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18 pages, 1632 KB  
Article
Research on Failure Mechanism of Rockbolt Under Different Tensile–Shear Combination Loadings
by Bo Jiang, Yubao Zhang, Tongbin Zhao, Minglu Xing and Kai Zhu
Appl. Sci. 2026, 16(10), 4959; https://doi.org/10.3390/app16104959 (registering DOI) - 15 May 2026
Abstract
This paper investigates the mechanical characteristics of rockbolt under combined tensile–shear loading conditions. By studying the stress and deformation throughout the elastic and plastic stages of rockbolt, a failure model for rockbolt under different tensile–shear combination loadings was established. Key parameters, including the [...] Read more.
This paper investigates the mechanical characteristics of rockbolt under combined tensile–shear loading conditions. By studying the stress and deformation throughout the elastic and plastic stages of rockbolt, a failure model for rockbolt under different tensile–shear combination loadings was established. Key parameters, including the maximum bending moment MA and total plastic deformation λ, were identified and quantified as they evolve with changes in the displacement angle (combined tensile–shear state). The main novelty lies in formulating the key control parameters governing the elastic–plastic transition and failure process of rockbolts under combined tensile–shear loading and further incorporating them into FLAC2D to improve the simulation of tensile–shear failure of rockbolts. Numerical simulations of rockbolts under combined tensile–shear loading were performed using FLAC2D. The influence of a rock mass’ Young’s modulus and uniaxial compressive strength on the mechanical response of the rockbolt was investigated. The results indicate that the ultimate load-carrying capacity of the rockbolt remains essentially constant as the displacement angle increases, while the axial tensile force gradually decreases and the shear force gradually increases. The influence of a rock mass’ Young’s modulus on the stress–strain characteristics of the anchor exhibits a nonlinear positive correlation. When the uniaxial compressive strength of the rock mass is low, the rockbolt is prone to slippage during loading. Full article
(This article belongs to the Section Civil Engineering)
18 pages, 1217 KB  
Article
Antagonistic Differential Game of Critical Infrastructure Migration Management to Post-Quantum Cryptography Under HNDL Conditions
by Feruza Malikova, Valery Lakhno, Zhuldyz Alimseitova, Myroslav Lakhno, Kuljan Togzhanova and Gulzhanat Beketova
Information 2026, 17(5), 485; https://doi.org/10.3390/info17050485 (registering DOI) - 15 May 2026
Abstract
Advances in quantum computing have created a serious threat to modern asymmetric cryptosystems protecting heterogeneous critical information infrastructures (CIIs). During this transition period, the primary threat is the “Harvest Now, Decrypt Later” (HNDL) temporal strategy of attackers, which requires the forced migration of [...] Read more.
Advances in quantum computing have created a serious threat to modern asymmetric cryptosystems protecting heterogeneous critical information infrastructures (CIIs). During this transition period, the primary threat is the “Harvest Now, Decrypt Later” (HNDL) temporal strategy of attackers, which requires the forced migration of CIIs to post-quantum cryptography (PQC) algorithms. However, such migration is associated with nonlinear “technological friction.” This will manifest as a drop in the performance of legacy systems, such as SCADA. In the context of deep cross-industry integration, this can trigger avalanche-like cascading CII failures. This article presents a model of a zero-sum differential game between a CII defender and an attacker (APT group). Using Pontryagin’s maximum principle and the Forward–Backward Sweep Method (FBSM) iterative algorithm, a saddle point was found that determines the equilibrium trajectories of limited resource allocation over a given planning horizon for the CII transition to PQC. The results of the computational experiment demonstrated that isolated sectoral migration is ineffective. It is shown that optimal control requires cross-sector synchronization to prevent cascading degradation of the CII. The proposed mathematical framework provides a practical toolkit for strategic IT budget planning and national security risk management in anticipation of quantum supremacy (Q-Day). Full article
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17 pages, 3598 KB  
Article
Reduction in Noise and Vibration in Ultra-High-Voltage Shunt Reactors Using Structural Optimization and Damping Techniques
by Ernar Amitov, Adilbek Tazhibayev, Dauirbek Ateyev, Meirzhan Koilybayev, Gulnur Nogaibekova, Yertugan Umbetkulov and Lyazzat Uteshkaliyeva
Appl. Sci. 2026, 16(10), 4929; https://doi.org/10.3390/app16104929 - 15 May 2026
Abstract
This paper presents an effective approach to reducing noise and vibration levels in ultra-high-voltage (UHV) shunt reactors based on structural optimization and damping techniques. The main sources of vibration are associated with magnetostriction of electrical steel and electromagnetic forces in the magnetic system, [...] Read more.
This paper presents an effective approach to reducing noise and vibration levels in ultra-high-voltage (UHV) shunt reactors based on structural optimization and damping techniques. The main sources of vibration are associated with magnetostriction of electrical steel and electromagnetic forces in the magnetic system, which induce structural excitation of the reactor tank. A combined numerical and experimental methodology is employed, including finite element modeling (FEM) of the reactor tank and field measurements of vibration displacement and acoustic noise. In contrast to previous studies focused primarily on material properties, this work emphasizes the role of structural modifications in controlling vibration transmission. The proposed solutions include the use of nitrile butadiene rubber (NBR) damping elements, optimization of the magnetic system geometry, and reinforcement of the tank structure using vertical and horizontal stiffeners. The FEM analysis in the frequency range of 50–150 Hz shows that the maximum displacement amplitude reaches 16.2 μm at the tank bottom and 10.5 μm at the tank walls. Experimental results confirm a reduction in vibration levels to 13 μm and a sound power level of 88 dBA, which meets regulatory requirements. The proposed approach improves the vibroacoustic performance and operational reliability of UHV reactors and can be effectively applied in the design of modern high-voltage power equipment. Full article
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23 pages, 1402 KB  
Article
A Deception-Based Access Control Mechanism for Protecting PLCs from ModbusTCP Brute-Force Attacks in IIoT Environments
by Mohammad AbdulJawad, Mohammad Z. Masoud, Álvaro Álesanco and José García
Future Internet 2026, 18(5), 259; https://doi.org/10.3390/fi18050259 - 14 May 2026
Abstract
Industrial control systems (ICSs) increasingly rely on legacy communication protocols such as ModbusTCP, which lack built-in security mechanisms and remain widely exposed to network-based attacks. This paper investigates the security limitations of authentication mechanisms in ModbusTCP-enabled programmable logic controllers (PLCs) and demonstrates how [...] Read more.
Industrial control systems (ICSs) increasingly rely on legacy communication protocols such as ModbusTCP, which lack built-in security mechanisms and remain widely exposed to network-based attacks. This paper investigates the security limitations of authentication mechanisms in ModbusTCP-enabled programmable logic controllers (PLCs) and demonstrates how plaintext credential transmission and limited connection handling capabilities can be exploited to perform brute-force and denial-of-service (DoS) attacks. An experimental testbed based on two industrial Delta PLC families (DVP-13SE and DVP-311SV3) was developed to systematically evaluate these vulnerabilities under realistic conditions. The results show that authentication credentials can be easily captured through network sniffing, while the PLC communication stack supports a maximum of 16 concurrent connections and can process up to approximately 8600 Modbus operations per second, making it susceptible to resource exhaustion and performance degradation under distributed attack scenarios. To address these limitations, this paper proposes a lightweight deception-based protection mechanism, termed the PLC misleading algorithm (PMA), which is implemented directly within the PLC ladder logic. Unlike traditional network-level defenses, PMA operates at the device level and dynamically misleads attackers by generating controlled randomized responses while preserving consistent behavior for legitimate clients. Experimental results demonstrate that PMA significantly mitigates brute-force effectiveness by preventing reliable password extraction while introducing minimal overhead (2.2% memory usage) and maintaining acceptable communication latency. Additionally, the proposed approach significantly reduces observable attack traffic, with only 0.246 Modbus operations per second observed during the attack phase, thereby limiting the effectiveness of automated exploitation tools. These findings highlight the potential of in-device deception mechanisms as a practical and deployable security layer for legacy industrial systems, and provide new insights into the resilience of PLC-based infrastructures against network-level attacks. This work bridges the gap between lightweight PLC-level protections and the growing need for robust cybersecurity mechanisms in industrial IoT environments. Full article
(This article belongs to the Special Issue Adversarial Attacks and Cyber Security)
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19 pages, 6444 KB  
Article
Hydro-Mechanical Performance and Microstructural Evolution of Biopolymer-Modified Granite Residual Soil
by Yiming Liu and Zhanxiang Wang
Appl. Sci. 2026, 16(10), 4916; https://doi.org/10.3390/app16104916 - 14 May 2026
Abstract
This study comparatively investigates the efficacy of two natural, plant- and microbe-derived polysaccharides—xanthan gum (XG) and guar gum (GG)—in enhancing the water stability and shear strength of granite residual soil (GRS). GRS specimens treated with varying dosages of XG and GG were cured [...] Read more.
This study comparatively investigates the efficacy of two natural, plant- and microbe-derived polysaccharides—xanthan gum (XG) and guar gum (GG)—in enhancing the water stability and shear strength of granite residual soil (GRS). GRS specimens treated with varying dosages of XG and GG were cured for 14 days and subsequently evaluated through direct shear and static-water disintegration tests. Concurrently, scanning electron microscopy (SEM) and low-field nuclear magnetic resonance (LF-NMR) were employed to elucidate the underlying microstructural and pore-scale mechanisms. Direct shear test results indicate that the peak shear strength reached 295.9 kPa (2.0% GG) and 221.0 kPa (1.5% XG), representing increases of 58.2% and 35.7%, respectively. Quantitatively, GG and XG treatments yielded maximum internal friction angle improvements of 52.96% and 39.37%, with peak cohesion increases of 55.27% and 35.7%, respectively. During static-water immersion, the untreated GRS suffered complete disintegration within 200 s. In contrast, the 2.0% GG- and XG-treated specimens preserved overall structural integrity for 24 h. SEM observations revealed that XG and GG reconstruct the soil fabric by forming encapsulating films and interparticle bridging structures. Finally, LF-NMR analysis provided definitive quantitative proof of a “pore refinement” effect, where biopolymer treatment shifted the primary T2 peaks from 4.64 ms to 3.51 ms. Notably, at a 2.0% dosage, dramatic NMR signal surges (up to 747.5 a.u. for XG and 704.3 a.u. for GG) revealed that excessive biopolymers tend to form localized ‘gel lumps’ rather than uniform films. These blobs weaken the biting force between soil particles, thereby accounting for the observed degradation in shear strength. Full article
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32 pages, 10355 KB  
Article
Development and Optimal Probe Selection of an In Situ Penetration and Shear Apparatus for the Lunar Surface
by Zihao Liu, Meng Zou, Yan Shen, Yuqi Zeng, Lutz Richter and Zhen Chen
Aerospace 2026, 13(5), 465; https://doi.org/10.3390/aerospace13050465 - 14 May 2026
Abstract
Precise in situ characterization of the mechanical properties of lunar regolith is critical for future lunar base construction and resource exploitation. However, existing detection methods predominantly rely on indirect inversion from rover wheel-soil interactions, which exhibit limitations in accuracy, real-time capability, and detection [...] Read more.
Precise in situ characterization of the mechanical properties of lunar regolith is critical for future lunar base construction and resource exploitation. However, existing detection methods predominantly rely on indirect inversion from rover wheel-soil interactions, which exhibit limitations in accuracy, real-time capability, and detection depth. Furthermore, specialized automated equipment capable of adapting to the complex lunar surface environment remains lacking. To address these challenges, this study presents the design and development of a novel autonomous in situ penetration-shear apparatus. The device automatically executes penetration and shear operations while recording real-time data, with a maximum penetration force of 25 N, shear torque of 2.5 N·m, penetration depth of 300 mm, and rotation angle of 360°. Given the maximum normal load constraint of 16 N imposed by the lunar rover platform, 24 probe configurations—varying in conicity, projected area, and vane number—were systematically evaluated using lunar soil simulants with three particle size distributions and two density levels. Multi-objective optimization was conducted to maximize detection efficiency, specifically penetration depth and shear torque, subject to a lightweight payload constraint (16 N). The multi-objective optimization reveals a fundamental trade-off: smaller conicity angles and projected areas favor deeper penetration, while larger projected areas enhance shear torque response. Under the 16 N constraint, the Pareto analysis identifies that a combination of moderate projected area, small conicity, and fewer vanes achieves the most balanced performance across all soil conditions. Results further demonstrate that increasing particle size and density substantially suppress both penetration capability and shear torque response, with compaction being the dominant factor limiting probe advancement under constrained normal loading. Results indicate that the optimal probe configuration comprises a 15° conicity, 324 mm2 projected area, and two vanes, achieving an average penetration depth of 51.61 mm and average shear torque of 0.06 N·m across all test conditions. This study validates a complete automated system for characterizing lunar soil mechanical properties and provides an efficient, reliable hardware solution for future unmanned lunar exploration missions through optimized probe design. These findings establish a solid technical foundation for deep, high-precision in situ investigation of lunar soil structure and mechanical parameters, with significant implications for lunar base site selection and In Situ Resource Utilization (ISRU). Full article
(This article belongs to the Section Astronautics & Space Science)
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26 pages, 3886 KB  
Article
Phase Transformation Characteristics of the Sn-Pb-Bi Ternary Alloy System Based on the DPMD Method
by Dexin Fan, Jiankang Huang, Chen Dong and Jiaojiao Xie
Metals 2026, 16(5), 532; https://doi.org/10.3390/met16050532 (registering DOI) - 14 May 2026
Abstract
The phase transformation characteristics of Sn-Pb-Bi ternary alloys with four representative Bi/Pb mass fraction ratios (0, 0.14, 0.33, and 0.60) were systematically investigated using the deep potential molecular dynamics (DeePMD) method over a temperature range of 300–600 K. A high-precision machine-learned interatomic potential [...] Read more.
The phase transformation characteristics of Sn-Pb-Bi ternary alloys with four representative Bi/Pb mass fraction ratios (0, 0.14, 0.33, and 0.60) were systematically investigated using the deep potential molecular dynamics (DeePMD) method over a temperature range of 300–600 K. A high-precision machine-learned interatomic potential was achieved using large-scale ab initio molecular dynamics (AIMD) datasets, reaching chemical accuracy (energy error <5 meV/atom, force error <100 meV/Å). Complete solid–liquid–solid heating–cooling cycle simulations were performed to accurately determine the melting temperature Tm, solidification temperature Ts, and undercooling ΔT. The microscopic mechanisms through which Bi regulates phase transitions were revealed through radial distribution function (RDF), mean square displacement (MSD), self-diffusion coefficient, and viscosity analyses. Our results show that increasing the Bi/Pb ratio monotonically lowers Tm from 475 K to 450 K, while ΔT reaches a maximum of ~48 K at Bi/Pb = 0.14. Bi addition disrupts short-range order, enhances chemical homogeneity, suppresses atomic diffusion, and optimizes liquid viscosity, with the optimal composition found to be Bi/Pb ≈ 0.14, balancing a low melting point, controlled undercooling, and improved flowability. This study provides an atomic-scale theoretical foundation for the precise composition design of low-melting-point Sn-Pb-Bi solders for photovoltaic and electronic packaging applications. Full article
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26 pages, 3185 KB  
Article
Stability Analysis of Coastal Slopes Based on a Semi-Diurnal Tidal Water Level Variation Model
by Jiahua Zhang, Yulong Wang, Yunjun Wei and Cheng Yao
Buildings 2026, 16(10), 1941; https://doi.org/10.3390/buildings16101941 - 13 May 2026
Viewed by 9
Abstract
To investigate the impacts of tidal level fluctuations on the groundwater dynamics and stability of coastal slopes, a numerical simulation framework was developed using the SEEP/W and SLOPE/W modules in GeoStudio. By combining saturated–unsaturated seepage mechanics with the finite element limit equilibrium method, [...] Read more.
To investigate the impacts of tidal level fluctuations on the groundwater dynamics and stability of coastal slopes, a numerical simulation framework was developed using the SEEP/W and SLOPE/W modules in GeoStudio. By combining saturated–unsaturated seepage mechanics with the finite element limit equilibrium method, the semi-diurnal tidal cycle was simulated to derive analytical solutions for the internal water-level distribution within the slope, and to assess the factor of safety as well as the geometry of the potential slip surface. By examining the evolutionary patterns of the phreatic surface and pore-water pressure inside the slope, this work elucidates the failure mechanisms of coastal slopes under tidal forcing. The findings demonstrate that tidal fluctuations induce periodic, hysteretic variations in the slope’s phreatic surface, which peaks at the conclusion of the rising tide (t = 0 h) and reaches its trough at the end of the falling tide (t = 6 h). Pore-water pressure alterations are predominantly localized in the near-surface region of the slope. The slope’s factor of safety exhibits pronounced oscillations in tandem with tidal levels, attaining a maximum at the end of the rising tide (t = 0 h) and a minimum at the end of the falling tide (t = 6 h), thus identifying the falling tide phase as the critical window for instability. Tidal changes exert a comparatively limited influence on the spatial positioning of the slip surface, underscoring the concealed and abrupt nature of tidal impacts on slope stability. Numerical simulation outcomes align closely with theoretical calculations, with small relative errors, which verifies the consistency and effectiveness of the simulation and theoretical calculations. Full article
22 pages, 3730 KB  
Article
Effect of Air Cooling on the Performance of Ternary Lithium Batteries Under Airborne Low-Pressure Conditions
by Jiang Huang, Haoran Zhang, Yunjia Deng, Chi Ouyang and Yuanhua He
Batteries 2026, 12(5), 168; https://doi.org/10.3390/batteries12050168 - 13 May 2026
Viewed by 126
Abstract
The low-pressure environment at aircraft cruising altitudes severely degrades lithium battery performance, yet the effectiveness and mechanisms of air-cooling thermal management under such conditions remain poorly understood. This study systematically investigates the coupled thermal, electrical, and material responses of NCM523/graphite ternary batteries under [...] Read more.
The low-pressure environment at aircraft cruising altitudes severely degrades lithium battery performance, yet the effectiveness and mechanisms of air-cooling thermal management under such conditions remain poorly understood. This study systematically investigates the coupled thermal, electrical, and material responses of NCM523/graphite ternary batteries under forced air-cooling at three pressures (96 kPa, 77 kPa, 58 kPa) and varying wind speeds (0–10 m/s) during 4C charge/6C discharge cycling. Air cooling reduces the maximum surface temperature by up to 14.2 °C and maintains the temperature difference below 5 °C, even at 58 kPa. An optimal wind speed of 6 m/s extends cycle life by 71% at 58 kPa (from 45 to 77 cycles), suppresses resistance growth, and preserves discharge capacity. Further increasing the wind speed paradoxically accelerates degradation. Post-mortem analyses reveal that appropriate air cooling mitigates cathode particle fragmentation, restores cation mixing (I003/I104 from 1.07 to 1.63 for 58 kPa), reduces transition metal dissolution, and suppresses solid electrolyte interface (SEI) thickening. This work establishes an optimum air velocity for low-pressure battery cooling and provides mechanistic insights into preserving electrode structural integrity, offering design guidelines for safe battery thermal management in electric aircraft. Full article
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29 pages, 15781 KB  
Article
Energy Harvesting Characteristics and Effects of Structural Parameters of a Near-Surface 2-DOF Oscillating Foil
by Lixian Wang, Longyao Wang, Wei Hua, Taotao Tao and Zhengzhi Deng
J. Mar. Sci. Eng. 2026, 14(10), 895; https://doi.org/10.3390/jmse14100895 (registering DOI) - 12 May 2026
Viewed by 156
Abstract
In this study, the energy harvesting mechanism of a two-degree-of-freedom (2-DOF) oscillating foil under near-surface conditions and the underlying influence of structural parameters are systematically investigated. Numerical simulations are conducted using the open-source CFD platform OpenFOAM and the waves2Foam toolbox. The free surface [...] Read more.
In this study, the energy harvesting mechanism of a two-degree-of-freedom (2-DOF) oscillating foil under near-surface conditions and the underlying influence of structural parameters are systematically investigated. Numerical simulations are conducted using the open-source CFD platform OpenFOAM and the waves2Foam toolbox. The free surface is captured using the volume of fluid (VOF) method, while the heave and pitch motions of the foil are simulated via the overWaveDyMFoam solver, coupling 6-DOF dynamic equations with the overset grid technique. The results demonstrate that the periodic evolution and shedding of the leading-edge vortex (LEV) fundamentally drive the self-sustained oscillation of the foil. Moreover, the phase synchronization between the fluid-induced force and the kinematic response serves as the core mechanism for efficient energy extraction. Structural parameters critically regulate these characteristics: stiffness coefficients dictate the natural frequency and phase coordination, thereby modulating the overall motion response. Notably, a local resonance occurs when the system’s natural frequency approaches the fluid’s vortex shedding frequency, inducing the maximum kinematic response. Within the investigated parameter space, the system achieves a peak energy harvesting efficiency of 45.6% and a maximum average power coefficient of 1.15. Finally, the damping coefficients are found to primarily govern the response amplitude and the viscous dissipation of the system. Full article
(This article belongs to the Section Marine Energy)
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21 pages, 9472 KB  
Article
Adsorption Behavior and Mechanism of Rhodamine B on a Polyvinyl Alcohol/Carboxymethyl Chitosan Hydrogel: Integrated Experimental and Computational Study
by Shi Yi, Qingyun Li, Xinrui Zhu, Shuxin Li, Ting Hu, Xinyi Huang, Jiazheng Luo, Hongbo Xiao, Yihui Zhou, Bo Wang, Rongkui Su and Xiping Lei
Molecules 2026, 31(10), 1619; https://doi.org/10.3390/molecules31101619 - 11 May 2026
Viewed by 317
Abstract
In this study, a polyvinyl alcohol/carboxymethyl chitosan (PVA/CCTS) hydrogel was synthesized via free radical polymerization and employed for the adsorption of Rhodamine B (RhB) from aqueous solution. The hydrogel was systematically characterized by FTIR, SEM, XPS, and BET analyses, confirming its interconnected porous [...] Read more.
In this study, a polyvinyl alcohol/carboxymethyl chitosan (PVA/CCTS) hydrogel was synthesized via free radical polymerization and employed for the adsorption of Rhodamine B (RhB) from aqueous solution. The hydrogel was systematically characterized by FTIR, SEM, XPS, and BET analyses, confirming its interconnected porous network and functional group composition. Under optimized conditions (adsorbent dosage = 0.1 g, pH = 6, RhB concentration = 65 mg·L−1, and T = 298.15 ± 2 K), the maximum adsorption capacity reached 15.88 mg·g−1. Kinetic analysis showed that the pseudo-second-order model best described the adsorption behavior under optimal conditions, indicating that the uptake of RhB is governed by multiple interaction mechanisms rather than simple physisorption alone. The equilibrium data were best fitted by the Freundlich isotherm (R2 = 0.976), indicating surface heterogeneity of the hydrogel. Thermodynamic evaluation revealed an endothermic (ΔH = 28.38 ± 4.40 kJ·mol−1), with adsorption efficiency improving at elevated temperatures. The hydrogel retained appreciable adsorption capacity after three adsorption–desorption cycles (5.78 mg·g−1 at the third cycle). Density functional theory (DFT) calculations identified -COOH and -NH2 groups as the primary active sites, and molecular electrostatic potential analysis confirmed that electrostatic interactions between the negatively charged hydrogel surface and cationic RhB drive the initial adsorption. Molecular dynamics (MD) simulations over 100 ns further demonstrated that van der Waals forces constitute the dominant driving force, supplemented by electrostatic interactions and hydrogen bonding, with the hydrogel’s cross-linked network stabilizing adsorbed RhB molecules. The integrated experimental computational approach provides a comprehensive mechanistic understanding of RhB adsorption on PVA/CCTS hydrogel, offering guidance for the rational design of polysaccharide-based adsorbents for dye-contaminated wastewater treatment. Full article
(This article belongs to the Special Issue Advanced Technologies for Water Pollution Control)
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22 pages, 7778 KB  
Article
MTPA Control Strategy for Brushless DC Motors Based on Zero-Sequence Current Injection
by Tianpeng Zheng, Zhongming Xiong, Zhihao Yuan and Zhenguo Li
Machines 2026, 14(5), 536; https://doi.org/10.3390/machines14050536 (registering DOI) - 11 May 2026
Viewed by 87
Abstract
Under ideal trapezoidal back electromotive force (EMF) conditions, a brushless direct current (BLDC) motor can produce constant instantaneous electromagnetic torque when supplied with ideal three-phase square-wave currents. However, this operating mode may result in relatively high copper loss. In practical applications, where both [...] Read more.
Under ideal trapezoidal back electromotive force (EMF) conditions, a brushless direct current (BLDC) motor can produce constant instantaneous electromagnetic torque when supplied with ideal three-phase square-wave currents. However, this operating mode may result in relatively high copper loss. In practical applications, where both the back-EMF and the current waveforms deviate from their ideal shapes, significant torque ripple is introduced. To address these issues, this paper proposes a maximum torque per ampere (MTPA) control strategy for BLDC motors based on zero-sequence current injection. An improved Park (3s–3r) is employed to develop the mathematical model, in which the synthesized non-zero-sequence components are mapped exclusively onto the q-axis. By properly regulating the d-axis and 0-axis reference currents, the proposed strategy achieves minimum copper loss operation. Based on this framework, a torque control system incorporating zero-sequence current injection is established to further enhance performance. The feasibility and effectiveness of the proposed control strategy are validated through digital signal processing (DSP)-based experimental results. Full article
(This article belongs to the Section Electrical Machines and Drives)
28 pages, 3238 KB  
Article
Numerical Simulation of Water Table Dynamics Under Tidal Influence for Construction Planning in a Coastal Urban Area of Mazatlán, México
by David Beltrán-Vargas, Fernando García-Páez, Manuel Martínez-Morales and Cuauhtémoc Franco-Ochoa
Appl. Sci. 2026, 16(10), 4760; https://doi.org/10.3390/app16104760 - 11 May 2026
Viewed by 99
Abstract
Coastal construction projects often require excavation below the water table, where tidal variability and urban infrastructure generate complex groundwater conditions. This study presents a numerical simulation of water table dynamics in a coastal urban area of Mazatlán, México, influenced by tidal forcing, a [...] Read more.
Coastal construction projects often require excavation below the water table, where tidal variability and urban infrastructure generate complex groundwater conditions. This study presents a numerical simulation of water table dynamics in a coastal urban area of Mazatlán, México, influenced by tidal forcing, a lake, and an impermeable seawall. Six critical scenarios were modeled using MODFLOW 6 and ModelMuse interface, covering the period from November 2023 to April 2024. The scenarios correspond to astronomical tide events during the new moon phase, when maximum and minimum tide levels occurred within 24 h. These conditions are related to the highest piezometric levels observed in field. Model calibration was based on 18 field observations collected at 09:00, 12:00, and 15:00 across the selected dates. Model outputs closely matched the field observations, with a root mean square error (RMSE) of 0.056 m, and a mean absolute error (MAE) of 0.049 m. Although the differences are minimal, they reflect short-term variability and limited fluctuation during calibration. However, the full monitoring period showed groundwater levels ranging from −0.10 to 0.53 m above mean sea level (masl), emphasizing the importance of understanding short-term dynamics. This modeling approach supports construction planning, helping to anticipate risks and promote better and informed construction practices. Full article
21 pages, 16678 KB  
Article
Three-Dimensional Numerical Simulation of Slope Stability Under Multiple Loading Conditions for the North Bank Anchorage of the Yellow River Three Gorges Rotating-Cable Suspension Bridge
by Yu Zhu, Zhengziyan Li, Dejun Gao and Yong Liu
Appl. Sci. 2026, 16(10), 4752; https://doi.org/10.3390/app16104752 - 11 May 2026
Viewed by 149
Abstract
To investigate the slope stability of the north bank anchorage of the Yellow River Three Gorges Bridge during foundation pit excavation and operational stages, a true three-dimensional geological model was established using Rhino6 and numerical simulations were performed using FLAC3D7.0, supplemented by stereographic [...] Read more.
To investigate the slope stability of the north bank anchorage of the Yellow River Three Gorges Bridge during foundation pit excavation and operational stages, a true three-dimensional geological model was established using Rhino6 and numerical simulations were performed using FLAC3D7.0, supplemented by stereographic projection kinematic analysis and the shear strength reduction (SSR) method. Systematic simulations were conducted for foundation pit excavation, main cable load application, heavy rainfall, and two seismic loading conditions, and the deformation characteristics and plastic zone evolution patterns of the slope under different conditions were analyzed. The stereographic projection kinematic analysis indicates that the dominant discontinuity sets do not constitute kinematically admissible planar sliding, wedge sliding, or toppling failure modes, confirming the validity of adopting a continuum model. The numerical simulation results show that the maximum slope displacement after foundation pit excavation is 13.13 mm, with the plastic zone exhibiting a discontinuous scattered distribution, and the slope is overall stable. After the application of the main cable load, the maximum displacement decreases to 7.86 mm; the counterweight effect of the anchorage self-weight significantly improves the deep stability, while the horizontal cable force generates a wedge-shaped shear plastic zone at the slope toe. Under heavy rainfall conditions, rock mass saturation leads to an increase in the maximum displacement to 11.76 mm with expanded plastic zone volume, where the deterioration of strength parameters and the increase in pore water pressure are the primary causes of reduced stability. Under seismic conditions, the maximum displacements under the natural and artificial seismic waves are 15.83 mm and 17.29 mm, respectively, exhibiting a significant elevation amplification effect with extensive plastic zone development in the shallow surface layer. The shear strength reduction analysis yields factors of safety of 2.4 and 2.27 for the heavy rainfall and seismic conditions, respectively, both significantly exceeding the code requirements, demonstrating that the slope possesses an adequate safety margin under extreme loading conditions. Full article
(This article belongs to the Topic Remote Sensing and Geological Disasters)
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28 pages, 5194 KB  
Article
A Full-Scale Thermo-Hydro-Mechanical Coupled Numerical Model for Wellbore Injection Operations
by Quanbin Wang, Deli Jia, Jun Fu, Chuan Yu, Mujie Luo and Xiuyuan Chen
Processes 2026, 14(10), 1540; https://doi.org/10.3390/pr14101540 - 10 May 2026
Viewed by 129
Abstract
Injection operations are critical in subsurface energy engineering, where wellbores endure complex thermo-hydro-mechanical (THM) coupling under high-temperature and high-pressure conditions, impacting tubing string stability and wellbore long-term safety. Current tubing string THM research relies on simplified assumptions, focusing on single/dual-field coupling without full-scale [...] Read more.
Injection operations are critical in subsurface energy engineering, where wellbores endure complex thermo-hydro-mechanical (THM) coupling under high-temperature and high-pressure conditions, impacting tubing string stability and wellbore long-term safety. Current tubing string THM research relies on simplified assumptions, focusing on single/dual-field coupling without full-scale modeling, failing to accurately characterize comprehensive multi-field behaviors or actual structural stress distributions. This paper presents a full-scale THM coupled numerical model for actual injection conditions, taking real wellbore structures as the object to realize unified modeling of tubing, packer, casing, cement sheath and formation, covering the entire well section and synergistically describing fluid flow, heat conduction and structural mechanical response. It considers fluid pressure/temperature effects on tubing axial load, thermal stress and deformation, as well as nonlinear boundary conditions like packer-casing contact and friction. The governing equations are discretized via the finite element method and solved by Newton iteration. Benchmark verification shows the maximum relative errors of casing inner/outer wall Mises stress vs. analytical solutions are 2.43% and 4.98%, confirming high accuracy. Systematic analysis of displacement, axial force, stress and temperature responses under typical conditions is conducted, providing reliable theoretical and technical support for wellbore structure optimization, injection parameter regulation and long-term wellbore integrity evaluation. Full article
(This article belongs to the Section Petroleum and Low-Carbon Energy Process Engineering)
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