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Search Results (2,770)

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Keywords = finite element modelling (FEM)

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22 pages, 2505 KB  
Article
Multi-Physics Study of Hairpin Winding Cooling Systems in Less-Rare-Earth Permanent Magnet Traction Motors
by Ali Zarghani, Peter Sergeant and Mohamed N. Ibrahim
Machines 2026, 14(7), 776; https://doi.org/10.3390/machines14070776 - 10 Jul 2026
Abstract
Hairpin windings are increasingly adopted in permanent magnet (PM) traction machines owing to their high slot fill factor, compact end-winding structure, and suitability for automated manufacturing. However, limited heat dissipation and high copper losses under peak loading and high-frequency operation result in severe [...] Read more.
Hairpin windings are increasingly adopted in permanent magnet (PM) traction machines owing to their high slot fill factor, compact end-winding structure, and suitability for automated manufacturing. However, limited heat dissipation and high copper losses under peak loading and high-frequency operation result in severe thermal constraints, which restrict the power rating of the machine. This paper presents a multi-physics comparison of different winding cooling topologies for a PM machine with hairpin winding, including hollow conductor cooling, end-winding cooling, and cooling channel insertion at slot-bottom, slot-middle, and slot-opening regions. A coupled electromagnetic–thermal model based on the finite element method (FEM), which accounts the heat transfer between different components, is used to analyze temperature distribution, losses, efficiency, loading capacity, and hydraulic requirements. The results show that the position of the cooling channel has great influence on the thermal behavior and electromagnetic performance of the machine under different working conditions. The study emphasizes the strong coupling between cooling design, conductor geometry, AC loss behavior, and efficiency and provides practical design guidelines for selecting appropriate cooling techniques in high-power-density traction machines. Consequently, an improved cooling system results in a reduced amount of PM for the same output power range. Full article
(This article belongs to the Special Issue Wound Field and Less Rare-Earth Electrical Machines in Renewables)
13 pages, 2329 KB  
Article
Research on the Mechanism of Different Resilient Wheel Structures Affecting Noise
by Yu Cao and Jianhui Tian
Appl. Sci. 2026, 16(14), 6872; https://doi.org/10.3390/app16146872 - 9 Jul 2026
Viewed by 118
Abstract
In response to the vibration and noise issues of metro vehicles, this article uses a resilient wheel. The finite element method (FEM) and the boundary element method (BEM) were employed to establish the vehicle-track coupled rolling contact model and the acoustic boundary element [...] Read more.
In response to the vibration and noise issues of metro vehicles, this article uses a resilient wheel. The finite element method (FEM) and the boundary element method (BEM) were employed to establish the vehicle-track coupled rolling contact model and the acoustic boundary element model. The reliability of the acoustic boundary element model was verified by comparing simulation results with field measurement data. The effects of different structures on wheel-rail forces and noise were investigated. Compared with a standard wheel, the resilient wheel significantly reduces vibration and noise. The influence of rubber with or without clearances on resilient wheel vibration and noise was further analyzed. Results show that in the 2000–5000 Hz frequency band, the resilient wheel reduces wheel noise by 6–10 dB(A), rail noise by approximately 5 dB(A), and total wheel-rail rolling noise by 5–8 dB(A). The physical mechanisms underlying the vibration and noise reduction performance of the resilient wheel are elucidated, and high-frequency operating noise is examined. Full article
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21 pages, 4073 KB  
Article
Temperature Effect on Residual Magnetic Field of Atomic Gyroscope Magnetic Shielding System: A High-Precision Modeling Method
by Yitao Chen, Junzhong Li, Shengxin Lin, Yicheng Deng, Tianshun Wang and Donghua Pan
Sensors 2026, 26(14), 4330; https://doi.org/10.3390/s26144330 - 8 Jul 2026
Viewed by 208
Abstract
The residual magnetic field of the magnetic shielding system is a key factor limiting the bias stability of high-precision atomic gyroscopes. Due to the temperature dependence of hysteresis in soft magnetic materials, variations in ambient temperature can cause drift in the residual magnetic [...] Read more.
The residual magnetic field of the magnetic shielding system is a key factor limiting the bias stability of high-precision atomic gyroscopes. Due to the temperature dependence of hysteresis in soft magnetic materials, variations in ambient temperature can cause drift in the residual magnetic field inside the shielding cavity, thereby introducing measurement errors. Existing studies mostly rely on time-consuming finite element methods (FEM), which struggle to efficiently characterize the temperature–magnetic coupling effect. To address this issue, this paper develops a theoretical model for a fast solution. First, a static magnetic field analytical model for the multilayer cylindrical magnetic shielding system is established. Second, nonlinear magnetization theory is introduced to correct the calculation errors caused by the nonlinear variation in material permeability under weak fields. On this basis, an improved Jiles-Atherton (J-A) model incorporating a temperature correction factor is constructed to accurately characterize the magnetic field distribution inside the shielding system at different temperatures. The results demonstrate that the proposed analytical model can independently and rapidly predict the residual magnetic field distribution at different temperatures, without requiring any calibration or fitting based on FEM simulations. After accounting for hysteresis nonlinearity, the deviation of the shielding factor at the center point between the analytical model and FEM simulations is approximately 5%. The static residual magnetic field at the center point exhibits a negative correlation with temperature variation. Within the actual operating temperature range of the atomic gyroscope from −40 °C to 60 °C, the measured results agree with the model predictions regarding the temperature-dependent trend of the radial residual magnetic field. The relative deviation of the radial residual magnetic field ranges from 2.78% to 7.69%, and that of the axial residual magnetic field ranges from 7.94% to 14.47%, thereby verifying the accuracy of the theoretical model. This model effectively predicts the residual magnetic field drift law of the magnetic shielding system under varying temperature conditions and can provide theoretical support for the analysis and active compensation of thermally induced magnetic errors in atomic gyroscopes. Full article
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28 pages, 2192 KB  
Article
Optimization of the Location of Piezoelectric Patches Bonded on a Rotor Shaft Surface Using an Iterative Optimization Framework
by Maryam Brahem and Mnaouar Chouchane
Actuators 2026, 15(7), 382; https://doi.org/10.3390/act15070382 - 7 Jul 2026
Viewed by 105
Abstract
This paper presents an optimization-based framework for active vibration control of rotor bearing systems using external surface-bonded piezoelectric patches. The rotor bearing system is modelled using the Finite Element Method (FEM), enabling the coupling between the shaft and the flexible piezoelectric actuators. A [...] Read more.
This paper presents an optimization-based framework for active vibration control of rotor bearing systems using external surface-bonded piezoelectric patches. The rotor bearing system is modelled using the Finite Element Method (FEM), enabling the coupling between the shaft and the flexible piezoelectric actuators. A Linear Quadratic Regulator (LQR) is adopted to achieve optimal feedback control considering the balance between vibration reduction and control effort. The central contribution of this work is a comprehensive actuator placement optimization of the axial and angular position of the piezoelectric patches along the shaft. Firstly, axial positions are selected by maximizing a multimodal weighted Modal Strain Energy (MSE) criterion over a selected number of bending modes. In the second stage, which constitutes the main novelty of this work, the angular position of each pair of bonded piezoelectric patches is optimized. Each piezoelectric pair generates control moments at each extremity of the patch. The influence of the angular separation between independent piezoelectric pairs bonded at different axial locations is investigated through an iterative optimization framework. The optimized actuator placements are subsequently employed within an LQR-based active vibration control framework. The parameters of the controller are selected using a Genetic Algorithm (GA). Numerical simulations are performed on a bi-disk flexible rotor bearing system. The results of the numerical simulations demonstrate that the combined axial-circumferential optimization significantly enhances the controllability of the rotor system and improves the multimodal vibration suppression capability, achieving an improvement of approximately 93%. The proposed methodology offers a physically meaningful and computationally efficient framework, guaranteeing symmetric and effective vibration control. Full article
(This article belongs to the Special Issue Vibration Control Based on Intelligent Actuators and Sensors)
35 pages, 9080 KB  
Article
Assessment of the Forces Developed During Orthodontic Treatment Using the Finite Element Method
by Maria Manuela Nardin, Mihaela-Roxana Brătoiu, Cristina Teodora Preoteasa, Diana-Elena Vlăduțu, Dragoș Laurențiu Popa, Alexandra Elena Done, Anne Marie Rauten, Felicia Ileana Mărășescu, Luminița Dăguci and Veronica Mercuț
Dent. J. 2026, 14(7), 406; https://doi.org/10.3390/dj14070406 (registering DOI) - 4 Jul 2026
Viewed by 144
Abstract
Background/Objectives: This “in silico” study investigated the biomechanical behavior of fixed orthodontic systems by analyzing the forces generated by Ni–Ti archwires and their effects on the dento-maxillary system (DMS). The objectives were to estimate force levels for 0.012″, 0.014″, and 0.016″ archwires and [...] Read more.
Background/Objectives: This “in silico” study investigated the biomechanical behavior of fixed orthodontic systems by analyzing the forces generated by Ni–Ti archwires and their effects on the dento-maxillary system (DMS). The objectives were to estimate force levels for 0.012″, 0.014″, and 0.016″ archwires and to evaluate the resulting stress distribution, displacement and deformation, including the influence of dental malpositions such as infraposition and linguoposition on force transmission. Methods: A three-dimensional (3D) patient-specific model of the DMS was developed and finite element analysis (FEM) was performed. Orthodontic forces were determined analytically based on archwire deformation and applied as equivalent force systems at the bracket level. The analysis was performed under simplified assumptions, including linear elastic material behavior and the absence of bracket–archwire friction. Results: The results indicated a direct relationship between archwire diameter and force magnitude. Increased diameter was associated with higher stress, displacement and deformation values. Simulated infraposition and linguoposition produced localized variations in stress distribution, highlighting the influence of tooth position on biomechanical response. Conclusions: Within the limitations of the simplified analytical and numerical model, archwire diameter plays a significant role in determining force magnitude and stress distribution in orthodontic systems. The findings provide a comparative framework for understanding force transmission, although the results should be interpreted as theoretical estimates under idealized conditions rather than direct predictors of clinical behavior. Full article
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23 pages, 7875 KB  
Article
High-Sensitivity Room-Temperature Power Sensor Based on a Graphene Oxide–PDMS Bilayer and Surface Plasmon Resonance Suitable for the Detection of IR-THz Radiation
by Giancarlo Margheri and Tommaso del Rosso
Sensors 2026, 26(13), 4263; https://doi.org/10.3390/s26134263 - 4 Jul 2026
Viewed by 291
Abstract
The accurate detection and quantification of electromagnetic radiation in the infrared (IR) and terahertz (THz) regions are critical for modern applications, yet they remain challenging due to the “THz gap” and the limitations of current room-temperature technologies. This paper proposes a novel uncooled [...] Read more.
The accurate detection and quantification of electromagnetic radiation in the infrared (IR) and terahertz (THz) regions are critical for modern applications, yet they remain challenging due to the “THz gap” and the limitations of current room-temperature technologies. This paper proposes a novel uncooled IR–THz power sensor based on a hybrid graphene oxide (GO) and polydimethylsiloxane (PDMS) bilayer integrated into a surface plasmon resonance (SPR) architecture in the Kretschmann configuration. The device exploits the broadband optical absorption of GO to efficiently convert incident radiation into heat, while the high thermo-optic coefficient of the PDMS layer translates these thermal variations into measurable refractive index shifts. Finite Element Method (FEM) modeling was employed to optimize the sensor design, predicting a linear angular shift of 0.093 deg/mW. Experimental results confirm the theoretical expectations, demonstrating a high sensitivity of 0.083 deg/mW and an exceptionally low limit of detection and resolution on the order of 15 nW. By eliminating the need for cryogenic cooling or vacuum packaging, this platform offers a compact, low-cost, and high-performance solution for next-generation IR–THz metrology. Full article
(This article belongs to the Special Issue Nanotechnology Applications in Sensors Development: 2nd Edition)
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26 pages, 8779 KB  
Article
Load-Path Redistribution and Damage Asymmetry in Reinforced Concrete Beams Under Eccentric Drop-Weight Impact: A Coupled SPH-FEM Study
by Ziqi Gao, Chi Lu, Yoshimi Sonoda and Hiroki Tamai
Appl. Sci. 2026, 16(13), 6700; https://doi.org/10.3390/app16136700 - 4 Jul 2026
Viewed by 129
Abstract
Reinforced concrete (RC) beams under impact are commonly assessed using central-impact configurations, but practical impacts may deviate from midspan and create unequal shear spans. This study investigates how impact eccentricity changes force transfer and damage development using a validated coupled smoothed particle hydrodynamics–finite [...] Read more.
Reinforced concrete (RC) beams under impact are commonly assessed using central-impact configurations, but practical impacts may deviate from midspan and create unequal shear spans. This study investigates how impact eccentricity changes force transfer and damage development using a validated coupled smoothed particle hydrodynamics–finite element method (SPH-FEM) model. Concrete is modeled with SPH particles, while reinforcement, supports, and the impactor are modeled with FEM solid elements. After validation against central drop-weight tests, full-span eccentric-impact cases are compared with matched short-span references. The first contact-force peak changes only slightly with eccentricity, whereas the later response distribution changes more substantially. At the largest eccentricity, shorter-span shear reaches up to 2.23 times the central-impact value, showing shear-dominated redistribution. Absorbed energy per unit length also localizes on the shorter-span side and reaches up to 4.29 times the longer-span side value. Matched references show that full-span eccentric beams can develop up to 18.4kN higher local shear than symmetric short-span beams. Damage fields shift from symmetric central damage to asymmetric shorter-span-side damage with clearer fragmentation in low-strength cases. For off-midspan accidental-load assessment, the central-impact force level should be considered together with side-specific shear demand, the shorter-span shear-transfer path, and asymmetric damage. Full article
(This article belongs to the Section Civil Engineering)
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18 pages, 25463 KB  
Article
Deep Drawing of Additively Manufactured Composite Architected Discs: Effect of Infill Geometry and Feature Size on Formability
by Luca Giorleo and Elisabetta Ceretti
Appl. Sci. 2026, 16(13), 6665; https://doi.org/10.3390/app16136665 - 3 Jul 2026
Viewed by 116
Abstract
Additively manufactured composite architected discs offer a potential route for producing lightweight semi-finished blanks that can subsequently be shaped by conventional forming processes. However, the relationship between infill architecture, feature size, and deep-drawing formability remains poorly understood. This study investigates the deep-drawing response [...] Read more.
Additively manufactured composite architected discs offer a potential route for producing lightweight semi-finished blanks that can subsequently be shaped by conventional forming processes. However, the relationship between infill architecture, feature size, and deep-drawing formability remains poorly understood. This study investigates the deep-drawing response of material-extruded short-fibre-reinforced polymer composite discs by combining experimental tests and finite element simulations. Four infill strategies, namely perforated body, re-entrant, square and triangular, were first compared at drawing depths of 10 and 20 mm. The perforated body and re-entrant geometries were successfully formed at 10 mm, whereas only the perforated body withstood 20 mm without macroscopic failure. A second campaign focused on perforated discs with hole diameters of 2.5, 5, 7.5 and 10 mm. All configurations were drawable at 10 mm, while the 2.5 mm case failed at 20 mm. Statistical analysis confirmed that hole diameter significantly affected both retained cup height and side-hole aspect ratio. At 20 mm, larger holes reduced local ovalization but increased elastic recovery, leading to lower retained cup height. FEM simulations were used as an interpretative first-order model. They supported the experimental trends by comparing deformation modes, tensile/compressive stress redistribution, forming energy and strain localization. The results show that the formability of architected composite blanks is governed not only by material volume or porosity but by the ability of the internal architecture to accommodate deformation through a suitable balance between local stiffness and geometric compliance. These findings provide design-oriented guidelines for the development of additively manufactured architected blanks intended for hybrid additive–forming manufacturing routes. Full article
(This article belongs to the Special Issue Additive Manufacturing of Fiber Composite Structures)
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30 pages, 29143 KB  
Article
A Hybrid CNN–LSTM Framework for Vibration-Based Multi-Damage Assessment in Reinforced Concrete Bridges
by Nneka Emmanuella Nnamani, Jose C. Matos, Seyedmilad Komarizadehasl, Nga T. T. Nguyen and Son N. Dang
Appl. Sci. 2026, 16(13), 6659; https://doi.org/10.3390/app16136659 - 3 Jul 2026
Viewed by 179
Abstract
Structural health monitoring (SHM) is essential for assessing the safety and serviceability of bridge structures. Identifying progressive and concurrent damage remains challenging due to the complex and continuous nature of structural deterioration. This study proposes a hybrid one-dimensional convolutional neural network and long [...] Read more.
Structural health monitoring (SHM) is essential for assessing the safety and serviceability of bridge structures. Identifying progressive and concurrent damage remains challenging due to the complex and continuous nature of structural deterioration. This study proposes a hybrid one-dimensional convolutional neural network and long short-term memory (1D-CNN–LSTM) framework for vibration-based damage localisation and severity estimation in reinforced concrete bridges. Operational modal analysis is applied to field-measured vibration data from an in-service bridge. A finite element model is updated using particle swarm optimisation, reducing frequency discrepancies from 7–17% to within ±3%. Progressive single-, double-, and triple-element damage scenarios are simulated through systematic stiffness degradation. The resulting modal frequency data are used to train 1D-CNN–LSTM models using Pareto front optimisation. The proposed framework achieves coefficients of determination above 0.80 with low prediction errors (MSE and MAE < 2) for single- and double-element damage scenarios. The results support the use of the proposed framework for screening-level assessment of bridge damage under controlled simulated conditions. Full article
(This article belongs to the Section Civil Engineering)
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10 pages, 2767 KB  
Proceeding Paper
Integration of XFEM and XIGA for Stress Concentration Analysis of Holes and Cracks in Isotropic and Functionally Graded Plates
by Huu-Dien Nguyen
Eng. Proc. 2026, 145(1), 4; https://doi.org/10.3390/engproc2026145004 - 2 Jul 2026
Viewed by 117
Abstract
In recent decades, numerical methods have become indispensable tools for solving complex problems in science and engineering. Among these, the finite element method (FEM) is widely recognized as a powerful computational approach. However, traditional FEM has significant limitations when modeling discontinuities such as [...] Read more.
In recent decades, numerical methods have become indispensable tools for solving complex problems in science and engineering. Among these, the finite element method (FEM) is widely recognized as a powerful computational approach. However, traditional FEM has significant limitations when modeling discontinuities such as cracks, holes, or material interfaces, particularly in functionally graded materials (FGMs). To address these challenges, this study proposes an advanced framework that integrates the Extended Finite Element Method (XFEM) with Isogeometric Analysis (XIGA), referred to as XFEM–XIGA, to simulate stress concentration factors (SCFs) around circular holes in both isotropic and FGM plates. The proposed methodology employs the level-set method to represent discontinuous boundaries and incorporates appropriate enrichment functions into the displacement field, allowing accurate modeling of stress concentrations without the need for remeshing. MATLAB codes were developed to implement this integration, providing a flexible computational platform for practical engineering applications. The performance of the proposed XFEM–XIGA approach was evaluated using several benchmark problems, including isotropic plates with circular holes near material boundaries and FGMs subjected to uniaxial tensile loading. The results obtained from the XFEM–XIGA model were compared with analytical solutions, standard FEM results, and available experimental data. For isotropic plates, the XFEM–XIGA model achieved a stress concentration error of 1.71%. For FGM plates with cracks or circular holes, the error was 2.55% compared with exact solutions. These findings demonstrate the robustness and accuracy of the integrated method in handling complex geometries and heterogeneous material properties. Overall, this study shows that the combination of XFEM and XIGA offers an efficient and reliable tool for analyzing stress concentration factors in FGM structures. The proposed approach provides improved modeling capabilities for industrial components where stress concentrations at material boundaries are critical to structural integrity and performance. Full article
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21 pages, 9204 KB  
Article
Finite Element Modeling of Ceramic Green Part Warping Induced by Shrinkage During the Stereolithography Printing Process
by Dylan Vallet, Philippe Michaud, Yaasin Mayi, Wen Zhang and Vincent Pateloup
Ceramics 2026, 9(7), 68; https://doi.org/10.3390/ceramics9070068 - 2 Jul 2026
Viewed by 214
Abstract
The shrinkage strain, occurring upon UV curing and aging, leads to non-uniform dimensional changes that can compromise the part’s final geometry. This study investigates the deformation of green parts during the stereolithography process. Based on experimental measurements, a finite element model (FEM) is [...] Read more.
The shrinkage strain, occurring upon UV curing and aging, leads to non-uniform dimensional changes that can compromise the part’s final geometry. This study investigates the deformation of green parts during the stereolithography process. Based on experimental measurements, a finite element model (FEM) is developed to account for different phenomena contributing to the structural distortion of the part, like polymerization shrinkage and the adhesion between the part and the build platform during printing. In addition, the time dependency of the degree of conversion is also considered to integrate the aging of green parts, and elastoplastic material behavior is also considered to include non-reversible deformations. This novel model makes it possible to predict stress generation during the stereolithography process and simulate part warping over time. The resulting simulations provided a numerical validation for part shapes observed experimentally, as well as insights to better understand the deformation mechanisms and optimize the dimensional fidelity of stereolithography-manufactured components. Full article
(This article belongs to the Special Issue Advances in Ceramics, 3rd Edition)
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24 pages, 2628 KB  
Article
UAV and UFB Detection Capability of an L-Band Long-Range Air Surveillance Radar: Geometric and RCS Constraints for LSS Targets
by András Braun and Norbert Hegyi
Sensors 2026, 26(13), 4180; https://doi.org/10.3390/s26134180 - 2 Jul 2026
Viewed by 273
Abstract
The spread of unmanned aerial vehicles (UAVs) and unmanned free balloons (UFBs) has made ground-based air surveillance more difficult, especially for low, slow, and small (LSS) targets. Such targets often combine low radar cross-section (RCS), low altitude, small radial velocity, and strong coupling [...] Read more.
The spread of unmanned aerial vehicles (UAVs) and unmanned free balloons (UFBs) has made ground-based air surveillance more difficult, especially for low, slow, and small (LSS) targets. Such targets often combine low radar cross-section (RCS), low altitude, small radial velocity, and strong coupling to ground clutter. This study provides a focused assessment of the detection constraints expected for a RAT-31DL-type long-range L-band surveillance radar against small UAVs and radiosonde-type light UFB payloads. The work combines simplified RCS estimates, literature-based UAV RCS data, finite element method (FEM) simulation, radar-horizon geometry, elevation-beam intersection analysis, and low-Doppler considerations. Idealized broadside reference RCS values are calculated at 1.5 GHz. Published 26–40 GHz UAV RCS data are used as comparison references and are back-scaled to the L-band to illustrate frequency-scaling uncertainty. A simplified FEM model of a trademark Meteomodem M20 radiosonde is simulated at 1.5 GHz and at 26 GHz for comparison, to examine aspect- and polarization-dependent scattering. The simulated radiosonde cross-polarized RCS values vary from approximately −36.49 to −23.45 dBsm at 1.5 GHz. For a 30 m radar installation and 60–140 m target altitudes, the smooth-Earth horizon-limited visibility range is approximately 55–71 km. Low-altitude coverage can be further limited by positive-elevation beam geometry. Taken together, the results indicate that LSS detectability is strongly scenario-dependent and is governed by RCS variability, geometric visibility, clutter, Doppler behavior, and radar-specific processing choices. Full article
(This article belongs to the Section Radar Sensors)
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22 pages, 55849 KB  
Article
Optimization and Validation of Alfalfa Vibration Root-Cutting Shovel Using Coupled FEM-SPH Method
by Shuo Wang, Zihe Xu, Miao He, Xuanting Liu, Qingmin Pan and Yunhai Ma
Agriculture 2026, 16(13), 1441; https://doi.org/10.3390/agriculture16131441 - 1 Jul 2026
Viewed by 244
Abstract
Perennial alfalfa roots form a composite with the soil, contributing to intensified grassland degradation and reduced yields. Soil-loosening and root-cutting tools are effective in disrupting root–soil composites and reducing soil compaction. However, loosening and root-cutting operations commonly face challenges, such as high tillage [...] Read more.
Perennial alfalfa roots form a composite with the soil, contributing to intensified grassland degradation and reduced yields. Soil-loosening and root-cutting tools are effective in disrupting root–soil composites and reducing soil compaction. However, loosening and root-cutting operations commonly face challenges, such as high tillage resistance and disturbance. This study developed a simulation model of the alfalfa root–soil composite based on the coupled Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH) method when considering the biomechanical properties of roots. The validity of the model was verified using direct shear and cutting tests. The errors in both simulation and test results were less than 8%. Additionally, a vibration root-cutting shovel was designed. The factors of tillage speed, vibration frequency, amplitude, and direction were analyzed for their impact on tillage resistance and root shear displacement. Results indicated that the incorporation of vibration enhanced soil breaking and reduced root-cutting displacement. The optimal combination of parameters determined using the Response Surface Method (RSM) for minimizing tillage resistance and shear displacement were a tillage speed of 0.86 m·s−1, vibration amplitude of 3.79 mm, vibration frequency of 45.05 Hz, and vibration parallel to the tillage direction. Field tests confirmed the effectiveness of the vibratory root-cutting shovel. The addition of vibration parallel to the tillage direction can reduce tillage resistance by 16.68% and penetration resistance by 26.80%. This study provides a methodology for modeling root–soil composite and improving the root-cutting shovel for grassland degradation restoration. Full article
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20 pages, 6546 KB  
Article
A Method for Rapidly Predicting Force-Induced Deformation During the Peripheral Milling of Curved Thin-Walled Parts
by Fangqian Wu, Xueping Song, Lin Yuan, Shanglei Jiang and Yuwen Sun
Modelling 2026, 7(4), 133; https://doi.org/10.3390/modelling7040133 - 1 Jul 2026
Viewed by 197
Abstract
Due to the low stiffness characteristics, thin-walled parts are prone to force-induced deformation during the peripheral milling process, which severely restricts machining accuracy and efficiency. In existing studies, for curved thin-walled parts, the Finite Element Method (FEM) is usually adopted for deformation prediction. [...] Read more.
Due to the low stiffness characteristics, thin-walled parts are prone to force-induced deformation during the peripheral milling process, which severely restricts machining accuracy and efficiency. In existing studies, for curved thin-walled parts, the Finite Element Method (FEM) is usually adopted for deformation prediction. However, the traditional FEM usually requires a considerable amount of computing time, owing to the high model complexity and batch parameter evaluations. Therefore, this study proposes a method of constructing a surrogate model based on a small amount of FEM simulation data. Firstly, a peripheral milling cutting force model is established to obtain the instantaneous milling force. Secondly, a finite element model considering the material removal effect is constructed, and an iterative solution strategy is introduced to calculate the force-induced deformation. Finally, an Enhanced Latin Hypercube Sampling (ELHS) method is used to generate training samples, and the Elliptic Basis Function Neural Network (EBFNN) is selected as the surrogate model to establish a nonlinear mapping relationship between machining parameter combinations and force-induced deformation. This method enables rapid prediction of deformation at any machining position on curved thin-walled parts, reducing the computation time from hours to seconds while maintaining prediction accuracy. Full article
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16 pages, 12893 KB  
Article
Detailed High-Frequency Modeling and Experimental FRA Validation of a Multi-Section Transformer Winding
by Rukiye B.Aymaz, Yunus Berat Demirol, İbrahim Gürsu Tekdemir and Bora Alboyaci
Energies 2026, 19(13), 3091; https://doi.org/10.3390/en19133091 - 30 Jun 2026
Viewed by 167
Abstract
The increasing integration of renewable energy sources, high-voltage direct current (HVDC) and power-electronics-based equipment has intensified the exposure of transformer windings to high-frequency voltage components, steep-front transients and high-dv/dt stresses, highlighting the need for detailed high-frequency winding models. This study presents a high-frequency [...] Read more.
The increasing integration of renewable energy sources, high-voltage direct current (HVDC) and power-electronics-based equipment has intensified the exposure of transformer windings to high-frequency voltage components, steep-front transients and high-dv/dt stresses, highlighting the need for detailed high-frequency winding models. This study presents a high-frequency model of a six-section winding assembly corresponding to one phase of a 10 kV/0.41 kV, Dyn11, 2500 kVA distribution transformer. The winding assembly was experimentally investigated under coreless conditions using frequency response analysis (FRA) measurements over the frequency range of 20 Hz–2 MHz. Frequency-dependent resistance R(f) parameters were extracted from finite element method (FEM)-based electromagnetic field analyses, while the self- and mutual inductance matrix and the capacitance parameters were obtained from electromagnetic and electrostatic field solutions, respectively. The resulting segmented resistance–inductance–mutual inductance–capacitance (R-L-M-C) equivalent circuit model was solved in the frequency domain using Modified Nodal Analysis (MNA). Before the FRA-based validation, the low-frequency consistency of the model was checked at 50.431 Hz, where the calculated and measured magnitudes differed by only 0.1074 dB. Over the common frequency range, the model achieved a root mean square error (RMSE) of 3.09 dB and a mean absolute error (MAE) of 1.76 dB. The results show that the proposed field-extracted model can represent the overall FRA trend, the dominant attenuation region and the main resonance/anti-resonance characteristics of the winding assembly, although deviations remain around sharp resonance points. Full article
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