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Keywords = method–theory coupling

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20 pages, 2583 KB  
Article
A Ball Bar Measurement Scheme with Single-Axis Rotation Modes for Position-Independent Geometric Error Identification in Dual Rotary Table Five-Axis Machine Tools
by Jinlong Zhang, Hongtao Yang and Zhaoyao Shi
Sensors 2026, 26(12), 3789; https://doi.org/10.3390/s26123789 (registering DOI) - 14 Jun 2026
Abstract
Position-independent geometric errors (PIGEs) of rotary axes are critical factors limiting the machining accuracy of five-axis machine tools. Aiming at the accurate identification of rotary-axis PIGEs for dual rotary table five-axis machine tools, this study proposes an improved double ball bar (BB) measurement [...] Read more.
Position-independent geometric errors (PIGEs) of rotary axes are critical factors limiting the machining accuracy of five-axis machine tools. Aiming at the accurate identification of rotary-axis PIGEs for dual rotary table five-axis machine tools, this study proposes an improved double ball bar (BB) measurement scheme. This scheme features excellent decoupling performance, convenient operation and high efficiency: complete error decoupling is realized via independent single-axis rotary measurement; a standard fixed-length ball bar is adopted without any auxiliary fixtures to effectively reduce setup-induced errors; a non-iterative analytical algorithm based on circular eccentricity fitting is developed to accurately identify all geometric errors of rotary axes. Based on homogeneous coordinate transformation theory and the fundamental BB measurement principle, mathematical models that correlate rotary-axis PIGEs with BB length deviations are established for four designed measurement modes. By constraining only one single rotary axis to move while fully locking all other axes during each test, the proposed method enables BB measurement data to exclusively reflect the geometric errors of the tested rotary axis, thereby fundamentally eliminating geometric error coupling induced by multiple axes. Subsequently, the correlation between PIGEs and BB length variations is quantitatively analyzed via numerical simulation. On this basis, an analytical PIGE identification strategy is developed using circular eccentricity fitting of measured BB trajectory data. Taking a typical BC-type dual rotary table five-axis machine tool as the experimental platform, all eight rotary-axis PIGEs are successfully identified and compensated. Experimental results demonstrate that the maximum positional error is reduced from 144.53 μm to 7.72 μm, achieving an overall accuracy improvement rate of 79.48%. The proposed method enables high-precision PIGE decoupling and identification, effectively improves the machining precision of five-axis machine tools, and exhibits good applicability for dual rotary table machine tools, providing a reliable alternative for geometric error identification in five-axis machining systems. Full article
(This article belongs to the Section Industrial Sensors)
29 pages, 3623 KB  
Article
Reduced-Order Nonlinear Dynamic Analysis and Lyapunov-Based Chaos Characterization of SMA Hybrid Composite Actuator Beams Under Thermo-Aeroelastic Excitation
by Fusong Jin and Jianghong Xue
Actuators 2026, 15(6), 337; https://doi.org/10.3390/act15060337 (registering DOI) - 13 Jun 2026
Abstract
This study investigates the nonlinear dynamic response and chaos evolution of a shape memory alloy hybrid composite (SMAHC) actuator beam under coupled thermal, harmonic, and aerodynamic excitations. A reduced-order nonlinear dynamic model was developed by combining Euler–Bernoulli beam theory, von Karman geometric nonlinearity, [...] Read more.
This study investigates the nonlinear dynamic response and chaos evolution of a shape memory alloy hybrid composite (SMAHC) actuator beam under coupled thermal, harmonic, and aerodynamic excitations. A reduced-order nonlinear dynamic model was developed by combining Euler–Bernoulli beam theory, von Karman geometric nonlinearity, the Brinson SMA constitutive relation, and first-order piston-theory aerodynamics. The governing equations were derived from Hamilton’s principle, discretized by the weighted residual method, and solved using the Newmark-beta algorithm. Chaotic evolution was quantified using a largest Lyapunov exponent-based chaos intensity indicator rather than the exact Kolmogorov–Sinai entropy. The reduced-order model was compared with ABAQUS finite element simulations under representative coupled aerodynamic and harmonic loading. The MATLAB prediction and ABAQUS response gave a dominant frequency of approximately 9.50 Hz, close to the prescribed excitation frequency of 9.55 Hz, with peak displacement amplitudes of approximately 0.0285 mm and 0.0324 mm, respectively. A supplementary ABAQUS modal-frequency separation check supported the use of the two-mode reduced-order model for the dominant low-frequency response, while also clarifying its limitation for high-dimensional chaotic modal interactions. The parametric results showed that an increasing excitation amplitude and aerodynamic load promoted frequency broadening and chaotic transitions. The Lyapunov-based indicator rose near γ = 65 under λ* = 100 and near λ* = 328 under γ = 30. Temperature-dependent SMA recovery stress further shifted the transition threshold by modifying the effective stiffness and internal restoring action of the beam. These results provide a reduced-order framework for interpreting nonlinear response transitions in SMAHC actuator beams in thermo-aeroelastic environments. Full article
(This article belongs to the Section Actuator Materials)
27 pages, 3581 KB  
Review
Co-Inertia Analysis in Neutrosophic Spaces: An Exploratory Bibliometric Study
by Mayra D’Armas Regnault, Purificación Vicente-Galindo and Purificación Galindo-Villardón
Appl. Sci. 2026, 16(12), 5948; https://doi.org/10.3390/app16125948 - 12 Jun 2026
Abstract
This study explores the intersection between co-inertia analysis and neutrosophic spaces through a bibliometric analysis of 259 scientific articles indexed in Scopus (1994–2025). Employing PRISMA methodology and the bibliometrix software (version 5.2.0), the temporal evolution, intellectual structure, and collaboration networks in both fields [...] Read more.
This study explores the intersection between co-inertia analysis and neutrosophic spaces through a bibliometric analysis of 259 scientific articles indexed in Scopus (1994–2025). Employing PRISMA methodology and the bibliometrix software (version 5.2.0), the temporal evolution, intellectual structure, and collaboration networks in both fields are examined. Results reveal sustained growth in scientific production since 2010, primarily concentrated in France (71 articles, 27.4% of the corpus). Stéphane Dray emerges as the most influential author with 7252 citations, while Bioinformatics leads in impact (6863 citations across 6 articles). Keyword analysis positions ‘multivariate analysis’ as the central term, articulating three clusters: ecology, multivariate statistics, and genomics. However, explicit integration between co-inertia analysis and neutrosophic theory remains incipient, located in the emerging topics zone with low centrality and density. The thematic map identifies consolidated applications in ecology (macroinvertebrates, functional traits) and development opportunities in data integration under high uncertainty. This work establishes a conceptual foundation for future research on the coupling of multivariate methods with neutrosophic frameworks in contexts of heterogeneous information and indeterminacy. Full article
(This article belongs to the Special Issue Advances in Intelligent Decision-Making Systems)
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32 pages, 5605 KB  
Article
Insights into Nonlinear Instability of a Fluid Jet Under a Tangential Periodic Magnetic Field
by Ahmad Almutlg, Galal M. Moatimid and Nada S. Gad
Mathematics 2026, 14(12), 2083; https://doi.org/10.3390/math14122083 - 11 Jun 2026
Viewed by 56
Abstract
The study is driven by its importance in modern material processing and precision engineering, where understanding and controlling interfacial stability is crucial in maintaining reliable performance across various operating conditions. The interplay between the tangential magnetic field and temporal periodicity generates additional mechanisms [...] Read more.
The study is driven by its importance in modern material processing and precision engineering, where understanding and controlling interfacial stability is crucial in maintaining reliable performance across various operating conditions. The interplay between the tangential magnetic field and temporal periodicity generates additional mechanisms of mode coupling and amplifies instability. These observations address critical shortcomings in nonlinear stability theory and suggest practical uses in flow regulation and the control of conductive fluids. The fluids are assumed as Eyring–Powell non-Newtonian and flow with uniform velocities through porous media. The analysis is conducted using a non-perturbative method that relies mainly on He’s frequency formulation. To facilitate the mathematical treatment, viscous potential theory is adopted. The governing linear partial differential equations describing the flow are then solved under nonlinear boundary conditions, resulting in a nonlinear characteristic equation that represents the displacement of the interface. A non-dimensional procedure is then applied to extract the key dimensionless physical parameters influencing the system behavior. A set of graphical results is provided to demonstrate how the system’s stability behavior is influenced by changes in the key dimensionless physical parameters. The validation of the innovative process is achieved using Mathematica Software. The study considers both uniform and periodically varying magnetic fields, and the associated stability conditions are evaluated for each case, where the impacts of various non-dimensional attributes are assessed. As density ratio increases, it stabilizes periodic magnetic fields while destabilizing uniform ones. A stronger MF enhances magnetic damping, reducing instability regions and promoting stable periodic interfacial motion. Enhanced conductivity improves Magnetohydrodynamic interactions, resulting in greater energy dissipation and stability. Full article
(This article belongs to the Section E: Applied Mathematics)
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21 pages, 1633 KB  
Article
Impacts of Cascade Hydropower Development on Aquatic Ecosystems in the Middle Jinsha River Basin: A DPSIR-Based Ecological Risk Assessment
by Xiaorong He, Huihuang Luo, Zhen Feng, Bing Liu, Xueqian Wang, Yuling Huang, Tianbao Xu and Qingrui Yang
Water 2026, 18(12), 1406; https://doi.org/10.3390/w18121406 - 9 Jun 2026
Viewed by 194
Abstract
Cascade hydropower alters river hydrological regimes and threatens aquatic ecosystems, calling for robust ecological risk assessment (ERA). Conventional assessments often rigidly apply the full five-layer Driving Force–Pressure–State–Impact–Response framework, leading to indicator redundancy and unbalanced weighting. Single weighting methods also fail to reconcile expert [...] Read more.
Cascade hydropower alters river hydrological regimes and threatens aquatic ecosystems, calling for robust ecological risk assessment (ERA). Conventional assessments often rigidly apply the full five-layer Driving Force–Pressure–State–Impact–Response framework, leading to indicator redundancy and unbalanced weighting. Single weighting methods also fail to reconcile expert judgment with data variability. To address these issues, we developed a three-layer (target–element–indicator) evaluation system embedding DPSIR logic without its full structure, focusing on hydrological regime, water environmental quality, and aquatic ecology with ten indicators. We used an improved group AHP-CRITIC coupling method for weighting: AHP aggregates expert judgments via geometric mean, and CRITIC integrates data variability and inter-indicator conflict. Multi-attribute utility theory normalized indicators into a unified security index, applied to four cascade stations in the middle Jinsha River using 66-year (1953–2018) hydrological and seven-year (2013–2019) in situ monitoring data. The evaluation obtained a comprehensive index of 0.71 to 0.74, which is generally safe. River connectivity loss was the primary limiting factor. Hydrological alteration was mild overall with a value of 0.139, while extreme flow decline rate variation reached a high level of 0.83. Weekly regulated stations achieved over 97% ecological flow guarantee, which is much higher than daily regulated stations. This streamlined framework improves interpretability for cascade basins and supports sustainable watershed management. Full article
(This article belongs to the Special Issue Impact of Environmental Factors on Aquatic Ecosystem, 2nd Edition)
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97 pages, 60482 KB  
Review
Advances in the Dynamics of Pipes Conveying Fluids: A Review
by Tamer A. El-Sayed, Moustafa S. Taima, Fady E. Shoukry and Mohamed M. Z. Ahmed
Vibration 2026, 9(2), 40; https://doi.org/10.3390/vibration9020040 - 8 Jun 2026
Viewed by 110
Abstract
Pipes conveying fluids are important fluid–structure interaction systems encountered in aerospace, energy, marine, and industrial applications. Their dynamic behavior is strongly influenced by the interaction between structural motion and internal or external flow, leading to complex phenomena such as divergence, flutter, and flow-induced [...] Read more.
Pipes conveying fluids are important fluid–structure interaction systems encountered in aerospace, energy, marine, and industrial applications. Their dynamic behavior is strongly influenced by the interaction between structural motion and internal or external flow, leading to complex phenomena such as divergence, flutter, and flow-induced vibration. This review presents a comprehensive assessment of the dynamics and stability of pipes conveying fluids by integrating classical theories with recent developments in modeling, computation, materials, and control. The review covers mathematical formulations based on Euler–Bernoulli, Rayleigh, Timoshenko, and shell theories, together with analytical and numerical solution methods used for stability and vibration analysis. The effects of geometry, boundary conditions, flow configuration, damping, and material properties on dynamic response and instability thresholds are discussed. Special attention is given to composite, viscoelastic, functionally graded, and smart materials, as well as micro- and nanoscale pipe systems. Recent advances in vibration suppression, reduced-order modeling, machine learning, and physics-informed computational approaches are also reviewed. Finally, the paper identifies current challenges and future research directions, including multiphysics coupling, experimental validation, digital twins, and AI-assisted predictive modeling for fluid-conveying pipe systems. Full article
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28 pages, 5696 KB  
Article
Discrete Bar-Chain Model for Aeroelastic Stability Analyses of Flexible Slender Thin Wings in Subsonic Flow at Low Speed
by Marco Berci
Appl. Sci. 2026, 16(11), 5687; https://doi.org/10.3390/app16115687 - 5 Jun 2026
Viewed by 209
Abstract
A novel semi-analytical computational approach is formulated and assessed for the dynamic aeroelastic stability analysis of flexible slender thin wings in incompressible flow, which can boost the preliminary airframe design and optimisation of lightweight aircraft, offering both theoretical and practical insights. Hencky’s bar-chain [...] Read more.
A novel semi-analytical computational approach is formulated and assessed for the dynamic aeroelastic stability analysis of flexible slender thin wings in incompressible flow, which can boost the preliminary airframe design and optimisation of lightweight aircraft, offering both theoretical and practical insights. Hencky’s bar-chain model is explicitly adopted as a discrete numerical implementation of the Euler–Bernoulli continuous beam idealisation for the flexible wing structure and its deformation, resulting in a linear system of coupled ordinary differential equations for its bending and torsion dynamics. Modified strip theory is employed for the unsteady sectional airload, where approximate yet effective analytical expressions are efficiently adopted for its build-up and distribution, combining two- and three-dimensional effects in subsonic potential flow. Once the natural vibration modes of the wing are obtained from its physical model, a reduced set is selected, and a modal approach is then employed to perform its aeroelastic stability analysis with either “p-k” or “p” method, depending on the aerodynamic model. Numerical results from such a reduced-order model are critically assessed for the flutter analysis of Goland’s, Loring’s, and Pazy wings and demonstrate excellent agreement with literature results for two- and three-dimensional airflow, also for the case of the swept wing. Full article
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22 pages, 6176 KB  
Article
Efficient Buckling Analysis of Thin-Walled Composite Beams with Symmetric and Unsymmetric Layups Using a GBT–Ritz Approach
by Navid Kharghani and Christian Mittelstedt
J. Compos. Sci. 2026, 10(6), 307; https://doi.org/10.3390/jcs10060307 - 4 Jun 2026
Viewed by 334
Abstract
Thin-walled composite beams with unsymmetric laminates are attracting increasing attention in lightweight aerospace and mechanical structures because they enable enhanced stiffness tailoring and weight reduction beyond the limitations of conventional symmetric stacking sequences. However, despite their practical relevance, unsymmetric thin-walled laminates have received [...] Read more.
Thin-walled composite beams with unsymmetric laminates are attracting increasing attention in lightweight aerospace and mechanical structures because they enable enhanced stiffness tailoring and weight reduction beyond the limitations of conventional symmetric stacking sequences. However, despite their practical relevance, unsymmetric thin-walled laminates have received comparatively limited attention in the available buckling literature due to the additional complexity introduced by membrane–bending coupling effects. This study presents an efficient and physically transparent formulation for the buckling analysis of thin-walled composite beams with both symmetric and unsymmetric layups by combining Generalized Beam Theory (GBT) with the Ritz method. The proposed GBT-Ritz framework captures global, local, distortional, torsional, and shear-related deformation modes while consistently incorporating laminate coupling effects associated with unsymmetric configurations. The formulation is applicable to open, closed, branched, and unbranched cross-sections commonly encountered in aerospace structures. Validation against ABAQUS V2017 shell finite element models demonstrates excellent agreement (with discrepancies generally below 6%) in predicting critical buckling loads and mode shapes for various geometries and boundary conditions. The results show that unsymmetric laminates can significantly influence buckling behavior, particularly in open sections and intermediate beam lengths where coupling effects become dominant. Compared with conventional finite element approaches, the proposed method achieves substantially lower computational cost (providing speed-up factors of 1.5 to 2.5) while preserving clear physical insight into interacting instability mechanisms. Overall, the developed framework provides an efficient and practically relevant tool for the analysis and design of advanced thin-walled composite structures with tailored unsymmetric laminates. Full article
(This article belongs to the Special Issue Composite Thin-Walled Structures: Stability and Damage)
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28 pages, 1148 KB  
Article
Stabilization of Hybrid Stochastic McKean–Vlasov Differential Equations by Feedback Control Based on Discrete-Time State Observation
by Pengfei Zhao, Haiyan Yuan and Kechao Wang
Mathematics 2026, 14(11), 1941; https://doi.org/10.3390/math14111941 - 2 Jun 2026
Viewed by 101
Abstract
This paper addresses the stabilization problem of hybrid stochastic McKean–Vlasov differential equations via a discrete-time state observation feedback control strategy. Utilizing the coupling method and particle system approximation, Itô’s formula for Markovian switching stochastic McKean–Vlasov differential equations is established. Based on the derived [...] Read more.
This paper addresses the stabilization problem of hybrid stochastic McKean–Vlasov differential equations via a discrete-time state observation feedback control strategy. Utilizing the coupling method and particle system approximation, Itô’s formula for Markovian switching stochastic McKean–Vlasov differential equations is established. Based on the derived formula, we construct two novel Lyapunov functionals that incorporate state processes, probability distributions, and Markovian switching signals. Using the proposed Lyapunov functionals, we further analyze three stability properties of the closed-loop system, including H stability, asymptotic stability, and mean-square exponential stability. Due to the time-varying characteristics of system distributions, numerical simulation lacks fixed reference benchmarks and faces considerable difficulties. To overcome this challenge, this paper introduces a particle system approximation scheme. We further prove the exponential stability equivalence between the controlled McKean–Vlasov system and its corresponding particle system. This equivalence relation provides an effective new approach for the stability analysis of such controlled hybrid stochastic systems. Finally, an illustrative example is given to verify our theory results. Full article
(This article belongs to the Special Issue Advanced Filtering and Control Methods for Stochastic Systems)
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27 pages, 9832 KB  
Article
Quantum-Verified Environmental Sensing: Integrating Atmospheric Data into Sustainable Finance
by Ahmed Adjal, Venera-Stanca Nicolici, Eugenia Grecu and Ioana Ionel
Sustainability 2026, 18(11), 5552; https://doi.org/10.3390/su18115552 - 1 Jun 2026
Viewed by 206
Abstract
This research paper addresses the persistent problem of environmental opacity in sustainable debt markets, exposing a structural flaw that incremental regulation alone cannot remedy. This study advances a radical, physics-grounded solution that fundamentally transforms environmental reporting from voluntary self-disclosure to instrumentally verified, quantum-limited [...] Read more.
This research paper addresses the persistent problem of environmental opacity in sustainable debt markets, exposing a structural flaw that incremental regulation alone cannot remedy. This study advances a radical, physics-grounded solution that fundamentally transforms environmental reporting from voluntary self-disclosure to instrumentally verified, quantum-limited measurement. The method integrates three mutually reinforcing analytical frameworks: the design of Quantum-Verified Green Bonds (QVGBs), the application of cryptographic quantum key distribution (QKD), and the formal apparatus of financial contract theory. The principal conceptual innovation resides in a three-tiered architectural structure—physical, cyber–physical, and financial—that collectively shifts the epistemological foundation of sustainable finance from institutional norms and managerial discretion to the immutable constraints of physical laws. By deploying nitrogen-vacancy (NV) centers in diamond as primary sensing arrays at industrial emission points, this system achieves environmental parameter estimation bounded by the Cramér–Rao quantum limits, a precision ceiling governed by Quantum Fisher Information, not corporate policy. This architecture acquires high-fidelity, real-time data on CO2 and CH4 flux densities, transforming atmospheric pollutant concentrations into physically attested, contractually actionable financial variables. A QKD layer further leverages the no-cloning theorem to render any upstream data manipulation physically self-revealing through statistically detectable elevations in the Quantum Bit Error Rate (QBER). The central contribution of this work lies in the algorithmic coupling of bond coupon structures to these quantum-verified state variables, enforced via smart contracts, thereby converting “environmental misinformation” from a viable managerial strategy into a strictly dominated equilibrium outcome. These findings carry substantial implications for bridging the “trust gap” in green financial markets, a gap sustained by chronically undervalued transition risks and deficient accountability mechanisms in air quality and carbon reporting. The QVGB framework stabilizes green asset prices by subordinating capital allocation decisions to physical constraints rather than political or institutional ones, thereby establishing a new ontological baseline for the global sustainable debt market. Full article
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25 pages, 9232 KB  
Article
Local Instability and Optical-Serviceability Failure Mechanisms of Cold-Bent Triangular Tempered Glass Plates with Discrete Point Supports
by Xiufeng Wu, Zhiyuan Zhang, Peng Ji, Zhenlin Jing, Yufan Yuan, Hui Zhan and Yingli Xiao
Buildings 2026, 16(11), 2176; https://doi.org/10.3390/buildings16112176 - 29 May 2026
Viewed by 223
Abstract
Cold bending provides a cost-effective method for fabricating triangular glass units for free-form architectural envelopes. Replacing conventional continuous edge constraints with discrete point clamps reduces over-constraint but introduces pronounced bending–membrane coupling in the unsupported spans between adjacent clamps. Consequently, the mechanisms governing local [...] Read more.
Cold bending provides a cost-effective method for fabricating triangular glass units for free-form architectural envelopes. Replacing conventional continuous edge constraints with discrete point clamps reduces over-constraint but introduces pronounced bending–membrane coupling in the unsupported spans between adjacent clamps. Consequently, the mechanisms governing local instability and optical-quality degradation remain insufficiently understood. In this study, cold-bending tests were performed on isosceles triangular fully toughened glass plates to measure out-of-plane deflection and surface-strain evolution. The experimental data were then used to establish and validate an Abaqus finite element model for systematic parametric analysis. Based on von Kármán’s large-deflection theory, a semi-empirical reduced-order framework that combines modal superposition with the response-surface method was developed to identify instability-sensitive configurations. The results show that, under weak constraints and large vertex angles, the panel response changes from a bending-dominated regime to a strongly nonlinear large-deflection regime governed by membrane effects; this transition is marked by a reversal of mid-span deflection and a compressive-to-tensile stress transition. Increasing the number of clamps from two to four substantially suppresses both global and local distortion by shortening the free spans and redistributing membrane strain energy, reducing peak mid-span deflection by 47–68%, and satisfying the EN 12150-1 limits for both bow deformation and local distortion. The height-to-base ratio is the dominant geometric parameter controlling instability. Under two-point support, a critical response turning point occurs at a height–base ratio of approximately 0.5 before the material fracture limit is reached, defining a geometric boundary below which optical serviceability failure accelerates. These findings provide a theoretical basis and quantitative engineering guidance for optimizing the cold-bending process of isosceles triangular fully toughened glass plates. Full article
(This article belongs to the Special Issue Reliability and Risk Assessment of Building Structures)
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21 pages, 4997 KB  
Article
Simulation Study on Piezoelectric Detection Performance of Sensors Based on PMN-PT for Interface Damage of CFRP–Steel Plates
by Tianhe Zhang, Lele He, Xu Wang, Youjia Zhang, Shuqin Zheng and Bin Fu
Buildings 2026, 16(11), 2174; https://doi.org/10.3390/buildings16112174 - 28 May 2026
Viewed by 441
Abstract
The reliable evaluation of the interfacial bonding quality of steel structures strengthened with carbon fiber-reinforced polymer (CFRP) is crucial to ensuring the long-term service safety of the structures. Focusing on the active and passive detection methods based on piezoelectric sensing, this paper takes [...] Read more.
The reliable evaluation of the interfacial bonding quality of steel structures strengthened with carbon fiber-reinforced polymer (CFRP) is crucial to ensuring the long-term service safety of the structures. Focusing on the active and passive detection methods based on piezoelectric sensing, this paper takes numerical simulation as the core research method to provide theoretical verification and mechanism explanation for subsequent key experiments, thus supporting the accurate detection of interfacial damage in CFRP–steel plate joints. A 3D piezoelectric–structural coupling finite element model and a 2D ultrasonic guided wave propagation finite element model were established via COMSOL Multiphysics 6.2 to systematically simulate the electromechanical response characteristics of three piezoelectric sensors (PMN-PT, PZT and PVDF). The research focused on analyzing the potential output and voltage–load response of the three sensors, and simultaneously explored the propagation laws and energy evolution mechanisms of ultrasonic waves in the presence of different debonding damages and groove defects in CFRP plates. The simulation results show that the PMN-PT sensor exhibits the optimal detection performance, with its peak potential output reaching 2.66 times that of the PZT sensor and 4.69 times that of the PVDF sensor, with a load sensitivity of 484.3 mV/kN. In the ultrasonic active detection of interfacial debonding damage, the first-wave amplitude has a significant positive correlation with the debonding length, and this characteristic is attributed to the strong reflection effect and energy accumulation caused by the acoustic impedance mismatch at the CFRP–air interface. For the internal groove defects in CFRP plates, the simulation clarifies that the increase in groove length leads to energy trapping in the plate, while the increase in groove depth intensifies ultrasonic wave energy reflection. The numerical simulation results were compared and verified with data from companion experiments conducted by the authors’ team, showing a high degree of consistency, which confirms the accuracy and reliability of the established finite element models. Meanwhile, the physical essence of damage detection is elucidated from the perspective of wave theory, providing a solid numerical analysis foundation and theoretical support for the intelligent monitoring of interfacial damage in CFRP–steel structures. Full article
(This article belongs to the Section Building Structures)
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28 pages, 5262 KB  
Article
Towards High-Quality Urban–Rural Integration: Coupling Mechanisms and Optimisation Paths of Rural Revitalisation and New Urbanisation in China from the Perspective of Systems Theory
by Xiangman Chen and Xuezhou Liu
Sustainability 2026, 18(11), 5402; https://doi.org/10.3390/su18115402 - 27 May 2026
Viewed by 346
Abstract
To resolve severe urban–rural contradictions and promote urban–rural integration (URI), China successively implements two national strategies: new urbanisation (NU) and rural revitalisation (RR). In Economic Geography, the URI system is one type in the human–earth interaction system, composed of urban and rural areal [...] Read more.
To resolve severe urban–rural contradictions and promote urban–rural integration (URI), China successively implements two national strategies: new urbanisation (NU) and rural revitalisation (RR). In Economic Geography, the URI system is one type in the human–earth interaction system, composed of urban and rural areal subsystems, and RR and NU are its two strategic driving elements. This study aims to reveal the intrinsic logic behind how RR and NU synergistically optimise the URI system’s operation and drive its evolution towards high-quality development. Combining analysis methods and synthesis methods in systems theory, this study clarifies the connotations of RR, NU, and their five complementary sub-dimensions in industry, ecology, society, space, and economy, and fully elucidates the coupling mechanisms of RR and NU, using specific cases of URI worldwide as illustrative examples. The coupling mechanisms of RR and NU include two parts: the coupling mechanisms in the above five aspects, respectively, and the cross-fusion relationships among these aspects. The coupling mechanisms reflect the dynamic process of RR and NU mobilising various other elements to optimise the URI system’s operation and evolution. Holding the systematic concept that city and village are originally a unity, three paths of dissolving the main obstacles to URI and promoting high-quality URI are proposed: reforming institutions that hinder the free flow of urban–rural factors, achieving broader and deeper urban–rural industry integration, and improving rural public service supply levels. This study constructs a theoretical framework for understanding the URI system’s driving mechanisms and evolution logic, enriching the content of URI system theory and providing implications and a reference for evaluating URI quality and formulating policies for improving URI quality. Full article
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24 pages, 5690 KB  
Article
Bending Performance of Steel–Concrete Composite I-Beam with Corrugated Steel Web Under Thermo-Mechanical Coupling
by Jia Liu, Zheng Yang, Jiandong Zhang, Aiguo Zhao and Peng Wu
Buildings 2026, 16(11), 2142; https://doi.org/10.3390/buildings16112142 - 27 May 2026
Viewed by 251
Abstract
An analytical model is developed to investigate the bending performance of composite I-beams with corrugated steel web (CSW) under thermo-mechanical coupling. The CSW is idealized as an equivalent orthotropic plate according to the principle of stiffness equivalence and heat conservation. The steady-state temperature [...] Read more.
An analytical model is developed to investigate the bending performance of composite I-beams with corrugated steel web (CSW) under thermo-mechanical coupling. The CSW is idealized as an equivalent orthotropic plate according to the principle of stiffness equivalence and heat conservation. The steady-state temperature field of the composite I-beam cross-section is obtained using the finite difference method. Based on thermoelastic theory, analytical solutions for the stresses and displacements of the composite beam subjected to thermo-mechanical loads are derived by the eigenvalue method and transfer matrix method. The results obtained in this study are compared with available experimental results from a steel–concrete composite bridge deck, ABAQUS (version: 2023) finite element simulations, and the temperature distributions specified by JTG D60-2015, AASHTO 2017 and DIN 101. In addition, the superposition principle for thermo-mechanical conditions is verified by the analytical forms of stress and displacement solutions. And the research results show that increasing interfacial stiffness restrains the relative thermal deformation between the concrete slab and the steel I-beam, thereby increasing temperature-induced stresses and deformations. Finally, a partial thermal insulation method is proposed to mitigate temperature gradients, thermal stresses and upward thermal deformation, thereby improving the service performance of the composite beam under thermal actions. Full article
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35 pages, 18001 KB  
Article
Mechanism of Ultra-Low-Speed Smoothness in Ultrasonic Motors Based on a Macro-Micro Multi-Scale Finite Element Model
by Weijun Zeng, Tong Xie, Qiaoliang Peng, Hengyu Zhang, Yifan Jiang and Lin Yang
Micromachines 2026, 17(6), 659; https://doi.org/10.3390/mi17060659 - 26 May 2026
Viewed by 273
Abstract
The conventional microstepping driving method suffers from significant periodic speed oscillations under ultra-low-speed conditions, which fail to meet the stringent demand for smooth operation of ultrasonic motors in semiconductor packaging. Most existing theories and simulations of ultrasonic motors adopt a macroscopic mechanical perspective; [...] Read more.
The conventional microstepping driving method suffers from significant periodic speed oscillations under ultra-low-speed conditions, which fail to meet the stringent demand for smooth operation of ultrasonic motors in semiconductor packaging. Most existing theories and simulations of ultrasonic motors adopt a macroscopic mechanical perspective; after extensive linearization and idealization, they can only provide preliminary mechanism analysis and fail to achieve precise quantitative computation. Moreover, they neglect critical factors such as the microstructure of contact surfaces, preload distribution, and vibration mode transmission, making it difficult to reflect the true characteristics of the motor—including strong nonlinearity, multiphysics coupling, and complex interface behavior—resulting in considerable discrepancies between theory and experiment. In this paper, a macro-micro multi-scale finite element model of a traveling-wave ultrasonic motor is established using ADINA and HyperMesh, fully accounting for the strong nonlinearity and multiphysics coupling effects. Based on the ultrasonic friction reduction theory and the beat traveling wave mechanism, the stator deformation, interface zoning characteristics, and torque output of the superimposed pulse driving method and the microstepping driving method are systematically compared. The simulated stator mode shapes are validated by laser scanning vibrometry experiments, and multiple speed tests ranging from 200 to 320 arcsec/s are conducted. Simulation results show that at a target speed of 900 arcsec/s, the superimposed pulse driving method reduces the speed fluctuation rate from 228% to 32%. Experimental results confirm that the speed fluctuation rate of the superimposed pulse driving method is consistently much lower than that of the microstepping driving method across the entire tested speed range. This study reveals the low-speed smooth operation mechanism of the superimposed pulse driving method, characterized by single-peak dominance and smooth alternation between the driving and braking zones, thereby fundamentally overcoming the inherent shortcomings of the traditional microstepping driving method. The proposed model can effectively replace costly direct interface measurements, providing a new method and reference for ultra-low-speed precision control of ultrasonic motors and for investigating the driving mechanisms of similar motors. Full article
(This article belongs to the Section E:Engineering and Technology)
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