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Keywords = finite element modeling

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17 pages, 1320 KB  
Article
Virtual Commissioning of Robotic Operations with Flexible Thin Sheet Metal Parts
by Volodymyr Shramenko and Bernd Lüdemann-Ravit
Appl. Sci. 2026, 16(6), 2826; https://doi.org/10.3390/app16062826 (registering DOI) - 16 Mar 2026
Abstract
Vibrations of thin sheet-metal parts during robotic manipulation on a production line create a number of serious challenges for production process planning. Modeling the behavior of an elastic plate or shell as a function of the robot manipulator trajectory is typically performed using [...] Read more.
Vibrations of thin sheet-metal parts during robotic manipulation on a production line create a number of serious challenges for production process planning. Modeling the behavior of an elastic plate or shell as a function of the robot manipulator trajectory is typically performed using the finite element method (FEM) and requires significant computational effort. The time factor remains a key limitation for integrating operations involving flexible parts into the virtual commissioning process. In this work, a methodology is proposed that enables accurate real-time reproduction of the behavior of an elastic part during linear robotic manipulation. The approach is based on modeling the response of an elastic part to a prescribed base excitation using the FEM and on the development of a reduced model compliant with the FMI/FMU standard. This reduced model computes, in real time, the convolution of the precomputed base response with the acceleration profile corresponding to the robot TCP trajectory. This makes it possible to determine the total cycle duration, which consists of the part transfer time and the time required for vibration decay at the end of the trajectory down to an acceptable threshold, as well as to perform collision checking while accounting for the deformation of the flexible part. As a result, operations involving elastic parts can be integrated into the virtual commissioning process. Full article
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23 pages, 3875 KB  
Article
Design, Analysis, and Prototyping of a Formula SAE Application Flux-Switching Permanent Magnet Motor
by Filippo Crescenzio and Nicola Bianchi
Machines 2026, 14(3), 332; https://doi.org/10.3390/machines14030332 (registering DOI) - 15 Mar 2026
Abstract
This paper investigates the design, analysis, and prototyping of a Flux-Switching Permanent Magnet (FSPM) motor for Formula SAE electric vehicle applications. The stringent competition requirements demand traction motors with high torque and power density, and reliable operation at elevated speeds. An analytical model [...] Read more.
This paper investigates the design, analysis, and prototyping of a Flux-Switching Permanent Magnet (FSPM) motor for Formula SAE electric vehicle applications. The stringent competition requirements demand traction motors with high torque and power density, and reliable operation at elevated speeds. An analytical model based on air-gap permeance and magnetomotive force distributions is developed to provide an effective preliminary design tool and to reduce computational effort. The proposed model is used to define the main geometrical parameters of a 12-slot, 10-rotor-tooth FSPM machine, which is subsequently validated through finite element analysis. Analytical and numerical results are compared in terms of air-gap flux density, flux linkage, and torque capability, showing good agreement. Manufacturing-driven design choices, including optimized magnet slot geometry, laminated permanent magnets for eddy-current loss mitigation, and a mechanically robust lightweight rotor, are introduced to ensure high-speed operability and assembly reliability. Full article
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21 pages, 5280 KB  
Article
Experimental and Numerical Validation of a Fully Composite Permanent Coupling for Segmented Wind Turbine Blades
by Francisco Javier Santander-Bastida, Vignaud Granados-Alejo, Pedro Yáñez-Contreras and Ismael Ruíz-López
Appl. Sci. 2026, 16(6), 2824; https://doi.org/10.3390/app16062824 (registering DOI) - 15 Mar 2026
Abstract
The structural segmentation of wind turbine blades offers advantages in transportation, manufacturing, and maintenance; however, it introduces interfaces that may compromise load transfer and fatigue performance. This study presents the experimental and numerical validation of a composite coupling system designed for small wind [...] Read more.
The structural segmentation of wind turbine blades offers advantages in transportation, manufacturing, and maintenance; however, it introduces interfaces that may compromise load transfer and fatigue performance. This study presents the experimental and numerical validation of a composite coupling system designed for small wind turbine blades compliant with IEC 61400-2 requirements. A 2 m representative section extracted from the mid-span region of a 9 m blade was manufactured using vacuum-assisted resin infusion and tested under static loading conditions. A detailed finite element model based on classical laminate theory and orthotropic material properties was developed to predict structural response. Experimental measurements showed a maximum tip deflection of 15 mm under the applied load, compared to 13.76 mm predicted numerically, corresponding to a deviation of 8.9%. Surface strain measurements obtained from eight strain gauges installed across the blade–coupling interface indicated maximum mean values of +632.4 με in tension and −664.2 με in compression, with no evidence of localized strain amplification at the instrumented locations. These findings demonstrate that fully composite permanent segmentation can preserve stiffness continuity while maintaining strain levels below reported fatigue initiation thresholds, supporting the structural feasibility of segmented blade architectures for small wind turbine applications. Full article
(This article belongs to the Topic Numerical Simulation of Composite Material Performance)
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19 pages, 1660 KB  
Article
Stiffness Control Process for Supports with Flexible Elements of Different Technical Properties Used in Mechanical and Mechatronic Systems
by Audrius Čereška and Andrius Terebas
Processes 2026, 14(6), 933; https://doi.org/10.3390/pr14060933 (registering DOI) - 15 Mar 2026
Abstract
A support is a machine element that transmits loads to the base or other structures. A simple support is designed to withstand forces acting in the longitudinal direction, and a flexible support is designed to withstand forces in both longitudinal and transverse directions. [...] Read more.
A support is a machine element that transmits loads to the base or other structures. A simple support is designed to withstand forces acting in the longitudinal direction, and a flexible support is designed to withstand forces in both longitudinal and transverse directions. The possibilities for the use of flexible supports are very wide. In precision mechanics, flexible supports are used in positioning systems, micropositioning systems, vibration damping systems, as well as in fastening applications requiring adjustment and other structural configurations. The main problem of flexible supports is ensuring stability. This work examines the dependence of the stiffness of supports used in mechanical and mechatronic systems on the material and dimensions of the flexible element. A theoretical analysis of the stiffness of flexible supports, finite element method (FEM) modeling, and experimental stiffness research were performed. A special stand was manufactured for experimental research. A research methodology was developed, according to which experimental research was carried out. After theoretical, FEM and experimental research, the results obtained were compared and conclusions were formulated. The obtained data can be practically used in the research and design of new flexible supports that ensure desired stability, as well as in the improvement of existing support structures. Full article
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21 pages, 2592 KB  
Article
Measurement and Numerical Modelling of Swim Bladder Resonance Properties of Recently Euthanised Brown Trout (Salmo trutta)
by William Luocheng Wu, Philip Ericsson, Paul Kemp and Paul Robert White
Fishes 2026, 11(3), 169; https://doi.org/10.3390/fishes11030169 (registering DOI) - 15 Mar 2026
Abstract
Swim bladders in some teleost fish can act as gas-filled cavities that oscillate under acoustic pressure and transfer the sound energy to the inner ears. Quantifying the resonance frequency and damping of these oscillations is useful for linking swim bladder mechanics to hearing-related [...] Read more.
Swim bladders in some teleost fish can act as gas-filled cavities that oscillate under acoustic pressure and transfer the sound energy to the inner ears. Quantifying the resonance frequency and damping of these oscillations is useful for linking swim bladder mechanics to hearing-related and behavioural questions, but many established direct-measure approaches have relied on open-water deployments and careful avoidance of boundary reflections, making experiments logistically demanding and difficult to reproduce (e.g., requiring deep-water sites, careful control of surface/boundary reflections, and complex deployment geometries). This study presents a compact laboratory methodology for estimating swim bladder resonance properties using a closed, fully water-filled, stainless-steel impedance tube. Broadband pseudorandom excitation is applied via an end-plate shaker, and the acoustic response of the system is recorded using wall-mounted hydrophones. Resonance peaks are identified using power spectral estimates of recorded signals, allowing resonance frequency and quality factor to be extracted from the peak location and −3 dB bandwidth. The approach is first established using inflated latex balloons as surrogate encapsulated gas cavities, providing a controlled benchmark for repeatability and interpretation. It is then applied to recently euthanised brown trout (Salmo trutta), where clear resonance features attributable to the swim bladder are observed and show systematic variation with body size. A coupled finite element model reproduces the principal resonance behaviour under the experimental loading and supports interpretation of the measured peaks as swim bladder resonance. The results provide a validated foundation for subsequent non-invasive measurements on live, free-swimming fish, as well as for future applications where swim bladder condition may be relevant to management or conservation. Full article
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36 pages, 8397 KB  
Article
Intelligent Predictive Analysis of Lateral Torsional Buckling in Pre-Stressed Thin-Walled Steel Beams with Un-Bonded Deviators Under Non-Uniform Bending
by Ali Turab Asad, Moon-Young Kim, Imdad Ullah Khan and Agha Intizar Mehdi
Buildings 2026, 16(6), 1153; https://doi.org/10.3390/buildings16061153 (registering DOI) - 14 Mar 2026
Abstract
This study presents a newly conducted comprehensive investigation into the lateral torsional buckling (LTB) behavior of un-bonded pre-stressed (PS) thin-walled steel I-beams subjected to non-uniform bending moments, combining a numerical study with a machine learning (ML) approach and experimental validation. Despite extensive prior [...] Read more.
This study presents a newly conducted comprehensive investigation into the lateral torsional buckling (LTB) behavior of un-bonded pre-stressed (PS) thin-walled steel I-beams subjected to non-uniform bending moments, combining a numerical study with a machine learning (ML) approach and experimental validation. Despite extensive prior work, no exact analytical solution exists particularly for non-uniform bending or can be extremely complicated, as the resulting differential equations contain variable coefficients particularly under non-uniform bending due to the complexity of the PS system. To overcome this limitation, a numerical study using finite element (FE) analysis is first conducted with emphasis on the key geometric and pre-stressing parameters, including unbraced beam length, tendon eccentricity, deviators configurations, and pre-stressing force, to evaluate the LTB behavior. The FE modeling was then validated against experimental testing to ensure the accuracy and reliability of the FE solutions. Subsequently, a comprehensive dataset is generated using FE simulations to train the ML models aimed at predicting the LTB resistance of the PS system. This study presents three ML approaches, including support vector regression (SVR), random forest (RF) and least-square boosting (LSBoost), and their optimal hyperparameters are determined using Bayesian optimization (BO) to enhance the prediction performance. The results indicate that the LTB capacity predicted by the Bayesian-optimized ML models achieve high predictive accuracy and are in close agreement with numerical FE simulations, thereby highlighting their potential in capturing the complex, underlying non-linear interactions influencing the buckling behavior of the PS structural system. Accordingly, the proposed framework offers a robust and effective predictive tool for evaluating LTB resistance, particularly under non-uniform bending where exact analytical solutions are not available, and for supporting the design and assessment of PS steel structures. Full article
(This article belongs to the Section Building Structures)
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22 pages, 7573 KB  
Article
Phase Composition of Al–Si Alloys for Internal Combustion Engine Pistons: Finite Element Structural Analysis
by Atanasi Tashev, Desislava Dimova, Boyan Dochev, Teodor Solakov and Karel Trojan
Metals 2026, 16(3), 325; https://doi.org/10.3390/met16030325 (registering DOI) - 14 Mar 2026
Abstract
The structural reliability of pistons operating under severe thermo-mechanical loading strongly depends on the properties of the selected Al–Si alloy. This study presents an integrated experimental–numerical investigation of hypereutectic Al–Si alloys intended for piston applications. Phase constitution and silicon morphology were characterized by [...] Read more.
The structural reliability of pistons operating under severe thermo-mechanical loading strongly depends on the properties of the selected Al–Si alloy. This study presents an integrated experimental–numerical investigation of hypereutectic Al–Si alloys intended for piston applications. Phase constitution and silicon morphology were characterized by metallography and X-ray diffraction, while tensile testing provided mechanical properties for finite element modeling. The experimentally determined parameters were implemented in a three-dimensional piston model to evaluate stress distribution, deformation, and safety margins under maximum combustion pressure and maximum engine speed. The simulations revealed maximum von Mises stresses up to 150 MPa, with inter-alloy differences below 0.3%, indicating geometry-dominated stress behavior. The maximum displacement did not exceed 76 µm, varying by approximately 3% between alloys. In contrast, the minimum factor of safety ranged from 1.20 to 1.35, showing differences of up to 12%, primarily governed by yield strength and microstructural homogeneity. The results demonstrate that piston performance under combustion-dominated loading is strength-controlled rather than stiffness-controlled. The study provides quantitative insight into the structure–properties–performance relationship of hypereutectic Al–Si alloys and supports informed material selection for preliminary piston design. Full article
25 pages, 1613 KB  
Article
Structural Response and Analysis of Tooth-Plate Connections in Lightweight Wood Trusses
by Qianqian Liang, Runpu Li, Guijuan Lu and Jun Hu
Buildings 2026, 16(6), 1149; https://doi.org/10.3390/buildings16061149 (registering DOI) - 14 Mar 2026
Abstract
This study establishes a mechanical model of wood trusses incorporating the slip characteristics of tooth-plate connections, based on their unique load–slip constitutive relationship. By coupling the slip effect into the constitutive equations of dimensional lumber, the model effectively captures the interaction between connection [...] Read more.
This study establishes a mechanical model of wood trusses incorporating the slip characteristics of tooth-plate connections, based on their unique load–slip constitutive relationship. By coupling the slip effect into the constitutive equations of dimensional lumber, the model effectively captures the interaction between connection behavior and the overall structural response. A dedicated computational program was developed on the Fortran platform, employing the matrix displacement method as the finite element solution strategy. Numerical simulations were conducted to systematically analyze the internal force distribution of truss members, global deformation patterns, and tooth-plate slip behavior under various loading conditions. Through parametric evaluations, the study elucidates the mechanism by which tooth-plate slip influences structural mechanical performance, providing theoretical support for the design of lightweight wood trusses. Full article
(This article belongs to the Special Issue Reliability and Risk Assessment of Building Structures)
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21 pages, 12922 KB  
Article
Blast Response and Multi-Objective Optimization of Stretching–Bending Synergistic Lattice Core Sandwich Panels
by Xuejiao Gao and Lianchun Long
Appl. Sci. 2026, 16(6), 2799; https://doi.org/10.3390/app16062799 (registering DOI) - 14 Mar 2026
Abstract
Sandwich structures with lattice cores are promising for blast protection, yet conventional uniform lattices (ULs) often exhibit limited energy absorption under impulsive loading. This work introduces a novel sandwich panel containing Stretching–Bending Synergistic Lattice (SBSL) cores, and the blast-resistance performance is investigated by [...] Read more.
Sandwich structures with lattice cores are promising for blast protection, yet conventional uniform lattices (ULs) often exhibit limited energy absorption under impulsive loading. This work introduces a novel sandwich panel containing Stretching–Bending Synergistic Lattice (SBSL) cores, and the blast-resistance performance is investigated by finite element modeling (FEM). The results show that the areal specific energy absorption (ASEA) of the SBSLs cored with the same relative density exceeds that of ULs cored by up to 20%. Compared to the cored ULs, the cored SBSLs exhibit significant enhancements in total energy absorption (EA), with improvements of up to 8% for the core itself and 54.7% for the front face plate. Furthermore, the effect of geometric parameters on blast performance is systematically analyzed. The results indicate that reducing the rod diameter of the core cell and thickness of the face plate contributes to higher ASEA, while decreasing the cell height and thickness effectively suppresses the maximum instantaneous displacement (MaxD) of the back face plate. Finally, to further improve the performance, multi-objective optimizations are carried out. The results show that, compared with the baseline model, the MaxD of the optimized structure is reduced by 45%, while the ASEA is increased by 23%. This study demonstrates the significant potential of the SBSL core sandwich panel on blast-resistant protection applications. Full article
26 pages, 36304 KB  
Article
Numerical and Experimental Analysis of Water and Rock Pressure Effects on Mine Isolation Barriers—Case Study of a Mining Disaster Investigation
by Kinga Martuszewska, Dawid Szurgacz, Magdalena Worsa-Kozak, Jiří Pokorný, Krzysztof Chudy and Dominika Dąbrowska
Appl. Sci. 2026, 16(6), 2796; https://doi.org/10.3390/app16062796 (registering DOI) - 14 Mar 2026
Abstract
The structural integrity of isolation dams in deep coal mines is critical to preventing underground disasters, particularly those involving water and waste-mixture inrushes. This study presents a forensic root-cause analysis, using reverse-engineering techniques, of a specific isolation-dam rupture to determine the failure mechanism [...] Read more.
The structural integrity of isolation dams in deep coal mines is critical to preventing underground disasters, particularly those involving water and waste-mixture inrushes. This study presents a forensic root-cause analysis, using reverse-engineering techniques, of a specific isolation-dam rupture to determine the failure mechanism under complex stress conditions and limited data availability. A hybrid investigative methodology was employed, combining sequential post-failure documentation analysis with physical-scale modelling and numerical simulations to reconstruct a deadly disaster for criminal investigation purposes. A 1:5 scale physical model of the excavation and dam was constructed using original construction materials to test the structure’s resistance to hydrostatic pressure. The experimental results demonstrated that the dam maintained integrity under static hydraulic loads representative of real-world conditions, with only minor seepage (“sweating”) and no structural failure over a 7-day monitoring period. To investigate external geomechanical factors, Finite Element Method (FEM) simulations were conducted using ANSYS software. The numerical analysis evaluated the effects of rock mass pressure and convergence on the dam’s stability. The results indicate that while the dam was designed to withstand significant hydraulic head, the failure was precipitated by excessive rock mass pressure at a depth of around 600 m, which induced critical stress concentrations exceeding the masonry’s load-bearing capacity. This study confirms that the dynamic rupture was driven by unforeseen geomechanical forces rather than hydrostatic overload alone, highlighting the necessity of considering rock mass–structure interaction in the safety assessment of underground isolation barriers. This approach enables mutual verification of the results obtained and reduces the ambiguity of interpretation that often accompanies the analysis of accident events in underground mining. It also confirms the application of tested methodology for mining disaster reconstruction as proof at the stage of investigation and in the Court. Full article
(This article belongs to the Special Issue Recent Advances in Hydrogeology)
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23 pages, 4713 KB  
Article
Design and Optimization of Improved Double Stator Cylindrical Linear Oscillating Generator with Curved Tooth Structure
by Anjun Liu, Rong Guo, Yuxin Shen, Xiaoyu Zhang and Yang Song
Appl. Sci. 2026, 16(6), 2786; https://doi.org/10.3390/app16062786 - 13 Mar 2026
Abstract
Double stator cylindrical linear oscillating generators (DSCLOGs) have been widely used in renewable energy power generation systems due to their higher power density, higher reliability, and low-noise characteristics. However, the detent force of a DSCLOG is an inevitable problem, which causes oscillations in [...] Read more.
Double stator cylindrical linear oscillating generators (DSCLOGs) have been widely used in renewable energy power generation systems due to their higher power density, higher reliability, and low-noise characteristics. However, the detent force of a DSCLOG is an inevitable problem, which causes oscillations in the generator and leads to system instability. Conventionally, auxiliary teeth and skewed pole methods are employed to mitigate detent force, but these approaches often increase the overall machine size and the complexity of the manufacturing process. To solve this issue, an improved DSCLOG with curved teeth (CT-DSCLOG) is proposed to minimize the detent force. First, the structural characteristics and working principle of CT-DSCLOG are introduced. Then, to achieve a rapid and accurate analysis of the magnetic field in the irregular air gap, a 2D magnetic equivalent circuit (MEC) model is established by introducing Schwarz–Christoffel (S-C) mapping. And key structural parameters are identified through variance sensitivity analysis. Subsequently, a multi-objective optimization of the linear generator is performed using the Taguchi method combined with 3D finite element analysis (3D-FEA) to obtain the optimal structural parameters of CT-DSCLOG. Finally, the proposed structure is validated through prototype experiments. The results are provided to validate the effectiveness of the proposed structure. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
18 pages, 4181 KB  
Article
Environmentally Assisted Fatigue and Fracture Analysis in a Pipe Elbow Under Thermal Transients
by Lenin Ramos-Cantú, Luis Héctor Hernández-Gómez, Francisco Garibaldi-Márquez, Rafael García-Illescas, Alejandra Armenta-Molina, Marcos Adrián Guzman-Escalona and Abraham Villanueva García
Appl. Sci. 2026, 16(6), 2782; https://doi.org/10.3390/app16062782 (registering DOI) - 13 Mar 2026
Abstract
The fatigue behaviour of a 90° long radius elbow, which is adjacent to the feedwater nozzle in a BWR, was analyzed. The start-up and shutdown transients were considered. A thermo-mechanical finite element analysis was carried out to determine the stresses induced by thermal [...] Read more.
The fatigue behaviour of a 90° long radius elbow, which is adjacent to the feedwater nozzle in a BWR, was analyzed. The start-up and shutdown transients were considered. A thermo-mechanical finite element analysis was carried out to determine the stresses induced by thermal transients, considering the environmental conditions in the reactor feedwater pipe. In addition, the Palmgren–Miner methodology and the ASME B&PVC code fatigue curve were applied to evaluate the accumulated damage and service life of the component. Environmental correction factors were considered to estimate environmentally assisted fatigue. Reductions in fatigue life were observed. In the second part of this paper, a part-through thickness semielliptical crack was also postulated in the internal surface of the elbow. It was aligned along the axial direction at the crown zone. Its growth was modelled using the Paris equation, evaluating the risk of failure using fracture parameters. It was found that the vulnerable area is located on the inner surface of the elbow, due to the concentration of stress caused by the curved geometry. Failure assessment diagrams (FADs) were plotted. It was found that the crack depth is the main factor governing crack behaviour under the conditions studied. The results provide a methodology for assessing the integrity of pipes subjected to specific environmental and operating conditions. Full article
(This article belongs to the Section Mechanical Engineering)
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23 pages, 2888 KB  
Article
ASME-Based Structural Assessment of Head–Shell Junctions in Pressurized Railway Tank Wagons
by Costin Nicolae Ilincă, Rami Doukeh, Ibrahim Naim Ramadan, Adrian Neacsa, Alin Diniță, Eugen Victor Laudacescu, Marius Gabriel Petrescu, Bogdan Ilie and Andrei Cosmin Sîrbu
Materials 2026, 19(6), 1125; https://doi.org/10.3390/ma19061125 - 13 Mar 2026
Abstract
This study presents an ASME-based structural assessment of the head–shell junction in a 60 m3 pressurized railway tank wagon subjected to an internal pressure of 0.45 MPa, combining classical shell theory with finite element analysis (FEA) in accordance with ASME Section VIII [...] Read more.
This study presents an ASME-based structural assessment of the head–shell junction in a 60 m3 pressurized railway tank wagon subjected to an internal pressure of 0.45 MPa, combining classical shell theory with finite element analysis (FEA) in accordance with ASME Section VIII Division 2 stress categorization and linearization procedures. An analytical model based on the moment theory of shells of revolution was developed to describe displacement and rotation compatibility at the ellipsoidal head–cylindrical shell junction, allowing for the determination of contour interaction loads governing membrane–bending coupling in the discontinuity region. The calculated contour loads (Q0 = 795 N/mm, M0 = 13,350 N·mm/mm) indicate localized membrane–bending interactions caused by geometric discontinuity. Finite element simulations using axisymmetric (2D) and full 3D models were evaluated through the ASME VIII-2 stress linearization procedure, enabling comparison between analytical predictions and numerical results. The maximum equivalent stress according to the Coulomb–Tresca criterion reached 115 MPa (2D) and 117 MPa (3D), with less than 2% deviation, confirming the adequacy of the axisymmetric model. Stress linearization shows that the maximum combined primary membrane and bending stress (109.5 MPa) remains well below the ASME allowable limit of 308 MPa, while the discontinuity influence zone extends approximately 120–150 mm from the junction. The results confirm compliance with ASME VIII Division 2 requirements and demonstrate that the combined analytical–numerical approach provides a reliable method for evaluating stress concentration effects in railway tank wagons. Full article
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42 pages, 1374 KB  
Article
Sensitivity Analysis and Design of Dynamic Inductive Power Transfer Coil Geometries for Two-Wheeled Electric Vehicles Under Misalignments
by Mário Loureiro, R. M. Monteiro Pereira and Adelino J. C. Pereira
Energies 2026, 19(6), 1456; https://doi.org/10.3390/en19061456 - 13 Mar 2026
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Abstract
This work investigates the geometric design and optimisation of a dynamic inductive power transfer coupler for two-wheeled electric vehicles under misalignment and magnetic-field exposure constraints. A computational three-dimensional finite-element model of a shielded rectangular coupler is developed to characterise coupling coefficients and magnetic [...] Read more.
This work investigates the geometric design and optimisation of a dynamic inductive power transfer coupler for two-wheeled electric vehicles under misalignment and magnetic-field exposure constraints. A computational three-dimensional finite-element model of a shielded rectangular coupler is developed to characterise coupling coefficients and magnetic flux density levels on control planes along the longitudinal travel range and under lateral and angular misalignments. Two simulation datasets are generated: one varying only geometric parameters at a nominal position for surrogate construction and global sensitivity analysis, and a second jointly sampling geometry, the travel range and misalignments for optimisation. Sparse Polynomial Chaos Expansions and Canonical Low-Rank Approximation surrogates are built to quantify Sobol’ indices, revealing that a small subset of primary-side geometric variables dominates both coupling efficiency and magnetic field levels. Random forest regressors are then trained on the extended dataset and embedded in the Non-dominated Sorting Genetic Algorithm II to solve a multi-objective optimisation problem that maximises worst-case coupling, improves robustness to misalignment, and enforces magnetic-field leakage limits. Optimal designs were obtained, and a subset was selected for re-evaluation using the finite-element method. The results confirm that the proposed surrogate-assisted framework yields coupler geometries with enhanced coupling and reduced magnetic field leakage while respecting the mechanical constraints for the electric motorcycle system. Full article
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23 pages, 1158 KB  
Article
A Hybrid Model Reduction Method for Dual-Continuum Model with Random Inputs
by Lingling Ma
Computation 2026, 14(3), 69; https://doi.org/10.3390/computation14030069 - 13 Mar 2026
Viewed by 25
Abstract
In this paper, a hybrid model reduction method for solving flows in fractured media is proposed. The approach integrates the Generalized Multiscale Finite Element Method (GMsFEM) with a novel variable-separation (VS) technique. Compared with many widely used variable-separation methods, the proposed model reduction [...] Read more.
In this paper, a hybrid model reduction method for solving flows in fractured media is proposed. The approach integrates the Generalized Multiscale Finite Element Method (GMsFEM) with a novel variable-separation (VS) technique. Compared with many widely used variable-separation methods, the proposed model reduction method shares their merits but has lower computation complexity and higher efficiency. Within this framework, we can get the low-rank variable-separation expansion of dual-continuum model solutions in a systematic enrichment manner. No iteration is performed at each enrichment step. The expansion is constructed using two sets of basis functions: stochastic basis functions and deterministic physical basis functions, both derived from offline, model-oriented computations. To efficiently construct the stochastic basis functions, the original model is used to learn stochastic information. Meanwhile, the deterministic physical basis functions are trained using solutions obtained by applying an uncoupled GMsFEM to the dual-continuum system at a select number of optimal samples. Once these bases are established, the online evaluation for each new random sample becomes highly efficient, allowing for the computation of a large number of stochastic realizations at minimal cost. To demonstrate the performance of the proposed method, two numerical examples for dual-continuum models with random inputs are presented. The results confirm that the hybrid model reduction method is both efficient and achieves high approximation accuracy. Full article
(This article belongs to the Special Issue Advances in Computational Methods for Fluid Flow)
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