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Keywords = symmetric and asymmetric modes

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24 pages, 26210 KB  
Article
Experimental and Numerical Study on the Failure Behavior of Rock Mass with Openings Under Dynamic Loading
by Haoyu Han, Yihan Zhang, Hongyuan Liu, Yatao Yan, Yue Zheng, Ruyi Yan, Siru Li, Xinrui Ma and Shuran Chang
Eng 2026, 7(6), 299; https://doi.org/10.3390/eng7060299 - 18 Jun 2026
Viewed by 206
Abstract
In underground engineering, the dynamic failure mechanisms of rock masses containing openings under impact loading are of vital importance. This study systematically investigates the effects of opening shape, size, and orientation on the dynamic behavior of red sandstone. Dynamic impact tests are first [...] Read more.
In underground engineering, the dynamic failure mechanisms of rock masses containing openings under impact loading are of vital importance. This study systematically investigates the effects of opening shape, size, and orientation on the dynamic behavior of red sandstone. Dynamic impact tests are first performed using a split Hopkinson pressure bar together with high-speed photography and digital image correlation for full-field strain and crack monitoring. A two-dimensional combined finite–discrete element (FDEM) model is then developed to reproduce the dynamic failure process. It is found that the opening size significantly affects the dynamic compressive strength, while the opening shape dictates crack initiation and propagation. Circular openings induce symmetric cracking, square openings cause corner-dominated cracks, and horseshoe-shaped openings produce asymmetric failure whose dominant side depends on the rotation angle. The FDEM model established in this study successfully reproduces the main crack paths and failure modes observed in experiments, which provides a powerful tool for the analysis of rock dynamic failure. Moreover, the results in this study also provide practical engineering guidance for the reinforcement and support measures for different opening shapes. Full article
(This article belongs to the Special Issue Advanced Numerical Simulation Techniques for Geotechnical Engineering)
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22 pages, 10893 KB  
Article
Direct Measurement of Energy Dissipation in Nanoscale Tribomechanical Interfaces: Dissipative Transfer Steady State
by Dinh Dat Pham, Yuichi Otsuka and Yukio Miyashita
Materials 2026, 19(11), 2258; https://doi.org/10.3390/ma19112258 - 26 May 2026
Viewed by 426
Abstract
This study examines the development of a steady state in the cyclic wear process for various combinations of metallic and inorganic materials. Energy dissipation is widely acknowledged as a significant parameter in wear mechanisms. However, at the nanoscale, the linear correlation between energy [...] Read more.
This study examines the development of a steady state in the cyclic wear process for various combinations of metallic and inorganic materials. Energy dissipation is widely acknowledged as a significant parameter in wear mechanisms. However, at the nanoscale, the linear correlation between energy dissipation and wear progression is not consistently applicable. In this study, experimental observations of cyclic wear between scanning probe microscopy (SPM) cantilevers and substrate displacement were conducted. Substrate vibrations were monitored using a laser Doppler vibrometer, which facilitated the direct estimation of energy dissipation at nanocontacts during cyclic loading. The wear rates of the substrates decreased with an increase in the number of cyclic loadings, indicating the formation of a transfer steady state at the interface. Symmetric contact mode, based on the viscoelastic behavior of the contact, and asymmetric mode, based on adhesion between the interfaces, are commonly observed. The asymmetric mode evolved in the later stages of cyclic wear, suggesting the transfer of the steady state between the interfaces. A linear relationship between energy dissipation and wear rates was still observed for metallic substrates, whereas a steady state was observed for inorganic materials. This difference can be attributed to material exchange at the interfaces. Full article
(This article belongs to the Special Issue Corrosion and Materials in Interacting Systems)
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25 pages, 25661 KB  
Article
Spatiotemporal Characteristics of Street Canyon Microclimate: Insights from Cross-Seasonal Field Measurements and Coupled CFD Simulations
by Jiaqi Wang, Ye Min, Jing Tan and Zijing Tan
Buildings 2026, 16(11), 2134; https://doi.org/10.3390/buildings16112134 - 26 May 2026
Viewed by 300
Abstract
Urban street canyons exert a critical influence on local microclimates; however, the dynamics of mixed convective airflow under unsteady wind and thermal forcing remain poorly quantified. This study systematically investigates the spatiotemporal characteristics of airflow within symmetric and asymmetric street canyons through integrated [...] Read more.
Urban street canyons exert a critical influence on local microclimates; however, the dynamics of mixed convective airflow under unsteady wind and thermal forcing remain poorly quantified. This study systematically investigates the spatiotemporal characteristics of airflow within symmetric and asymmetric street canyons through integrated long-term field measurements and complementary CFD simulations. Field data collected over 120 monitoring days at the Weishui Campus of Chang’an University were analyzed using the Levenberg–Marquardt nonlinear curve-fitting algorithm. The analysis demonstrates that sine functions accurately represent diurnal surface temperature variations during consecutive clear sky periods, whereas polynomial functions of varying orders are required to characterize meteorologically complex episodes, including cold-wave cooling and seasonal transitions. Ambient wind patterns outside the canyon were further classified into two characteristic variation modes: stepwise and gradual. Complementary unsteady RANS simulations, with wall boundary conditions derived directly from the fitted field data, reveal that canyon geometry and meteorological forcing jointly govern the evolution of airflow structures and thermal distributions across seasons. In the symmetric canyon, the flow transitions from complex multi-vortex activity in spring and summer to a more stable regime in autumn, with two well-defined counter-rotating vortices emerging during winter cold-wave events. In the asymmetric canyon, strong summer solar heating sustains a dominant leeward vortex with a strengthening secondary structure, whereas winter cold wave intrusion generates a hierarchically nested vortex system in which secondary and tertiary vortices progressively develop and detach. By coupling empirical surface temperature functions with CFD boundary conditions, this study advances the precision of predictive microclimate models and provides an evidence-based framework for optimizing street canyon geometry to enhance ventilation performance, energy efficiency, and outdoor thermal comfort. Full article
(This article belongs to the Section Architectural Design, Urban Science, and Real Estate)
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35 pages, 4901 KB  
Article
Investigation of the Impact of Household Energy Storage on DSO Grid Load Symmetry and Photovoltaic Energy Utilization Efficiency
by Laurynas Šriupša, Mindaugas Vaitkūnas, Artūras Baronas, Gytis Svinkūnas, Julius Dosinas, Saulius Gudžius and Gytis Vilutis
Symmetry 2026, 18(5), 879; https://doi.org/10.3390/sym18050879 - 21 May 2026
Viewed by 278
Abstract
In this study, we investigate the impact of electric energy storage (EES) on phase line power flow symmetry and photovoltaic (PV) energy utilization in prosumer three-phase four-wire integrated household systems. The analysis is based on high-time-resolution (1 s) experimental data collected from a [...] Read more.
In this study, we investigate the impact of electric energy storage (EES) on phase line power flow symmetry and photovoltaic (PV) energy utilization in prosumer three-phase four-wire integrated household systems. The analysis is based on high-time-resolution (1 s) experimental data collected from a real household grid and subsequent simulations of energy flows using MATLAB/Simulink software. Two converter operation strategies were evaluated: the conventional symmetric mode and the asymmetric mode developed by the authors based on an adaptive power flow management algorithm. For both strategies, the impact of EES capacity on imbalance in the distribution system operator (DSO) grid was investigated. The methodology analyzes energy flows in each phase line separately, allowing for a detailed assessment of the imbalance between phase line phenomena and their impact on local energy consumption. Key performance parameters used for the efficiency evaluation include the self-consumption and self-sufficiency rates, which quantify the share of locally generated energy consumed within the household and the degree of independence from the DSO grid. The results show that combining adaptive asymmetric inverter control with appropriately sized energy storage allows for more efficient on-site utilization of PV energy, which, at the same time, improves the load symmetry of the phase lines in the DSO grid. Full article
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27 pages, 2961 KB  
Article
In-Hover Quadrotor Rotor Degradation Monitoring Using Null-Space Excitation and Lock-In Detection
by István Lovas
Drones 2026, 10(5), 395; https://doi.org/10.3390/drones10050395 - 21 May 2026
Viewed by 395
Abstract
In-flight propulsion system diagnosis in multirotor unmanned aerial vehicles (UAVs) remains a challenging problem due to closed-loop control interactions, strong environmental disturbances, and common-mode effects that obscure rotor-specific anomalies. Conventional passive monitoring approaches based solely on electrical or mechanical measurements are often insufficient [...] Read more.
In-flight propulsion system diagnosis in multirotor unmanned aerial vehicles (UAVs) remains a challenging problem due to closed-loop control interactions, strong environmental disturbances, and common-mode effects that obscure rotor-specific anomalies. Conventional passive monitoring approaches based solely on electrical or mechanical measurements are often insufficient for reliable fault localization and for distinguishing global degradations from nominal operation. This paper proposes an active diagnostic framework that exploits low-amplitude sinusoidal excitation injected into the control null space during hover operation. By employing lock-in detection, rotor responses are selectively extracted at the excitation frequency, enabling the derivation of robust amplitude-based sensitivity indicators from rotational speed, current, and electrical power signals. A pairwise signed diagnostic metric is formulated to achieve reliable localization of asymmetric rotor faults. In addition, an absolute indicator referenced to a baseline condition is introduced to capture symmetric degradations affecting all rotors through the combined use of current- and power-based sensitivities. The proposed method is validated in a high-fidelity quadrotor simulation environment incorporating viscous-friction and thrust-coefficient degradation faults. Extensive Monte Carlo analyses demonstrate robust fault-detection and localization performance, including scenarios that are indistinguishable using conventional pairwise normalization techniques. Full article
(This article belongs to the Section Drone Design and Development)
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25 pages, 7136 KB  
Article
Vibration-Based Condition Monitoring of Ground Engaging Tools Using Finite Element-Derived Modal Features
by Shasha Chen, Bernard F. Rolfe, James Griffin, Arnaldo Delli Carri and Michael P. Pereira
Vibration 2026, 9(2), 36; https://doi.org/10.3390/vibration9020036 - 19 May 2026
Viewed by 480
Abstract
Ground engaging tool (GET) wear monitoring is important for mining excavator maintenance, but progressive multi-tooth wear estimation remains insufficiently explored. This study presents a vibration-based framework for GET wear estimation during operations using modal analysis, finite element (FE) modelling, and machine learning as [...] Read more.
Ground engaging tool (GET) wear monitoring is important for mining excavator maintenance, but progressive multi-tooth wear estimation remains insufficiently explored. This study presents a vibration-based framework for GET wear estimation during operations using modal analysis, finite element (FE) modelling, and machine learning as a supporting evaluation tool. A laboratory-scale mining bucket surrogate with detachable attached masses was used to represent progressive tooth wear through controlled mass-loss conditions. Experimental impact hammer tests under approximately free-free boundary conditions were conducted to validate the FE modal model through natural-frequency comparison and qualitative mode correspondence. The validated FE model was then used to generate a broader dataset of multi-tooth wear scenarios, from which the first ten natural frequencies were extracted as modal features. Linear Regression (LR) was adopted as a simple and interpretable baseline to evaluate both overall wear estimation and individual tooth wear estimation. High accuracy was obtained for overall wear estimation for both the non-symmetric and symmetry-augmented datasets, with R2 values of 0.9983 and 0.9976, respectively. In contrast, individual tooth prediction was more challenging, and the symmetry-augmented results showed that mirrored tooth locations can produce non-unique frequency-based signatures. An additional asymmetric FE sensitivity study further confirmed that structural symmetry can limit local wear identifiability when only global natural frequencies are used. These findings demonstrate the potential of FE-derived modal frequency features for laboratory-scale GET wear assessment, while also highlighting the limitations of frequency-only features for unique local wear localisation in symmetric structures. This is a promising approach for wear estimation during mining operations. Full article
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16 pages, 6596 KB  
Article
Cavitation Bubble Collapse Dynamics near a Wall with a Spherical Cap Protrusion
by Jiang Zhao, Miaomiao Qiu, Xiaoyu Wang, Jian Zhou, Yuning Zhang, Yuning Zhang, Jinsen Hu and Xu Qiu
Symmetry 2026, 18(5), 798; https://doi.org/10.3390/sym18050798 - 7 May 2026
Viewed by 334
Abstract
Protrusions on the flow-passing surfaces of hydraulic machinery readily induce localized cavitation and exacerbate cavitation erosion damage. This study investigates the influence of a spherical cap protrusion on a flat wall on the collapse dynamics of cavitation bubbles. By integrating high-speed photography experiments [...] Read more.
Protrusions on the flow-passing surfaces of hydraulic machinery readily induce localized cavitation and exacerbate cavitation erosion damage. This study investigates the influence of a spherical cap protrusion on a flat wall on the collapse dynamics of cavitation bubbles. By integrating high-speed photography experiments with Kelvin impulse theory, an impulse model is constructed based on boundary treatment and potential flow superposition. The dynamic evolution characteristics of cavitation bubbles at both symmetric and asymmetric positions are systematically analyzed, with emphasis on the effects of the spherical cap angle and bubble azimuthal angle on bubble morphology evolution, bubble wall collapse velocity, and the magnitude and direction of the Kelvin impulse. The results indicate that as the spherical cap angle increases, the non-spherical collapse of bubbles at symmetric positions becomes substantially more pronounced, and the collapse mode transitions from flat wall-dominated to protrusion-dominated behavior. At asymmetric positions, a larger spherical cap angle intensifies the non-uniformity of the bubble wall collapse velocity: the minimum velocity continues to decrease, and the location of this extremum shifts toward the side adjacent to the protrusion. Meanwhile, the Kelvin impulse magnitude exhibits accelerating growth, and its direction reorients from perpendicular to the wall toward the protrusion structure. Full article
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15 pages, 11736 KB  
Article
Study on Overburden Migration Law During Working Face Mining After Grouting Reconstruction of Unconsolidated Aquifer
by Peisen Zhang, Kaixuan Zhang, Lei Tu, Shubao Wu and Peng Xiao
Processes 2026, 14(9), 1446; https://doi.org/10.3390/pr14091446 - 29 Apr 2026
Viewed by 252
Abstract
To clarify the migration and structural evolution of mining-induced overburden following grouting reconstruction of the Fourth Aquifer, the inner section of Panel 1022-2 in Wugou Coal Mine was taken as the engineering background. The evolution law of overburden movement and the development characteristics [...] Read more.
To clarify the migration and structural evolution of mining-induced overburden following grouting reconstruction of the Fourth Aquifer, the inner section of Panel 1022-2 in Wugou Coal Mine was taken as the engineering background. The evolution law of overburden movement and the development characteristics of the caving zone were systematically investigated via theoretical analysis, similar-material simulation, and numerical simulation. In addition, the maximum caving-zone height of Panel 1022-2 was calculated based on the measured caving-to-mining ratio of the adjacent Panel 1010-1. The results show that following grouting reconstruction of the Fourth Aquifer, the water inflow and permeability coefficient decreased significantly, the mining-induced water-body grade was classified as Grade III, and the required coal pillar type was converted from a waterproof safety coal (rock) pillar to an anti-collapse safety coal (rock) pillar. The bedrock failure morphology evolved sequentially from a symmetrical trapezoid to a stepped shape and finally to an asymmetrical saddle shape, with a maximum caving-zone height of 19.0 m, whereas the Fourth Aquifer evolved from fracture initiation and bed separation to asymmetrical overall subsidence. Overburden migration is jointly controlled by bedrock thickness and the mechanical properties of the unconsolidated layer, presenting a distinct three-stage evolution pattern. As the size of the reserved safety coal (rock) pillar decreases, the overburden failure mode changes from overall plastic failure under relatively thick bedrock, to semi-block failure with longitudinal fractures penetrating to the base of the Fourth Aquifer and transverse fractures and interlayer separation initiating inside the aquifer, and finally to intensified failure under thin-bedrock conditions. Based on field analogy with Panel 1010-1, the maximum caving-zone height of Panel 1022-2 was calculated to be 19.73 m, which is in good agreement with the numerical and similar-material simulation results, verifying the reliability of the three-stage overburden evolution law and the caving-zone height evaluation. Full article
(This article belongs to the Section Energy Systems)
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10 pages, 933 KB  
Article
Visible Light-Range Quasi-Bound States in the Continuum in Symmetric Gold Nanohole Arrays for High-FOM Refractive-Index Sensing
by Peiyi Lu, Weiwei Liu and Silin Yang
Photonics 2026, 13(4), 398; https://doi.org/10.3390/photonics13040398 - 21 Apr 2026
Viewed by 684
Abstract
Realizing high-quality-factor (high-Q) plasmonic resonances in the visible regime is critical for enhancing light-matter interactions and advancing biochemical sensing. However, traditional localized surface plasmon resonances (LSPRs) typically suffer from broad spectral linewidths due to severe radiative damping. In this work, we propose a [...] Read more.
Realizing high-quality-factor (high-Q) plasmonic resonances in the visible regime is critical for enhancing light-matter interactions and advancing biochemical sensing. However, traditional localized surface plasmon resonances (LSPRs) typically suffer from broad spectral linewidths due to severe radiative damping. In this work, we propose a simple two-dimensional symmetric gold nanohole-array metasurface that supports a symmetry-protected bound state in the continuum (SP-BIC) at normal incidence. By introducing extrinsic symmetry breaking via oblique incidence, this non-radiative dark state is successfully transformed into an observable high-Q quasi-BIC Fano resonance. Cartesian multipole decomposition reveals that this sharp mode (λ688 nm) is predominantly driven by a tightly confined Magnetic Dipole (MD) excitation, which drastically suppresses radiative leakage compared to the highly damped Electric Dipole (ED)-dominated LSPR. Consequently, the quasi-BIC mode exhibits an ultra-narrow spectral linewidth (FWHM17.4 nm). While its bulk sensitivity (236.9 nm/RIU) is slightly lower than that of the LSPR mode, the exceptionally sharp resonance yields a remarkably low Limit of Detection (LOD) of 7.35×103 RIU, achieving a nearly five-fold improvement over the traditional LSPR. Furthermore, the quasi-BIC mode maintains an outstanding Figure of Merit (FOM up to ∼19.7 RIU1) across the entire sensing range. By eliminating the need for complex asymmetric nanofabrication, this robust angle-tuned design strategy provides a highly promising platform for the development of high-resolution, low-cost optical biosensors. Full article
(This article belongs to the Special Issue Emerging Trends in Diffractive Optics and Metasurfaces)
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19 pages, 12545 KB  
Article
Objective Classification of Asymmetric Modes of the Boreal Summer Intraseasonal Oscillation over the Western North Pacific and Their Divergent Impacts on Eastern China Precipitation
by Shan Zhu, Pengle Qian, Dong Wang, Yunfeng Tang and Tianyi Wang
Atmosphere 2026, 17(3), 258; https://doi.org/10.3390/atmos17030258 - 28 Feb 2026
Viewed by 472
Abstract
The boreal summer intraseasonal oscillation (BSISO) over the western North Pacific (WNP) exhibits significant phase asymmetry, but a systematic classification of its asymmetric modes and their regional climatic impacts remains insufficiently explored. This study introduces an objective index to quantify the asymmetry in [...] Read more.
The boreal summer intraseasonal oscillation (BSISO) over the western North Pacific (WNP) exhibits significant phase asymmetry, but a systematic classification of its asymmetric modes and their regional climatic impacts remains insufficiently explored. This study introduces an objective index to quantify the asymmetry in BSISO wet phase evolution. Combined with event life cycle duration, we classify WNP BSISO events into three distinct types: a short-lived Symmetric Pattern that resembles the canonical northwestward-propagating high-frequency BSISO, and two long-lived asymmetric patterns—Asymmetric Pattern I (rapid development/slow decay) and Asymmetric Pattern II (slow development/rapid decay). Both asymmetric patterns are dominated by the low-frequency BSISO component and propagate northward; their contrasting asymmetries arise from differences in the coupling timing of a transient high-frequency signal. These BSISO types exert distinct impacts on summer precipitation over eastern China. The Symmetric Pattern causes brief, alternating anomalies. However, asymmetric modes lead to longer-lasting precipitation issues. Pattern I triggers sudden drought-to-flood shifts that pose high risks, while Pattern II moves through phases more gradually. Our objective classification of asymmetric BSISO modes and revelation of their distinct rainfall impacts together provide a physical framework for refining subseasonal forecasts over East Asia. Full article
(This article belongs to the Section Climatology)
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13 pages, 3258 KB  
Proceeding Paper
Integration of Solar Thermal Energy Conversion with a Novel Multilevel Inverter Circuit for Low-Power Applications
by Vijayaraja Loganathan, Dhanasekar Ravikumar, Mohamed Raffi Sheik Alaudeen, Abinandhan Jeevagan and Rupa Kesavan
Eng. Proc. 2026, 124(1), 27; https://doi.org/10.3390/engproc2026124027 - 11 Feb 2026
Viewed by 651
Abstract
The rise of carbon emissions from fossil fuel-based power generation has intensified the need for efficient and low-carbon energy systems. The global CO2 concentration has risen from 285 ppm in the pre-industrial era to nearly 420 ppm today, and this contributes to [...] Read more.
The rise of carbon emissions from fossil fuel-based power generation has intensified the need for efficient and low-carbon energy systems. The global CO2 concentration has risen from 285 ppm in the pre-industrial era to nearly 420 ppm today, and this contributes to a 1°C increase in average temperature. Therefore, in this article, a hybrid photovoltaic–thermoelectric generator (PV–TEG) system integrated with a reduced-switch multilevel inverter (MLI) is proposed. This enhances renewable energy utilization and power quality. The proposed PV–TEG model recovers waste heat from PV modules, which yields an overall efficiency improvement of approximately 2–8% compared to standalone PV systems. Further, the proposed MLI operates in symmetric (seven-level) and asymmetric (11-level) modes using eight switches. The system develops high-quality stepped output voltages with a minimum component count. Simulation work is performed, and the results show a peak output voltage of ±220 V with Total Harmonic Distortion (THD) of 7.2% under R-load and reduced THD below 5% under RL and variable load conditions. The integrated system demonstrates improved efficiency, reliability, and suitability for sustainable power generation and rural electrification. Full article
(This article belongs to the Proceedings of The 6th International Electronic Conference on Applied Sciences)
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40 pages, 4919 KB  
Article
Membership Bundling in Platform Competition: To Bundle Add-Ons Together or Separately?
by Junmin Zhou and Weijun Zeng
J. Theor. Appl. Electron. Commer. Res. 2026, 21(2), 54; https://doi.org/10.3390/jtaer21020054 - 3 Feb 2026
Viewed by 1229
Abstract
Platforms are increasingly adopting membership bundling strategies to strengthen competitiveness. This paper explores how duopoly platforms bundle their membership services (the base products) with those provided by other platforms (add-ons) through a game-theoretic lens. We focus on the competing platforms’ strategic decisions to [...] Read more.
Platforms are increasingly adopting membership bundling strategies to strengthen competitiveness. This paper explores how duopoly platforms bundle their membership services (the base products) with those provided by other platforms (add-ons) through a game-theoretic lens. We focus on the competing platforms’ strategic decisions to bundle different add-ons together or separately by examining three key determinants: the quality gap between the base products, the quality of versus consumer preference for the add-ons, and the profit-sharing ratio to partners who offer the add-ons. First, with comparable base-good qualities, symmetric bundling emerges in equilibrium. Specifically, simultaneously bundling add-ons together (or separately) dominates when the add-on quality (or the consumers’ preference) mainly drives purchase. Second, significant quality disparity in the base goods leads to asymmetric equilibria: the high-quality platform strategically selects the bundling mode, together or separately, that minimizes the profit-sharing payouts, forcing the low-quality rival to adopt a different strategy. Finally, when the base goods have similar quality, the platform competition can largely yield optimal welfare outcomes. With a significant quality disparity, however, the equilibrium strategies may deviate from social efficiency. Our study advances understanding of platform competition with membership bundling and offers regulatory insights for social planners to strategically intervene in platforms’ membership bundling decisions. Full article
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32 pages, 12947 KB  
Article
Backstepping-Based Control of Two Series-Connected 5-Փ PMSMs Used for Small and Medium Electric Ship Propulsion Systems
by Khouloud Ben Hammouda, Mohamed Trabelsi, Ramzi Trabelsi and Riadh Abdelati
J. Mar. Sci. Eng. 2026, 14(3), 297; https://doi.org/10.3390/jmse14030297 - 2 Feb 2026
Cited by 2 | Viewed by 529
Abstract
This paper deals with the control of two five-phase permanent magnet synchronous motors (PMSMs), which are connected in series and operating at different speeds and torques. The topology under study is intended for use in an electrical naval propulsion system. The backstepping control [...] Read more.
This paper deals with the control of two five-phase permanent magnet synchronous motors (PMSMs), which are connected in series and operating at different speeds and torques. The topology under study is intended for use in an electrical naval propulsion system. The backstepping control strategy, which uses the Lyapunov stability concept, is employed to control the speed of the two machines considering the series connection of the PMSM stator windings. A comparative study, with respect to classical Vector Control (VC) using PI regulators, is provided to demonstrate the robustness of the proposed control strategies in both healthy and faulty conditions. Typically, dual PMSMs in series cannot operate in the degraded mode in the event of faults. This study optimizes their operation by adapting to such modes, including faults caused by symmetrical parameter changes or by an asymmetrical High Resistance Connection (HRC) in the stator windings, thereby ensuring continuity of service. The HRC is investigated and verified in one stator phase, in two adjacent stator phases and in two non-adjacent stator phases, as well as in a symmetrical HRC fault across all phases. Matlab-based simulation results validate the control design to achieve the desired performance and prove the effectiveness and the asymptotic stability of backstepping control for two series-connected 5-Փ PMSMs, thereby providing redundancy for the naval electric propulsion system. Full article
(This article belongs to the Section Ocean Engineering)
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27 pages, 5477 KB  
Article
Asymmetric Supply Structures and Innovation Incentives in Power Battery Supply Chains: The Role of Consumer Safety Preferences
by Chunyi Ji, Jiaqi Yan and Wuyong Qian
Symmetry 2026, 18(2), 265; https://doi.org/10.3390/sym18020265 - 31 Jan 2026
Viewed by 535
Abstract
The rapid expansion of new energy vehicles (NEVs) has intensified concerns over power battery safety, making consumer safety preferences an important driver of firms’ innovation and supply chain decisions. From the perspective of structural symmetry and structural asymmetry in supply chains, this study [...] Read more.
The rapid expansion of new energy vehicles (NEVs) has intensified concerns over power battery safety, making consumer safety preferences an important driver of firms’ innovation and supply chain decisions. From the perspective of structural symmetry and structural asymmetry in supply chains, this study examines how consumer safety preferences shape innovation incentives and supply mode selection in the power battery supply chain. A game-theoretic framework is developed to analyze four representative supply modes characterized by different degrees of decision power and structural asymmetry, including in-house production, sourcing from a dominant supplier, sourcing from a non-dominant supplier, and equity-based cooperation. Stackelberg and Nash game models are employed to derive equilibrium pricing, innovation effort, recycling decisions, and profit allocation outcomes. Numerical simulations further explore the interaction effects between consumer safety preferences and key cost factors. The results show that stronger consumer safety preferences consistently promote battery innovation and enhance overall supply chain profitability, while the distribution of innovation gains depends critically on the underlying supply structure. Supply mode selection exhibits threshold effects as safety preferences increase, and innovation and recycling decisions respond asymmetrically. Moreover, innovation costs significantly moderate the impact of safety preferences on innovation effort, with the strength of this interaction varying across symmetric and asymmetric supply modes. These findings highlight the role of structural asymmetry in shaping innovation incentives and provide insights for firms and policymakers seeking to design effective supply chain governance mechanisms under rising safety concerns. Full article
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19 pages, 1809 KB  
Article
Multistage Static and Dynamic Optimization Framework for Composite Laminates in Lightweight Urban Rail Vehicle Car Bodies
by Alessio Cascino, Francesco Distaso, Enrico Meli and Andrea Rindi
Materials 2026, 19(3), 531; https://doi.org/10.3390/ma19030531 - 29 Jan 2026
Cited by 4 | Viewed by 547
Abstract
This paper presents a robust multistage optimization framework for the integration of composite laminates into the car body shell of a low-floor light rail vehicle (LRV). While structural design in low-floor vehicles is typically complex, this methodology successfully balances both static and dynamic [...] Read more.
This paper presents a robust multistage optimization framework for the integration of composite laminates into the car body shell of a low-floor light rail vehicle (LRV). While structural design in low-floor vehicles is typically complex, this methodology successfully balances both static and dynamic requirements through a sequential optimization process. Developed in strict accordance with reference European standards, the methodology addresses the structural challenges inherent in low-floor architectures, where complex load paths and redistributed equipment masses require targeted reinforcement. The proposed approach sequentially addresses dynamic and static requirements through a structural optimization process. Two distinct 10-ply laminate configurations, one symmetric and one asymmetric, were investigated. The results demonstrate that the multistage optimization successfully converged to a highly mass-efficient solution, achieving a 66% reduction in laminate thickness compared to the baseline design. This significant result was accomplished while maintaining full regulatory compliance; the failure index increased by approximately 22.5% and 23.3% for the two composite laminate configurations, respectively, effectively maximizing material utilization. A key finding of this study is the preservation of structural dynamic integrity; the fundamental natural frequency was maintained at approximately 16 Hz, with a high correlation across the first ten vibration modes, confirming that the global dynamic behaviour remains unaffected. These observations provide critical insights into the synergy between hybridization and structural constraints, suggesting a systematic pathway for designers to achieve an optimal trade-off between manufacturing costs, weight reduction, and performance in advanced urban transit platforms. Full article
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