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45 pages, 12094 KB  
Review
A Unified Mass–Spring–Damping Framework for Sound Absorption: From Classical Resonators to AI-Enabled Smart Structures
by Chao Shen, Runchao Xu and Yu Liu
Acoustics 2026, 8(3), 59; https://doi.org/10.3390/acoustics8030059 (registering DOI) - 14 Aug 2026
Abstract
Broadband, low-frequency sound absorption within a compact device remains a central unsolved problem in noise control engineering, arising from fundamental trade-offs among resonator volume, absorption bandwidth, panel thickness, and frequency tunability that no passive, linear, time-invariant system can simultaneously circumvent. This review establishes [...] Read more.
Broadband, low-frequency sound absorption within a compact device remains a central unsolved problem in noise control engineering, arising from fundamental trade-offs among resonator volume, absorption bandwidth, panel thickness, and frequency tunability that no passive, linear, time-invariant system can simultaneously circumvent. This review establishes a unified mass–spring–damping (MSD) framework applied systematically across the full spectrum of resonance-based absorber technologies. From first principles, we derive the mass–stiffness coupling result (the mass-disappearing result of Shen and Liu): fixing the resonance frequency imposes K=Mωres2, so acoustic mass and stiffness cannot be adjusted independently; the half-absorption bandwidth Π1=η/(Mωres)+Vωres/(c0Star) then depends explicitly on the cavity volume V (system stiffness) and on the damping coefficient η, rather than on mass as an independent lever. This explains why neck extension, space-coiling, and membrane loading—which merely add mass while leaving the cavity stiffness unchanged—fail to broaden the absorption band at fixed volume, and refocuses the design effort on stiffness reduction and damping control. Five non-dimensional performance metrics are introduced that collapse the scattered literature into a single, scale-independent language for rigorous comparison across all absorber families: normalised half-absorption bandwidth Π1, volume efficiency Π2, integral absorption criterion Π3 tied to the Rozanov causality bound, quality factor Q=1/Π1, and frequency-thickness ratio Π4. A two-degree-of-freedom acoustic–structural coupling model yields closed-form effective stiffness and damping, revealing how structural loss augments acoustic damping, how modal veering produces split absorption peaks, and how the anti-resonance frequency becomes a designable parameter. A critical distinction is drawn between mathematical negative stiffness (a fitting artefact) and physical negative stiffness via repulsive magnets, bistable elements, or negative-capacitance piezoelectric shunts, which genuinely reduces cavity stiffness, lowers resonance frequency, and widens bandwidth beyond the passive causality bound. The shunt electromechanical diaphragm further demonstrates α>0.9 at nine tonal frequencies spanning three octaves without mechanical modification. Finally, embedding MSD equations and Π1Π4 bounds as hard physical priors in AI/LLM-assisted design frameworks is identified as the key step toward provably physically consistent absorber synthesis. Full article
24 pages, 2348 KB  
Article
Design and Experimental Validation of a Micro-Perforated Silencer for Air Conditioning Centrifugal Fans Based on Frequency-Domain Identification of Noise Attenuation
by Weijie Zhang and Ye Yuan
Symmetry 2026, 18(8), 1374; https://doi.org/10.3390/sym18081374 - 14 Aug 2026
Abstract
To address the technical bottleneck of balancing the wideband noise (100–800 Hz) and aerodynamic performance of multi-blade centrifugal fans in air conditioning indoor units, this paper proposes a “frequency-domain target-driven” parametric design method for micro-perforated silencers. This method began with the precise identification [...] Read more.
To address the technical bottleneck of balancing the wideband noise (100–800 Hz) and aerodynamic performance of multi-blade centrifugal fans in air conditioning indoor units, this paper proposes a “frequency-domain target-driven” parametric design method for micro-perforated silencers. This method began with the precise identification of the 1/3-octave band noise spectrum to determine two noise peak clusters—200–400 Hz and 700–800 Hz—as the target suppression frequency bands. Based on Ma Dayou’s micro-perforated plate theory, a reverse mapping chain of “target frequency range → resonance frequency → structural parameters (hole diameter, perforation rate, rear cavity depth)” was established to enable the quantitative calculation of the silencer’s geometric parameters. Addressing engineering constraints related to manufacturing precision, clogging prevention, and structural stiffness for the theoretically optimal aperture size (0.24 mm), the aperture was adjusted to 1.0 mm through iterative recalculation of the relationship between plate thickness and perforation rate, while maintaining the perforated plate constant k ≈ 1.40 to ensure that the theoretical sound absorption frequency band remained unchanged. Test results show that under semi-anechoic chamber conditions (background noise ≤ 10 dB(A)), the micro-perforated silencer maintains airflow and power without attenuation across all airflow rates; noise peaks in the 200–400 Hz and 700–800 Hz frequency bands are significantly suppressed, and the full-band spectrum tends toward flatness. The average total noise level was reduced by 1 dB(A), and the average peak sound pressure level was reduced by 4 dB(A); the reduction in peak levels was four times that of the total reduction, revealing that the noise reduction mechanism of this method is “frequency-selective resonant absorption” rather than “uniform attenuation across the entire frequency band.” This study provides a quantifiable and reproducible design process for micro-perforated silencers, offering methodological support and engineering references for the development of low-noise compact fan systems in household appliances. Full article
(This article belongs to the Section F: Engineering and Materials)
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38 pages, 5215 KB  
Article
Multi-Modal Nonlinear Response of an Electrically Actuated Microelectromechanical System Resonator
by Mohamed Emad Abdelraouf, Kai Morino, Ahmed Elsaid, Waheed Zahra and Ali Kandil
Mathematics 2026, 14(16), 2946; https://doi.org/10.3390/math14162946 - 14 Aug 2026
Abstract
Microelectromechanical systems (MEMS) have a widespread use in several applications such as signal filtering, time referencing, and sensing. This paper explores the nonlinear dynamic behavior of a MEMS resonator using a reduced-order modeling approach. The study focuses on how multi-modal formulation and detuning [...] Read more.
Microelectromechanical systems (MEMS) have a widespread use in several applications such as signal filtering, time referencing, and sensing. This paper explores the nonlinear dynamic behavior of a MEMS resonator using a reduced-order modeling approach. The study focuses on how multi-modal formulation and detuning affect the system’s response under primary resonance. Using the method of multiple scales, amplitude–phase response equations are derived, and time-domain simulations are generated with the Runge–Kutta method. Two mode combinations are examined: the first mode combined with the second mode and the first mode with the third mode for multi-modal influence evaluation. Results indicate that the first mode provides the dominant behavior to MEMS response, while the second and third modes exhibit minimal participation despite the nonlinearities retained in the presented multi-modal model. Additionally, a detuning study reveals that the geometric and forcing nonlinear effects are stronger near resonance and diminish as the system moves away from it. The analysis suggests that the significant features of the response can be captured in the case of primary resonance using only the first mode, which offers an effective modeling approach. From a design perspective, finding that the first mode alone is sufficient means that the essential dynamic behavior of the MEMS resonator can be predicted and controlled by focusing on its first mode of vibration. In practical terms, this greatly allows engineers to optimize geometry, driving voltage, or control parameters to target the first mode natural frequency without accounting for higher modes, which reduces computational cost and design complexity. Full article
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22 pages, 17327 KB  
Article
Research on the Absorption Performance of Glass Fiber Fabric Composites Coated with Nickel by Magnetron Sputtering
by Zhuohui Zhou, Yanli Wang, Mengyu Zhou, Zhiyong Wang and Yan Zhao
Polymers 2026, 18(16), 1979; https://doi.org/10.3390/polym18161979 - 14 Aug 2026
Abstract
This study focuses on the deposition of nickel thin-films onto glass fiber fabric via DC magnetron sputtering and explores their potential for broadband microwave absorption applications. A total of twelve laminate samples were prepared by integrating the coated fabrics with epoxy resin, with [...] Read more.
This study focuses on the deposition of nickel thin-films onto glass fiber fabric via DC magnetron sputtering and explores their potential for broadband microwave absorption applications. A total of twelve laminate samples were prepared by integrating the coated fabrics with epoxy resin, with sputtering powers ranging from 0.5 to 2 kW and deposition times ranging from 10 to 90 min. The microstructure, surface resistance, electromagnetic parameters, and microwave absorption performance were systematically characterized using SEM, XRD, four-point probe measurements, and vector network analysis, supplemented by the Lorentz model fitting and simulation validation. The results indicate that the nickel coatings exhibit a non-uniform arc-like morphology, with preferential growth along the (111) crystallographic plane, while the (200) and (220) planes form under specific conditions. The surface resistance reaches up to 108 Ω·m, suggesting the absence of a continuous conductive network. Electromagnetic parameter analysis reveals that the laminates display dielectric-loss-dominated microwave absorption, and the Lorentz fitting identifies double resonance peaks under prolonged or high-power sputtering. The addition of a dielectric matching layer further enhances the absorption performance. All samples achieve wideband absorption within the Ku-band. Notably, the samples prepared at 1 kW for 30 min and at 1 kW for 90 min both exhibit a reflectivity of ≤−10 dB across the entire 8–18 GHz frequency range. The experimental results are in good agreement with simulations. The bulk density of the laminates is approximately 1.8 g/cm3. These findings confirm that magnetron-sputtered nickel-coated continuous glass fiber fabrics hold considerable promise for wideband microwave absorption applications. Full article
(This article belongs to the Section Polymer Composites and Nanocomposites)
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31 pages, 8278 KB  
Article
Dominant Trend Identification of Electromagnetic Excitation and Analysis of Vibration and Noise Characteristics for Variable-Speed Scroll Compressors
by Zhen Wang, Shukai Li, Xichu Wei and Wenguang Fu
Machines 2026, 14(8), 935; https://doi.org/10.3390/machines14080935 - 13 Aug 2026
Abstract
Variable-speed operation of scroll compressors is a prevailing trend for energy saving in refrigeration systems; however, complex electromagnetic excitation induces prominent vibration and noise, yet its dominant timing, spatial distribution, and action mechanism remain unclear. An electromagnetic–structural–acoustic sequential coupling model of a scroll [...] Read more.
Variable-speed operation of scroll compressors is a prevailing trend for energy saving in refrigeration systems; however, complex electromagnetic excitation induces prominent vibration and noise, yet its dominant timing, spatial distribution, and action mechanism remain unclear. An electromagnetic–structural–acoustic sequential coupling model of a scroll compressor is established and validated at three speeds (3600–6600 rpm), and a dominance identification method integrating harmonic–modal matching, variational mode decomposition, and electromagnetic correlation identification is proposed. Predicted frequencies agree well with experiments; even-order harmonics migrate linearly with speed, with harmonic–modal matching exceeding 80% at low and medium speeds. At 5400 rpm, the 24th-order harmonic (2160 Hz) coincides with mode 2 (2162 Hz), causing resonance and a threefold amplitude increase. At low and medium speeds, vibration dominance indices range between 0.68 and 0.75, while noise dominance indices decrease from 0.55 to 0.48, dropping to 0.35 and 0.28 at 6600 rpm, indicating noise source transition. Vibration at S1 through S4 shows spatial variation, and far-field noise at F1 through F4 is non-uniform. These findings clarify how electromagnetic excitation dominates the vibration and noise of scroll compressors, providing a theoretical basis for speed-segmented and zone-specific noise source identification and control. Full article
(This article belongs to the Section Electromechanical Energy Conversion Systems)
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13 pages, 1373 KB  
Article
A 10.3–14 GHz Glass-IPD Bandpass Filter Using Mutually Coupled Inductor Resonators
by Yingjun Ma, Jiahao Yang, Peng Gao and Xudong Wang
Electronics 2026, 15(16), 3601; https://doi.org/10.3390/electronics15163601 - 13 Aug 2026
Abstract
Glass-substrate integrated passive device (IPD) technology is attractive for heterogeneous radio frequency (RF) integration, but realizing high-selectivity bandpass filters (BPFs) with wide stopbands within a constrained footprint remains challenging. This paper presents a 10.3–14 GHz BPF that addresses limitations by introducing a novel [...] Read more.
Glass-substrate integrated passive device (IPD) technology is attractive for heterogeneous radio frequency (RF) integration, but realizing high-selectivity bandpass filters (BPFs) with wide stopbands within a constrained footprint remains challenging. This paper presents a 10.3–14 GHz BPF that addresses limitations by introducing a novel mutually coupled inductor–resonator topology. Rather than relying on extra physical components, this architecture absorbs the function of the conventional inter-stage inductor into the magnetic coupling between two shunt resonators, reducing parasitic effects associated with inter-stage connections. An even- and odd-mode analysis is established to map the conventional lumped prototype to the proposed coupled network, thereby enabling direct and precise control over pole splitting and fractional bandwidth (FBW). Fabricated and measured results demonstrate excellent in-band performance, achieving a minimum insertion loss of 2.2 dB, a return loss better than 20 dB, and an FBW of 30.5%. Furthermore, a deep stopband rejection exceeding 40 dB is maintained across a wide range from 20.5 to 35 GHz, corresponding to 1.7–2.9 times the center frequency. These outstanding attributes demonstrate that the proposed BPF offers a low-loss, highly selective passive filtering solution well-suited for next-generation RF front-end modules. Full article
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10 pages, 606 KB  
Article
Nuclear Spin Oscillator Based on 3He to Search for Exotic Spin Coupling
by Heather R. Pearson, Anna Molodtsova, Sage C. Weisrock, Sherlock Tingrui Zhao and Jason E. Stalnaker
Universe 2026, 12(8), 243; https://doi.org/10.3390/universe12080243 - 13 Aug 2026
Abstract
We describe an experimental investigation of a nuclear spin oscillator based on 3He nuclei as a possible detector to search for exotic spin couplings. A magnetically shielded vapor cell comprising an alkali atom mixture (95% potassium and 5% rubidium) [...] Read more.
We describe an experimental investigation of a nuclear spin oscillator based on 3He nuclei as a possible detector to search for exotic spin couplings. A magnetically shielded vapor cell comprising an alkali atom mixture (95% potassium and 5% rubidium) and 3He gas is polarized via laser light resonant with the D1 transition in rubidium in the presence of a dc magnetic field. The potassium atoms and 3He nuclei are polarized via spin-exchange collisions with the polarized rubidium atoms. The nuclear spins are tipped with a magnetic field applied perpendicular to the dc magnetic field. The resulting Larmor precession of the 3He nuclear spins is monitored via Faraday rotation of laser light near resonant with the D1 transition in potassium. The Faraday rotation signal is filtered, amplified, and used to apply a magnetic field in a direction perpendicular to the dc magnetic field, resulting in a self-sustained oscillation of the nuclear spins at a frequency that is directly proportional to the dc magnetic field. We demonstrate a sensitivity to exotic spin couplings that is ≈5 times higher than the alkali atom magnetometers that have been used in the Global Network of Optical Magnetometers to Search for Exotic Physics collaboration. Full article
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24 pages, 7855 KB  
Article
Decision Framework for Selecting Shell and Solid Finite Element Models in Modal Analysis of Rib-Reinforced Vibration Test Fixtures
by Young Joong Choi, Dae Hee Lee, Jung Jin Kim and Jisun Kim
Mathematics 2026, 14(16), 2927; https://doi.org/10.3390/math14162927 - 13 Aug 2026
Abstract
Modeling choice is key to modal analysis of rib-reinforced vibration test fixtures; however, systematic criteria for selecting shell or solid finite element (FE) models remain limited. This study proposes a decision framework that translates comparisons between shell and solid models into selection criteria. [...] Read more.
Modeling choice is key to modal analysis of rib-reinforced vibration test fixtures; however, systematic criteria for selecting shell or solid finite element (FE) models remain limited. This study proposes a decision framework that translates comparisons between shell and solid models into selection criteria. Five headlamp vibration test fixtures were modeled using shell and solid elements under identical material properties, boundary conditions, bonded contacts, and mounted point mass conditions. Natural frequency differences ranged from 1.81% to 11.21% for the first three modes, averaging 6.52%. The shell models reproduced the overall lower mode deformation trends of the solid models, particularly global bending and torsional modes. The dominant effective mass direction was consistent in most individual mode comparisons. Shell models required fewer nodes and elements, with analysis times of only 3.99% to 11.97% of those for solid models. Shell models are suitable for preliminary and iterative modal assessment, whereas solid models are recommended when the margin for resonance avoidance is small, dominant effective mass directions differ, or the representation of local three-dimensional stiffness is important. These results indicate that the proposed framework provides practical criteria for selecting shell or solid FE models for individual modes according to the analysis objective and design stage. Full article
(This article belongs to the Special Issue Advanced Modeling and Design of Vibration and Wave Systems)
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24 pages, 12344 KB  
Article
A Full Polymer Piezoelectric Flextensional Energy Harvester
by Nadia Ahbab, Sidra Naz, Bingqi Zhao and Tian-Bing Xu
Micromachines 2026, 17(8), 955; https://doi.org/10.3390/mi17080955 - 12 Aug 2026
Viewed by 65
Abstract
This study presents a full polymer piezoelectric flextensional energy harvester (FPPFEH) comprising a single-layer poly(vinylidene fluoride) (PVDF) film bonded to a 3D-printed polylactic acid (PLA) flextensional frame. For an arm inclination angle of θ=10°, the free-body model gives a [...] Read more.
This study presents a full polymer piezoelectric flextensional energy harvester (FPPFEH) comprising a single-layer poly(vinylidene fluoride) (PVDF) film bonded to a 3D-printed polylactic acid (PLA) flextensional frame. For an arm inclination angle of θ=10°, the free-body model gives a theoretical geometric force-amplification factor of MF=cotθ5.67; this value represents an ideal upper bound and was not independently validated by local force or strain measurements. During assembly, the film was tensioned only to remove visible slack and maintain a flat configuration. No intentional pretension was applied, and any residual tension was not measured. Off-resonance force-controlled tests showed that the generated voltage was approximately proportional to the dynamic input force and nearly independent of frequency after accounting for attenuation caused by the finite measurement-input impedance. The ideal quasi-static model overpredicted the absolute voltage by a nearly constant factor across the tested force range. This offset is consistent with a lumped reduction associated with frame compliance and the in-plane anisotropy of the PVDF film, neither of which was independently measured. At 30Hz and 12.32Nrms, the rectified output charged a 6600μF supercapacitor to 2.10V in 14min, corresponding to 14.55mJ of stored energy. Under base-acceleration excitation from 0.05 g to 1 g, the voltage peak occurred between 112.88 and 116.49Hz, close to the electrical anti-resonance near 114Hz, and reached 12.11Vpeak at 1 g. Near resonance, the highest measured power among the tested resistive loads occurred between 150 and 200kΩ; however, the exact optimal resistance could not be resolved from the four tested loads. These results demonstrate off-resonance force-driven energy storage and resonance-mode vibration energy harvesting within the tested conditions. Full article
(This article belongs to the Special Issue Energy Conversion Materials and Energy-Harvesting Devices)
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23 pages, 4737 KB  
Article
A Capacitively Coupled Isolated Resonant Dual Active Bridge Converter with Relatively Low-Frequency Commutation
by Manuel Alejandro García-Perales, Pedro Martín García-Vite, Crescencio García-Guendulain, Ana María Zúñiga-Barrios and Josué Francisco Rebullosa-Castillo
Energies 2026, 19(16), 3790; https://doi.org/10.3390/en19163790 - 12 Aug 2026
Viewed by 80
Abstract
The rapid growth of battery energy storage systems, renewable energy integration, electric vehicles, and DC microgrids has significantly increased the demand for compact, efficient, and bidirectional isolated DC–DC converters. Conventional Dual Active Bridge (DAB) converters commonly employ high-frequency transformers to provide galvanic isolation [...] Read more.
The rapid growth of battery energy storage systems, renewable energy integration, electric vehicles, and DC microgrids has significantly increased the demand for compact, efficient, and bidirectional isolated DC–DC converters. Conventional Dual Active Bridge (DAB) converters commonly employ high-frequency transformers to provide galvanic isolation and bidirectional power transfer. Although transformer-based DAB converters offer excellent performance, their magnetic components increase converter volume, weight, core losses, leakage inductance, manufacturing complexity, and overall cost. Consequently, recent research has explored alternative high-frequency energy transfer techniques based on capacitive coupling, aiming to reduce magnetic components while preserving efficient resonant power conversion.This paper proposes a Capacitively Coupled Dual Active Bridge (CC-DAB) converter employing high-power metallized polypropylene (MKPH) capacitors as the high-frequency energy transfer medium. The proposed converter operates at a relatively low switching frequency while investigating the safe operating conditions of the capacitive coupling network to ensure reliable and efficient power transfer. A microcontroller-based single-phase-shift (SPS) modulation strategy is implemented to generate the gate-driving signals of the full bridges, whereas the switching frequency is selected to achieve zero-voltage switching (ZVS) throughout the investigated operating range. The phase-shift angle (ϕ) regulates the transferred power by controlling the voltage difference between the primary and secondary bridges across the capacitive coupling network. The proposed converter is analyzed theoretically and validated through simulation and experimental testing. Experimental results demonstrate stable bidirectional power transfer, soft-switching operation, and a peak conversion efficiency of 91.3% at a relatively low switching frequency of 52 kHz. The experimental verification confirms the practical feasibility of capacitive coupling for resonant bidirectional power conversion and demonstrates its potential as an alternative architecture for low- and medium-power applications requiring compact size, high efficiency, reduced magnetic component requirements, and reversible energy transfer. Furthermore, the proposed topology contributes to the ongoing development of transformerless resonant converters by experimentally validating a high-frequency capacitive coupling network capable of supporting efficient bidirectional power flow under practical operating conditions. Full article
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20 pages, 2004 KB  
Article
A Single-Source Pilot Study of Machine Learning-Assisted Microwave S-Parameter Screening for Glucose Syrup and Water Adulteration in Grape Molasses
by Mustafa Alptekin Engin, Mehmet Cakir and Turan Cakil
Sensors 2026, 26(16), 5114; https://doi.org/10.3390/s26165114 - 12 Aug 2026
Viewed by 164
Abstract
Grape molasses, known as pekmez in Turkish, is a traditional concentrated fruit product that may be adulterated with cheaper sweeteners or water. This study evaluated broadband microwave S-parameter measurements as a rapid, non-destructive screening approach for detecting glucose syrup substitution and water dilution [...] Read more.
Grape molasses, known as pekmez in Turkish, is a traditional concentrated fruit product that may be adulterated with cheaper sweeteners or water. This study evaluated broadband microwave S-parameter measurements as a rapid, non-destructive screening approach for detecting glucose syrup substitution and water dilution in grape molasses. Nine physical mixture groups were prepared, including pure grape molasses, glucose syrup–substituted mixtures at 5–30%, pure glucose syrup as an endpoint reference, and water-diluted mixtures at 10–30%. For each group, five consecutive technical measurements were recorded using a Libre vector network analyzer connected to a WR-229 waveguide-based two-port setup over 3.30–4.90 GHz. All mixtures were prepared from a single commercial grape molasses source and a single glucose syrup source; the results should therefore be interpreted as pilot-scale, single-source evidence rather than a generalizable screening method. Glucose syrup substitution produced a systematic upward shift in S11 resonance frequency. In the practical 0–30% range, S11 resonance frequency showed a strong linear relationship with glucose syrup content on the calibration data (R2 = 0.9955; inverse prediction error = 0.72 percentage points), though this reflects calibration fit rather than independently validated prediction accuracy. Water dilution produced stronger S21 attenuation. The detection principle is based on the complementary use of S11 resonance behavior for glucose syrup substitution and S21 transmission loss for water dilution. In group-blocked point-wise classification, the Ensemble Bagged Trees classifier achieved 88.79% accuracy and a macro-F1 score of 0.874. These results indicate that S11 and S21 provide complementary proof-of-concept indicators for controlled-mixture screening of grape molasses adulteration. Full article
(This article belongs to the Special Issue Microwave-Based Sensing: Innovations for Future Sensor Technologies)
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28 pages, 29173 KB  
Article
Dynamic Modeling and Structural Angle Dynamic Characteristic Analysis of a Non-Circular Planetary Gear Train
by Haocong Xu, Bingliang Ye, Xuewen Huang, Yaxin Yu, Gaohong Yu and Liang Sun
Machines 2026, 14(8), 926; https://doi.org/10.3390/machines14080926 - 12 Aug 2026
Viewed by 64
Abstract
This study investigates the dynamic response of non-circular gear planetary trains in transplanting mechanisms, focusing on variable transmission effects. A time-varying mesh stiffness model was developed for non-circular gears using pitch curve parameters, incorporating pressure angle, contract ratio, and equivalent teeth number as [...] Read more.
This study investigates the dynamic response of non-circular gear planetary trains in transplanting mechanisms, focusing on variable transmission effects. A time-varying mesh stiffness model was developed for non-circular gears using pitch curve parameters, incorporating pressure angle, contract ratio, and equivalent teeth number as dynamic variables. A dynamic model of the planetary gear train was established to analyze component vibration characteristics. Comparative analysis reveals that non-circular gears’ variable-speed transmission significantly amplifies gear train vibrations compared to that of circular gears. Structural angle effects were examined, demonstrating the structural angle’s critical role in modulating vibration energy distribution between sun and planet gears. Frequency-domain analysis identified optimal structural angle ranges that minimize resonance risks by controlling component center vibrations. This work clarifies the coupling mechanisms between geometric parameters and transmission characteristics in non-circular gear systems. A design criterion based on frequency–energy distribution is proposed to optimize high-speed transplanting mechanisms. These findings advance the understanding of vibration modulation in variable-ratio gear trains and provide theoretical guidance for enhancing operational stability in agricultural machinery. Full article
(This article belongs to the Section Machine Design and Theory)
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22 pages, 1810 KB  
Article
Time-Resolved Fluorescence of a Two-Level System Using Time-Dependent Variational Method
by Xinyu Wang, Liang Deng, Kun Gong, Shuhao You, Ziyi Yang, Zhongkai Huang, Haolin Lu and Guankui Long
Photonics 2026, 13(8), 756; https://doi.org/10.3390/photonics13080756 - 11 Aug 2026
Viewed by 107
Abstract
The time-resolved fluorescence spectrum of a driven two-level system is investigated using a time-dependent variational method. We first establish the transient build-up of the Mollow triplet via the Lindblad master equation under the rotating-wave approximation, providing a complete visualization of the spectral evolution [...] Read more.
The time-resolved fluorescence spectrum of a driven two-level system is investigated using a time-dependent variational method. We first establish the transient build-up of the Mollow triplet via the Lindblad master equation under the rotating-wave approximation, providing a complete visualization of the spectral evolution from initial turn-on to steady state. To go beyond the perturbative regime, we employ the multiple Davydov D2 ansatz (multi-D2), which uses the σz eigenstates as the basis and naturally accommodates arbitrary system–bath coupling types and spectral densities. The multi-D2 method converges with M = 4 multiplicities in studied cases, outperforming the multi-D1 ansatz (M = 8) for the σx coupling benchmark. For pure σz (dephasing) coupling under resonant driving, we find that the time-resolved spectrum reveals a distinct fluorescence peak at the Rabi frequency—a signature of dressed-state transitions induced by the dephasing channel that remains hidden in population dynamics. Under mixed σxσz coupling, the spectrum exhibits combined features of both Mollow triplet and σz-mediated emission. The effects of sub-Ohmic, Ohmic, and super-Ohmic spectral densities are systematically compared. While the resonant spectral weight J(ω0) governs the overall dissipation rate, a controlled comparison at fixed J(ω0) reveals that the super-Ohmic regime exhibits an intrinsic shape-dependent suppression of sideband emission under resonant driving, highlighting an asymmetric role of the spectral density exponent in engineering transient fluorescence. Our work establishes the multi-D2 ansatz as a versatile tool for simulating time-resolved fluorescence in complex bosonic environments. Full article
(This article belongs to the Special Issue Advancements in Fluorescent Materials and Applications)
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18 pages, 5270 KB  
Article
Nested Split-Ring Dual-Resonant Double-Negative Metamaterial Unit Cell for 5G mmWave and D-Band Sub-THz Applications
by Palash Kundu, Md Jubaer Alam, Mohammad Atiqullah and Saeed I. Latif
Microwave 2026, 2(3), 13; https://doi.org/10.3390/microwave2030013 - 11 Aug 2026
Viewed by 57
Abstract
This article presents a nested split-ring resonator (SRR) metamaterial unit cell which demonstrates dual-resonant double-negative (DNG) behavior for the 5G mmWave and D-band sub-THz region. The proposed geometry contains a scaled inner SRR pair within an outer SRR pair that enables operation at [...] Read more.
This article presents a nested split-ring resonator (SRR) metamaterial unit cell which demonstrates dual-resonant double-negative (DNG) behavior for the 5G mmWave and D-band sub-THz region. The proposed geometry contains a scaled inner SRR pair within an outer SRR pair that enables operation at two different resonant frequencies while maintaining a single-layer planar platform. Full wave simulations are performed through a two-port wave excitation set up with proper PEC/PMC symmetry boundaries (normal incidence) to obtain the scattering parameters. The lower resonance is tuned around 28.9 GHz to cover the 5G FR2 (Frequency Range 2) mmWave region and the upper resonance is tuned around 113.3 GHz, in accordance with the allocated D-band window (111.8–114.25 GHz) which is relevant for the emerging 6G sub-THz band. Effective-medium parameters are extracted from the simulated S-parameters by the standard Nicolson–Ross–Weir (NRW) retrieval approach. The simultaneous presence of negative effective permittivity and permeability around the resonance region confirms double-negative (DNG) behavior. The proposed passive unit cell is a compact building block for future planar metasurface/microwave devices and can also be incorporated as a passive loading layer or superstrate in an antenna system. Full article
(This article belongs to the Special Issue Advances in Microwave Devices and Circuit Design)
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33 pages, 14078 KB  
Review
Metamaterials for Wearable Textile Antennas: Materials, Structures, and Fabrication
by Ruihua Wang, Qingyun Tao, Yong Zhang and Jiyong Hu
Materials 2026, 19(16), 3398; https://doi.org/10.3390/ma19163398 - 10 Aug 2026
Viewed by 295
Abstract
With the rapid development of wearable body-centric wireless systems, there is a growing demand for textile antennas with stable on-body performance, low profile, flexibility, and garment compatibility. Textile metamaterials provide an effective approach to address the limitations of conventional textile antennas by regulating [...] Read more.
With the rapid development of wearable body-centric wireless systems, there is a growing demand for textile antennas with stable on-body performance, low profile, flexibility, and garment compatibility. Textile metamaterials provide an effective approach to address the limitations of conventional textile antennas by regulating antenna–body coupling, backward radiation, surface-wave propagation, frequency selectivity, local resonance, and polarization. Although existing reviews have discussed the mechanisms and structures of metamaterials, systematic discussions that connect metamaterial structures with textile materials, fabrication, and performance remain limited. This review summarizes representative metamaterials used in textile antennas and analyzes their roles in gain enhancement, SAR reduction, miniaturization, multiband operation, and polarization improvement. Common substrates, spacers, and conductive materials are further reviewed, together with fabrication methods such as lamination, embroidery, sewing, weaving, knitting, printing, coating, and laser patterning. Current studies indicate that material variability, conductor loss, fabrication tolerance, layer alignment, deformation stability, and garment integration still restrict practical application. This review is expected to provide a reference for the design and realization of reliable metamaterials for textile antennas. Full article
(This article belongs to the Special Issue Applications of Smart Materials in Mechanical Engineering)
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