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26 pages, 2599 KB  
Article
Raman Spectroscopic Authentication of Rebaudioside M: Discriminating Natural, Fermentation-Derived, and Enzymatically Bioconverted Stevia Sweeteners
by Giuseppe Pezzotti, Akihiro Miyamoto, Takashi Yamashita, Isao Fujita, Akihiro Maeno, Wenliang Zhu, Manabu Nakagawa and Takuya Kobayashi
Foods 2026, 15(11), 1994; https://doi.org/10.3390/foods15111994 - 3 Jun 2026
Viewed by 287
Abstract
Rebaudioside M (Reb M) is a high-value steviol glycoside responsible for the most desirable sensorial profile among stevia-derived sweeteners, owing to its intense sweetness and near absence of bitter aftertaste. However, its extremely low natural abundance in Stevia rebaudiana leaves has driven the [...] Read more.
Rebaudioside M (Reb M) is a high-value steviol glycoside responsible for the most desirable sensorial profile among stevia-derived sweeteners, owing to its intense sweetness and near absence of bitter aftertaste. However, its extremely low natural abundance in Stevia rebaudiana leaves has driven the development of alternative production strategies, including microbial fermentation and enzyme-assisted bioconversion. In this work, Raman spectroscopy is employed as a rapid, non-destructive, and label-free analytical tool to discriminate Reb M obtained from three distinct sources: (i) naturally occurring leaf extracts, (ii) fermentation-derived products, and (iii) enzymatically bioconverted products. Distinct vibrational fingerprints are identified that reflect differences in glycosylation patterns, residual steviol glycoside populations, matrix components, and process-related byproducts. The results demonstrate that Raman spectroscopy enables prompt authentication of Reb M origin and provides a powerful platform for real-time quality control. Importantly, the technique allows near-zero-cost screening, thus offering a decisive advantage over conventional chromatographic methods. These findings highlight Raman spectroscopy as a key method enabling a swift procedure for ensuring transparency, safety, and consistency in next-generation Stevia sweeteners. Full article
(This article belongs to the Section Food Analytical Methods)
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26 pages, 2872 KB  
Article
Real-Time Anxiety Monitoring and Mitigation for eVTOL Passengers Based on In-Ear Wearable Sensors
by Hao Wu, Bo Li, Xiaohui Lu, Yimin Qiao, Yihui Zhou and Xin Wang
Appl. Sci. 2026, 16(11), 5532; https://doi.org/10.3390/app16115532 - 2 Jun 2026
Viewed by 171
Abstract
Objective: Rapid vertical manoeuvres and intermittent vibration in autonomous electric vertical take-off and landing (eVTOL) aircraft can provoke pronounced psychological anxiety in passengers. To address this, we propose a closed-loop adaptive system that integrates an in-ear wearable sensor with dynamic regulation of the [...] Read more.
Objective: Rapid vertical manoeuvres and intermittent vibration in autonomous electric vertical take-off and landing (eVTOL) aircraft can provoke pronounced psychological anxiety in passengers. To address this, we propose a closed-loop adaptive system that integrates an in-ear wearable sensor with dynamic regulation of the cabin microenvironment, enabling real-time monitoring of each passenger’s autonomic state and delivering individualised mitigation through a continuous sense–analyse–intervene–feedback loop. Methods: The system is built around a pair of custom in-ear modules that integrate dual-wavelength photoplethysmography (PPG; 525 nm green and 940 nm infrared), galvanic skin response (GSR), and a six-axis inertial measurement unit (IMU) sampled at 200 Hz. To suppress the 20–80 Hz vibration generated by the distributed electric propulsion system, a compliant silicone damping sleeve attenuates high-frequency components at the hardware level, while a Kalman filter fuses the IMU and PPG streams and an adaptive notch filter removes residual rotor harmonics. The pipeline raises the heart-rate-variability (HRV) signal-to-noise ratio (SNR) to 24.1 dB, with a Pearson correlation of 0.96 against a medical-grade chest strap. A hybrid CNN–LSTM network—two convolutional layers (32 filters each) followed by two LSTM layers (128 hidden units)—predicts impending anxiety from HRV time-domain features (RMSSD, pNN50) and frequency-domain features (LF/HF ratio), triggering intervention 8.2 s in advance on average. According to the predicted anxiety level (mild/moderate/severe), a fuzzy controller modulates transcutaneous auricular vagus nerve stimulation (1–5 mA), the binaural-beat frequency (4–8 Hz, theta band), and the cabin lighting colour temperature (2700–6500 K) in real time. The intervention parameters are continuously refined by SPSA-based stochastic optimisation of the HRV recovery rate (step size 0.01; updated every 30 s). Results: In a randomised controlled experiment conducted in a simulated flight environment (N = 50; aged 22–45 years; 1:1 sex ratio), the active group reached physiological recovery in 52.3 s on average, compared with 98.6 s for the sham-controlled group—a 47% reduction (Cohen’s d = 1.24, p < 0.001). User acceptance reached 94%. Conclusions: The proposed in-ear platform enables closed-loop adaptive regulation of anxiety in the eVTOL cabin and overcomes the limitations of conventional passive mitigation strategies. By combining vibration-tolerant physiological sensing with multimodal environmental control, the work offers a practical pathway for improving passenger experience in urban air mobility and provides a useful reference for human-factors standards governing autonomous aircraft. Full article
(This article belongs to the Special Issue Human-Centered Design in Wearable Technology)
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39 pages, 10372 KB  
Article
Learning-Enhanced Predictive Control and Experimental Validation of an Electro-Hydraulic Track Tensioning System for Tracked Vehicles
by Zian Ding, Shufa Sun, Hongxing Zhu, Zhiyong Yan and Yuan Zhou
Actuators 2026, 15(6), 292; https://doi.org/10.3390/act15060292 - 26 May 2026
Viewed by 287
Abstract
The electro-hydraulic track tensioning system of a tracked vehicle directly affects track engagement stability, vibration response, and energy utilization efficiency under complex terrain and time-varying loads. Accurate and robust control is therefore of great engineering significance. This paper focuses on an electro-hydraulic tensioning [...] Read more.
The electro-hydraulic track tensioning system of a tracked vehicle directly affects track engagement stability, vibration response, and energy utilization efficiency under complex terrain and time-varying loads. Accurate and robust control is therefore of great engineering significance. This paper focuses on an electro-hydraulic tensioning system with a composite actuation structure consisting of a proportional main valve and two 2/2 on–off valves and proposes a learning-enhanced nonlinear model predictive control (L-NMPC) method. Residual learning, adaptive weight/constraint scheduling, and execution-layer mode coordination are integrated into a unified predictive control framework. The study is carried out on a strongly coupled Simulink–AMESim–RecurDyn co-simulation model and an LF1352 prototype-vehicle test platform. Comparative evaluations are conducted under steady step-and-ramp tracking, random rough terrain, sudden steering/braking pulses, supply-pressure limitation, and parameter drift/sudden-change conditions. The evaluation indices include track-tension tracking error, peak overshoot, settling time, energy consumption, and stability under parameter mismatch. Compared with conventional nonlinear model predictive control (NMPC), the proposed L-NMPC reduces the root-mean-square error of track tension by 42–58%, decreases peak overshoot by 30–40%, shortens settling time by 25–35%, and achieves a 12–17% reduction in energy consumption at the simulation level. Under ±20% parameter perturbation, the fluctuation in track tension can be constrained within ±1.1 kN. The simulation and real-vehicle results remain consistent in terms of the dominant dynamic trends and performance ranking. This study provides a verifiable implementation path for model–data-fusion control of strongly coupled electro-hydraulic actuation systems and offers an engineering reference for intelligent, energy-efficient, and highly reliable control of tracked-vehicle chassis systems. Full article
(This article belongs to the Section Actuators for Surface Vehicles)
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28 pages, 2925 KB  
Article
Transfer-Function Modeling and Modal Characterization of Wooden Beam Specimens Based on Frequency Response Functions
by Hongru Qiu, Liangping Zhang, Yunqi Cui, Tao Ding and Nanfeng Zhu
Forests 2026, 17(5), 623; https://doi.org/10.3390/f17050623 - 21 May 2026
Cited by 1 | Viewed by 215
Abstract
This study utilized three controlled Sitika spruce beam specimens and established a parameterized transfer-function model based on force–acceleration frequency response functions (FRFs) to characterize and reconstruct the frequency-domain modal response of beam specimens. The specimens were tested using non-contact magnetic swept-sine excitation, laser [...] Read more.
This study utilized three controlled Sitika spruce beam specimens and established a parameterized transfer-function model based on force–acceleration frequency response functions (FRFs) to characterize and reconstruct the frequency-domain modal response of beam specimens. The specimens were tested using non-contact magnetic swept-sine excitation, laser Doppler vibration measurement, and synchronous FFT analysis methods under free–free boundary conditions. In the experiment, one specimen was used for modeling and the other two specimens were used for consistency verification. Based on the measured complex FRF, a 1st–5th order modal transfer-function model was established in the frequency range of 0–1000 Hz. The experiment identified five resonance frequencies of the specimen, which were 65.0, 198.5, 370.5, 620.0, and 930.0 Hz, respectively. The model can reconstruct the measured magnitude and phase responses, with magnitude residuals within ±5 dB, resonance-peak magnitude errors of 0.03–0.73 dB, and wrapped-phase deviation around the poles of 0.20–5.08°. The Nyquist trajectory was continuous and smooth, with all poles located in the left half-plane, indicating that the model has stable pole behavior. The research results support the specimen vibration response as an approximate linear time-invariant system under small-magnitude and controlled testing conditions. The model can provide a physically interpretable and reconstructable modal-parameter expression for evaluating frequency-domain vibration responses of controlled wooden beam specimens. Full article
(This article belongs to the Section Wood Science and Forest Products)
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32 pages, 12648 KB  
Article
Fractional-Order-Enhanced Dual-View Representation and VibrMamba–VMamba Collaborative Modeling for Gearbox Fault Diagnosis
by Fengyun Xie, Kang Niu, Zeyan Song, Shulei Wang, Huihang Chen and Ying Cao
Fractal Fract. 2026, 10(5), 342; https://doi.org/10.3390/fractalfract10050342 - 19 May 2026
Viewed by 218
Abstract
Gearbox fault diagnosis under controlled bench-test conditions with known speed variations and noise interference remains challenging because nonstationarity, background noise, and operating-condition fluctuations can easily submerge weak localized fault features. To address this issue, this study proposes a fault diagnosis method based on [...] Read more.
Gearbox fault diagnosis under controlled bench-test conditions with known speed variations and noise interference remains challenging because nonstationarity, background noise, and operating-condition fluctuations can easily submerge weak localized fault features. To address this issue, this study proposes a fault diagnosis method based on a fractional-order-enhanced dual-view representation and VibrMamba–VMamba collaborative modeling. First, this study introduces a Grünwald–Letnikov fractional-order differential enhancement module with a fractional order of α=0.6 to strengthen fault-sensitive impulsive components and improve the representation of nonstationary vibration signals. The framework then uses the enhanced signal to construct dual-view inputs: a fractional-order-enhanced one-dimensional vibration sequence and a fractional-order-enhanced synchrosqueezing transform (SST) time–frequency image. Subsequently, the framework constructs a VibrMamba temporal branch and a VMamba visual branch to extract dynamic temporal features and global structural features, respectively. Instead of using simple feature concatenation, this study designs a sample-adaptive collaborative fusion mechanism with gated weighting and cross-branch residual enhancement to integrate complementary temporal–visual representations. Bench-level experiments show that the proposed method achieves 98.90% diagnostic accuracy under clean test conditions and maintains 91.52% accuracy at −5 dB signal-to-noise ratio (SNR). These results should be interpreted as bench-level validation under controlled laboratory conditions rather than as direct evidence of field-level generalization. This framework provides a methodological solution that integrates fractional-order signal enhancement, dual-view representation, and Mamba-style collaborative state-space modeling for gearbox fault classification under controlled laboratory conditions with known speed variations and noise disturbances. Full article
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14 pages, 285 KB  
Article
Adjunct Tendon Vibration and Bone Outcomes in Older Adults with Osteoporosis: A 12-Month Prospective Cohort Study
by Konstantinos Moutaftsis, Aikaterini Anetaki, Constantine Anetakis, Eleftherios Panteris, Ioannis Chaniotakis, Ilias Pessach, Maria Chatzidimitriou, Petros Skepastianos, Eleni Andreadou, Mattheos Bobos, Paris Iakovidis, Thomas Apostolou and Stella Mitka
J. Clin. Med. 2026, 15(10), 3798; https://doi.org/10.3390/jcm15103798 - 14 May 2026
Viewed by 288
Abstract
Background/Objectives: To evaluate the association between adjunct tendon vibration and changes over 12 months in dual-energy X-ray absorptiometry (DXA)-derived bone mineral density (BMD) T-score and bone turnover markers in older adults with osteoporosis receiving standard care in a non-randomised controlled cohort study. Methods: [...] Read more.
Background/Objectives: To evaluate the association between adjunct tendon vibration and changes over 12 months in dual-energy X-ray absorptiometry (DXA)-derived bone mineral density (BMD) T-score and bone turnover markers in older adults with osteoporosis receiving standard care in a non-randomised controlled cohort study. Methods: This 12-month prospective non-randomised controlled cohort study included 100 adults aged ≥60 years with DXA-confirmed osteoporosis recruited from orthopaedic clinics in the Greater Thessaloniki area. Fifty participants received adjunct tendon vibration therapy in addition to usual care, while 50 received usual care alone. Usual care consisted of calcium and vitamin D supplementation. The primary outcome was post-intervention BMD T-score, analysed using analysis of covariance (ANCOVA) adjusted for baseline T-score. Secondary outcomes included changes in bone turnover markers and calcium/phosphate metabolism. Sensitivity analysis was conducted using a linear mixed-effects model with repeated BMD measurements. Results: Baseline characteristics were comparable between groups. Over 12 months, the intervention group showed greater improvement in BMD T-score than controls (median change 0.90 [0.70–1.00] vs. −0.10 [−0.10–0.10], p < 0.001). The adjusted between-group difference was 0.871 (95% CI 0.773–0.968; p < 0.001). Results remained consistent after adjustment for age and sex. The mixed-effects model confirmed a significant group × time interaction (β = 0.922, 95% CI 0.806–1.038; p < 0.001). Bone resorption markers decreased more in the intervention group. The magnitude of the observed BMD improvement (~0.9 T-score units) is notable for a non-pharmacological intervention and should be interpreted cautiously. Conclusions: Adjunct tendon vibration was associated with a more favourable BMD trajectory and changes in bone turnover markers in older adults with osteoporosis receiving standard care. Given the non-randomised design and potential residual confounding, these findings should be interpreted as associative rather than causal. Full article
(This article belongs to the Section Orthopedics)
43 pages, 15260 KB  
Article
Precision Docking of a Foldable Quadrotor on a Wheel-Legged Robot via CFNTSM with GFA-FEO and FiLM-SAC Deep Reinforcement Learning
by Qibin Gu and Zhenxing Sun
Drones 2026, 10(5), 378; https://doi.org/10.3390/drones10050378 - 14 May 2026
Viewed by 375
Abstract
Deploying unmanned aerial vehicles (UAVs) cooperatively with legged robots for disaster response and inspection requires autonomous docking on miniature walking platforms. This study addresses the problem of landing a foldable quadrotor onto the back of a trotting wheel-legged robot (300×180 [...] Read more.
Deploying unmanned aerial vehicles (UAVs) cooperatively with legged robots for disaster response and inspection requires autonomous docking on miniature walking platforms. This study addresses the problem of landing a foldable quadrotor onto the back of a trotting wheel-legged robot (300×180 mm) and subsequently taking off while carrying it as a payload. Four tightly coupled challenges distinguish this task from conventional mobile-platform landing: (i) an extremely small landing surface, (ii) gait-induced periodic vibrations at 2.5 Hz, (iii) continuous platform translation at 0.30.8 m/s, and (iv) surface docking that requires simultaneous position and attitude matching rather than mere point tracking. The proposed framework comprises four components: (1) a novel single-servo crank-rocker folding mechanism that reduces the folded body footprint by 48.5% and the maximum linear dimension from 590 mm to 309 mm (↓47.6%) compared with the prior dual-servo design; (2) a staged Continuous Fast Nonsingular Terminal Sliding Mode (CFNTSM) controller combined with a Gait-Frequency-Aware Finite-time Extended Observer (GFA-FEO); (3) a Feature-wise Linear Modulation Soft Actor-Critic (FiLM-SAC) residual reinforcement-learning policy conditioned on physical states and mission phase, with an adaptive trust weight λ(t); and (4) a payload-adaptive takeoff strategy with parameter hot-switching to handle the twofold mass increase. Extensive Monte Carlo simulations and ablation studies across three experiment groups demonstrate that the proposed hierarchical framework achieves sub-centimetre (<10 mm) position accuracy and <3° attitude matching on a walking platform. Quantitatively, the full method reduces docking RMSE by 42% relative to the model-based CFNTSM + GFA-FEO controller without residual RL (4.2 vs. 7.2 mm) and reduces post-lock takeoff RMSE by 63% through FEO hot-switching (16.2 vs. 44.2 mm). Full article
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20 pages, 8905 KB  
Article
Flexural Behavior of Slender UHPC Prestressed Beams Without Passive Reinforcement
by Juan Navarro-Gregori, Yeiner A. Gómez-Velásquez, Juan A. Mateu-Sánchez, Pedro Serna and José R. Martí-Vargas
Materials 2026, 19(10), 1936; https://doi.org/10.3390/ma19101936 - 8 May 2026
Viewed by 212
Abstract
This study examines the flexural behavior of slender ultra-high-performance fiber-reinforced concrete (UHPC) beams with cross-sections intended for scalable precast production. The members are prestressed only, with no passive reinforcement. An experimental program on eighteen beams combined three cross-sectional typologies (rectangular as a reference, [...] Read more.
This study examines the flexural behavior of slender ultra-high-performance fiber-reinforced concrete (UHPC) beams with cross-sections intended for scalable precast production. The members are prestressed only, with no passive reinforcement. An experimental program on eighteen beams combined three cross-sectional typologies (rectangular as a reference, I-shaped, and H-shaped), three UHPC mixes with fiber contents of 130, 160, and hybrid 130 + 60 kg/m3, and two prestressing layouts (bottom-only and symmetric top-and-bottom). Prestress was indirectly controlled by evaluating effective tendon stress, with time-dependent prestress losses quantified using vibrating-wire strain gauges. Four-point bending tests provided material characterization and structural response, enabling assessment of stiffness and ultimate capacity. The results highlight the coupled influence of cross-section, fiber dosage, and prestress configuration on global response. Post-cracking residual strength in UHPC promoted stable multiple cracking, while prestressing governed deflection control. Residual equivalent flexural tensile stresses above 35 MPa at deflections over 50 mm, span/70, were achieved in I- and H-shaped sections, exceeding those of rectangular sections. Overall, the study substantiates the feasibility of lightweight, durable, prestressed UHPC members that deliver significant self-weight reductions without compromising reliability. Full article
(This article belongs to the Section Construction and Building Materials)
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24 pages, 8269 KB  
Article
Performance Analysis and Seismic Response Control Study of Self-Centering Variable Friction Damper
by Peizhen Li, Chen Gu and Zhen Xu
Buildings 2026, 16(9), 1842; https://doi.org/10.3390/buildings16091842 - 5 May 2026
Viewed by 394
Abstract
A novel self-centering variable friction damper (SC-VFD) was designed, which has the characteristics of high bearing capacity and good durability. This damper has a dual self-centering mechanism, which can provide restoring force via a coil spring under small earthquakes, as well as restoring [...] Read more.
A novel self-centering variable friction damper (SC-VFD) was designed, which has the characteristics of high bearing capacity and good durability. This damper has a dual self-centering mechanism, which can provide restoring force via a coil spring under small earthquakes, as well as restoring force via a coil spring and a disc spring under medium or large earthquakes. In addition, this damper has variable friction capacity under different earthquakes. The configuration and the working mechanism of the SC-VFD was studied, and the mechanical model was established; then, finite element analysis of the SC-VFD was carried out. The results show that the SC-VFD has good self-centering performance and energy dissipation capacity; the residual displacement could be controlled by adjusting the preload and the stiffness of the disc spring; the hysteresis curves obtained through theoretical calculation and numerical simulation are in good agreement, verifying the correctness of the theoretical model and the finite element model. Finally, a four-story steel frame structure was designed for seismic performance analysis in order to verify the effect of the SC-VFD on the energy dissipation and vibration reduction of the frame structure. The results show that the vibration reduction rates of the SC-VFD can reach 33% under frequent earthquakes and 51% under rare earthquakes. Therefore, the SC-VFD has good seismic effects and can be applied to increase the resilience of building structures. Full article
(This article belongs to the Section Building Structures)
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20 pages, 2307 KB  
Article
Analytical Modeling and Structural Optimization of Slender Variable Cross-Section Rod for High-Speed Chip Placement
by Guoqing Hu, Tonglin Song and Jian Xue
Machines 2026, 14(5), 494; https://doi.org/10.3390/machines14050494 - 28 Apr 2026
Viewed by 327
Abstract
The cantilever pick-and-place arm of the high-speed placement machine is susceptible to micro-vibration and elastic deformation under high-acceleration motion, thereby degrading chip placement accuracy. To address this issue, this paper presents an analytical study on the natural frequency characteristics and structural optimization of [...] Read more.
The cantilever pick-and-place arm of the high-speed placement machine is susceptible to micro-vibration and elastic deformation under high-acceleration motion, thereby degrading chip placement accuracy. To address this issue, this paper presents an analytical study on the natural frequency characteristics and structural optimization of slender variable-cross-section rods. First, based on the thin-walled shell theory, a displacement field model of the thin-walled cantilever rod is established. Second, combining the energy method and Hamilton’s principle, the undamped free vibration equation is derived. Using the Rayleigh–Ritz method with Chebyshev polynomials as the basis functions, an analytical calculation model for the natural frequency of the variable-section thin-walled rod is constructed. The model is validated against finite element simulations, and the relative errors of the low-order natural frequencies are controlled within 5%, confirming its favorable accuracy and robustness. Furthermore, the four-factor three-level orthogonal experiment is designed with the objective of maximizing natural frequency to conduct parameters sensitivity analysis. Accordingly, the optimal structural parameter combination (ϕ3 = 8 mm, L1 = 10 mm, L2 = 50 mm, and L3 = 5 mm) is determined. Finally, the maximum dynamic deformation under high-acceleration motion decreases from 0.066 mm to 0.021 mm, a reduction of 68.2%, which effectively suppresses residual vibration and end displacement deviation. The analytical method proposed in this study provides a theoretical basis for the rapid dynamic performance evaluation of flexible components in high-speed precision equipment, and the optimization strategy can offer engineering references for the high-stiffness design of key components in chip placement machines. Full article
(This article belongs to the Section Machine Design and Theory)
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18 pages, 4789 KB  
Article
Model-Correction-Based Feedforward Anti-Sway Control for Bridge Cranes with Rigid Vertical Slender Payloads
by Hantao Chen, Wenyong Guo, Chenghao Cao, Liangwu Yu, Xiaofeng Li, Xinglong Pan and Hang Fu
Appl. Sci. 2026, 16(8), 3888; https://doi.org/10.3390/app16083888 - 16 Apr 2026
Viewed by 532
Abstract
The overall swing dynamics of rigid slender payloads lifted in a vertical orientation deviate significantly from the ideal point-mass pendulum model, leading to severe performance degradation of feedforward control strategies designed based on this simplified model. This paper focuses on the bridge crane [...] Read more.
The overall swing dynamics of rigid slender payloads lifted in a vertical orientation deviate significantly from the ideal point-mass pendulum model, leading to severe performance degradation of feedforward control strategies designed based on this simplified model. This paper focuses on the bridge crane system and establishes a double-pendulum dynamic model that accounts for the payload’s mass distribution effect. To compensate for the theoretical error of the linearized model, a data-driven payload swing frequency correction strategy is proposed. Based on this corrected model, a dual-mode Zero Vibration Derivative (Corrected-Dual-ZVD) input shaping feedforward controller is designed. Simulations under eight typical operating conditions were conducted using the Matlab/Simulink control system simulation software. The results show that compared to the controller designed based on the traditional single-pendulum model, the proposed Corrected-Dual-ZVD controller, based on the corrected double-pendulum model, can significantly reduce the maximum residual swing angle of the payload. The average swing angle suppression rate reaches 68.9% across seven valid operating conditions, and it can reach 98.9% under the extreme condition of high speed and short rope length. When model parameters are subjected to ±10% disturbances, the proposed method demonstrates good robustness. Full article
(This article belongs to the Section Marine Science and Engineering)
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21 pages, 549 KB  
Article
Closed-Form Almost Periodical Solutions for a Dynamical System Using the Optimal Auxiliary Functions Method
by Remus-Daniel Ene, Romeo Negrea, Rodica Badarau and Nicolina Pop
Mathematics 2026, 14(8), 1260; https://doi.org/10.3390/math14081260 - 10 Apr 2026
Viewed by 324
Abstract
The main aim of our paper is concerning the damped oscillations of 3D dynamical systems, depending on a single physical parameter. This system does not admit Hamilton–Poisson structure but can be explicitly integrated, and the exact parametric solutions are built via a smooth [...] Read more.
The main aim of our paper is concerning the damped oscillations of 3D dynamical systems, depending on a single physical parameter. This system does not admit Hamilton–Poisson structure but can be explicitly integrated, and the exact parametric solutions are built via a smooth function. The influence of the physical parameter is semi-analytically analyzed using the Optimal Auxiliary Functions Method (OAFM). One of the advantages of the applied method is the small number of iterations due to the appropriate choice of auxiliary convergence control functions. The OAFM solutions are effectively in good agreement with corresponding numerical ones, represented qualitatively by figures and quantitatively by tables. The statistical tests of residuals highlighted the accuracy of our results. The proposed method can be considered an analytical tool for nonlinear vibration analysis of numerous applications from electrical engineering or mechanical structures based on damped rotatory oscillators to the field of image encryption. Full article
(This article belongs to the Special Issue Mathematical Modelling of Nonlinear Dynamical Systems)
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20 pages, 1900 KB  
Article
Enhanced Trajectory Tracking Accuracy of a Mobile Manipulator via MRE Intelligent Isolation System Under Continuous Impact Disturbances
by Zhenghan Zhu, Chi Fai Cheung and Yangmin Li
Machines 2026, 14(4), 385; https://doi.org/10.3390/machines14040385 - 1 Apr 2026
Viewed by 800
Abstract
Continuous impact vibrations caused by uneven road surfaces (such as speed bumps) can significantly reduce the trajectory tracking accuracy of mobile manipulator. This study proposes for the first time an integrated framework combining a semi-active magnetorheological elastomer (MRE) intelligent isolation system with an [...] Read more.
Continuous impact vibrations caused by uneven road surfaces (such as speed bumps) can significantly reduce the trajectory tracking accuracy of mobile manipulator. This study proposes for the first time an integrated framework combining a semi-active magnetorheological elastomer (MRE) intelligent isolation system with an active trajectory tracking controller to improve the operational accuracy of mobile manipulator under continuous impact excitation, and numerically evaluates the effect of the MRE isolation system. The working principle and design method of the MRE isolation system for mobile manipulators are described, and a multi-layer MRE isolator is fabricated and experimentally characterized. A semi-active control strategy is developed to adaptively adjust the stiffness and damping of the isolator based on continuous impact input. To further compensate for residual disturbances transmitted through the isolator, an enhanced computational torque control (CTC) and proportional-derivative (PD) controller with predefined-time disturbance observer (DOB) is designed for the mobile manipulator. This ensures that the disturbance estimate converges within a predefined time window, thereby improving the robustness of the closed-loop system. By constructing a comprehensive multibody dynamics model coupling the vehicle, the MRE isolator, and the manipulator, vibration transmission is analyzed and trajectory tracking performance is evaluated. Simulation results under continuous road impact excitation demonstrate that the proposed semi-active MRE intelligent isolation system can significantly suppress base vibration and greatly improve the trajectory tracking accuracy of the mobile manipulator end-effector and its joints. This study proves the feasibility of the semi-active MRE isolation system in the trajectory tracking application of mobile manipulator and provides a new approach for the collaborative design of intelligent vibration isolation and control strategies for mobile robot systems operating in harsh and frequently impacted environments. Full article
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33 pages, 6453 KB  
Article
Design of Optimized Time-Shifted Sine Motion Profiles for High-Speed, Low-Vibration Motion
by Chang-Wan Ha and Dongwook Lee
Appl. Sci. 2026, 16(6), 3098; https://doi.org/10.3390/app16063098 - 23 Mar 2026
Viewed by 417
Abstract
High-speed precision positioning systems require motion profiles that achieve rapid transfer while suppressing motion-induced vibration. Conventional time-optimal trajectories often minimize travel time at the expense of residual vibration, which prolongs settling and degrades positioning accuracy. This paper proposes a systematic framework for designing [...] Read more.
High-speed precision positioning systems require motion profiles that achieve rapid transfer while suppressing motion-induced vibration. Conventional time-optimal trajectories often minimize travel time at the expense of residual vibration, which prolongs settling and degrades positioning accuracy. This paper proposes a systematic framework for designing optimized time-shifted sine motion profiles that explicitly incorporate vibration suppression in the frequency domain. By integrating time-domain profile construction with Laplace-domain analysis, motion profiles are derived in a unified manner from 1st-order to generalized nth-order forms. A key theoretical result shows that the residual vibration amplitude after motion completion is proportional to the magnitude of |sX(s)| evaluated at the system poles, providing a clear analytical basis for a closed-form zero placement strategy. Explicit algebraic design conditions are obtained without iterative numerical optimization. Simulation-based case studies demonstrate that the proposed approach drastically reduces transient and residual vibrations while maintaining competitive motion completion times compared with time-optimal designs. Robustness is quantitatively evaluated using insensitivity and high-frequency roll-off metrics, revealing that increasing the profile order improves uncertainty tolerance by approximately 20 dB/decade per order. Furthermore, a short-stroke scenario shows that lower-order sine profiles can be advantageous under moderate uncertainty. The proposed framework provides a practical guideline for vibration-aware high-speed motion control. Full article
(This article belongs to the Special Issue Advanced Control Systems and Control Engineering)
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17 pages, 4367 KB  
Article
On the Ultrasonic Atomization of SS316L Parts Manufactured via Laser Powder Bed Fusion for the Closed-Loop Production
by Olga Bashmakova, Leonid Fedorenko, Andrey Vasilev, Boris Zotov, Andrey Urzhumtsev, Ali Kavousi Sisi, Maria Lyange, Ivan Pelevin, Mikhail Gilvitinov, Ksenia Petukhova, Ekaterina Zinovyeva and Stanislav Chernyshikhin
J. Manuf. Mater. Process. 2026, 10(3), 93; https://doi.org/10.3390/jmmp10030093 - 10 Mar 2026
Viewed by 992
Abstract
Sustainable feedstock management remains a major challenge in laser beam powder bed fusion (PBF-LB), where conventional reuse strategies are typically limited to sieving and blending rather than full material regeneration. Ultrasonic atomization (UA) offers a fundamentally different powder production route based on capillary-wave [...] Read more.
Sustainable feedstock management remains a major challenge in laser beam powder bed fusion (PBF-LB), where conventional reuse strategies are typically limited to sieving and blending rather than full material regeneration. Ultrasonic atomization (UA) offers a fundamentally different powder production route based on capillary-wave instabilities induced at the surface of a molten metal by high-frequency vibrations. In contrast to turbulence-driven atomization, droplet formation in UA is primarily governed by ultrasonic frequency and intrinsic thermophysical properties of the melt, enabling quasi-deterministic particle formation with high sphericity and reduced satellite formation. In this study, ultrasonic atomization was investigated as a closed-loop route for converting PBF-LB-manufactured 316L stainless steel parts into reusable powder. Printed rods were remelted and atomized under controlled variation of electric current and vibration amplitude. The resulting powders were characterized in terms of morphology, internal microstructure, particle size distribution, chemical composition, and gas impurity content. UA produced highly spherical particles with reduced internal porosity and improved flowability compared to the initial gas-atomized powder, while preserving the principal alloying elements. An increase in oxygen content was observed after recycling, attributed to selective high-temperature oxidation under residual oxygen in nominally inert conditions. The results establish a mechanistic framework for transforming consolidated PBF-LB material into secondary feedstock and identify key parameters governing structural and compositional stability in closed-loop recycling. Full article
(This article belongs to the Special Issue Recent Advances in Optimization of Additive Manufacturing Processes)
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