Applied Mathematical Modelling最新文献

{"title":"Water quality prediction based on different kinds of water consumption in urban areas in China","authors":"Wenwen Wu ,&nbsp;Kaihe Shi ,&nbsp;Lifeng Wu","doi":"10.1016/j.apm.2025.116237","DOIUrl":"10.1016/j.apm.2025.116237","url":null,"abstract":"<div><div>At present, water environment pollution has become one of the most serious problems which threatens human life, health, and water resources. It is important to accurately predict the water quality status for the sustainable development and management of water resources. For the characteristics of water quality research with little data, grey model is chosen as a research tool. In this paper, a grey multivariate model with fractional order new information priority combination cumulative is proposed. The grey correlation analysis was firstly used to analyze the extent to which the water quality index of 16 cities in Anhui Province was affected by four different kinds of water consumption. Then, the proposed model was used to predict the water quality index of each city. The results show that 93.75 % of the cities believe that agricultural water consumption has a significant impact on water quality index, and 81.25 % of the cities believe that industrial water consumption has a significant impact on water quality index. Only 6.25 % and 1.25 % of the cities believed that domestic water consumption and ecological water consumption had a significant impact on water quality index. In addition, the improved model can greatly improve the prediction accuracy. In the future six years, the water quality index of 10 cities shows a decreasing trend, and the water quality index of 6 cities shows an increasing trend in Anhui Province. The results of the research provide a basis for the establishment of policies related to the sustainable development management of the regional water environment and help the construction of beautiful China.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"148 ","pages":"Article 116237"},"PeriodicalIF":4.4,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144306235","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":"High-order multi-scale neural network method for quasi-static thermo-mechanical problems of composite materials","authors":"Jiale Linghu ,&nbsp;Weifeng Gao ,&nbsp;Hao Dong ,&nbsp;Yufeng Nie ,&nbsp;Shuqi Wang","doi":"10.1016/j.apm.2025.116232","DOIUrl":"10.1016/j.apm.2025.116232","url":null,"abstract":"<div><div>The high-accuracy simulation of multi-physics and multi-scale problems of composite materials with a neural network approach remains a challenging task due to costly computation and Frequency Principle. In this study, a novel high-order multi-scale neural network approach with high-accuracy and efficiency performance is developed to compute the quasi-static thermo-mechanical problems of composite materials, which combines the computational advantages of the high-order multi-scale method and the neural network-based method. In the computational framework of high-order multi-scale neural network, the high-order multi-scale method decomposes the original complex multi-scale problem into two parts, namely, the macroscopic homogenized problem and the microscopic unit cell problems. Then the neural network method mesh-free computes these two parts. In particular, revised physics-informed neural networks are developed to calculate macroscopic homogenized thermo-mechanical problems with significant order of magnitude differences between different physical fields. Finally, the accuracy and efficiency of the proposed high-order multi-scale neural network method are demonstrated by representative numerical examples of two- and three-dimensional simulations of composite materials.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"148 ","pages":"Article 116232"},"PeriodicalIF":4.4,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241067","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":"Distributed large-scale joint non-uniform UAV formation path planning based on global optimal guidance","authors":"Gang Hu ,&nbsp;Peidong He ,&nbsp;Guo Wei","doi":"10.1016/j.apm.2025.116239","DOIUrl":"10.1016/j.apm.2025.116239","url":null,"abstract":"<div><div>In the military field, the utilization of unmanned aerial vehicle (UAV) formations to carry out saturation attacks on enemy forces is the development trend of future war. Traditional path planning algorithms have the disadvantages of poor real-time performance, poor flexibility, poor scalability, and weak anti-jamming ability, which make these algorithms difficult to apply in the control of large-scale joint non-uniform military UAV formations. This paper proposes a path-planning method for large-scale, low-cost military UAVs, it addresses three key aspects: system design, path-planning algorithms, and UAV safety guarantee. In system design, we implement a distributed formation control system. In this setup, individual agents can perform flight tasks independently using autonomous algorithms without needing to communicate with a central control center. In path planning algorithms, we quantify the four interactions of UAVs and combine them with the linear separation force strategy to construct a set of behavior-based formation coordination control methods through a reasonable interaction combination method. By adding guided paths, based on the integration of behavior-based formation coordination control methods, this paper retains the advantages of global path planning algorithms, such as high success rate, and local path planning algorithms, such as real-time performance. By designing a distributed formation control system with strong robustness and incorporating an escape mechanism, the system benefits from both passive and active fault-tolerant control strategies. This significantly enhances the overall stability of the system. Ablation experiments demonstrate that the components of the formation control system proposed in this paper are reasonable. Simulation experiments indicate that the distributed large-scale joint non-uniform UAV formation real-time path planning method is secure, stable, adaptable to various planning environments, and exhibits a fast convergence speed for the formation. Additionally, it is scalable, flexible, and suitable for application in large-scale clusters, among other benefits.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"148 ","pages":"Article 116239"},"PeriodicalIF":4.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241066","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":"Nonlinear vortex-induced dynamics and post-buckling analysis of fluid-conveying pipelines with complex constraint","authors":"Ye Tang ,&nbsp;Xinru Zhang ,&nbsp;Yaxin Zhen","doi":"10.1016/j.apm.2025.116244","DOIUrl":"10.1016/j.apm.2025.116244","url":null,"abstract":"<div><div>The paper investigates the nonlinear vortex-induced vibration (VIV) of fluid-conveying pipelines in the supercritical state under the impact of external fluid, axial tension, and the complex constraints of vertical and torsional springs. The nonlinear governing eqs. are derived by applying Hamilton's principle in conjunction with the van der Pol equation. The numerical modes are received using the differential quadrature method combined with Gauss-Legendre nodes. The nonlinear motion eqs. of the coupled system are discretized by the numerical modes in conjunction with the Galerkin method and are solved utilizing the Runge-Kutta methodology. The results show that the variations of the vertical spring and torsional spring will affect the dynamic stiffness of the pipelines in the pre-buckling and post-buckling regimes, which will lead to a change in the displacement response of the pipelines. The introduction of spring complex constraints significantly enhances the critical velocity of the pipeline, and as the internal fluid velocity increases beyond the critical threshold again, the pipeline transitions into an ultra-supercritical state. The buckling angle exhibits negligible influence on the first-order natural frequency.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"148 ","pages":"Article 116244"},"PeriodicalIF":4.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241065","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":"Spatio-temporal grey model based on tensor Tucker decomposition for traffic flow prediction","authors":"Xingwu Wang ,&nbsp;Huiming Duan ,&nbsp;Fengmin Yu","doi":"10.1016/j.apm.2025.116231","DOIUrl":"10.1016/j.apm.2025.116231","url":null,"abstract":"<div><div>Short-term traffic flow prediction plays an increasingly important role in intelligent transportation systems, providing a decision-making basis for traffic signal optimization, route guidance, and emergency control, thereby improving the efficiency of road network operation. However, the traffic flow system is a complex dynamic system, and its data has complex spatio-temporal multi-modal characteristics. The existing grey models take time series and matrix series as the input of metadata, ignoring the multi-modal characteristics of traffic flow data, and have certain limitations in capturing the spatial correlation and dynamic spatio-temporal interaction of traffic flow. This paper introduces tensors with high-dimensional multi-modal features as metadata and establishes a novel tensor-structured discrete grey model. The new model reconstructs the multi-dimensional spatio-temporal attributes of traffic flow data and traditional multi-segment traffic data, follows the discrete grey model's modeling mechanism and prediction method, and retains the advantages of fast calculation efficiency and high prediction accuracy of the grey model. It also makes up for the defect that the grey model can only handle small-scale data, providing a new idea for the multi-dimensional prediction extension of the grey model. To illustrate the effectiveness of the new model, traffic data from multiple periods and multiple road sections are simulated and predicted. The simulation effectiveness index (Mean Absolute Percentage Error) values of the new model in different periods of the same road section and the same period of different road sections are all around 5 %, and it also has a better performance compared with the other three-time series prediction models.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"148 ","pages":"Article 116231"},"PeriodicalIF":4.4,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241592","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":"Elastic-plastic responses of rectangular multi-cell beams under three-point bending","authors":"Xinrong Fu ,&nbsp;Xiong Zhang","doi":"10.1016/j.apm.2025.116227","DOIUrl":"10.1016/j.apm.2025.116227","url":null,"abstract":"<div><div>Thin-walled beams are widely applied in modern industrial products as structural or energy-absorbing components. They are often subject to bending loads and undergo large deformation. How to predict their elastic-plastic bending responses accurately by theoretical methods is still a quite challenging task. In this work, we propose a theoretical method to give more accurate solution on the elastic-plastic bending responses of thin-walled beams. Experimental tests of triple-cell aluminum alloy beams are first carried out, and numerical analyses are then performed. The nonlinear bending moment distribution of multi-cell beams along the span is revealed. Theoretical expressions are derived for elastic-plastic bending moments of multi-cell sections with 1 × <em>m</em> and 2 × <em>m</em> cells. The theoretical method to achieve the three-point bending responses of the multi-cell beams is then introduced, based on a large deformation three-point bending model. The conversion relations between the bending moment response and the force response are also provided. Finally, the effectiveness of the proposed method is validated by experimental and numerical results of multi-cell beams with different sectional shapes.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"148 ","pages":"Article 116227"},"PeriodicalIF":4.4,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144222211","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 new inventory routing problem with route and schedule unpredictability","authors":"Marlize H. Visser,&nbsp;Jan H. van Vuuren","doi":"10.1016/j.apm.2025.116228","DOIUrl":"10.1016/j.apm.2025.116228","url":null,"abstract":"<div><div>The <em>inventory routing problem</em> (IRP) in a retail supply chain setting allows for the simultaneous optimisation of delivery schedules, vehicle routes, and delivery quantities. The IRP relies on the adoption of a vendor-managed inventory strategy which has the potential to reduce transportation, inventory, and stock-out costs in a supply chain. In this paper, we introduce a mathematical model for a new IRP variant, the <em>heterogeneous fixed fleet IRP with time-windows</em> (HeFIRPTW) with route and schedule unpredictability, in the form of a bi-objective mixed-integer linear programming problem. This model simultaneously incorporates route and schedule unpredictability aimed at mitigating inherent safety and security threats experienced during the transportation of valuable goods. Delivery routes and schedules are generated that minimise the operational costs incurred whilst also ensuring that route segments are not traversed too regularly and that customers are not visited during overlapping daily time intervals. The feasibility of adopting an exact <em>ϵ</em>-constrained model solution method is investigated empirically by solving small, adapted benchmark instances of the problem. An investigation into the model solution complexity for varying problem sizes reveals that unpredictability, particularly with tightened constraints, increases the computational time. The complexity implications of multiple vehicles and the imposition of time-windows are also examined. The results highlight the computational demands of the proposed model, demonstrating a clear need for a faster, perhaps approximate, solution approach capable of generating high-quality solutions for realistic problem instances within reasonable time-frames.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116228"},"PeriodicalIF":4.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144194885","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":"Fractional-order viscoelastic model for tendons with multilevel self-similar structures","authors":"Xin Wang,&nbsp;Jianqiao Guo","doi":"10.1016/j.apm.2025.116222","DOIUrl":"10.1016/j.apm.2025.116222","url":null,"abstract":"<div><div>Tendons share multilevel self-similar structures from the molecular to macroscopic levels, and their long-range viscoelastic responses have significant biomechanical implications in clinical settings. Existing research has not adequately studied the correlation between the tendon’s multilevel structure and its viscoelastic behaviour. This study proposes a fractional-order viscoelastic model for tendons that describes their multilevel self-similar structures. A self-similar spring-dashpot network is abstracted from the multilevel structures of tendons, and the spring-dashpot parameters corresponding to adjoint structural levels are assumed to be described by a power-law relationship. The constitutive equations of the viscoelastic model can be derived using Heaviside’s operational calculus, which shows that the long-range viscoelastic response of the tendon can be described by a tempered fractional-order operator and that the fractional order nonlinearly combines the effect of the power-law scaling factor and structural self-similarity. The proposed model is validated to fit the tendon relaxation response described at the macroscopic and micro-nano levels in the literature. The fitting performance is also found to be better than that without consideration of power-law characteristics. In addition, the geometrical definition of the fractal dimension is extended to the proposed fractional-order viscoelastic model, which provides a theoretical foundation for understanding the connections between the multilevel structure of soft biomaterials and their time-dependent biomechanical functions.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116222"},"PeriodicalIF":4.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204132","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":"Control of a 2D-crane system with payload swing attenuation: An observer-based prescribed-time approach","authors":"Roger Miranda-Colorado ,&nbsp;Jesús A. Rodríguez-Arellano ,&nbsp;Luis T. Aguilar","doi":"10.1016/j.apm.2025.116226","DOIUrl":"10.1016/j.apm.2025.116226","url":null,"abstract":"<div><div>A crane system has a variety of applications in industry and for research purposes. However, this system is underactuated and is always affected by disturbances, which compromises the controller design stage. Then, this work develops a new control scheme to control two-dimensional (2D) perturbed overhead cranes. The new proposal separates the controller into two parts. The first controller component is utilized to compensate for disturbances. The second control consists of a switching controller combining a variable-gain scheme and a variable-structure methodology. The new proposal attains prescribed-time convergence for the unperturbed case and asymptotic convergence for the perturbed case. Extensive simulations demonstrate that the tracking errors exhibit low values with low power demands under different initial conditions and matched and unmatched disturbances while payload oscillations are attenuated effectively. Besides, experiments demonstrate the superiority of the novel control methodology with the lowest tracking errors in the trolley and rope; also, payload variations are reduced to half of the value obtained with the best of the controllers used for comparison, demonstrating the appealing features of the new proposal.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116226"},"PeriodicalIF":4.4,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170189","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":"Synchronization of bursting oscillations in coupled FitzHugh-Nagumo neurons","authors":"Haolan Wang,&nbsp;Danjin Zhang,&nbsp;Youhua Qian","doi":"10.1016/j.apm.2025.116219","DOIUrl":"10.1016/j.apm.2025.116219","url":null,"abstract":"<div><div>The research of bursting oscillations in neuronal models not only enriches the study of nonlinear dynamics, but also deepens the understanding of the working mechanism of the brain. A coupled FitzHugh-Nagumo (FHN) neuron model can be simulated by connecting two resistor-inductor-capacitor circuits via a resistor. Taking into account the external excitation as a slow variable, the FHN neuron model can be converted into a generalized autonomous system. Fast-slow analysis is used to investigate the phenomenon of bursting oscillations produced by two identical neurons and two non-identical neurons independently. By examining the superposition of the equilibrium curves with the transformed phase diagrams, the generation mechanisms of the six bursting oscillation behaviors are revealed. Meanwhile, the synchronization phenomenon between two neurons is verified in conjunction with the related synchronization theory. Furthermore, the cause for the antiphase synchronization of the system generating bursting oscillations is elaborated.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"147 ","pages":"Article 116219"},"PeriodicalIF":4.4,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170058","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}