Applied Mathematical Modelling最新文献_第9页

Dimension-reduction method for analysis of vaccination evolution with dynamic risk perception during epidemics 流行病期间具有动态风险感知的疫苗接种演变分析的降维方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-25 DOI: 10.1016/j.apm.2025.116380

Yanyi Nie , Tao Lin , Wei Wang

引用次数: 0

Reliability and cost-effectiveness optimization of G-systems with preventive maintenance strategy and unreliable repairman 采用预防性维护策略和不可靠维修人员对g系统进行可靠性和成本效益优化

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-23 DOI: 10.1016/j.apm.2025.116387

Chia-Huang Wu , Yin-Ying Dai , Dong-Yuh Yang

{"title":"Reliability and cost-effectiveness optimization of G-systems with preventive maintenance strategy and unreliable repairman","authors":"Chia-Huang Wu , Yin-Ying Dai , Dong-Yuh Yang","doi":"10.1016/j.apm.2025.116387","DOIUrl":"10.1016/j.apm.2025.116387","url":null,"abstract":"<div><div>This paper presents a comprehensive analysis of a repairable <<em>k</em><sub>1</sub>, <em>k</em><sub>2</sub>>-out-of-<em>n</em>: G system comprising two distinct component types and a single unreliable repairman. We develop both availability and reliability models to assess the system performance under realistic repair constraints. For the availability model, the matrix-analytical method is employed to derive the steady-state probability distribution. Key performance indicators, including system availability and other critical metrics, are systematically obtained to characterize long-term system behavior. For the transient reliability analysis, we investigate four numerical methods: the Runge-Kutta method, the Laplace transform method, the eigenvalue-based method, and the matrix exponential method. Through extensive numerical experiments, we compare their accuracy and reveal notable drawbacks in terms of stability and scalability. The comparative results show the numerical instability issue of the eigenvalue-based method, and thus, the Laplace transform method is selected to derive the mean time to failure. A sensitivity analysis is then conducted to explore the impact of key parameters and demonstrate that component failure rates impact the system reliability more than service rates. We further introduce a cost-effectiveness model, combining the steady-state availability with the associated cost. The particle swarm optimization algorithm is applied to determine the optimal recovery rates under different system configurations. Finally, the role of preventive maintenance in enhancing the cost-effectiveness ratio is inspected.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116387"},"PeriodicalIF":4.4,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144921426","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}

引用次数: 0

A thermal-mechanical coupling modeling with imperfect interfaces: Transition from ballistic to diffusive heat transfer 具有不完全界面的热-力学耦合模型：从弹道传热到扩散传热的转变

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-22 DOI: 10.1016/j.apm.2025.116361

Weiqiang Ding, Tao Xue, Xiaobing Zhang

{"title":"A thermal-mechanical coupling modeling with imperfect interfaces: Transition from ballistic to diffusive heat transfer","authors":"Weiqiang Ding, Tao Xue, Xiaobing Zhang","doi":"10.1016/j.apm.2025.116361","DOIUrl":"10.1016/j.apm.2025.116361","url":null,"abstract":"<div><div>This paper proposes a generalized thermo-mechanical coupling model to analyze stress distribution in multilayer composites driven by cross-scale heat transfer. The Cattaneo-Fourier (C-F) heat flux model and its associated thermoelastic constitutive framework are revisited within the Green-Lindsay formalism, incorporating transition scales from ballistic to diffusive heat transfer. The resulting thermoelastic formulation predicts thermal stress evolution in layers of varying thicknesses, while the Kapitza thermal interface is modeled as a time-independent algebraic constraint on adjacent interfacial stress. Consequently, the proposed generalized model forms a differential-algebraic system, solved numerically via a fully implicit time integration scheme. Numerical simulations demonstrate the model's accuracy in capturing coupled temperature-mechanical field effects during cross-scale heat transfer, including purely ballistic, ballistic-diffusive, and purely diffusive regimes, as well as perfect and imperfect thermal interfaces. Additionally, a case study of a cracked plate investigates thermoelastic responses under coexisting cracks and imperfect interfaces, revealing temperature-stress evolution dynamics. This computational framework advances theoretical analysis of cross-scale thermo-mechanical coupling in composites, highlighting the critical roles of interfacial effects and heat transfer mechanisms in material behavior.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116361"},"PeriodicalIF":4.4,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144896741","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}

引用次数: 0

A novel framework for 4D UAV swarm path planning 一种新的四维无人机群路径规划框架

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-22 DOI: 10.1016/j.apm.2025.116383

Gang Hu , Peidong He , Mahmoud Abdel Salam , Guo Wei

{"title":"A novel framework for 4D UAV swarm path planning","authors":"Gang Hu , Peidong He , Mahmoud Abdel Salam , Guo Wei","doi":"10.1016/j.apm.2025.116383","DOIUrl":"10.1016/j.apm.2025.116383","url":null,"abstract":"<div><div>UAVs (Unmanned Aerial Vehicles) have gained popularity in agricultural monitoring and military strikes due to their efficiency, flexibility, and affordability. However, achieving autonomic flight for UAVs still faces challenges. We make innovative adjustments in three aspects: environment modeling, path planning process, and path generator. Combine the advantages of the Global Path Search Algorithm and Local Path Search Algorithm, then design a large-scale UAV swarm path planning algorithm based on Plan Separation and Consolidation Method. We use many hybrid models to re-model the various environmental elements, which solves the weakness of the \"combination explosion\" and the inability to balance the various practical needs when extending the 2D grid method to 3D space. The Plan Separation and Consolidation Method separates the path planning problem of large-scale UAV swarms both in the time dimension and the dimension of the individuals of UAVs, and then consolidates the planning problems through temporary static obstacle regions, which utterly eliminates the \"curse of dimensionality\" in the planning process of large-scale UAV swarms, and provides a new opportunity for the autonomous control and parallelization of UAV swarms. We design a new local path evaluator and an enhanced Differentiated Creative Search algorithm to generate approximately optimal local paths quickly and accurately. We validate the effectiveness of the Plan Separation and Consolidation Method process and path generation method through a large number of repetitive experiments. Supplementary materials and related code can be downloaded at <span><span>https://ogi.teracloud.jp/share/1202e180fd6a0c09</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116383"},"PeriodicalIF":4.4,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144912090","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}

引用次数: 0

Model-free approach for inferring residence time distribution and its applications 推断停留时间分布的无模型方法及其应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-22 DOI: 10.1016/j.apm.2025.116401

Jehyeok Choi , Jungmin Tak , Minsun Hwang , Seon Yeop Jung , Kwang Soo Cho

{"title":"Model-free approach for inferring residence time distribution and its applications","authors":"Jehyeok Choi , Jungmin Tak , Minsun Hwang , Seon Yeop Jung , Kwang Soo Cho","doi":"10.1016/j.apm.2025.116401","DOIUrl":"10.1016/j.apm.2025.116401","url":null,"abstract":"<div><div>Residence Time Distribution (RTD) is an important concept for optimizing chemical processes, but conventional RTD studies have limitations, such as being sensitive to experimental errors, oversimplifying the system, or being computationally expensive. This study proposes a novel numerical algorithm that accurately and robustly computes the RTD based on data points without assuming any predetermined model. The proposed method employs B-spline regression analysis with fixed-point iteration (FPI), a technique commonly used in the field of rheology to calculate the relaxation time spectrum. Our algorithm estimates accurate RTDs using B-spline regression analysis and guarantees non-negative RTD values using the FPI method. We use simulation data, both error-free and error-included, to verify the optimal conditions of the algorithm. We identify the optimal conditions of the algorithm, confirming that it can accurately compute RTDs regardless of the shapes of the input function and the RTD. Through experimental and CFD data, we verify that the algorithm computes consistent RTDs regardless of the input function when sufficient data are provided. Our RTD calculation algorithm can calculate RTD regardless of any input data and does not use a predefined model, so it is expected to be effectively utilized in RTD analysis of complex systems such as twin-screw extruders, stirred tank reactors, and pharmaceutical manufacturing systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116401"},"PeriodicalIF":4.4,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144898339","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}

引用次数: 0

Dual-domain low-rank tensor completion for traffic data recovery 交通数据恢复的双域低秩张量补全

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-21 DOI: 10.1016/j.apm.2025.116404

Xiaobo Chen, Nan Xu, Kaiyuan Wang

{"title":"Dual-domain low-rank tensor completion for traffic data recovery","authors":"Xiaobo Chen, Nan Xu, Kaiyuan Wang","doi":"10.1016/j.apm.2025.116404","DOIUrl":"10.1016/j.apm.2025.116404","url":null,"abstract":"<div><div>Complete traffic data plays an indispensable role in intelligent transportation network management that has great potential to improve traffic safety and alleviate road congestion. However, due to the malfunctions in sensing devices or communication networks, missing data phenomena are ubiquitous in the real world and thus pose formidable challenges to network management. Recent studies successfully exploit a low-rank property of traffic tensor data for missing data recovery. However, they focus on either original domain or transformed domain, which may not suffice to exploit abundant tensor structure information. To contend with this problem, this article proposes a novel dual-domain nonconvex low-rank tensor completion to simultaneously take advantage of the low-rankness of traffic data tensor in both original domain and transformed domain. Specifically, we first devise two nonconvex tensor norms that not only characterize the global low-rank property in both domains but also capture the multi-dimensional correlation along different modes. Then, we further incorporate the local temporal consistency as regularization to leverage the intrinsic temporal continuity. By doing so, our model comprehensively leverages the global low-rankness and local temporal property. To solve the proposed model, following the alternating direction method of multipliers framework, we develop an efficient iterative algorithm and analyze the computational complexity. Numerous experiments on real-world datasets under diverse missing patterns and missing ratios verify the superiority of our algorithm over some leading baseline methods.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116404"},"PeriodicalIF":4.4,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144898378","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}

引用次数: 0

Fractures and thin heterogeneities as Robin-Wentzell interface conditions Robin-Wentzell界面条件下的裂缝和薄非均质性

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-21 DOI: 10.1016/j.apm.2025.116355

Marco Favino

{"title":"Fractures and thin heterogeneities as Robin-Wentzell interface conditions","authors":"Marco Favino","doi":"10.1016/j.apm.2025.116355","DOIUrl":"10.1016/j.apm.2025.116355","url":null,"abstract":"<div><div>We formally derive suitable conditions for modeling thin inclusions as interfaces within heterogeneous diffusion problems formulated in the form of the divergence of a flux. Integration of the governing equations across the aperture of the thin inclusion yields interface conditions of Wentzell type for the flux jump and Robin type for the flux average. The condition on the flux jump involves an unconventional tangential diffusion operator applied to the average of the solution across the interface. The corresponding weak formulation is introduced, providing a framework that is readily applicable to finite element discretizations.</div><div>Extensive numerical validation against well-established benchmark problems demonstrates that this novel modeling technique can handle strong contrasts in material properties between inclusions and their embedding background, as is typical of flow problems in fractured porous media. In addition, numerical tests not only show that the proposed approach can naturally accommodate complex networks of thin inclusions, without the need for their explicit geometric representation, but also that it can accurately describe fractures with variable aperture.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116355"},"PeriodicalIF":4.4,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144898376","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}

引用次数: 0

MRI reconstruction via manifold constrained low rank regularization 基于流形约束的低秩正则化的MRI重构

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-21 DOI: 10.1016/j.apm.2025.116382

Jianxin Cao , Shujun Liu , Hongqing Liu , Shengdong Hu

{"title":"MRI reconstruction via manifold constrained low rank regularization","authors":"Jianxin Cao , Shujun Liu , Hongqing Liu , Shengdong Hu","doi":"10.1016/j.apm.2025.116382","DOIUrl":"10.1016/j.apm.2025.116382","url":null,"abstract":"<div><div>Low rank property of a group constructed by similar patches has been exploited in compressed sensing magnetic resonance imaging (CS-MRI). However, current approaches are insufficient to characterize varying degrees of self-similarity in realistic image regions. In this paper, we design a non-convex and bounded <em>L<sub>a,ε</sub></em> norm to better approximate the rank function than existing surrogate functions, and thus used as the low rank regularization to sufficiently enforce low rank property over groups. An iterative formula for calculating the proximal map of <em>L<sub>a,ε</sub></em> norm is derived via fixed point iteration, which is proven to guarantee the convergence to the optimal solution. Furthermore, for each group, a graph model is built to characterize the unique manifold structure reflecting the different correlation among its inner patches. The generalized <em>P</em>-Laplacian manifold constraint is formulated to preserve the local geometry of each group manifold more effectively than standard Laplacian manifold constraint. Finally, the manifold constrained low rank regularization (MCLR) model is established and efficiently solved under the frameworks of alternating direction method of multipliers (ADMM) and non-convex accelerated proximal gradient method (NcAPG). The experimental results demonstrate that <em>L<sub>a,ε</sub></em> norm and <em>P</em>-Laplacian manifold constraint bring a considerable performance gain of the proposed method.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116382"},"PeriodicalIF":4.4,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144898181","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}

引用次数: 0

New analytic buckling solution for stepped thin plates 阶梯薄板的一种新的解析屈曲解

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-21 DOI: 10.1016/j.apm.2025.116385

Bingxin Liu, Zhenzhen Tong, Haipeng Zhao, Wei Wang, Jiacheng Han, Shuaize Li, Zhen Zhao

{"title":"New analytic buckling solution for stepped thin plates","authors":"Bingxin Liu, Zhenzhen Tong, Haipeng Zhao, Wei Wang, Jiacheng Han, Shuaize Li, Zhen Zhao","doi":"10.1016/j.apm.2025.116385","DOIUrl":"10.1016/j.apm.2025.116385","url":null,"abstract":"<div><div>This paper investigates the buckling problem of a four-sided simply supported stepped thin plate under bilateral loading using the sine superposition method and analytical solution methods. To date, the buckling problem of this structure has primarily been solved using numerical methods and finite element methods, and analytical solution methods for this structure have not yet been verified. However, in practical applications, analytical methods offer higher accuracy and efficiency compared to numerical methods. This method transforms the original problem into the superposition of four subproblems and derives their exact analytical solutions. By establishing the dual equations of the Hamiltonian system and combining them with continuity conditions and boundary conditions, the analytical expression for the critical buckling load is obtained. Case studies indicate that there is an interaction between the load ratio, length-to-width ratio, and thickness ratio. When the load ratio and length-to-width ratio remain constant, the buckling load coefficient increases with an increase in the thickness ratio; when the load ratio and thickness ratio remain constant, it decreases with an increase in the length-to-width ratio; when the thickness ratio and length-to-width ratio remain constant, it decreases with an increase in the load ratio. Convergence results indicate that convergence is achieved around the 40th series term, significantly faster than numerical methods and finite element methods, offering better real-time performance and cost-effectiveness in industrial design. This study provides an efficient theoretical tool for the buckling analysis and application of stepped thin plates.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116385"},"PeriodicalIF":4.4,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144898373","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}

引用次数: 0

Nonlinear aeroelastic suppression in a supersonic panel with a tunable non-smooth nonlinear oscillator 具有可调谐非光滑非线性振荡器的超声速面板的非线性气动弹性抑制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-08-21 DOI: 10.1016/j.apm.2025.116400

Tian Zhao , Meng Li , Wei Tian , Zhichun Yang

{"title":"Nonlinear aeroelastic suppression in a supersonic panel with a tunable non-smooth nonlinear oscillator","authors":"Tian Zhao , Meng Li , Wei Tian , Zhichun Yang","doi":"10.1016/j.apm.2025.116400","DOIUrl":"10.1016/j.apm.2025.116400","url":null,"abstract":"<div><div>A tunable non-smooth nonlinear oscillator (NSNO), comprising a cantilever-beam resonator integrated with dual limiters, has been developed and implemented on a three-dimensional supersonic panel structure to achieve effective flutter suppression and aeroelastic response mitigation. The nonlinear characteristics of the NSNO with piecewise-linear stiffness properties have been analytically investigated through Harmonic Linearization methodology incorporating the Kelvin-Voigt impact model, with experimental validation. The governing equations for nonlinear aeroelastic behavior of the supersonic panel-NSNO coupled system have been formulated using Hamilton's principle and supersonic piston aerodynamic theory, employing the Rayleigh-Ritz approximation approach. Linear flutter analysis demonstrates that the NSNO configuration fundamentally alters the flutter coupling mechanism of the baseline aeroelastic system, resulting in a 33.3 % enhancement of the flutter boundary. Subsequent nonlinear aeroelastic analysis reveals substantial vibration suppression capabilities, with comparative bifurcation analysis indicating up to 92.56 % amplitude reduction across the entire post-flutter regime. Comprehensive parametric studies have identified nonlinear stiffness and collision damping as critical parameters governing suppression performance. An optimized NSNO parameter configuration is established, indicating superior aeroelastic vibration attenuation characteristics. This study demonstrates that NSNO-based structural configuration represents a novel and effective methodology for significant enhancement of aeroelastic stability and nonlinear flutter suppression performance.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116400"},"PeriodicalIF":4.4,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144898340","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}

引用次数: 0