p>
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<p>The relationship between speech intelligibility scores of different SNRs and T<sub>30</sub>, EDT and D50 in pier-style departure lounges.</p>
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<p>Relation between speech intelligibility scores and STI in pier-style departure lounges.</p>
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<p>Relation between speech intelligibility scores and STI in pier-style departure lounges and other spaces [<a href="#B21-buildings-15-00426" class="html-bibr">21</a>,<a href="#B24-buildings-15-00426" class="html-bibr">24</a>,<a href="#B27-buildings-15-00426" class="html-bibr">27</a>].</p>
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<p>The relationship between SNR and both speech intelligibility scores and subjective evaluations of broadcast clarity.</p>
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<p>Regression curve of STI to speech intelligibility scores and optimal STI value for pier-style departure lounges.</p>
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19 pages, 892 KiB  
Article
Fixed/Preassigned Time Synchronization of Impulsive Fractional-Order Reaction–Diffusion Bidirectional Associative Memory (BAM) Neural Networks
by Rouzimaimaiti Mahemuti, Abdujelil Abdurahman and Ahmadjan Muhammadhaji
Fractal Fract. 2025, 9(2), 88; https://doi.org/10.3390/fractalfract9020088 - 28 Jan 2025
Viewed by 272
Abstract
This study delves into the synchronization issues of the impulsive fractional-order, mainly the Caputo derivative of the order between 0 and 1, bidirectional associative memory (BAM) neural networks incorporating the diffusion term at a fixed time (FXT) and a predefined time (PDT). Initially, [...] Read more.
This study delves into the synchronization issues of the impulsive fractional-order, mainly the Caputo derivative of the order between 0 and 1, bidirectional associative memory (BAM) neural networks incorporating the diffusion term at a fixed time (FXT) and a predefined time (PDT). Initially, this study presents certain characteristics of fractional-order calculus and several lemmas pertaining to the stability of general impulsive nonlinear systems, specifically focusing on FXT and PDT stability. Subsequently, we utilize a novel controller and Lyapunov functions to establish new sufficient criteria for achieving FXT and PDT synchronizations. Finally, a numerical simulation is presented to ascertain the theoretical dependency. Full article
11 pages, 894 KiB  
Article
The Role of Impulse Oscillometry in Detection of Preserved Ratio Impaired Spirometry (PRISm)
by Chalerm Liwsrisakun, Warawut Chaiwong, Athavudh Deesomchok, Pilaiporn Duangjit and Chaicharn Pothirat
Adv. Respir. Med. 2025, 93(1), 2; https://doi.org/10.3390/arm93010002 - 27 Jan 2025
Viewed by 307
Abstract
Background: Information is limited regarding the role of impulse oscillometry (IOS) for the detection of preserved ratio impaired spirometry (PRISm). Therefore, we aimed to study the diagnostic ability of IOS in differentiating between PRISm and healthy subjects. Methods: This retrospective data collection was [...] Read more.
Background: Information is limited regarding the role of impulse oscillometry (IOS) for the detection of preserved ratio impaired spirometry (PRISm). Therefore, we aimed to study the diagnostic ability of IOS in differentiating between PRISm and healthy subjects. Methods: This retrospective data collection was done at the Lung Health Center, Faculty of Medicine, Chiang Mai University, Thailand between July 2019 and April 2022. The potential diagnostic possibilities of difference in resistance at 5 Hz (R5) and resistance at 20 Hz (R20) (R5-R20) for PRISm detection were analyzed. Results: The prevalence of PRISm was higher when using the fixed ratio (FR) criteria (FEV1/FVC ≥0.7 with FEV1 < 80% of predicted value) compared to the lower limit of normal (LLN) criteria (FEV1/FVC ≥ LLN and FEV1 < LLN) (10.0% vs. 4.2%). The %prediction for R5-R20 provided an acceptable area under the curve (AUC) for PRISm, defined by the LLN and the FR criteria (AuROC = 0.75 (95%CI; 0.64, 0.85) and 0.72 (95%CI; 0.63, 0.81), respectively). The cut-off value of %predicted R5-R20 ≥120% resulted in the highest sensitivity and specificity for detecting PRISm. Conclusions: The %predicted of R5-R20 ≥ 120% showed an acceptable performance for PRISm detection and PRISm may be detected by IOS. Full article
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<p>Study flow chart. <b>Abbreviations:</b> LLN, lower limit of normal, FR, fixed ratio; OA, obstructive airway; PRISm, preserved ratio impaired spirometry; COPD, chronic obstructive pulmonary disease.</p>
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<p>Receiver Operating Characteristic (ROC) Curves of R5-R20 for Detection of PRISm. <b>Note:</b> (<b>A</b>) lower limit of normal criteria; (<b>B</b>) fixed ratio criteria.</p>
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16 pages, 18175 KiB  
Article
Ultrasonic Resonance Fatigue Testing of 6082 Aluminum Alloy
by Diyan M. Dimitrov, Stoyan D. Slavov, Desislava Y. Mincheva and Adélio M. S. Cavadas
Metals 2025, 15(2), 127; https://doi.org/10.3390/met15020127 - 27 Jan 2025
Viewed by 387
Abstract
This study explores the fatigue properties of EN AW-6082-T6 aluminum alloy in the gigacycle range (106–109 cycles), using ultrasonic resonance fatigue testing at 20 kHz in a push–pull mode with a symmetric load cycle (R = −1). A custom-built ultrasonic [...] Read more.
This study explores the fatigue properties of EN AW-6082-T6 aluminum alloy in the gigacycle range (106–109 cycles), using ultrasonic resonance fatigue testing at 20 kHz in a push–pull mode with a symmetric load cycle (R = −1). A custom-built ultrasonic fatigue machine, developed at TU-Varna, comprising a generator, ultrasonic train (including a high-power transducer, booster, custom-made sonotrode, and specimen), monitoring, data logging systems, and an air-cooling capability, was used for the experiments conducted. A Bezier curve sonotrode, with an amplification ratio of 1:6, was designed and produced for the test. Hourglass-shaped specimens were designed on the base of the dynamic Young’s modulus E = 71.3 GPa, determined through the impulse resonance method (ASTM E1876-01), and validated with FEM analysis for resonance length and stress amplitude. The fatigue testing revealed a fatigue strength reduction of approximately 60 MPa between 106 and 109 cycles. The percentile of failure curves based on a Cactillo–Canteli model fits well with the experimental data and gives a fatigue limit at 109 cycles σl = 104 MPa and “endurance strength” σw = 84 MPa. Surface crack initiation was consistently observed with predominately cleavage transgranular fractures in the fatigue zone. The present research highlights the utility of ultrasonic testing for examining fatigue behavior in the gigacycle regime. Full article
(This article belongs to the Section Metal Failure Analysis)
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<p>Microstructure of the AW 6082-T (light optical microscope: (<b>a</b>,<b>b</b>) fragments; SEM (<b>c</b>,<b>d</b>)).</p>
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<p>Microstructure of the AW 6082-T (light optical microscope: (<b>a</b>,<b>b</b>) fragments; SEM (<b>c</b>,<b>d</b>)).</p>
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<p>Ultrasonic resonance 20 kHz fatigue test unit, designed in Strength of Materials Lab in TU-Varna: (<b>a</b>) block scheme; (<b>b</b>) physical device; u(x)—axial displacement amplitude; σ(x) = E.du/dx normal stress amplitude. (1)—Generator 1 kW (MPI Ultrasonics, Switzerland); (2)—high-power piezoceramic transducer (MPI Ultrasonics, Switzerland); (3)—Booster Gold (1:1.5); (4)—Bezier sonotrode Ti4Al6V; (5)—dynamic strain gauge (PVDF foil); (6)—specimen; (7)—vortex tube; (8)—IR thermometer (MLX90614); (9)—fiberoptic sensor (Philtec D20); (10)—comparator; (11)—ADC (NI 6216); (12) computer with LabView.</p>
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<p>Sonotrode design. (<b>a</b>) Axial modal shape close to 20 kHz; (<b>b</b>) stress distribution from axial harmonic load caused by unit displacement at the higher diameter phase.</p>
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<p>Steps for obtaining sonotrode with optimal shape and dimensions, using CAD/CAM software.</p>
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<p>Specimen design and stress FEM modal solution: (<b>a</b>) specimen drawing; (<b>b</b>) normal stress distribution under boundary load in axial direction at the free end, resulting in 1μm displacement amplitude at frequency of f = 20,014 Hz; (<b>c</b>) variation of axial displacement amplitude and the free end and maximal stress amplitude at the middle section in the vicinity of the resonance.</p>
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<p>Results from the fatigue test at 20 kHz (semilog plot) and fitted S-N curve in gigacycle range for EW 6082 -T6 with slopes <span class="html-italic">k</span> = 21.4 and <span class="html-italic">k</span> = 15.</p>
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<p>High-density interval 95% when fitted with both slopes’ experimental data. The reference two-slope curve for wrought Al alloys and random batch of generated posterior samples are included: (<b>a</b>) data fitted with slope parameter k = 21.4; (<b>b</b>) data fitted with slope parameter k = 15.0.</p>
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<p>P-S-N fatigue curves with Pf = 2.5, 50, 97.5%, calculated with Castillo–Canteli model.</p>
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<p>SEM micrographs AW 6082-T6. Fracture surface of specimen, broken at <span class="html-italic">N</span> = 1.03 × 10<sup>7</sup> at amplitude stress <span class="html-italic">σa</span> = 122 MPa: (<b>a</b>) surface detail of small crack initiation; (<b>b</b>) detail from fast fracture zone showing intergranular fracture and precipitates around grain boundaries; (<b>c</b>) overall view of fractured surface; (<b>d</b>) detail from fatigue crack development zone shows cleavage trans crystal fracture with visible deformation slip lines; (<b>e</b>,<b>f</b>) surface details from crack origin zone.</p>
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<p>SEM micrographs AW 6082-T6. Fracture surface of specimen, broken at <span class="html-italic">N</span> = 5.50 × 10<sup>7</sup> at amplitude stress <span class="html-italic">σ<sub>a</sub></span> = 132 MPa: (<b>a</b>) overall view of fracture surface, red line separates fatigue and fast fracture zones; (<b>b</b>) detail from transition zone, fatigue crack grows predominantly trans-crystal, but the fast fracture zone is ductile with dimples; (<b>c</b>) detail from crack initiation site; (<b>d</b>) detail from fatigue crack development zone.</p>
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13 pages, 4875 KiB  
Article
Probing Non-Equilibrium Pair-Breaking and Quasiparticle Dynamics in Nb Superconducting Resonators Under Magnetic Fields
by Joong-Mok Park, Zhi Xiang Chong, Richard H. J. Kim, Samuel Haeuser, Randy Chan, Akshay A. Murthy, Cameron J. Kopas, Jayss Marshall, Daniel Setiawan, Ella Lachman, Joshua Y. Mutus, Kameshwar Yadavalli, Anna Grassellino, Alex Romanenko and Jigang Wang
Materials 2025, 18(3), 569; https://doi.org/10.3390/ma18030569 - 27 Jan 2025
Viewed by 372
Abstract
We conducted a comprehensive study of the non-equilibrium dynamics of Cooper pair breaking, quasiparticle (QP) generation, and relaxation in niobium (Nb) cut from superconducting radio-frequency (SRF) cavities, as well as various Nb resonator films from transmon qubits. Using ultrafast pump–probe spectroscopy, we were [...] Read more.
We conducted a comprehensive study of the non-equilibrium dynamics of Cooper pair breaking, quasiparticle (QP) generation, and relaxation in niobium (Nb) cut from superconducting radio-frequency (SRF) cavities, as well as various Nb resonator films from transmon qubits. Using ultrafast pump–probe spectroscopy, we were able to isolate the superconducting coherence and pair-breaking responses. Our results reveal both similarities and notable differences in the temperature- and magnetic-field-dependent dynamics of the SRF cavity and thin-film resonator samples. Moreover, femtosecond-resolved QP generation and relaxation under an applied magnetic field reveals a clear correlation between non-equilibrium QPs and the quality factor of resonators fabricated by using different deposition methods, such as DC sputtering and high-power impulse magnetron sputtering. These findings highlight the pivotal influence of fabrication techniques on the coherence and performance of Nb-based quantum devices, which are vital for applications in superconducting qubits and high-energy superconducting radio-frequency applications. Full article
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Figure 1
<p>Temperature-dependent photoinduced reflectivity change <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math> of Nb SRF cavity cutout sample. (<b>a</b>) Schematic diagram of pair-breaking mechanism in superconducting Nb with ultrafast optical pump having photon energy <math display="inline"><semantics> <mrow> <mo>ℏ</mo> <mi>ω</mi> <mo>≫</mo> <mn>2</mn> <mi mathvariant="sans-serif">Δ</mi> </mrow> </semantics></math>. Thermal QPs are generated by high-frequency phonon via pair breaking. (<b>b</b>,<b>c</b>) Measured pump–probe <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math> dynamics for 2 mm thick Nb cavity cutout at 2.3 K, 6 K, and 8 K SC states and at 10 K, 12 K, and 15 K normal states above Tc. (<b>d</b>) Superconducting <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <msub> <mi>R</mi> <mrow> <mi>S</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math> signals are obtained with subtraction from average normal-state data.</p>
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<p>Temperature-dependent photoinduced reflectivity change <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math> of Nb thin films and QP density of Nb samples. (<b>a</b>,<b>c</b>,<b>e</b>) Temperature-dependent <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math> of Nb thin-film samples from T = 2.2 K to T = 15 K for top figures. (<b>b</b>,<b>d</b>,<b>f</b>) Superconducting state contributions in <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <msub> <mi>R</mi> <mrow> <mi>S</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math> components subtracted from average normal stage values for bottom figures. (<b>g</b>) Temperature-dependent equilibrium QP densities of HiPIMS, DC high power, DC LH power, SRF cavity samples. Pump fluence is set to be 3.0 <math display="inline"><semantics> <mo>μ</mo> </semantics></math> J/cm<sup>2</sup>.</p>
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<p>Magnetic-field-dependent <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math> of Nb samples. (<b>left</b>) Nb SRF cavity cutout <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math>: (<b>a</b>) low temperature at T = 2.2 K, (<b>b</b>) normal state at T = 10 K, (<b>c</b>) SC component <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <msub> <mi>R</mi> <mrow> <mi>S</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math> subtracted from average 10 K value. (<b>middle</b>) Thin-film Nb HiPIMS <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <mi>R</mi> </mrow> </semantics></math>: (<b>d</b>) low temperature at T = 2.2 K, (<b>e</b>) normal state at T = 10 K, (<b>f</b>) <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">Δ</mi> <mi>R</mi> <mo>/</mo> <msub> <mi>R</mi> <mrow> <mi>S</mi> <mi>C</mi> </mrow> </msub> </mrow> </semantics></math> subtraction from average 10 K value. (<b>g</b>) Magnetic-field-dependent thermal-equilibrium QP densities <math display="inline"><semantics> <mrow> <msub> <mi>n</mi> <mi>T</mi> </msub> <mrow> <mo>(</mo> <mi>B</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> of HiPIMS, DC high, DC LH, and SRF cavity samples. Pump fluence is set to be 3.0 <math display="inline"><semantics> <mo>μ</mo> </semantics></math>J/cm<sup>2</sup>.</p>
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<p>Power-dependent microwave characterization of Nb thin-film resonators. Loss tangent <math display="inline"><semantics> <mrow> <mi>t</mi> <mi>a</mi> <mi>n</mi> <mo>(</mo> <mi>δ</mi> <mo>)</mo> </mrow> </semantics></math> power spectra for three selected resonators made with (<b>a</b>) HiPIMS, (<b>b</b>) DC LH, (<b>c</b>) DC high samples. The device power (n) is converted to no. of photons operating at 5 GHz frequency. Different color traces are from different measurement scans. (<b>d</b>) Box plot of averaged loss tangent and (<b>e</b>) averaged internal <math display="inline"><semantics> <msub> <mi>Q</mi> <mi>i</mi> </msub> </semantics></math> of Nb thin-film resonators. Each point in box plots is median value for one measurement, showing variation between different measurement sweeps. Filled points are outlier values far from median values.</p>
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<p>(<b>left</b>) Optical skin depth of Nb with wavelength. (<b>right</b>) Real and imaginary parts of optical constant <math display="inline"><semantics> <mrow> <mi>n</mi> <mo>+</mo> <mi>i</mi> <mi>k</mi> </mrow> </semantics></math> of Nb.</p>
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<p>Peak value of photoinduced QP density Q(T) of Nb DC low–high sample.</p>
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20 pages, 3218 KiB  
Article
Shear Wave Elastography Evaluation of Testicular Stiffness in Dogs Affected by Testicular Pathology
by Tiziana Caspanello, Viola Zappone, Riccardo Orlandi, Monica Sforna, Cristano Boiti, Letizia Sinagra, Giulia Donato, Massimo De Majo, Nicola Maria Iannelli and Alessandro Troisi
Animals 2025, 15(3), 353; https://doi.org/10.3390/ani15030353 - 26 Jan 2025
Viewed by 338
Abstract
Shear wave elastography (SWE) is an advanced ultrasound technique that assesses tissue stiffness by measuring shear wave speed (SWS) produced after an acoustic impulse. It includes bidimensional (2D-SWE) and focal point (pSWE) methods, allowing qualitative and quantitative analysis of tissue stiffness. This study [...] Read more.
Shear wave elastography (SWE) is an advanced ultrasound technique that assesses tissue stiffness by measuring shear wave speed (SWS) produced after an acoustic impulse. It includes bidimensional (2D-SWE) and focal point (pSWE) methods, allowing qualitative and quantitative analysis of tissue stiffness. This study aimed to describe the elastographic features of testicular abnormalities in dogs, supported by histological findings. Eighteen dogs with testicular abnormalities underwent B-mode ultrasound, power and color Doppler ultrasound, 2D-SWE, and pSWE before orchiectomy. Five cryptorchid testes were excluded and thirty-one testes (12 normal, 7 with leydigomas, 6 with seminomas, 1 with a round cell tumor, and 5 with orchitis) were examined. Normal testes, lesions, and adjacent healthy tissues (no evident ultrasound changes, NEUC) were sampled. Testicular abnormalities presented SWS values of 1.05–4.89 m/s (2D-SWE) and 1.35–5.31 m/s (pSWE). Significant differences were observed among normal testes, NEUC areas, and those with orchitis, leydigomas, and seminomas by both 2D-SWE and pSWE. Normal testes were significantly softer than ones with leydigomas, seminomas, and orchitis, and NEUC areas also had different SWS values compared to those with tumors and orchitis (p < 0.05). However, SWE techniques lacked specificity in differentiating between orchitis and tumors. Diagnostic accuracy of SWE techniques for testicular lesions remains challenging and requires further investigation to fully address its clinical potential. Full article
(This article belongs to the Section Veterinary Clinical Studies)
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<p>Ultrasound image of a canine testis affected by a Leydig cell tumor, with B–mode (<b>a</b>) and color Doppler ultrasound (<b>b</b>).</p>
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<p>Gross anatomy (<b>a</b>,<b>b</b>) and 2D-SWE (<b>a’</b>,<b>b’</b>) appearance of a pair of testes, one being healthy (<b>a</b>,<b>a’</b>) and one affected by diffuse seminoma (<b>b</b>,<b>b’</b>).</p>
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<p>Appearance of gross anatomy (<b>a</b>) and ultrasonographic pSWE (<b>b</b>) in a dog with purulent orchitis. The green square represents the region of interest (ROI) in which the SWS is measured.</p>
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<p>Box plot of SWS values measured by 2D-SWE in normal, NEUC, and abnormal testes. The boxes and vertical lines represent, respectively, the 95% confidence interval for the mean and the range values; horizontal lines represent median values; spots represent outlier values.</p>
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<p>Box plot of average SWS values measured by pSWE in normal, NEUC, and abnormal testes. The boxes and vertical lines represent, respectively, the 95% confidence interval for the mean and the range values; horizontal lines represent median values; spots represent outlier values.</p>
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23 pages, 1525 KiB  
Article
Validity of the Italian Version of DIVA-5: Semi-Structured Diagnostic Interview for Adult ADHD Based on the DSM-5 Criteria
by Rosaria Di Lorenzo, Emanuela Latella, Federica Gualtieri, Anna Adriani, Paola Ferri and Tommaso Filippini
Healthcare 2025, 13(3), 244; https://doi.org/10.3390/healthcare13030244 - 26 Jan 2025
Viewed by 345
Abstract
Introduction: In 2019, an updated version of the Diagnostic Interview for ADHD in Adults (DIVA-5) was developed based on DSM-5 criteria, currently validated in Korean and Farsi. The aim of this study is to validate the DIVA-5 Italian version. Methods: 132 subjects in [...] Read more.
Introduction: In 2019, an updated version of the Diagnostic Interview for ADHD in Adults (DIVA-5) was developed based on DSM-5 criteria, currently validated in Korean and Farsi. The aim of this study is to validate the DIVA-5 Italian version. Methods: 132 subjects in the Adult ADHD Screening Center of AUSL-Modena, who agreed to participate in this study, were selected. Socio-demographic and clinical variables were collected. DIVA-5, Barkley Adult ADHD Rating Scale (BAARS), and Adult ADHD Self Rating Scale (ASRS-v1.1) were administered. We assessed the internal consistency of the DIVA-5 Italian version and its concurrent validity with ASRS-v1.1 and BAARS-IV. An exploratory factor analysis (EFA) was conducted to evaluate the construct validity, and a multiple linear regression to evaluate the predictive validity. Results: Our analysis indicated good internal consistence of the DIVA-5 Italian version (Cronbach’s alpha and Kuder coefficients ranged between 0.61 and 0.78). The EFA showed five factors representing specific variance. The correlation between the corresponding ADHD dimensions of DIVA-5 and BAARS was found to be statistically significant (Spearman’s coefficient ranged between 0.61 and 0.47, p = 0.000), while the correlation between the DIVA-5 dimensions and ASRS-v1.1 was statistically significant for all the dimensions except child hyperactivity/impulsivity. The multiple linear regression showed a positive association of the DIVA-5 score with the “job” variable and a negative association with “drug therapy”. DIVA-5 showed greater sensitivity for inattention in adulthood and greater specificity for hyperactivity/impulsivity in childhood. Conclusions: Our results confirm that the DIVA-5 Italian version represents a valid and reliable tool to diagnose adult ADHD. Full article
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<p>DIVA-5 score (means ± standard deviation).</p>
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<p>DIVA-5 screening of inattentive and hyperactive/impulsive dimensions in adulthood and childhood.</p>
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<p>BAARS-IV score (means ± standard deviation).</p>
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<p>Scree plot of exploratory factor analysis (EFA).</p>
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<p>Distribution of factors in ADHD dimensions.</p>
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16 pages, 1372 KiB  
Article
Improving Emotion Regulation, Internalizing Symptoms and Cognitive Functions in Adolescents at Risk of Executive Dysfunction—A Controlled Pilot VR Study
by Anna Carballo-Marquez, Aikaterini Ampatzoglou, Juliana Rojas-Rincón, Anna Garcia-Casanovas, Maite Garolera, Maria Fernández-Capo and Bruno Porras-Garcia
Appl. Sci. 2025, 15(3), 1223; https://doi.org/10.3390/app15031223 - 25 Jan 2025
Viewed by 696
Abstract
Executive functions (EFs) are essential cognitive processes involved in concentration, planning, decision-making, and impulse control during adolescence. Executive Dysfunction (ED) can lead to significant academic and socio-emotional difficulties, particularly with impairments in emotion regulation (ER). This study aims to assess a virtual reality [...] Read more.
Executive functions (EFs) are essential cognitive processes involved in concentration, planning, decision-making, and impulse control during adolescence. Executive Dysfunction (ED) can lead to significant academic and socio-emotional difficulties, particularly with impairments in emotion regulation (ER). This study aims to assess a virtual reality (VR) cognitive training intervention on EFs, ER, and internalizing symptoms in adolescents at risk for ED. Thirty-eight adolescents aged 12–14 years, identified as being at moderate to high risk for ED, were randomly assigned to two groups. The experimental group (n = 22) received gamified VR cognitive training, while the control group (n = 16) received VR nature-based relaxation training. Both interventions lasted five weeks, twice a week for 30 min each. Pre- and post-assessments included ER skills, internalizing symptoms, and cognitive performance measures. Two-way mixed ANOVAs showed significant group × time interactions (p < 0.05) in measures of depression and internalizing symptoms. The experimental group showed significant reductions in these symptoms compared with the control group. Significant main effects of time (p < 0.05) were also found on some measures. Both groups experienced reduced anxiety, improved emotional control and cognitive functioning, and VR cognitive training was particularly effective in reducing internalizing symptoms, while both interventions showed promising results in improving some ER skills and cognitive performance. The findings demonstrate the preliminary effects of VR-based cognitive training in improving the psychological and cognitive well-being of adolescents at risk for ED and suggest that integrating VR technologies into educational settings can effectively address the cognitive and emotional challenges faced by these students. Full article
(This article belongs to the Special Issue Recent Advances and Application of Virtual Reality)
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<p>Brief description of the games included in the VR cognitive training program (experimental condition).</p>
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<p>Emotion Regulation and mental health measures with significant group × time interactions or main effects of time for Emotional Control (<b>A</b>), Rumination (<b>B</b>), Anxiety Symptoms (<b>C</b>), Depressive Symptoms (<b>D</b>), Internalizing Symptoms (<b>E</b>) and Self-Efficacy (<b>F</b>).</p>
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<p>Global T-scores computed for each subgroup of cognitive function assessed, including cognitive flexibility, with global mean T-scores of all Wisconsin Card Sorting Test (WCST) subtests; working memory, with a global mean T-scores of Trail Making Test (TMT-B) and Stroop Color and Word Test (SCWT) color (C) and word (W) individual subtests; auditory attention, with the mean total Scores of the Digits test, and Simple attention, with global mean T-scores TMT-A and SCWT color and word (C&amp;W) subtest. Standard error of the mean reported.</p>
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15 pages, 3457 KiB  
Article
Fractional Dynamical Behaviour Modelling Using Convolution Models with Non-Singular Rational Kernels: Some Extensions in the Complex Domain
by Jocelyn Sabatier
Fractal Fract. 2025, 9(2), 79; https://doi.org/10.3390/fractalfract9020079 - 24 Jan 2025
Viewed by 400
Abstract
This paper introduces a convolution model with non-singular rational kernels in which coefficients are considered complex. An interlacing property of the poles and zeros in these rational kernels permits the accurate approximation of the power law function tν in a predefined [...] Read more.
This paper introduces a convolution model with non-singular rational kernels in which coefficients are considered complex. An interlacing property of the poles and zeros in these rational kernels permits the accurate approximation of the power law function tν in a predefined time range, where ν can be complex or real. This class of model can be used to model fractional (dynamical) behaviours in order to avoid fractional calculus-based models which are now associated with several limitations. This is an extension of a previous study by the author. In the real case, this allows a better approximation, close to the limits of the approximation interval, compared to the author’s previous work. In the complex case, this extends the scope of application of the convolution models proposed by the author. Full article
(This article belongs to the Section Numerical and Computational Methods)
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<p>Approximation of the affine function <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> <mo>=</mo> <msup> <mrow> <mi>t</mi> </mrow> <mrow> <mo>−</mo> <mi>ν</mi> </mrow> </msup> </mrow> </semantics></math> in log–log representation (red line) by interlacing zeros <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>t</mi> </mrow> <mrow> <mi>j</mi> </mrow> <mrow> <mo>′</mo> </mrow> </msubsup> </mrow> </semantics></math> and poles <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>j</mi> </mrow> </msub> </mrow> </semantics></math> (blue line) [<a href="#B34-fractalfract-09-00079" class="html-bibr">34</a>].</p>
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<p>Three-dimensional representation of <math display="inline"><semantics> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mi mathvariant="script">R</mi> <mi>e</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mover accent="true"> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> <mo>¯</mo> </mover> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi mathvariant="fraktur">I</mi> <mi>m</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mover accent="true"> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> <mo>¯</mo> </mover> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> as a function of <math display="inline"><semantics> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <mi>θ</mi> </mrow> </semantics></math>.</p>
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<p>Comparison in log–log representation of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi mathvariant="script">R</mi> <mi>e</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mover accent="true"> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> <mo>¯</mo> </mover> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <mi>θ</mi> </mrow> </semantics></math> and for <math display="inline"><semantics> <mrow> <mi>ν</mi> </mrow> </semantics></math> = 0.5, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>h</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>5</mn> </mrow> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>.</p>
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<p>Comparison in log–log representation of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi mathvariant="script">R</mi> <mi>e</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mover accent="true"> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> <mo>¯</mo> </mover> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <mi>θ</mi> </mrow> </semantics></math> some close to <math display="inline"><semantics> <mrow> <mo>−</mo> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math>, for three values of <math display="inline"><semantics> <mrow> <mi>ν</mi> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>=</mo> <mn>0.5</mn> <mo>,</mo> <mi> </mi> <mi>ν</mi> <mo>=</mo> <mn>0.7</mn> </mrow> </semantics></math>), and for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>h</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>5</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>.</p>
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<p>Comparison in log–log representation of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi mathvariant="script">R</mi> <mi>e</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mover accent="true"> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> </mrow> <mo>¯</mo> </mover> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <mi>θ</mi> </mrow> </semantics></math> some close to <math display="inline"><semantics> <mrow> <mo>−</mo> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>2</mn> </mrow> </mrow> </mrow> </semantics></math>, for three values of <math display="inline"><semantics> <mrow> <mi>ν</mi> </mrow> </semantics></math> (<math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>=</mo> <mn>0.2</mn> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>=</mo> <mn>0.5</mn> <mo>,</mo> <mi> </mi> <mi>ν</mi> <mo>=</mo> <mn>0.7</mn> </mrow> </semantics></math>), and for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>h</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>5</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>.</p>
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<p>Comparison in log–log representation of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <msubsup> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> <mrow> <mo>′</mo> </mrow> </msubsup> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> for various values of <math display="inline"><semantics> <mrow> <mi>θ</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math> (<b>left</b>) and for various values <math display="inline"><semantics> <mrow> <mi>ν</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <mo>−</mo> <mrow> <mrow> <mi>π</mi> </mrow> <mo>/</mo> <mrow> <mn>3</mn> </mrow> </mrow> </mrow> </semantics></math> (<b>right</b>) for <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>l</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>t</mi> </mrow> <mrow> <mi>h</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mn>10</mn> </mrow> <mrow> <mn>5</mn> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>10</mn> </mrow> </semantics></math>.</p>
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<p>Gain of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> (that does not depend on parameter <math display="inline"><semantics> <mrow> <mi>b</mi> </mrow> </semantics></math>) in log–log representation as a function of <math display="inline"><semantics> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> for various values of parameter <math display="inline"><semantics> <mrow> <mi>a</mi> </mrow> </semantics></math>.</p>
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<p>Phase of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> (that does not depend on parameter <math display="inline"><semantics> <mrow> <mi>a</mi> </mrow> </semantics></math>) in log–log representation as a function of <math display="inline"><semantics> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> for various values of parameter <math display="inline"><semantics> <mrow> <mi>b</mi> </mrow> </semantics></math>.</p>
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<p>Illustration of the gain and phase approximation methodology for <math display="inline"><semantics> <mrow> <msup> <mrow> <mi>t</mi> </mrow> <mrow> <mo>−</mo> <mi>ν</mi> </mrow> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>ν</mi> <mo>∈</mo> <mi mathvariant="double-struck">R</mi> </mrow> </semantics></math>, in log–log representation. Green lines and red lines show the successive asymptotic contributions of poles and zeros to the gain and phase.</p>
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<p>3D comparison of functions <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math>: <math display="inline"><semantics> <mrow> <mi mathvariant="script">R</mi> <mi>e</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mo>.</mo> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi mathvariant="fraktur">I</mi> <mi>m</mi> <mfenced open="{" close="}" separators="|"> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mo>.</mo> </mrow> </mfenced> </mrow> </mfenced> </mrow> </semantics></math> of these functions are represented as a function of <math display="inline"><semantics> <mrow> <mi>L</mi> <mi>o</mi> <mi>g</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> for various values of parameters <math display="inline"><semantics> <mrow> <mi>a</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>b</mi> </mrow> </semantics></math>.</p>
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<p>Comparison of the gains (<b>top</b>) and phases (<b>bottom</b>) of <math display="inline"><semantics> <mrow> <mi>f</mi> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> and of its approximation <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>f</mi> </mrow> <mrow> <mi>a</mi> </mrow> </msub> <mfenced separators="|"> <mrow> <mi>t</mi> </mrow> </mfenced> </mrow> </semantics></math> for various values of parameters <math display="inline"><semantics> <mrow> <mi>a</mi> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <mi>b</mi> </mrow> </semantics></math>.</p>
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30 pages, 30400 KiB  
Article
Classification of Flying Drones Using Millimeter-Wave Radar: Comparative Analysis of Algorithms Under Noisy Conditions
by Mauro Larrat and Claudomiro Sales
Sensors 2025, 25(3), 721; https://doi.org/10.3390/s25030721 - 24 Jan 2025
Viewed by 460
Abstract
This study evaluates different machine learning algorithms in detecting and identifying drones using radar data from a 60 GHz millimeter-wave sensor. These signals were collected from a bionic bird and two drones, namely DJI Mavic and DJI Phantom 3 Pro, which were represented [...] Read more.
This study evaluates different machine learning algorithms in detecting and identifying drones using radar data from a 60 GHz millimeter-wave sensor. These signals were collected from a bionic bird and two drones, namely DJI Mavic and DJI Phantom 3 Pro, which were represented in complex form to preserve amplitude and phase information. The first benchmarks used four algorithms, namely long short-term memory (LSTM), gated recurrent unit (GRU), one-dimensional convolutional neural network (Conv1D), and Transformer, and they were benchmarked for robustness under noisy conditions, including artificial noise types like white noise, Pareto noise, impulsive noise, and multipath interference. As expected, Transformer outperformed other algorithms in terms of accuracy, even on noisy data; however, in certain noise contexts, particularly Pareto noise, it showed weaknesses. For this purpose, we propose Multimodal Transformer, which incorporates more statistical features—skewness and kurtosis—in addition to amplitude and phase data. This resulted in a improvement in detection accuracy, even under difficult noise conditions. Our results demonstrate the importance of noise in processing radar signals and the benefits afforded by a multimodal presentation of data in detecting unmanned aerial vehicle and birds. This study sets up a benchmark for state-of-the-art machine learning methodologies for radar-based detection systems, providing valuable insight into methods of increasing the robustness of algorithms to environmental noise. Full article
(This article belongs to the Special Issue Radar Target Detection, Imaging and Recognition)
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Figure 1

Figure 1
<p>Images of the test subjects used in the experiments: (<b>a</b>) the DJI Mavic drone [<a href="#B47-sensors-25-00721" class="html-bibr">47</a>], (<b>b</b>) the DJI Phantom 3 Pro drone [<a href="#B48-sensors-25-00721" class="html-bibr">48</a>], and (<b>c</b>) the Bionic Bird [<a href="#B49-sensors-25-00721" class="html-bibr">49</a>]. These devices illustrate what were used to evaluate the classification performance of the Multimodal Transformer model.</p>
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<p>This boxplot shows the impact of white noise on the amplitude (<b>left</b>) and phase (<b>right</b>) of the radar signal. White noise follows a random distribution, primarily affecting the outliers in both amplitude and phase. The amplitude exhibits a broader spread, with more pronounced outliers in both directions. The phase is also impacted, though to a lesser extent, showing a slight median shift and a moderate interquartile range expansion.</p>
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<p>This boxplot illustrates the impact of Pareto noise on the amplitude (<b>left</b>) and phase (<b>right</b>) of the radar signal. Pareto noise, also known as heavy-tail noise, introduces extreme values more frequently than white noise, resulting in greater data dispersion. The amplitude plot shows a considerable number of high-value outliers, suggesting that the noise causes more frequent positive fluctuations. The phase remains relatively stable, with occasional extreme values.</p>
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<p>This boxplot illustrates the effect of impulsive noise on the amplitude (<b>left</b>) and phase (<b>right</b>) of the millimeter-wave radar signal. Impulsive noise generates abrupt, random spikes, causing significant data dispersion. The amplitude plot shows a noticeable increase in outliers at both extremes, with a wider interquartile range. While the median amplitude remains relatively stable, the data’s extremes were widely scattered. The phase plot shows a similar pattern, with more visible outliers and a slight median shift.</p>
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<p>This boxplot shows the effects of multipath interference noise on the amplitude (<b>left</b>) and phase (<b>right</b>) of the radar signal. Multipath interference occurs when the signal reflects off multiple surfaces before reaching the receiver, causing distortions. The amplitude plot reveals increased variability and a larger number of outliers, indicating inconsistencies in the measured values. The phase is less affected but still shows a slight increase in dispersion compared to the original signal.</p>
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<p>This boxplot illustrates the classification probability outputs of four algorithms—LSTM, GRU, Conv1D, and Transformer—under white noise conditions. The boxplot reveals that LSTM, GRU, and Conv1D exhibited tightly clustered probability distributions with low variance, and their median probabilities remained around or below 0.4 across all classes (Bird, Mavic drone, and P3P drone). This low variability and clustered median values suggests poor classification performance, with predictions lacking high confidence and distinguishing power. In contrast, the Transformer algorithm demonstrated a markedly different behavior, with wider interquartile ranges and higher median probabilities for all classes. The wider spread indicates that Transformer is more resilient to white noise, producing more varied and accurate probability outputs, thus highlighting its superior robustness in handling noisy data compared to the other models.</p>
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<p>This boxplot presents the classification probabilities of four machine learning models—LSTM, GRU, Conv1D, and Transformer—under white noise conditions for the three target classes: Bird, Mavic drone, and P3P drone. The LSTM, GRU, and Conv1D models display tightly grouped probability distributions with narrow interquartile ranges and median values clustered near or below 0.4 across all classes. This indicates that these models struggle to produce confident predictions in noisy environments as their output probabilities remain low and exhibit limited variability, suggesting a uniform inability to distinguish between the classes under these conditions. In contrast, the Transformer model showed a significantly wider interquartile range and higher median probability values for all classes. This broader distribution highlights Transformer’s superior robustness to white noise, enabling it to generate more confident and diverse predictions across the dataset, outperforming the other models in terms of classification reliability under challenging noise conditions.</p>
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<p>This boxplot illustrates the classification probabilities for different models—LSTM, GRU, Conv1D, and Transformer—under Pareto noise conditions across three target classes: Bird, Mavic drone, and P3P drone. The LSTM and GRU models exhibited higher median probabilities for the “bird” class, suggesting better performance in this specific category compared to other classes. However, the overall performance across all models was negatively impacted by Pareto noise, which introduces frequent extreme values (outliers) and disrupts the models’ ability to confidently assign accurate probabilities, particularly those affecting classification consistency.</p>
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<p>This figure presents the ROC curves and AUC scores for the classification performance of LSTM, GRU, Conv1D, and Transformer models under Pareto noise conditions. The Transformer model demonstrated superior performance, with higher AUC scores across all target classes, indicating better discriminative ability compared to the other models. Additionally, Transformer exhibited fewer outliers in classification scores, highlighting its robustness to Pareto noise. In contrast, the LSTM, GRU, and Conv1D models showed higher false positive rates, suggesting difficulty in generalizing to data with high variability caused by noise. These results emphasize the need for further model optimization to handle noise-induced challenges effectively.</p>
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<p>This boxplot displays the distribution of classification probabilities for the LSTM, GRU, Conv1D, and Transformer models under impulsive noise conditions across the Bird, Mavic drone, and P3P drone classes. The Transformer model consistently showed a higher median probability across all classes, indicating more confident predictions. However, its wider interquartile range suggests that it also exhibits greater uncertainty in some predictions. In contrast, the other models—LSTM, GRU, and Conv1D—showed lower median probabilities and tighter ranges, indicating less confidence and lower variability in their predictions under impulsive noise conditions.</p>
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<p>The ROC curves and AUC values demonstrate the classification performance of LSTM, GRU, Conv1D, and Transformer models under impulsive noise conditions. The Transformer model outperforms the other models, particularly for the Bird and Mavic drone classes, with higher AUC values, indicating better discrimination capabilities. The LSTM and GRU models show moderate performance but are slightly less effective than Transformer. The Conv1D model performs poorly across most classes, especially for the Bird class, reflecting its inability to effectively handle temporal dependencies in the presence of impulsive noise.</p>
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<p>Boxplot illustrating the classification accuracy variability of the four machine learning algorithms under multipath interference. The Transformer model consistently demonstrated higher accuracy and lower variability, indicating superior stability and performance compared to the LSTM, GRU, and Conv1D models.</p>
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<p>ROC curves showing the performance of the Transformer, LSTM, GRU, and Conv1D models in object classification with multipath interference. The Transformer model consistently outperformed the others, with higher AUC values, highlighting its robustness and superior attention mechanism for handling noise and temporal dependencies.</p>
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<p>Schematic of the Multimodal Transformer Model (MMT) used for radar-based target classification. The model begins with an input layer processing radar features, followed by LayerNormalization for stable learning. Multi-head attention (8 heads) captures complex temporal dependencies in radar signals. Dropout layers (0.1 and 0.2) prevent overfitting. A GlobalAveragePooling1D layer reduces dimensionality, followed by two dense layers with L2 regularization and LeakyReLU activation. The final dense layer outputs classification probabilities using softmax, where the model’s output is 0 for the Mavic drone, 1 for the Phantom 3 Pro drone, or 2 for bionic bird. The model was optimized with Adam and sparse categorical cross-entropy loss for multi-class classification.</p>
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<p>Boxplots showing the amplitude, phase, skewness, and kurtosis values for the Bird, Mavic, and P3P classes, as extracted from radar signals with added white noise. The Bird class showed lower and more stable values across all features. The Mavic class had moderate values with noticeable outliers. The P3P class consistently showed the highest medians and broader ranges, indicating stronger and more variable radar reflections. The differences in these features help to distinguish the classes in the Transformer model’s classification process.</p>
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<p>ROC. curves for the classification of the Bird, Mavic, and P3P classes. The model achieved a perfect AUC for all the classes in both noise cases. For white noise, the curves were slightly farther from the vertical axis compared to the Pareto noise, indicating a slightly better robustness to the latter noise type.</p>
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<p>Boxplots showing the amplitude, phase, skewness, and kurtosis values for the Bird, Mavic, and P3P classes, as extracted from radar signals with added Pareto noise. The median values remained close to zero across the features, with fewer outliers and lower variability compared to white noise. The Bird class showed the most stable distribution, while the Mavic and P3P classes exhibited moderate spreads with fewer extreme values. This reduced variability under Pareto noise led to diminished class separability, resulting in lower classification performance compared to white noise.</p>
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<p>The ROC curves for the classification of Bird, Mavic drone, and P3P drone when considering Pareto noise with a Multimodal Transformer.</p>
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<p>Boxplots showing the amplitude, phase, skewness, and kurtosis values for the Bird, Mavic, and P3P classes under impulsive noise. The Bird class exhibited the most stable and compact distribution across all features, while the P3P class showed the highest median values and widest variability, especially in amplitude and kurtosis. The Mavic class displayed intermediate behavior. Impulsive noise significantly increased outliers, particularly in the P3P class, indicating that larger or more complex targets produce more erratic radar reflections.</p>
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<p>ROC curves for the classification of the Bird, Mavic drone, and P3P drone classes when considering impulsive noise with the Multimodal Transformer.</p>
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<p>Boxplots showing the amplitude, phase, skewness, and kurtosis values for the Bird, Mavic, and P3P classes under multipath interference. Unlike impulsive noise, the distributions were more uniform across classes, with median values close to zero and consistent interquartile ranges. The P3P class showed a slightly wider spread in amplitude and skewness, suggesting higher susceptibility to multipath effects. Outliers were evenly distributed across classes, indicating random variations in signal reflections that reduce separability between classes.</p>
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<p>ROC curves for the classification of Bird, Mavic drone, and P3P drone classes when considering multipath interference with the Multimodal Transformer.</p>
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20 pages, 3712 KiB  
Article
Energy-Based Analysis of Time-Dependent Deformations in Viscoelastic Truss Systems
by Gülçin Tekin
Buildings 2025, 15(3), 362; https://doi.org/10.3390/buildings15030362 - 24 Jan 2025
Viewed by 298
Abstract
Truss systems are essential structural elements widely utilized for their lightweight design, high load-bearing capacity, and structural efficiency. This study introduces a novel energy-based method for analyzing time-dependent deformations in viscoelastic truss systems, applicable to both statically determinate and indeterminate configurations. The primary [...] Read more.
Truss systems are essential structural elements widely utilized for their lightweight design, high load-bearing capacity, and structural efficiency. This study introduces a novel energy-based method for analyzing time-dependent deformations in viscoelastic truss systems, applicable to both statically determinate and indeterminate configurations. The primary objective is to develop a total potential energy (TPE) functional that explicitly incorporates viscoelastic effects, system parameters, material properties, and loading conditions. Unlike conventional methods that treat viscous terms as non-conservative and lacking a clear energy representation, the proposed approach facilitates a direct and efficient energy-based formulation of the governing equations. The methodology employs the Laplace transform to simplify the problem and an inverse Laplace transform to recover solutions in the time domain. This systematic approach ensures accurate results while reducing computational effort, making it both time-efficient and straightforward to implement. A key advantage of the proposed method is its adaptability to various viscoelastic material models, such as the Kelvin–Voigt and Standard Linear Solid (SLS) models, and its applicability to diverse loading conditions, including step and impulsive loads. To validate the method, numerical analyses are conducted on truss systems subjected to different time-dependent loading scenarios. The results demonstrate the method’s capability to accurately predict the time-dependent behavior of viscoelastic trusses, addressing a significant gap in the literature by providing benchmark solutions. The proposed framework offers a computationally efficient alternative for analyzing viscoelastic structures, facilitating their integration into practical structural design and improving the prediction of long-term deformation behavior. This study provides a reliable and innovative solution for analyzing viscoelastic truss systems, making it a valuable tool for engineers and researchers working with time-dependent materials in structural applications. Full article
(This article belongs to the Section Building Structures)
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Figure 1
<p>Mechanical representation of the Kelvin–Voigt model.</p>
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<p>Mechanical representation of the Standard Linear Solid (SLS) model.</p>
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<p>Plane truss: initial geometry, nodes, elements, and loading (circled number denote node number and non-circled number denote member number).</p>
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<p>Load history: (<b>a</b>) Step loading (<b>b</b>) Rectangular impulsive loading.</p>
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<p>The global (X, Y) coordinate system for the truss element.</p>
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<p>Horizontal displacement history of node 2 under step loading.</p>
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<p>Horizontal displacement history of node 3 under step loading.</p>
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<p>Vertical displacement history of node 3 under step loading.</p>
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<p>Horizontal displacement history of node 3 under rectangular impulsive loading.</p>
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<p>Howe Truss: initial geometry, nodes, elements, and loading (circled number denote node number and non-circled number denote member number).</p>
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<p>Elastic and viscoelastic deformation of element 11 under step loading.</p>
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<p>Elastic and viscoelastic deformation of element 13 under step loading.</p>
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<p>Elastic and viscoelastic horizontal displacement history of node 7 under step loading.</p>
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15 pages, 208 KiB  
Article
Towards a Better Denialism
by Helen Paynter
Religions 2025, 16(2), 135; https://doi.org/10.3390/rel16020135 - 24 Jan 2025
Viewed by 660
Abstract
This article uses two case studies to promote the idea that British evangelicalism is sometimes marked by the denial of inconvenient facts. First, it takes a critical look at the apologetic impulse to explain away the problems that Scripture sometimes presents and to [...] Read more.
This article uses two case studies to promote the idea that British evangelicalism is sometimes marked by the denial of inconvenient facts. First, it takes a critical look at the apologetic impulse to explain away the problems that Scripture sometimes presents and to deny their affective dimensions. Second, it considers some of the abuse scandals of recent years and the way in which the evangelical church has tended to respond by covering them up and silencing the voices of accusers. This response appears to be motivated by the fear of quenching what appear to be successful ministries or of tarnishing the reputation of the church. The common theme that these examples share is that they are motivated by the instinct to present the gospel in the best possible light, but this appears to stem from an unarticulated functional atheism that does not truly trust God’s people to the Spirit. As a remedy, two linked practices are proposed, drawing on the work of Eugene Peterson and Cheryl Bridges-Johns. These are Sabbath-keeping as a means of rediscovering the primacy of God’s presence and work; and the re-enchantment of Scripture by means of a Pentecost imaginary, which offers the possibility for the transrational. Full article
(This article belongs to the Special Issue Disclosing God in Action: Contemporary British Evangelical Practices)
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