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34 pages, 101766 KB  
Article
Design of a Granular Media-Adaptable Bionic-Inspired Reconfigurable Foot Based on EDEM–Adams Coupling Simulation
by Zilei Ji, Feiyang Han, Yudong Xie, Jiazhen Han, Yong Wang and Yingying Zhang
Actuators 2026, 15(6), 330; https://doi.org/10.3390/act15060330 - 11 Jun 2026
Viewed by 163
Abstract
The foot structure plays a decisive role in the trafficability of legged robots on granular media. Traditional foot-ends (spherical, cylindrical, flat-bottomed) are prone to sinkage and slippage, resulting in unstable locomotion. To solve this problem, a novel bionic-inspired reconfigurable foot with active opening [...] Read more.
The foot structure plays a decisive role in the trafficability of legged robots on granular media. Traditional foot-ends (spherical, cylindrical, flat-bottomed) are prone to sinkage and slippage, resulting in unstable locomotion. To solve this problem, a novel bionic-inspired reconfigurable foot with active opening and closing adjustment capability is designed based on bionics, combining the stable phalangeal contour of goat hoof capsules and the high-adhesion feature of beetle foot-end spines. A coupled EDEM–Adams simulation model is established, and physical experiments combined with simulation inversion are used to calibrate contact parameters between particles and between particles and the foot, including the coefficient of restitution, static friction and rolling friction. A high-fidelity numerical platform for foot–ground dynamic interaction is thus constructed. By comparing and analyzing the differences in anti-sinkage and traction performance between the bionic-inspired foot and traditional foot-ends, this study systematically revealed the influence law of bionic morphology on the mechanical behavior of the foot, and clarified the intrinsic mechanism through which bionic design improves foot–ground interaction. The results demonstrate that the spine structures of the bionic-inspired foot reshape the mechanical constitutive relationship of granular media. By expanding the ground contact area and optimizing contact pressure distribution, the maximum reduction in foot sinkage depth reaches 70.11%, and the traction coefficient is increased by up to 37.13%. Full article
(This article belongs to the Special Issue Cutting-Edge Advancements in Robotics and Control Systems)
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33 pages, 29808 KB  
Article
Simulation Assessment of the Impact of a Partially Operational Vehicle Lighting System on Driving Safety
by Sławomir Kowalski
Appl. Sci. 2026, 16(10), 5074; https://doi.org/10.3390/app16105074 - 19 May 2026
Viewed by 261
Abstract
This article presents an analysis of the consequences of a road accident caused by a failure to notice an oncoming vehicle, caused by the left headlamp malfunction. Research was conducted using computer simulation enabling the reproduction of vehicle dynamics under night-time conditions, heavy [...] Read more.
This article presents an analysis of the consequences of a road accident caused by a failure to notice an oncoming vehicle, caused by the left headlamp malfunction. Research was conducted using computer simulation enabling the reproduction of vehicle dynamics under night-time conditions, heavy snowfall and reduced pavement adhesion (αp = 0.20; αs = 0.15). An overtaking manoeuvre was performed in three speed scenarios of the overtaking vehicle: 60, 70 and 80 km/h. In the first phase of the collision (the overtaking vehicle–the oncoming vehicle), a consistent increase in deformation depth was observed with increasing speed, from 342 mm and 469 mm (60 km/h) to 400 mm and 518 mm (80 km/h). The corresponding equivalent energy speed (EES) reached maximum values of 57.4 km/h and 70.5 km/h, respectively. Contact was strongly inelastic in nature (the coefficient of restitution 0.06–0.07), and the transferred impulse initiated intensive rotational motion. The second phase of the collision involved secondary contact between the overtaken vehicle and the overtaking vehicle. Collision severity was directly dependent on residual energy after the first impact. In the 80 km/h scenario, the deformation depth in this phase reached 146 mm, with EES of approximately 10–11 km/h. The analysis demonstrated that the energy not dissipated during the first stage determined the course of the subsequent contact and resulted in a complete loss of directional stability of all vehicles, ultimately leading to a departure from the roadway. Full article
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33 pages, 7581 KB  
Article
Calibration of Discrete Element Parameters for Cassava Seed Stems Using the Tavares Model and GA-BP-GA Method
by Lintao Chen, Zeyu Chen, Xiangwei Mou, Ying Lan, Yucan Huang, Xu Ma and Xiangwu Deng
Agriculture 2026, 16(10), 1101; https://doi.org/10.3390/agriculture16101101 - 16 May 2026
Viewed by 437
Abstract
Accurate discrete element method (DEM) simulations are essential for elucidating the precision seeding mechanisms and collision damage characteristics of cassava seed stem (CSS); however, such simulations are often limited by a lack of precise contact parameters. In this study, “Guire No. 7” CSS [...] Read more.
Accurate discrete element method (DEM) simulations are essential for elucidating the precision seeding mechanisms and collision damage characteristics of cassava seed stem (CSS); however, such simulations are often limited by a lack of precise contact parameters. In this study, “Guire No. 7” CSS was selected as the research object to calibrate discrete element (DE) parameters by integrating physical experiments with DEM simulations. A stem model was constructed in EDEM software (Altair EDEM 2022) using three-dimensional scanning technology combined with SolidWorks 2024 modeling functions to investigate the influence of the model’s mesh face count on simulation accuracy. Physical experiments measured the average repose angle (RA) of the stems (30.28° ± 1.09°), along with parameters including the restitution coefficient for stem-stem and stem-steel plate collisions, and the coefficient of static friction between the stem and steel plate. The Plackett-Burman Design experiment was employed to screen parameters affecting the RA, and the steepest ascent experiment was conducted to determine their optimal value ranges. Using the RA as the response value, a Central Composite Design experiment combined with machine learning regression models was applied to optimize the influencing parameters and compare model performance. The results indicated that the GA-BP algorithm exhibited superior predictive capability compared to Support Vector Regression (SVR) and the BP neural network. Through optimization using a genetic algorithm (GA), the calibrated parameters were obtained: a stem-steel plate static friction coefficient (SFC) of 0.488, a stem-stem SFC of 0.489, and a stem-stem rolling friction coefficient of 0.131. The resulting simulated RA was 30.73°, yielding a relative error of 1.49% compared to the physically measured value. The GA-BP-GA method demonstrated better optimization performance than the central composite design experiment, thereby validating the accuracy of the calibrated contact parameters between stems. Furthermore, parameters for the Tavares model were calibrated through physical experiments on CSS, using collision damage force and collision damage energy (CDE) as validation indicators. The results showed that the relative errors for both collision damage force and CDE were less than 3%, which is within the acceptable error range, thereby confirming the validity of the calibrated DE parameters for the cassava seed stem. Full article
(This article belongs to the Section Agricultural Technology)
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18 pages, 4957 KB  
Article
Calibration of DEM Contact Parameters for High-Moisture Rabbit Manure Using the Hertz–Mindlin with a JKR Model and a Three-Stage Optimization Strategy
by Zhihang Cui, Min Zhou, Xun Suo and Zichen Yang
Agriculture 2026, 16(8), 891; https://doi.org/10.3390/agriculture16080891 - 17 Apr 2026
Viewed by 395
Abstract
Rabbit manure with high-moisture content exhibits complex adhesive and flow behaviors, which make accurate parameterization in discrete element method (DEM) simulations difficult. To improve the reliability of DEM modeling for rabbit manure composting processes, this study calibrated the contact parameters of rabbit manure [...] Read more.
Rabbit manure with high-moisture content exhibits complex adhesive and flow behaviors, which make accurate parameterization in discrete element method (DEM) simulations difficult. To improve the reliability of DEM modeling for rabbit manure composting processes, this study calibrated the contact parameters of rabbit manure at 65% moisture content using the angle of repose as the target response. A physical angle of repose test was first conducted using the cylindrical lifting method, yielding a measured value of 38.77°. The Hertz–Mindlin with Johnson–Kendall–Roberts (JKR) contact model was then adopted to represent the adhesive behavior of the material, and a three-stage optimization strategy consisting of a Plackett–Burman screening test, a steepest ascent test, and a Box–Behnken design was applied to identify and optimize the key parameters. The results showed that the particle restitution coefficient, rabbit manure–PLA rolling friction coefficient, and surface energy were the dominant factors affecting the angle of repose. The optimal parameter combination was a particle restitution coefficient of 0.56, a rabbit manure–PLA rolling friction coefficient of 0.375, and a surface energy of 0.243 J/m2. Under these conditions, the simulated angle of repose was 39.21°, with a relative error of 1.13%. These calibrated parameters provide a reliable basis for DEM simulation and engineering optimization of rabbit manure composting equipment. Full article
(This article belongs to the Section Agricultural Technology)
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52 pages, 1369 KB  
Review
Dynamic Properties in a Collisional Model for Confined Granular Fluids: A Review
by Ricardo Brito, Rodrigo Soto and Vicente Garzó
Entropy 2026, 28(4), 454; https://doi.org/10.3390/e28040454 - 15 Apr 2026
Viewed by 490
Abstract
Granular systems confined in a shallow box and subjected to vertical vibration provide an attractive geometry for studying fluidized granular media. In this configuration, grains acquire kinetic energy in the vertical direction through collisions with the confining walls, and this energy is subsequently [...] Read more.
Granular systems confined in a shallow box and subjected to vertical vibration provide an attractive geometry for studying fluidized granular media. In this configuration, grains acquire kinetic energy in the vertical direction through collisions with the confining walls, and this energy is subsequently transferred to the horizontal degrees of freedom via interparticle collisions. In recent years, the so-called Δ-model has been introduced as a simplified yet effective description of the dynamics of granular systems in such geometries. This review presents the results obtained from kinetic theory for the granular Δ-model. To model the energy transfer mechanism, a fixed velocity increment Δ is added to the normal component of the relative velocity during collisions. In this way, the vertical motion is effectively integrated out while retaining the collisional energy injection characteristic of the confined setup. This mechanism compensates for the energy loss due to inelastic collisions and leads to stable homogeneous steady states that can be analyzed within the framework of kinetic theory. The Enskog kinetic equation is formulated for this model and first analyzed in homogeneous steady states, yielding the stationary temperature and the equation of state. The dynamics of inhomogeneous states is then investigated using the Chapman–Enskog method, from which the Navier–Stokes transport coefficients are derived. The theory is further extended to granular mixtures, in which particles may differ in mass, size, restitution coefficient, or in the value of Δ. In this case, the phenomenology becomes richer; for example, energy equipartition is violated even in homogeneous steady states. The mixture dynamics is studied through the corresponding Navier–Stokes equations, and the associated transport coefficients are obtained in the low-density regime. The analysis of the hydrodynamic equations shows that, in agreement with simulations, the homogeneous state is linearly stable. Moreover, the intrinsically nonequilibrium nature of the model leads to the violation of Onsager reciprocity relations in granular mixtures. The theoretical predictions exhibit in general good agreement with both molecular dynamics simulations and direct simulation Monte Carlo results. Full article
(This article belongs to the Special Issue Review Papers for Entropy, Second Edition)
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16 pages, 1696 KB  
Article
Stochastic Dynamics of Nonlinear Piezoelectric Vibration Energy Harvesting System with Inelastic Impact
by Li Liu, Lili Tian, Meng Su and Hongge Yue
Entropy 2026, 28(4), 400; https://doi.org/10.3390/e28040400 - 1 Apr 2026
Viewed by 429
Abstract
Because the introduction of a vibro-impact structure can widen the bandwidth and improve the harvesting efficiency of the vibration energy harvesting (VEH) systems, an analytical method for a VEH system based on vibro-impact is proposed to employ the stochastic response and stability. Firstly, [...] Read more.
Because the introduction of a vibro-impact structure can widen the bandwidth and improve the harvesting efficiency of the vibration energy harvesting (VEH) systems, an analytical method for a VEH system based on vibro-impact is proposed to employ the stochastic response and stability. Firstly, the piezoelectric control equation is decoupled by the generalized harmonic transformation, which obtains an uncoupled equivalent system. Secondly, the Itô stochastic differential equation with amplitude is analytically derived by applying the proposed analytical method. Furthermore, the influence of crucial parameters on the mean square voltage (MSV) and the mean output power is explored, such as the coupling factors and restitution coefficient. Finally, the top Lyapunov exponent (TLE) can be derived based on the linearized averaged Itô equations and the condition for the stability with probability one is obtained. It turned out that restitution coefficient r and time constant ratio μ have remarkable effects on the system’s stability. Full article
(This article belongs to the Section Complexity)
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17 pages, 1490 KB  
Article
3D Reconstruction and Discrete Element Modeling of Wheat Kernels for Numerical Simulation of Grain-Storage Behavior
by Ziqing Zhang, Qirui Wang, Chao Zhao, Kaixu Bai, Qikeng Xu, Peifang Xin, Chunqi Bai and Hao Zhang
Appl. Sci. 2026, 16(6), 2915; https://doi.org/10.3390/app16062915 - 18 Mar 2026
Viewed by 490
Abstract
The physical structure formed during the packing of granular grain constitutes a fundamental ecological factor within the grain bulk ecosystem. Accurate simulations of grain-packing behavior help to deepen our understanding of this ecosystem. In this study, a white hard wheat was selected as [...] Read more.
The physical structure formed during the packing of granular grain constitutes a fundamental ecological factor within the grain bulk ecosystem. Accurate simulations of grain-packing behavior help to deepen our understanding of this ecosystem. In this study, a white hard wheat was selected as the test material, and a high-fidelity multi-sphere discrete element model of wheat kernels was constructed using three-dimensional laser scanning. Physical experiments were conducted to determine the basic physical properties of the kernels, including true density and bulk density. Using the angle of repose as the calibration parameter, the wheat-packing process was investigated with the discrete element method (DEM). The results indicated that the coefficients of static and rolling friction between particles were highly significant factors governing the angle of repose. The optimal parameter combination consisted of a particle–particle coefficient of restitution of 0.500, a coefficient of static friction of 0.388, and a coefficient of rolling friction of 0.054. The mean angle of repose obtained from the DEM packing simulation was 28.46°, corresponding to a relative error of 3.16% compared with the physical experiment. This calibrated parameter set is therefore considered accurate and reliable, and it provides baseline data for DEM simulations of wheat grain bulks. Full article
(This article belongs to the Special Issue Sustainable and Smart Agriculture)
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20 pages, 5867 KB  
Article
Experimental Investigation of Impact Configuration on the Coefficients of Restitution of Elliptical Blocks in Rockfalls
by Pavlos Asteriou
Appl. Sci. 2026, 16(6), 2896; https://doi.org/10.3390/app16062896 - 17 Mar 2026
Viewed by 345
Abstract
The influence of impact configuration and block shape on rockfall rebound behavior has been highlighted in numerous experimental studies. To further investigate these effects, an experimental campaign was conducted using rigid elliptical-disk blocks, allowing the simultaneous examination of block geometry and impact configuration [...] Read more.
The influence of impact configuration and block shape on rockfall rebound behavior has been highlighted in numerous experimental studies. To further investigate these effects, an experimental campaign was conducted using rigid elliptical-disk blocks, allowing the simultaneous examination of block geometry and impact configuration under controlled conditions. The experimental setup was inspired by existing analytical approaches that employ elliptical geometries to describe rebound mechanics and to provide a more detailed interpretation of the parameters governing impact response. The results show that coefficients of restitution exhibit substantial scatter and do not display systematic trends with respect to the geometric aspect ratio of the elliptical disks (a/b ≈ 1.25–2.0), within the testing range of this experiment. Instead, rebound behavior is primarily controlled by impact configuration, as described by the orientation of the major axis and the impact angle. The following two distinct impact types were identified: instantaneous and rolling, associated with different responses. The experimental data were further used to assess existing analytical models, revealing limited quantitative agreement due to the idealized assumptions in their formulation. Overall, the study demonstrates that rebound response in rockfall processes is strongly configuration-dependent, emphasizing the need for modeling approaches that explicitly account for impact configuration and contact geometry. Full article
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22 pages, 3975 KB  
Article
Calibration of V2 Discrete Element Model Parameters for Simulation of Atlantic Potato Slicing and Sorting
by Hui Geng, Jingming Hu, Quan Feng, Wei Sun, Mei Yang, Haohua Wang, Weihao Qiao and Pan Wang
Agriculture 2026, 16(4), 489; https://doi.org/10.3390/agriculture16040489 - 22 Feb 2026
Viewed by 596
Abstract
To address the lack of contact and breakage parameters in the discrete element method (DEM) simulation of potato seed cutting and sorting processes, this study took the ‘Atlantic’ potato seed as the research object and constructed a crushable potato model using EDEM. Through [...] Read more.
To address the lack of contact and breakage parameters in the discrete element method (DEM) simulation of potato seed cutting and sorting processes, this study took the ‘Atlantic’ potato seed as the research object and constructed a crushable potato model using EDEM. Through physical experiments, the mean average diameter, moisture content, density, Poisson’s ratio, and elastic modulus were measured. The coefficients of collision restitution, static friction, and rolling friction between the potato seed and the Q235 steel plate were determined as 0.576, 0.559, and 0.073, respectively. Using the actual repose angle of 22.89° as the response target, and combining the steepest ascent test with the Box–Behnken design, the non-cohesive contact parameters between potato seed particles were calibrated. The resulting coefficients of collision restitution, static friction, and rolling friction between particles were determined as 0.404, 0.412, and 0.0156, respectively. Finally, based on physical shear tests (maximum shear force 23.56 N), significant influencing factors were identified through Plackett–Burman screening as the bonding radius ratio r and the normal stiffness per unit area Kn. Using the steepest ascent test and the Box–Behnken response surface method, the key bonding parameters of the Bonding V2 model were calibrated as follows: r = 1.098, Kn = 8.597 × 107 N·mm−3, tangential stiffness per unit area Kt = 3.250 × 106 N·mm−3, critical compressive stress σn = 5.500 × 105 Pa, and shear strength τt = 3.000 × 104 Pa. The relative error between the simulated and actual maximum shear forces was 0.89%, which is small. The calibrated flexible model accurately represents the physical characteristics of potato seeds and provides a reliable reference for the design of mechanized potato seed cutting and sorting equipment. Full article
(This article belongs to the Section Agricultural Technology)
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23 pages, 15950 KB  
Article
Comparative Analysis of Large-Scale Testing and Three-Dimensional Rockfall Modeling in Assessment of Tabulated Coefficients of Restitution
by Grant Goertzen, Kinley Seabaugh and Nick Hudyma
Appl. Sci. 2026, 16(4), 1775; https://doi.org/10.3390/app16041775 - 11 Feb 2026
Viewed by 487
Abstract
Rockfall hazard assessment and mitigation design relies heavily on three-dimensional trajectory modeling, in which the coefficient of restitution (COR) is a governing parameter controlling rebound, energy dissipation, and runout distance. In practice, COR values are commonly selected from generalized tables based on slope [...] Read more.
Rockfall hazard assessment and mitigation design relies heavily on three-dimensional trajectory modeling, in which the coefficient of restitution (COR) is a governing parameter controlling rebound, energy dissipation, and runout distance. In practice, COR values are commonly selected from generalized tables based on slope material type, introducing significant epistemic uncertainty and limiting predictive accuracy. This study presents a comparative evaluation of large-scale field rockfall experiments and 3-D numerical simulations conducted at a former aggregate quarry in Boise, Idaho, to assess the performance of tabulated restitution coefficients. Concrete blocks of controlled shape (spheres, cubes, and rectangular prisms) and mass (17–68 kg) were instrumented with inertial sensors and released from two slope configurations. High-resolution UAV-based LiDAR was used to reconstruct slope geometry, while dynamic cone penetrometer and friction tests were performed to characterize spatial variability in slope material stiffness. These data were incorporated into RocFall3 to simulate block trajectories using spatially varying COR values. Initial models assuming zero rotational velocity and tabulated COR ranges failed to reproduce observed runout distances, dispersion patterns, and modes of motion, particularly for non-spherical blocks. Incorporating field-measured initial rotational velocities significantly improved agreement between modeled and observed trajectories, by correcting the unrealistic sliding mode of motion previously observed. However, quantitative discrepancies in deposition and dispersion persisted, highlighting limitations associated with simplified slope geometry and the loss of small-scale surface features during LiDAR surface reconstruction. The results demonstrate that restitution behavior is strongly shape-dependent and that realistic initial conditions are essential for physically meaningful simulations. The findings underscore the need for site-specific, material-informed approaches to COR estimation and for improved integration of high-fidelity field data into physics-based rockfall models. Full article
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23 pages, 2829 KB  
Article
Calibration and Experimental Determination of Parameters for the Discrete Element Model of Shells
by Tong Wang, Xin Du, Shufa Chen, Qixin Sun, Yue Jiang and Hengjie Dong
Appl. Mech. 2026, 7(1), 6; https://doi.org/10.3390/applmech7010006 - 14 Jan 2026
Viewed by 740
Abstract
This study conducts systematic experimental and numerical investigations to address the parameter calibration issue in the discrete element model of seashells, aiming to establish a high-fidelity numerical model that accurately characterizes their macroscopic mechanical behavior, thereby providing a basis for optimizing parameters of [...] Read more.
This study conducts systematic experimental and numerical investigations to address the parameter calibration issue in the discrete element model of seashells, aiming to establish a high-fidelity numerical model that accurately characterizes their macroscopic mechanical behavior, thereby providing a basis for optimizing parameters of seashell crushing equipment. Firstly, intrinsic parameters of seashells were determined through physical experiments: density of 2.2 kg/m3, Poisson’s ratio of 0.26, shear modulus of 1.57 × 108 Pa, and elastic modulus of 6.5 × 1010 Pa. Subsequently, contact parameters between seashells and between seashells and 304 stainless steel, including static friction coefficient, rolling friction coefficient, and coefficient of restitution, were obtained via the inclined plane method and impact tests. The reliability of these contact parameters was validated by the angle of repose test, with a relative error of 5.1% between simulation and measured results. Based on this, using ultimate load as the response indicator, the PlackettBurman experimental design was employed to identify normal stiffness per unit area and tangential stiffness per unit area as the primary influencing parameters. The Bonding model parameters were then precisely calibrated through the steepest ascent test and design, resulting in an optimal parameter set. The error between simulation results and physical experiments was only 3.8%, demonstrating the high reliability and accuracy of the established model and parameter calibration methodology. Full article
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20 pages, 2092 KB  
Article
Calibration of Snow Particle Contact Parameters for Simulation Analysis of Membrane Structure Snow Removal Robot
by Jiangtao Dong, Fuxiang Zhang, Fengshan Huang and Xiaofei Man
Appl. Sci. 2026, 16(2), 610; https://doi.org/10.3390/app16020610 - 7 Jan 2026
Cited by 1 | Viewed by 465
Abstract
To enhance the accuracy of discrete element method (DEM) simulation for the snow removal process performed by autonomous robots on membrane structures, this study calibrated the key contact parameters of snow particles used in the simulation. Through literature research, the intrinsic parameters and [...] Read more.
To enhance the accuracy of discrete element method (DEM) simulation for the snow removal process performed by autonomous robots on membrane structures, this study calibrated the key contact parameters of snow particles used in the simulation. Through literature research, the intrinsic parameters and contact parameter ranges for snow particles and membrane structures were determined. A discrete element model of snow particles was established, and the Hertz–Mindlin with Johnson–Kendall–Robert contact model was selected to simulate the formation process of the repose angle. Using the actual repose angle of snow particles as the target, four significant factors were identified through the P-B experiment, and other factors were set at the intermediate level. Through the steepest slope climbing experiment and response surface design, second-order response equations of the four significant factors were obtained. The optimal parameter combination was calculated as follows: the surface energy of snow particles was 0.23 J/m2; the restitution coefficient, static friction coefficient, and rolling friction coefficient of snow–snow were 0.141, 0.05, and 0.03; and the restitution coefficient, static friction coefficient, and rolling friction coefficient of snow–membrane were 0.2, 0.18, and 0.03. The simulated repose angle was 40.62°, and the relative error with the actual repose angle was 0.32%. These calibration results are reliable and can provide a reliable simulation basis and essential data support for the optimal design of a snow removal robot and the dynamic simulation of the operation process. Full article
(This article belongs to the Special Issue Advances in Robotics and Autonomous Systems)
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26 pages, 9110 KB  
Article
Performance-Based Assessment of Nonlinear Pendulum Impact Dampers for Structural Risk and Resilience
by Muhammad Ayaz Akbar, Hassan Raza and Naveed Husnain
Buildings 2026, 16(1), 142; https://doi.org/10.3390/buildings16010142 - 27 Dec 2025
Viewed by 597
Abstract
Extreme events often provoke critical structural vibrations, compromising building performance and resilience. Particle impact dampers (PIDs) are widely recognized as effective passive vibration control devices; however, their nonlinear dynamics and unpredictable particle motion limit adaptability under uncertain hazard conditions. This study introduces a [...] Read more.
Extreme events often provoke critical structural vibrations, compromising building performance and resilience. Particle impact dampers (PIDs) are widely recognized as effective passive vibration control devices; however, their nonlinear dynamics and unpredictable particle motion limit adaptability under uncertain hazard conditions. This study introduces a pendulum-type PID configuration designed to enhance controllability and energy dissipation by tuning particle frequency through suspension. Both the primary structure and particles are modeled as pendulums, and their interactions are analyzed under free and forced vibration scenarios. A comprehensive parametric study reveals that increasing the frequency ratio (F.R), defined as the ratio of particle natural frequency to that of the structure, significantly improves damping efficiency. At F.R = 5.0, with clearance d = 0.1 and restitution coefficient e = 0.2, the system achieves an average damping ratio of approximately 0.28 in free vibrations. Under resonant forced vibration, the proposed damper reduces amplitude ratios to below 0.3 compared to undamped conditions. The results confirm that lower clearance and restitution values consistently yield superior damping performance. The findings demonstrate that the pendulum-type PID offers a customizable, cost-effective solution for mitigating structural vibrations, thereby contributing to risk-informed and resilience-oriented design strategies for building structures exposed to extreme events. Full article
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17 pages, 10273 KB  
Article
Magnetic-Response-Driven Capture Behavior of Paramagnetic and Diamagnetic Fine Metal Particles in a Dry High-Gradient Magnetic Field
by Haozhou Chen, Huaiyu Wang and Osuke Miura
Materials 2026, 19(1), 49; https://doi.org/10.3390/ma19010049 - 22 Dec 2025
Viewed by 737
Abstract
Dry High-Gradient Magnetic Separation (Dry-HGMS) enables the manipulation of fine metal particles through their intrinsic magnetic responses. Research to date has predominantly addressed ferromagnetic powders, while the capture behavior of paramagnetic and diamagnetic particles with weak magnetic susceptibility has received limited examination. In [...] Read more.
Dry High-Gradient Magnetic Separation (Dry-HGMS) enables the manipulation of fine metal particles through their intrinsic magnetic responses. Research to date has predominantly addressed ferromagnetic powders, while the capture behavior of paramagnetic and diamagnetic particles with weak magnetic susceptibility has received limited examination. In this study, a multilayer magnetic filtration structure consisting of uniformly spaced unidirectional magnetic wires is developed to investigate the response-driven capture of such particles under dry conditions. By controlling the direction of the applied magnetic field, the system enables the selective capture of both paramagnetic and diamagnetic particles without inducing powder clogging. To clarify the capture mechanisms, a finite element method (FEM) framework is established that accounts for magnetic, drag, gravitational forces and Lorentz forces. The resulting capture maps reveal the dependence of particle trajectories on magnetic susceptibility, density, and electrical conductivity. Experiments performed on Al and Cr (paramagnetic) and Bi (diamagnetic) particles show trends consistent with the simulations. These results demonstrate that the proposed filtration system utilizes the magnetic-response characteristics of fine metal particles and extends the applicability of Dry-HGMS to weakly magnetic and diamagnetic materials. Full article
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24 pages, 4686 KB  
Article
Parameter Calibration and Experimentation of the Discrete Element Model for Mixed Seeds of Vetch (Vicia villosa) and Oat (Avena sativa) in a Pneumatic Seed Drilling System
by Yu Fu, Dewei Wang, Xufeng Wang, Long Wang, Jianliang Hu, Xingguang Chi and Mao Ji
Appl. Sci. 2025, 15(24), 13048; https://doi.org/10.3390/app152413048 - 11 Dec 2025
Cited by 1 | Viewed by 545
Abstract
This paper focuses on mixed seeds of Vicia villosa and Avena sativa, with their discrete element model and contact parameters being systematically calibrated and validated to provide reliable theoretical support for the structural design and parameter optimization of the air-assisted seed delivery [...] Read more.
This paper focuses on mixed seeds of Vicia villosa and Avena sativa, with their discrete element model and contact parameters being systematically calibrated and validated to provide reliable theoretical support for the structural design and parameter optimization of the air-assisted seed delivery system. The physical properties of both seed types, including triaxial dimensions, density, moisture content, Poisson’s ratio, and shear modulus, were first measured. The Hertz–Mindlin (no slip) contact model and the multi-sphere aggregation method were employed to construct the discrete element models of Vicia villosa and Avena sativa, with preliminary calibration of the intrinsic model parameters. Poisson’s ratio, elastic modulus, collision restitution coefficient, static friction coefficient, and rolling friction coefficient between the seeds and PLA plastic plate were determined through uniaxial compression, free fall, inclined sliding, and inclined rolling tests. Each test was repeated five times, and the calibration criterion for contact parameters was based on minimizing the relative error between simulation and experimental results. Based on this, experiments on the packing angle of mixed seeds, steepest slope, and a three-factor quadratic rotational orthogonal combination were conducted. The inter-seed collision restitution coefficient, static friction coefficient, and rolling friction coefficient were set as the experimental factors. A total of 23 treatments were designed with repetitions at the center point, and a regression model was established for the relative error of the packing angle with respect to each factor. Based on the measured packing angle of 28.01° for the mixed seeds, the optimal contact parameter combination for the mixed seed pile was determined to be: inter-seed collision restitution coefficient of 0.312, static friction coefficient of 0.328, and rolling friction coefficient of 0.032. The relative error between the simulated packing angle and the measured value was 1.32%. The calibrated inter-seed contact parameters were further coupled into the EDEM–Fluent gas–solid two-phase flow model. Simulations and bench verification tests were carried out under nine treatment combinations, corresponding to three fan speeds (20, 25, and 30 m·s−1) and three total transport efficiencies (12.5, 17.5, and 22.5 g·s−1), with the consistency coefficient of seed distribution in each row being the main evaluation variable. The results showed that the deviation in the consistency coefficient of seed distribution between the simulation and experimental measurements ranged from 1.24% to 3.94%. This indicates that the calibrated discrete element model for mixed seeds and the EDEM–Fluent coupled simulation can effectively reproduce the air-assisted seed delivery process under the conditions of Vicia villosa and Avena sativa mixed sowing, providing reliable parameters and methodological support for the structural design of seeders and DEM-CFD coupled simulations in legume–grass mixed sowing systems. Full article
(This article belongs to the Section Agricultural Science and Technology)
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