Applied Mathematical Modelling最新文献

{"title":"3D forced vibration of a layered half-space coupled with surface rigid-base oscillators","authors":"Duo Feng ,&nbsp;Roberto Paolucci ,&nbsp;Linrong Xu ,&nbsp;Zhiqiang Lu","doi":"10.1016/j.apm.2025.116037","DOIUrl":"10.1016/j.apm.2025.116037","url":null,"abstract":"<div><div>This paper investigates the spatial steady-state responses of a system comprising a layered half-space coupled with surface oscillators to harmonic loading and the related factors through a semi–analytical framework. The proposed scheme utilizes the multiple scattering technique to reformulate the response field into associated parts described by Green's functions. The verified scheme, incorporating an averaging technique, accommodates structure properties regarding arbitrary spatial distribution and rigid base kinematic constraints. Focusing on the impacts of the presence of neighboring buildings, typical comparative investigations on a specialized layered half-space case reveal that how the geometrical and mechanical characteristics of the closely spaced structures influence the overall vibrational responses. Besides highlighting the effects of the relative location of the source and receivers on the involved Structure-Soil-Structure Interaction (SSSI), further case studies demonstrate the practical value of the proposed approach for addressing real-world engineering challenges such as the preliminary prediction and mitigation of vibrations in urban areas.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116037"},"PeriodicalIF":4.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143478658","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Stress gradient piezoelectric thermoelasticity based on nonlocal electron-phonon two-temperature thermal transport model and transient heat-shock responses analysis of multi-laminated piezoelectric composites","authors":"Chenlin Li ,&nbsp;Yuhao Wang ,&nbsp;Jiaheng Liu","doi":"10.1016/j.apm.2025.116028","DOIUrl":"10.1016/j.apm.2025.116028","url":null,"abstract":"<div><div>Thermo-electromechanical constitutive modeling and transient impact response of the piezoelectric structure are particularly important for the regulation/controlling of the vibration, energy harvesting and thermal/stress management with the extensive applications of the ultrafast laser technology in the micro-machining/processing of the piezoelectric devices. Nevertheless, the inherent spatial/temporal nonlocal effects and electron-phonon mechanism of thermal transport remain out of consideration. This work aims to establish the novel stress gradient piezoelectric thermoelasticity theory based on the nonlocal electron-phonon two-temperature thermal transport model for the first time. The new constitutive and governing equations are strictly derived by using the nonlocal free energy function and extended irreversible thermodynamics. Based on the developed model, the transient heat-shock responses of multi-laminated piezoelectric composites with the imperfect interfaces are investigated via the Laplace transformation techniques. Dimensionless numerical results reveal that the relaxation and heat flux gradient parameters in the new nonlocal electron-phonon heat transport model is capable of characterizing the faster/slower thermal wave propagation and improving/reducing the numerical levels of dynamic thermal, mechanical and electric responses, even at the interfaces. Additionally, the ability of harmful stress/thermal isolation is enhanced to some extent by adjusting elastic/thermal nonlocal parameters, material constants ratios and the imperfect interface conditions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116028"},"PeriodicalIF":4.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143527279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonconvex tensorial submodule clustering of 2-D images by mining local and global structural information","authors":"Jingyu Wang,&nbsp;Jiayi Wang,&nbsp;Tingquan Deng,&nbsp;Ming Yang","doi":"10.1016/j.apm.2025.116002","DOIUrl":"10.1016/j.apm.2025.116002","url":null,"abstract":"<div><div>Traditional subspace clustering methods convert each sample into a vector, which destroys the original spatial structure of the data and affects the clustering results. Therefore, we propose a novel submodule clustering method, NTSCLG, which twists each sample matrix and stacks them into a tensor, greatly preserving the intrinsic structure of the data. NTSCLG utilizes the <em>t</em>-product operator to generalize the traditional subspace representation to the free submodule union framework. The global structural characteristics of tensors are extracted using a nonconvex <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>q</mi></mrow></msub></math></span>-norm constraint, a symmetric uncertainty measure based on pointwise fuzzy mutual information (<em>MI</em>), a sparse <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn><mo>,</mo><mi>l</mi><mi>o</mi><mi>g</mi></mrow></msub></math></span>-norm constraint, and tensor low-rank constraint induced by log function. Notably, NTSCLG leverages tensor-based graph Laplacian local manifold regularization and the global dissimilarity matrix constructed from <em>MI</em> to enhance intra-cluster similarity and inter-cluster discrimination. Comprehensive experiments on multiple public datasets verify the effectiveness of the established NTSCLG algorithm, highlighting its superior clustering capability compared to existing methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116002"},"PeriodicalIF":4.4,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143474901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A coupled LBM-LES-DEM particle flow modeling for microfluidic chip and ultrasonic-based particle aggregation control method","authors":"Lin Li ,&nbsp;Pu Xu ,&nbsp;Qihan Li ,&nbsp;Runyuan Zheng ,&nbsp;Xiaoming Xu ,&nbsp;Jiafeng Wu ,&nbsp;Baiyan He ,&nbsp;Jiaji Bao ,&nbsp;Dapeng Tan","doi":"10.1016/j.apm.2025.116025","DOIUrl":"10.1016/j.apm.2025.116025","url":null,"abstract":"<div><div>Microfluidic chips present considerable potential in biomedical analysis and high-throughput cell separation, owing to their efficient and precise microscale flow control capabilities. In microscale channels, the highly nonlinear mechanics of vortex mixing and flow pattern evolution pose challenges to solid-liquid mass transfer modeling and particle cluster control. To address the above challenge, this paper proposes a two-phase particle flow modeling and ultrasonic-based particle aggregation control method for serpentine bionic microchannels in microfluidic chips. The particle flow dynamics model is established by coupling the lattice Boltzmann method (LBM) with the discrete element method (DEM), and integrating it with the large eddy simulation (LES) model. The LBM-LES-DEM model reveals the mixing and mass transfer mechanisms and particle distribution patterns in the serpentine channel under varying flow and particle conditions. Finally, utilizing an ultrasonic excitation strategy, the dispersion of particle distribution within the microchannels is significantly improved, and the fractal geometric dimension theory is used for quantitative characterization of the dispersion. This study demonstrates that the proposed modeling approach, combined with the ultrasonic excitation suppression strategy, effectively elucidates the mechanisms of flow field-particle mixing and mass transfer, as well as the evolution of particle flow patterns. The enhancement of turbulent characteristics in the flow field through ultrasonic excitation improves particle dispersion within the microchannels, effectively preventing particle deposition and agglomeration. Relevant results provide valuable insights into interphase interactions, cross-scale mass transfer, and particle distribution in microchannel flows, while providing technical support for optimizing mixing efficiency and dynamic processes in microfluidic chips.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116025"},"PeriodicalIF":4.4,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Role of surface tension in the thermal stress analysis of thermoelectric materials with holes","authors":"Jieyan Zhao ,&nbsp;Chuanbin Yu ,&nbsp;Haibing Yang ,&nbsp;Cunfa Gao","doi":"10.1016/j.apm.2025.116026","DOIUrl":"10.1016/j.apm.2025.116026","url":null,"abstract":"<div><div>This study investigates the mechanical behavior of a circular hole embedded in an infinite thermoelectric matrix subjected to uniform far-field current and energy flux. A weakly-conductivity surface model is employed to explore the impact of surface phonon scattering, while the complete Gurtin-Murdoch (G-M) surface model is simultaneously utilized to describe the effects of surface tension and surface elasticity. Using complex variable methods, we analytically derive the temperature and stress fields in the vicinity of the circular hole. A detailed numerical illustration for the perforated structure at small scales reveals that overall surface modulus plays a major role in determining the thermal stress field in the structure compared to surface tension, although the separate effects of surface tension on the thermal stress field would be enhanced when the surface modulus increases or a specific energy flux condition is applied. In particular, it is identified that in the case of remote energy flux applied separately, the full thermal stress field in the structure relies only on the sum of the surface modulus and surface tension (not on the specific value of each when their sum keeps a constant). The findings in the paper contribute to the understanding of the mechanical behavior of porous thermoelectric materials under complex multi-physical fields.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116026"},"PeriodicalIF":4.4,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143474902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A geometric framework for quasi-static manipulation of a network of elastically connected rigid bodies","authors":"Domenico Campolo ,&nbsp;Franco Cardin","doi":"10.1016/j.apm.2025.116003","DOIUrl":"10.1016/j.apm.2025.116003","url":null,"abstract":"<div><div>In this work, we propose a geometric framework for analyzing mechanical manipulation, for instance, by a robotic agent. Under the assumption of conservative forces and quasi-static manipulation, we use energy methods to derive a metric. In the first part of the paper, we review how quasi-static mechanical manipulation tasks can be naturally described via the so-called <em>force-space</em>, i.e. the cotangent bundle of the configuration space, and its Lagrangian submanifolds. Then, via a second order analysis, we derive the control Hessian of total energy. As this is not necessarily positive-definite, from an optimal control perspective, we propose the use of the squared-Hessian, also motivated by insights derived from both mechanics (Gauss' Principle) and biology (Separation Principle). In the second part of the paper, we apply such methods to the problem of an elastically-driven, inverted pendulum. Despite its apparent simplicity, this example is representative of an important class of robotic manipulation problems for which we show how a smooth elastic potential can be derived by regularizing mechanical contact. We then show how graph theory can be used to connect each numerical solution to ‘nearby’ ones, with weights derived from the very metric introduced in the first part of the paper.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116003"},"PeriodicalIF":4.4,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143474581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"2D vs 3D clustering of the elliptic particulates: The correlation with the percolation thresholds","authors":"Asghar Aryanfar ,&nbsp;Mahmoud Yamani ,&nbsp;William A. Goddard III","doi":"10.1016/j.apm.2025.116007","DOIUrl":"10.1016/j.apm.2025.116007","url":null,"abstract":"<div><div>We develop a continuum percolation procedure for the aggregation of the elliptic fillers in the 2 and 3-dimensional media. Given random distributions for the locus and rotations of the elements with a specified original density <em>p</em>, each medium achieves chains of elements through overlapping to achieve a connection density of <em>ρ</em>. In this regard, typically 3<em>D</em> aggregation is more efficient than 2<em>D</em> due to the possibility of additional connectivity from the in/out (i.e. depth) directions. Hence, when increasing the number of fillers the 3D percolation system experiences an early increase in the connection density <em>ρ</em>, which typically occurs in the neighborhood of the percolation threshold <span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>. We initially develop a new iterative method to compute the percolation threshold <span><math><msub><mrow><mi>p</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> in finite systems. Subsequently, we show that such early divergence between 2D-3D percolation systems is followed by a later convergence stage, as the number of fillers progressively increases. Consequently, we show, conceptually and computationally, that the maximum 2D-3D difference in the connections density <span><math><mi>Δ</mi><msub><mrow><mi>ρ</mi></mrow><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow></msub></math></span> correlates directly with the respective 2D-3D difference in the percolation thresholds <span><math><mi>Δ</mi><msub><mrow><mi>p</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span>, where a large pool of computational samples were generated by varying the aspect ratio as well as the relative scale of the particles. The results and respective analyses could be useful for the design of binary composite membranes of a specified thickness (i.e. thin<span><math><mo>→</mo><mn>2</mn><mi>D</mi></math></span>, thick<span><math><mo>→</mo><mn>3</mn><mi>D</mi></math></span>) for achieving the desired homogenized physical property.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116007"},"PeriodicalIF":4.4,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Fixed-time fault-tolerant formation-containment control for unmanned helicopters via a fully actuated system approach","authors":"Yuan Lu ,&nbsp;Ke Zhang ,&nbsp;Lihua Shen ,&nbsp;Jingping Xia","doi":"10.1016/j.apm.2025.116004","DOIUrl":"10.1016/j.apm.2025.116004","url":null,"abstract":"<div><div>This paper investigates the fixed-time fault-tolerant formation-containment control problem for unmanned helicopters (UHs) with collision and obstacle avoidance. Firstly, a high-order fully actuated system model of the UH with actuator faults is developed, which includes position and attitude subsystems. Secondly, based on the null space method, the tasks performed by multiple UHs are decomposed into collision avoidance tasks, obstacle avoidance tasks and cooperative flight tasks, and the desired trajectory is obtained by task fusion according to the priority. Then, a fixed-time disturbance observer is constructed to estimate the fault information of each UH, which is convenient for the controller to compensate for the effect of faults. With the aid of the fully actuated system approach, the fault-tolerant formation-containment controller is designed, guaranteeing that tracking errors converge to the prescribed performance range within a fixed time. Finally, the simulation results are provided to demonstrate the effectiveness of the proposed control strategy.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116004"},"PeriodicalIF":4.4,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143452912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Identification for generalized Hammerstein models with multiple switching linear dynamics","authors":"Xiaotong Xing,&nbsp;Jiandong Wang","doi":"10.1016/j.apm.2025.116001","DOIUrl":"10.1016/j.apm.2025.116001","url":null,"abstract":"<div><div>Generalized Hammerstein models are defined as a type of Hammerstein models with a specific structure, consisting of a static nonlinear submodel connected with multiple switching dynamic linear submodels. They offer a separate structured representation for the overall static gains and changing dynamic characteristics of nonlinear systems, facilitating nonlinear inverse compensation and robust controller design for efficient control. This paper proposes a method for identifying generalized Hammerstein models and measuring their modeling uncertainties. Specifically, a generalized Hammerstein model activated by multiple validity functions is established, and its optimal parameter vector is estimated by solving a nonlinear and nonconvex optimization problem. Modeling uncertainties of generalized Hammerstein models are measured by some suboptimal parameter vectors according to fuzzy set theory. These vectors have the properties that their objective function values are close to the optimal one and their simulated outputs can reproduce certain measured outputs. In numerical and experimental examples, the proposed method establishes a generalized Hammerstein model that can well describe nonlinear systems with changing dynamic characteristics, and provides accurate and compact measurements of modeling uncertainties. By contrast, existing Hammerstein model identification methods yield inaccurate results due to model structural errors.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 116001"},"PeriodicalIF":4.4,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143444665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An elastoplastic analytical method for characterizing the plastic zone around a shallow circular tunnel","authors":"Chao Wang ,&nbsp;Jinfeng Zou ,&nbsp;Yichuan Zhu ,&nbsp;Liang Li","doi":"10.1016/j.apm.2025.115999","DOIUrl":"10.1016/j.apm.2025.115999","url":null,"abstract":"<div><div>This research proposes an elastoplastic analytical method for characterizing the plastic zone around a shallow circular tunnel, based on Mohr-Coulomb yield criterion. Using conformal mapping, we transformed a semi-infinite planar region with a vertically axisymmetric hole with arbitrary shapes into an annulus with a simple boundary shape. The combined effect of the unit weight of surrounding rock and the uniform surface surcharge pressure is considered to derive the theoretical solutions for elastic stress functions of surrounding rock in a shallow circular tunnel and plastic stress components of surrounding rock based on Mohr-Coulomb yield criterion. Nonlinear equations involving the mapping function coefficients are established according to boundary stress and strain conditions at the ground surface, and stress continuity conditions at the elastic-plastic interface. These coefficients are set as design variables, and solutions are developed for elastic stress functions and plastic zone range of a shallow circular tunnel, with a newly proposed mapping function and a newly defined fitness function through differential-evolution algorithm. The rationality of the proposed method is verified by comparing to the numerical simulation results, showing improved accuracy compared to existing methods. Its engineering applicability is also verified by comparing to the field monitoring results. Finally, the main factors influencing the plastic zone around a shallow circular tunnel are characterized. The proposed method can provide theoretical support for optimizing engineering design and construction parameters, including surrounding rock stress, plastic radius, excavation depth, and radius of shallow buried tunnels.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"143 ","pages":"Article 115999"},"PeriodicalIF":4.4,"publicationDate":"2025-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143551060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}