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Keywords = dynamical behavior

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20 pages, 1939 KB  
Article
Fiber-Diode Hybrid Laser Welding of IGBT Copper Terminals
by Miaosen Yang, Qiqi Lv, Shengxiang Liu, Qian Fu, Xiangkuan Wu, Yue Kang, Xiaolan Xing, Zhihao Deng, Fuxin Yao and Simeng Chen
Metals 2026, 16(2), 139; https://doi.org/10.3390/met16020139 - 23 Jan 2026
Abstract
The traditional ultrasonic bonding technique for IGBT T2 copper terminals often causes physical damage to ceramic substrates, severely compromising the reliability of power modules. Meanwhile, T2 copper laser welding faces inherent challenges including low laser absorption efficiency and unstable molten pool dynamics. To [...] Read more.
The traditional ultrasonic bonding technique for IGBT T2 copper terminals often causes physical damage to ceramic substrates, severely compromising the reliability of power modules. Meanwhile, T2 copper laser welding faces inherent challenges including low laser absorption efficiency and unstable molten pool dynamics. To address these issues, this study targets the high-quality connection of IGBT T2 copper terminals and proposes a welding solution integrating a Fiber-Diode Hybrid Laser system with galvo-scanning technology. Comparative experiments between galvo-scanning and traditional oscillation methods CNC scanning were conducted under sinusoidal and circular trajectories to explore the regulation mechanism of welding quality. The results demonstrate that CNC scanning lacks precision in thermal input control, resulting in inconsistent welding quality. Galvo-scanning enables precise modulation of laser energy distribution and molten pool behavior, effectively reducing spatter and porosity defects. It also promotes the transition from columnar grains to equiaxed grains, significantly refining the weld microstructure. Under the sinusoidal trajectory with a welding speed of 20 mm/s, the Lap-shear strength of the galvo-scanned joint reaches 277 N/mm2, outperforming all CNC-scanned joints. This research proposes a non-contact welding strategy targeted at eliminating the mechanical failure mechanism associated with conventional ultrasonic bonding of ceramic substrates. It establishes the superiority of galvo-scanning for precision welding of high-reflectivity materials and lays a foundation for its potential application in new energy vehicle power modules and microelectronic packaging. Full article
(This article belongs to the Special Issue Advanced Laser Welding and Joining of Metallic Materials)
18 pages, 876 KB  
Article
Frontal Theta Oscillations in Perceptual Decision-Making Reflect Cognitive Control and Confidence
by Rashmi Parajuli, Eleanor Flynn and Mukesh Dhamala
Brain Sci. 2026, 16(2), 123; https://doi.org/10.3390/brainsci16020123 - 23 Jan 2026
Abstract
Background: Perceptual decision-making requires transforming sensory inputs into goal-directed actions under uncertainty. Neural oscillations in the theta band (3–7 Hz), particularly within frontal regions, have been implicated in cognitive control and decision confidence. However, whether changes in theta oscillations reflect greater effort during [...] Read more.
Background: Perceptual decision-making requires transforming sensory inputs into goal-directed actions under uncertainty. Neural oscillations in the theta band (3–7 Hz), particularly within frontal regions, have been implicated in cognitive control and decision confidence. However, whether changes in theta oscillations reflect greater effort during ambiguous decisions or more efficient control during clear conditions remains debated, and theta’s relationship to stimulus clarity is incompletely understood. Purpose: This study’s purpose was to examine how task difficulty modulates theta activity and how theta dynamics evolve across the decision-making process using two complementary analytical approaches. Methods: Electroencephalography (EEG) data were acquired from 26 healthy adults performing a face/house categorization task with images containing three levels of scrambled phase and Gaussian noise: clear (0%), moderate (40%), and high (55%). Theta dynamics were assessed from current source density (CSD) time courses of event-related potentials (ERPs) and single-trials. Statistical comparisons used Wilcoxon signed-rank tests with false discovery rate (FDR) correction for multiple comparisons. Results: Frontal theta power was greater for clear than noisy face stimuli (corrected p < 0.001), suggesting that theta activity reflects cognitive control effectiveness and decision confidence rather than processing difficulty. Connectivity decomposition revealed that frontoparietal theta coupling was modulated by stimulus clarity through both phase-locked (evoked: corrected p = 0.0085, dz = − 0.61) and ongoing (induced: corrected p = 0.049, dz = − 0.36) synchronization, with phase-locked coordination dominating the effect and showing opposite directionality to the induced components. Conclusions: Theta oscillations support perceptual decision-making through stimulus clarity modulation of both phase-locked and ongoing synchronization, with evoked component dominating. These findings underscore the importance of methodological choices in EEG-based connectivity research, as different analytical approaches capture different aspects of the same neural dynamics. The pattern of stronger theta activity for clear stimuli is consistent with neural processes related to decision confidence, though confidence was not measured behaviorally. Full article
(This article belongs to the Section Cognitive, Social and Affective Neuroscience)
17 pages, 2959 KB  
Article
GABES-LSTM-Based Method for Predicting Draft Force in Tractor Rotary Tillage Operations
by Wenbo Wei, Maohua Xiao, Yue Niu, Min He, Zhiyuan Chen, Gang Yuan and Yejun Zhu
Agriculture 2026, 16(3), 297; https://doi.org/10.3390/agriculture16030297 - 23 Jan 2026
Abstract
During rotary tillage operations, the draft force is jointly affected by operating parameters and soil conditions, exhibiting pronounced nonlinearity, time-varying behavior, and historical dependence, which all impose higher requirements on tractor operating parameter matching and traction performance analysis. A draft force prediction method [...] Read more.
During rotary tillage operations, the draft force is jointly affected by operating parameters and soil conditions, exhibiting pronounced nonlinearity, time-varying behavior, and historical dependence, which all impose higher requirements on tractor operating parameter matching and traction performance analysis. A draft force prediction method that is based on a long short-term memory (LSTM) neural network jointly optimized by a genetic algorithm (GA) and the bald eagle search (BES) algorithm, termed GABES-LSTM, is proposed to address the limited prediction accuracy and stability of traditional empirical models and single data-driven approaches under complex field conditions. First, on the basis of the mechanical characteristics of rotary tillage operations, a time-series mathematical description of draft force is established, and the prediction problem is formulated as a multi-input single-output nonlinear temporal mapping driven by operating parameters such as travel speed, rotary speed, and tillage depth. Subsequently, an LSTM-based draft force prediction model is constructed, in which GA is employed for global hyperparameter search and BES is integrated for local fine-grained optimization, thereby improving the effectiveness of model parameter optimization. Finally, a dataset is established using measured field rotary tillage data to train and test the proposed model, and comparative analyses are conducted against LSTM, GA-LSTM, and BES-LSTM models. Experimental results indicate that the GABES-LSTM model outperforms the comparison models in terms of mean absolute percentage error, mean relative error, relative analysis error, and coefficient of determination, effectively capturing the dynamic variation characteristics of draft force during rotary tillage operations while maintaining stable prediction performance under repeated experimental conditions. This method provides effective data support for draft force prediction analysis and operating parameter adjustment during rotary tillage operations. Full article
(This article belongs to the Section Agricultural Technology)
11 pages, 1531 KB  
Article
Fibroblast Growth Factor-2 and Enamel Matrix Derivative Enhance Proliferation, Migration, and Wound Healing in Gingival Epithelial and Fibroblast Cells
by Nanako Tsuchimochi, Naoki Maruo, Kimiko Ohgi, Hiroaki Yamato, Masanobu Nakagami, Aya Fujioka and Yasunori Yoshinaga
Medicina 2026, 62(2), 244; https://doi.org/10.3390/medicina62020244 - 23 Jan 2026
Abstract
Background and Objectives: Soft-tissue healing, particularly rapid epithelialization, is a critical determinant of successful periodontal regenerative therapy. Fibroblast growth factor-2 (FGF-2) and enamel matrix derivative (EMD) are regenerative biomaterials used clinically. However, their comparative effects on gingival epithelial and fibroblast cell behavior [...] Read more.
Background and Objectives: Soft-tissue healing, particularly rapid epithelialization, is a critical determinant of successful periodontal regenerative therapy. Fibroblast growth factor-2 (FGF-2) and enamel matrix derivative (EMD) are regenerative biomaterials used clinically. However, their comparative effects on gingival epithelial and fibroblast cell behavior remain unclear. The objective of this study was to examine the effects of FGF-2 on the proliferation, migration, and wound closure dynamics of human gingival epithelial-like cells (Ca9-22) and human gingival fibroblasts (HGF-1) and to compare its effects with those of EMD. Materials and Methods: Ca9-22 and HGF-1 cells were stimulated with FGF-2 (10 µg/mL) or EMD (100 µg/mL) or left unstimulated (control). Wound closure was assessed via scratch assay, migratory capacity via Transwell assay, and proliferation via automated cell counting at pre-defined time points. Results: In Ca9-22 cells, both FGF-2 and EMD significantly accelerated wound closure in a time- and concentration-dependent manner and markedly enhanced cell migration and proliferation compared to controls. EMD consistently induced a stronger migratory response. In HGF-1 cells, FGF-2 significantly advanced wound closure by day 5, whereas EMD induced a non-significant favorable trend. Both treatments significantly increased cell proliferation and migration of HGF-1 cells, with EMD yielding the highest migratory cell count. Conclusions: FGF-2 promotes gingival soft-tissue healing by enhancing epithelial-like cell and fibroblast migration and proliferation, supporting rapid epithelialization. EMD produced comparable wound-healing effects, indicating that the activation of both epithelial and mesenchymal cells is a central mechanism shared by distinct regenerative agents. Full article
(This article belongs to the Section Dentistry and Oral Health)
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23 pages, 2076 KB  
Article
Parameter Identification of a Two-Degree-of-Freedom Lower Limb Exoskeleton Dynamics Model Based on Tent-GA-GWO
by Wei Li, Tianlian Pang, Zhengwei Yue, Zhenyang Qin and Dawen Sun
Processes 2026, 14(3), 406; https://doi.org/10.3390/pr14030406 - 23 Jan 2026
Abstract
Against the backdrop of intensifying global population aging, lower-limb exoskeleton robots serve as core devices for rehabilitation and power assistance. Their control accuracy and motion smoothness rely on precise dynamic models. However, parameter uncertainties caused by variations in human lower limbs, assembly errors, [...] Read more.
Against the backdrop of intensifying global population aging, lower-limb exoskeleton robots serve as core devices for rehabilitation and power assistance. Their control accuracy and motion smoothness rely on precise dynamic models. However, parameter uncertainties caused by variations in human lower limbs, assembly errors, and wear pose a critical bottleneck for accurate modeling. Aiming to achieve high-precision dynamic modeling for a two-degree-of-freedom lower-limb exoskeleton, this paper proposes a parameter identification method named Tent-GA-GWO. A dynamic model incorporating joint friction and link inertia was constructed and linearized. An excitation trajectory based on Fourier series, conforming to human physiological constraints, was designed. To enhance algorithm performance, Tent chaotic mapping was employed to optimize population initialization, a nonlinear control parameter was used to balance search behavior, and genetic algorithm operators were integrated to increase population diversity. Simulation results show that, compared to the traditional GWO algorithm, Tent-GA-GWO improved convergence efficiency by 32.1% and reduced the fitness value by 0.26%, demonstrating superior identification accuracy over algorithms such as GA and LIL-GWO. Validation on a physical prototype indicated a close agreement between the computed torque based on the identified parameters and the actual output torque, confirming the method’s effectiveness and engineering feasibility. This work provides support for precise control of exoskeletons. Full article
25 pages, 5767 KB  
Article
A Safe Maritime Path Planning Fusion Algorithm for USVs Based on Reinforcement Learning A* and LSTM-Enhanced DWA
by Zhenxing Zhang, Qiujie Wang, Xiaohui Wang and Mingkun Feng
Sensors 2026, 26(3), 776; https://doi.org/10.3390/s26030776 (registering DOI) - 23 Jan 2026
Abstract
In complex maritime environments, the safety of path planning for Unmanned Surface Vehicles (USVs) remains a significant challenge. Existing methods for handling dynamic obstacles often suffer from inadequate predictability and generate non-smooth trajectories. To address these issues, this paper proposes a reliable hybrid [...] Read more.
In complex maritime environments, the safety of path planning for Unmanned Surface Vehicles (USVs) remains a significant challenge. Existing methods for handling dynamic obstacles often suffer from inadequate predictability and generate non-smooth trajectories. To address these issues, this paper proposes a reliable hybrid path planning approach that integrates a reinforcement learning-enhanced A* algorithm with an improved Dynamic Window Approach (DWA). Specifically, the A* algorithm is augmented by incorporating a dynamic five-neighborhood search mechanism, a reinforcement learning-based adaptive weighting strategy, and a path post-optimization procedure. These enhancements collectively shorten the path length and significantly improve trajectory smoothness. While ensuring that the global path avoids dynamic obstacles smoothly, a Kalman Filter (KF) is integrated into the Long Short-Term Memory (LSTM) network to preprocess historical data. This mechanism suppresses transient outliers and stabilizes the trajectory prediction of dynamic obstacles. Moreover, the evaluation function of the DWA is refined by incorporating the International Regulations for Preventing Collisions at Sea (COLREGs) constraints, enabling compliant navigation behaviors. Simulation results in MATLAB demonstrate that the enhanced A* algorithm better conforms to the kinematic model of the USVs. The improved DWA significantly reduces collision risks, thereby ensuring safer navigation in dynamic marine environments. Full article
(This article belongs to the Section Navigation and Positioning)
19 pages, 1859 KB  
Article
Exploring Dynamic Behavior in the Fractional-Order Reaction–Diffusion Model
by Wei Zhang and Haolu Zhang
Fractal Fract. 2026, 10(2), 77; https://doi.org/10.3390/fractalfract10020077 (registering DOI) - 23 Jan 2026
Abstract
This paper presents a novel high-order numerical method. The proposed scheme utilizes polynomial generating functions to achieve p order accuracy in time for the Grünwald–Letnikov fractional derivatives, while maintaining second-order spatial accuracy. By incorporating a short-memory principle, the method remains computationally efficient for [...] Read more.
This paper presents a novel high-order numerical method. The proposed scheme utilizes polynomial generating functions to achieve p order accuracy in time for the Grünwald–Letnikov fractional derivatives, while maintaining second-order spatial accuracy. By incorporating a short-memory principle, the method remains computationally efficient for long-time simulations. The authors rigorously analyze the stability of equilibrium points for the fractional vegetation–water model and perform a weakly nonlinear analysis to derive amplitude equations. Convergence analysis confirms the scheme’s consistency, stability, and convergence. Numerical simulations demonstrate the method’s effectiveness in exploring how different fractional derivative orders influence system dynamics and pattern formation, providing a robust tool for studying complex fractional systems in theoretical ecology. Full article
26 pages, 14479 KB  
Article
SpeQNet: Query-Enhanced Spectral Graph Filtering for Spatiotemporal Forecasting
by Zongyao Feng and Konstantin Markov
Appl. Sci. 2026, 16(3), 1176; https://doi.org/10.3390/app16031176 - 23 Jan 2026
Abstract
Accurate spatiotemporal forecasting underpins high-stakes decision making in smart urban systems, from traffic control and energy scheduling to environment monitoring. Yet two persistent gaps limit current models: (i) spatial modules are often biased toward low-pass smoothing and struggle to reconcile slow global trends [...] Read more.
Accurate spatiotemporal forecasting underpins high-stakes decision making in smart urban systems, from traffic control and energy scheduling to environment monitoring. Yet two persistent gaps limit current models: (i) spatial modules are often biased toward low-pass smoothing and struggle to reconcile slow global trends with sharp local dynamics; and (ii) the graph structure required for forecasting is frequently latent, while learned graphs can be unstable when built from temporally derived node features alone. We propose SpeQNet, a query-enhanced spectral graph filtering framework that jointly strengthens node representations and graph construction while enabling frequency-selective spatial reasoning. SpeQNet injects global spatial context into temporal embeddings via lightweight learnable spatiotemporal queries, learns a task-oriented adaptive adjacency matrix, and refines node features with an enhanced ChebNetII-based spectral filtering block equipped with channel-wise recalibration and nonlinear refinement. Across twelve real-world benchmarks spanning traffic, electricity, solar power, and weather, SpeQNet achieves state-of-the-art performance and delivers consistent gains on large-scale graphs. Beyond accuracy, SpeQNet is interpretable and robust: the learned spectral operators exhibit a consistent band-stop-like frequency shaping behavior, and performance remains stable across a wide range of Chebyshev polynomial orders. These results suggest that query-enhanced spatiotemporal representation learning and adaptive spectral filtering form a complementary and effective foundation for effective spatiotemporal forecasting. Full article
(This article belongs to the Special Issue Research and Applications of Artificial Neural Network)
27 pages, 3544 KB  
Article
Dynamic Estimation of Load-Side Virtual Inertia with High Power Density Support of EDLC Supercapacitors
by Adrián Criollo, Dario Benavides, Danny Ochoa-Correa, Paul Arévalo-Cordero, Luis I. Minchala-Avila and Daniel Jerez
Batteries 2026, 12(2), 42; https://doi.org/10.3390/batteries12020042 - 23 Jan 2026
Abstract
The increasing penetration of renewable energy has led to a decrease in system inertia, challenging grid stability and frequency regulation. This paper presents a dynamic estimation framework for load-side virtual inertia, supported with high-power-density electrical double-layer supercapacitors (EDLCs). By leveraging the fast response [...] Read more.
The increasing penetration of renewable energy has led to a decrease in system inertia, challenging grid stability and frequency regulation. This paper presents a dynamic estimation framework for load-side virtual inertia, supported with high-power-density electrical double-layer supercapacitors (EDLCs). By leveraging the fast response and high power density of EDLCs, the proposed method enables the real-time emulation of demand-side inertial behavior, enhancing frequency support capabilities. A hybrid estimation algorithm has been developed that combines demand forecasting and adaptive filtering to track virtual inertia parameters under varying load conditions. Simulation results, based on a 150 kVA distributed system with 27% renewable penetration and 33% demand variability, demonstrate the effectiveness of the approach in improving transient stability and mitigating frequency deviations within ±0.1 Hz. The integration of ESS-based support offers a scalable and energy-efficient solution for future smart grids, ensuring operational reliability under real-world variability. Full article
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17 pages, 3990 KB  
Article
Analysis of Fatigue Behavior of 66 kV Dry-Type Submarine Cable for a Flexible Pull-In Installation System
by Yun-Jae Kim and Sungwoong Choi
J. Mar. Sci. Eng. 2026, 14(3), 243; https://doi.org/10.3390/jmse14030243 - 23 Jan 2026
Abstract
Submarine power cables for offshore wind farms experience continuous cyclic loading from environmental forces and floating-platform motions, making fatigue performance a critical design factor. This study combined global and local analyses to investigate the fatigue behavior of a 66 kV dry-type submarine cable [...] Read more.
Submarine power cables for offshore wind farms experience continuous cyclic loading from environmental forces and floating-platform motions, making fatigue performance a critical design factor. This study combined global and local analyses to investigate the fatigue behavior of a 66 kV dry-type submarine cable installed using a flexible pull-in installation system. A global dynamic analysis using site-specific meteorological and oceanographic data provided time-series displacement responses that were used to evaluate the fatigue damage to the metallic components of the cable. The results indicated that the minimum fatigue life of 8.71 × 104 cycles occurred at the upper metallic sheath near the fixed end, with a corresponding cumulative damage of 1.147 × 10−5. Fatigue accumulation was predominantly governed by lateral (y-direction) displacement, while axial and vertical displacement components contributed minimally. Furthermore, the predicted fatigue life of the metallic sheath varied by a factor of up to 3.6 depending on the selected curve, comparing the cyclic stress amplitude and number of cycles to failure (S–N curve), highlighting the importance of accurate material fatigue data. These findings emphasize the need for careful evaluation of the environmental loading and sheath fatigue properties in flexible pull-in installation system-based submarine cable system designs. Full article
(This article belongs to the Section Ocean Engineering)
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23 pages, 710 KB  
Article
External Shocks, Fiscal Transmission Mechanisms, and Macroeconomic Volatility: Evidence from Ecuador
by Igor Ernesto Diaz-Kovalenko
Economies 2026, 14(2), 36; https://doi.org/10.3390/economies14020036 - 23 Jan 2026
Abstract
This paper investigates how external shocks propagate through fiscal transmission mechanisms in a commodity-dependent economy within a dynamic macroeconomic framework. The study contributes to the literature on macroeconomic fluctuations by examining the interaction between external revenue volatility, fiscal behavior, and institutional features in [...] Read more.
This paper investigates how external shocks propagate through fiscal transmission mechanisms in a commodity-dependent economy within a dynamic macroeconomic framework. The study contributes to the literature on macroeconomic fluctuations by examining the interaction between external revenue volatility, fiscal behavior, and institutional features in shaping short-run dynamics and medium-term outcomes. A Dynamic Stochastic General Equilibrium (DSGE) model is developed and calibrated to the Ecuadorian economy. The framework explicitly incorporates procyclical fiscal behavior, public capital accumulation, and endogenous spending efficiency, allowing for a structural analysis of fiscal transmission channels under external and productivity shocks. Counterfactual simulations are employed to assess the role of fiscal policy design and institutional constraints. The results show that while productivity shocks remain a key driver of output fluctuations, external revenue shocks significantly influence macroeconomic volatility through fiscal channels. Procyclical fiscal responses amplify fluctuations by reducing public investment and spending efficiency, slowing public capital accumulation and prolonging output contractions. Alternative fiscal configurations mitigate short-run volatility, although their effectiveness depends critically on institutional features governing spending efficiency. Overall, the analysis highlights that macroeconomic dynamics in resource-dependent economies are shaped not only by external shocks, but also by the interaction between fiscal policy design and institutional capacity. Integrating these elements into DSGE models provides a more comprehensive understanding of fiscal transmission mechanisms and macroeconomic volatility. Full article
(This article belongs to the Special Issue Dynamic Macroeconomics: Methods, Models and Analysis)
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22 pages, 2270 KB  
Article
Model Predictive Control for an SMA Actuator Based on an SGPI Model
by Wei Liu, Houzhen Wei, Yan Pang, Xudong Tang, Kai Wang and Wenya Zhou
Aerospace 2026, 13(2), 112; https://doi.org/10.3390/aerospace13020112 - 23 Jan 2026
Abstract
Shape memory alloy (SMA) actuators possess unique advantages for aerospace applications, including significant deformation, a high work-to-weight ratio, and structural simplicity. However, SMA actuators exhibit inherently strongly saturated and asymmetric hysteresis characteristics, which cause significant hysteresis in the output response. These hysteresis nonlinearities, [...] Read more.
Shape memory alloy (SMA) actuators possess unique advantages for aerospace applications, including significant deformation, a high work-to-weight ratio, and structural simplicity. However, SMA actuators exhibit inherently strongly saturated and asymmetric hysteresis characteristics, which cause significant hysteresis in the output response. These hysteresis nonlinearities, compounded by process and measurement noise, severely degrade control precision. To overcome these issues, this study proposes a Smoothed Generalized Prandtl–Ishlinskii (SGPI) model to characterize such hysteresis behavior. Based on the SGPI model, we developed a state-space representation for the SMA actuator. Furthermore, an Extended Kalman Filter (EKF) is employed to estimate unmeasurable internal hysteresis states, and these estimates are subsequently utilized as input states for Model Predictive Control (MPC). The simulation results demonstrate that the proposed EKF-MPC approach achieves both rapid dynamic response and high-precision tracking control, effectively compensating for hysteresis nonlinearity while rejecting noise disturbances. Full article
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25 pages, 11591 KB  
Article
Seismic Assessment of an Existing Precast Reinforced Concrete Industrial Hall Based on the Full-Scale Tests of Joints—A Case Study
by Biljana Mladenović, Andrija Zorić, Dragan Zlatkov, Danilo Ristic, Jelena Ristic, Katarina Slavković and Bojan Milošević
Vibration 2026, 9(1), 7; https://doi.org/10.3390/vibration9010007 (registering DOI) - 23 Jan 2026
Abstract
Construction of precast reinforced concrete (PRC) industrial halls in seismically active areas has been increasing in recent decades. As connections are one of the most sensitive and vulnerable zones of PRC structures, there is a need to pay special attention to their investigation [...] Read more.
Construction of precast reinforced concrete (PRC) industrial halls in seismically active areas has been increasing in recent decades. As connections are one of the most sensitive and vulnerable zones of PRC structures, there is a need to pay special attention to their investigation and modeling in seismic analysis. Knowing that each PRC system is specific and unique, this study aims to evaluate the actual seismic performances of PRC industrial halls built in the AMONT system, which represent a significant portion of the existing industrial building stock in Italy, the Balkans, and Turkey. As there is a lack of published research data on its specific joints, the results of the quasi-static full-scale experiments carried out up to failure on the models of four characteristic connections are presented. Since the implementation of nonlinear dynamic analysis in everyday engineering practice can be demanding, a simplified model of the structure considering the effects of the connections’ stiffness is proposed in this paper. The differences in the roof top displacements between the proposed model and the model with the rigid joints of the analyzed frames are in the range from 16.53% to 66.93%. The values of inter-story drift ratios are larger by 10–100% when the real stiffness of connections is considered, which is above the limit value provided by standard EN 1998-1. These results confirm the necessity of considering the nonlinear behavior and stiffness of connections in precast frame structures when determining displacements, which is particularly important for the verification of the serviceability limit state of structures in seismic regions. Full article
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16 pages, 24835 KB  
Article
Linking Microstructural Evolution to Magnetic Response for Damage Assessment in In-Service 321 Stainless Steel
by Shengzhong Hu, Yunrong Lyu, Weiming Li and Fuping Guo
Metals 2026, 16(2), 134; https://doi.org/10.3390/met16020134 - 23 Jan 2026
Abstract
This study evaluated the damage behavior of 321 austenitic stainless steel under tensile loading by measuring its magnetic properties. The results indicate that, at room temperature, the magnetic properties of 321 stainless steel respond distinctly to mechanical loading. Changes under external stress are [...] Read more.
This study evaluated the damage behavior of 321 austenitic stainless steel under tensile loading by measuring its magnetic properties. The results indicate that, at room temperature, the magnetic properties of 321 stainless steel respond distinctly to mechanical loading. Changes under external stress are primarily attributed to the phase transformation from austenite to martensite. Both coercive force and magnetic Barkhausen noise effectively characterize this material’s deformation and phase transformation processes: the coercive force dynamics curve exhibits an initial rise, followed by a decline with a decrease during the specimen’s necking stage. Magnetic Barkhausen noise is highly sensitive to stress changes, especially during the elastic stage. In situ measurements show that, at a stress of 300 MPa, the magnetic Barkhausen noise peak voltage signal reaches 0.060 V, which is a 100.0% increase compared to the original specimen (0.030 V). Therefore, when assessing the stress state and damage of stainless steel using coercive force and magnetic Barkhausen noise techniques, attention should be paid to the inflection characteristics of the coercive force dynamic curve and the inflection points in the peak values of the magnetic Barkhausen noise voltage signal. These features can be used to effectively monitor crack initiation and propagation in austenitic stainless steel. Full article
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13 pages, 3858 KB  
Article
Time Series Prediction of Open Quantum System Dynamics by Transformer Neural Networks
by Zhao-Wei Wang, Lian-Ao Wu and Zhao-Ming Wang
Entropy 2026, 28(2), 133; https://doi.org/10.3390/e28020133 - 23 Jan 2026
Abstract
The dynamics of open quantum systems play a crucial role in quantum information science. However, obtaining numerically exact solutions for the Lindblad master equation is often computationally expensive. Recently, machine learning techniques have gained considerable attention for simulating open quantum system dynamics. In [...] Read more.
The dynamics of open quantum systems play a crucial role in quantum information science. However, obtaining numerically exact solutions for the Lindblad master equation is often computationally expensive. Recently, machine learning techniques have gained considerable attention for simulating open quantum system dynamics. In this paper, we propose a deep learning model based on time series prediction (TSP) to forecast the dynamical evolution of open quantum systems. We employ the positive operator-valued measure (POVM) approach to convert the density matrix of the system into a probability distribution and construct a TSP model based on Transformer neural networks. This model effectively captures the historical evolution patterns of the system and accurately predicts its future behavior. Our results show that the model achieves high-fidelity predictions of the system’s evolution trajectory in both short- and long-term scenarios, and exhibits robust generalization under varying initial states and coupling strengths. Moreover, we successfully predicted the steady-state behavior of the system, further proving the practicality and scalability of the method. Full article
(This article belongs to the Special Issue Non-Markovian Open Quantum Systems)
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