Applied Mathematical Modelling最新文献_第2页

A Gegenbauer-polynomial-based semi-analytical approach for dynamic modeling of series-parallel pipe systems under elastic boundary conditions 弹性边界条件下串并联管道系统动力学建模的基于gegenbauer -多项式的半解析方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-21 DOI: 10.1016/j.apm.2025.116317

Hongda Xu , Xufang Zhang , Zhonghan Sun , Shengzhe Sun

{"title":"A Gegenbauer-polynomial-based semi-analytical approach for dynamic modeling of series-parallel pipe systems under elastic boundary conditions","authors":"Hongda Xu , Xufang Zhang , Zhonghan Sun , Shengzhe Sun","doi":"10.1016/j.apm.2025.116317","DOIUrl":"10.1016/j.apm.2025.116317","url":null,"abstract":"<div><div>This study introduces a Gegenbauer-polynomial-based semi-analytical approach (GP-SAA) for dynamic modeling of series-parallel pipe (SPP) systems under elastic boundary conditions. By leveraging the Timoshenko beam theory, energy formulations for straight and curved pipes, single and dual clamps, and pipe joints are derived. The Virtual Spring Technology (VST), which effectively models the dynamic coupling effects arising from pipe-pipe, clamp-pipe, and pipe-connector interactions, is employed to establish elastic boundary conditions. To ensure the numerical accuracy and computational efficiency of the GP-SAA framework, a systematic convergence analysis of key parameters is performed. A prototype of the SPP system and its finite element (FE) model are independently developed to benchmark the proposed methodology via the experimental modal analysis. Convergence studies based on multiple realizations of the polynomial parameter are conducted to identify a proper truncation term for the GP-SAA. Furthermore, parametric investigations into critical factors such as pipe geometry, clamp positions, and connector locations are performed to investigate their combined effects on natural frequency characteristics of the SPP system. Numerical results demonstrate the effectiveness and potential applicability of the GP-SAA for dynamic modeling of SPP systems in general.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116317"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686423","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

Analytical solutions of curvilinear nano-beams: An application to nano-circular ring problems and gradient initial stresses 曲线纳米梁的解析解：在纳米环问题和梯度初始应力中的应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-21 DOI: 10.1016/j.apm.2025.116319

Teoman Özer , Martin Kröger

{"title":"Analytical solutions of curvilinear nano-beams: An application to nano-circular ring problems and gradient initial stresses","authors":"Teoman Özer , Martin Kröger","doi":"10.1016/j.apm.2025.116319","DOIUrl":"10.1016/j.apm.2025.116319","url":null,"abstract":"<div><div>This study investigates the analytical solutions for homogeneous, not only isotropic but also anisotropic curved nano-beams with axial symmetry and extends classical elasticity (CE) to gradient elasticity (GE). The stress fields are determined using a gradient Airy stress function, which corresponds to the classical Airy stress potential. For both cases, the gradient Airy stress functions are derived from analytical solutions of the governing differential equations, which are written in the form of the (classical) Airy stress function. The corresponding stress in GE is determined for different cases with displacement fields derived from CE. The analytical solutions show that GE stresses and displacement fields contain expressions with Bessel and hypergeometric functions. These solutions make it possible to compare the CE and GE stress and displacement fields. As an application, the stress and displacement fields for a nano-circular ring representing a multiply connected body are solved analytically for classical and nano-scale cases. In addition, the initial stresses are extended to GE for nested rings, where the GE initial stresses are introduced. Finally, it is shown analytically and numerically that the GE solutions for all derived stress and displacement fields, including the gradient Airy stress functions, approach CE when the gradient coefficient <em>c</em> converges to zero.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116319"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686422","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

Enhanced dissipation by advection and applications to PDEs 平流增强耗散及其在偏微分方程上的应用

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-21 DOI: 10.1016/j.apm.2025.116310

A.L. Mazzucato , Y. Feng , C. Nobili

引用次数: 0

Twistor-based integrated double hyperbolic sliding mode control for time-varying quadrotor UAV systems 时变四旋翼无人机系统的综合双双曲滑模控制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-21 DOI: 10.1016/j.apm.2025.116309

Jiaxing Zhou , Wei Chen , Yifan Deng , Qing Li , Zhao Deng

{"title":"Twistor-based integrated double hyperbolic sliding mode control for time-varying quadrotor UAV systems","authors":"Jiaxing Zhou , Wei Chen , Yifan Deng , Qing Li , Zhao Deng","doi":"10.1016/j.apm.2025.116309","DOIUrl":"10.1016/j.apm.2025.116309","url":null,"abstract":"<div><div>This study pioneers the application of the twistor framework to address pose-coupled disturbances in UAVs with time-varying payloads. The twistor-based time-varying UAV dynamics concurrently describes translational and rotational dynamics, eliminating the need for algebraic transformation operations inherent in decoupled approaches while avoiding the parameter redundancy and normalization constraint of dual quaternion. Although twistor resolves fundamental dynamic limitations of conventional approach, complex disturbances from the time-varying payload require controllers with enhanced robustness and efficiency—a challenge unmet by existing twistor-based framework. To tackle pose-coupled disturbances within this framework, a double hyperbolic sliding mode controller (DH-SMC) featuring a novel double hyperbolic reaching law is proposed in this study. Results from numerical simulations and hard ware in the loop (HIL) experiments demonstrate that the proposed DH-SMC significantly outperforms constant-velocity SMC (CV-SMC), achieving a 29.8% reduction in energy consumption, 15.1% faster convergence, and a 70.3% decrease in maximum steady-state position error, confirming its superior robustness and real-time capability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116309"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686421","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

Adaptive neural network control of manipulators with input deadband and field-of-view constraints 具有输入死带和视场约束的机械臂自适应神经网络控制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-18 DOI: 10.1016/j.apm.2025.116311

Jianjun Jiao , Zonggang Li , Guangqing Xia , Yinjuan Chen , Jianzhou Xin

{"title":"Adaptive neural network control of manipulators with input deadband and field-of-view constraints","authors":"Jianjun Jiao , Zonggang Li , Guangqing Xia , Yinjuan Chen , Jianzhou Xin","doi":"10.1016/j.apm.2025.116311","DOIUrl":"10.1016/j.apm.2025.116311","url":null,"abstract":"<div><div>There exist input dead zone and field-of-view constraints in visual dynamic manipulator systems due to image information loss and uncertainty in actuator physical characteristics, which lead to reduced control accuracy, boundary-induced oscillations, motion instability, and high control energy consumption. In this study, a novel zone Barrier Lyapunov Functions based adaptive neural network visual controller is proposed to address these problems. First, the system model is transformed into an image-based second-order dynamic model, and for the unknown unmeasurable states in the model, a high-gain observer is utilized to achieve accurate estimation. Second, to improve the flexibility of the image trajectory and velocity in the constraint area, a new zone Barrier Lyapunov Functions function is introduced to the visual servoing controller. Additionally, an adaptive neural network approximates the input dead zone model and the unknown part of the system dynamics. Then, the stability of the system and the boundedness of all error signals are theoretically proven using the Lyapunov technique to ensure that the field-of-view constraints are not violated. Finally, comparative simulation and experimental results verify the effectiveness and superiority of the proposed method. The results show that our method can keep the image feature point error around 5 pixels without violating the constraints, and the overall energy consumption of the system is reduced by 83.58% compared to the BLF method and 31.58% compared to the tangent barrier Lyapunov function method, which has significant potential applications in manipulator vision systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116311"},"PeriodicalIF":4.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144665009","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

Memory-driven Q-learning model for cooperation in snowdrift game with dynamic behavioral types 动态行为类型雪堆游戏合作的记忆驱动q -学习模型

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-18 DOI: 10.1016/j.apm.2025.116313

Xiang Li , Bin Pi , Liang-Jian Deng , Qin Li

{"title":"Memory-driven Q-learning model for cooperation in snowdrift game with dynamic behavioral types","authors":"Xiang Li , Bin Pi , Liang-Jian Deng , Qin Li","doi":"10.1016/j.apm.2025.116313","DOIUrl":"10.1016/j.apm.2025.116313","url":null,"abstract":"<div><div>Evolutionary games on complex networks provide an effective framework for studying the emergence of cooperation, where Q-learning, a mechanism that enables agents to make strategy decisions based on experiential feedback, has garnered significant attention in this field. Previous studies predominantly rely on the assumption that individual behavioral types remain static over time. However, during prolonged game interactions, agents struggle to maintain fixed behavioral types. For instance, a profiteer might transition to a conformist based on accumulated experience. Therefore, we propose a Q-learning-based dynamic behavioral type adaptation model, specifically defining the action space of Q-learning as a selection between profiteer and conformist types. Furthermore, we integrate a memory mechanism into Q-learning reward calculations to reflect agents' trade-offs between historical experiences and immediate payoffs. Experimental results demonstrate that evolutionary games ultimately reach either full cooperation or full defection states depending on the cost-to-benefit ratio in the snowdrift game. By analyzing the evolution of four agent types, including cooperative profiteers, cooperative conformists, defective profiteers, and defective conformists, we delineate the phases of these evolutionary trajectories and explain the underlying mechanisms through our newly proposed feedback-driven Δ<em>Q</em>. Additionally, by investigating memory-driven Q-learning itself, we illustrate its advantage in promoting cooperation among other mechanisms and reveal that prioritizing immediate rewards significantly enhances cooperation. Our study pioneers the integration of dynamic behavioral type adaptation with memory-driven Q-learning, offering an innovative model for cooperative optimization in real-world multi-agent systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116313"},"PeriodicalIF":4.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144665010","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 sharp-interface approach for simulating solid-state dewetting of thin films with double-bubble structure 双泡结构薄膜固态脱湿的锐界面模拟方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-18 DOI: 10.1016/j.apm.2025.116318

Meng Li , Nan Wang , Ruofan Zhao, Chunjie Zhou

引用次数: 0

An efficient nonuniform ALE formulation for dynamic analysis of variant-direction sliding plates/shells 变方向滑板/壳动力分析的有效非均匀ALE公式

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-18 DOI: 10.1016/j.apm.2025.116304

Binghua Zhang , Wei Fan , Hui Ren

{"title":"An efficient nonuniform ALE formulation for dynamic analysis of variant-direction sliding plates/shells","authors":"Binghua Zhang , Wei Fan , Hui Ren","doi":"10.1016/j.apm.2025.116304","DOIUrl":"10.1016/j.apm.2025.116304","url":null,"abstract":"<div><div>Variant-direction sliding shell structures exhibit superior engineering adaptability compared to conventional single-direction configurations. While the Arbitrary Lagrangian-Eulerian (ALE) framework has become a standard tool for modeling sliding shells, two critical limitations persist: (1) excessive computational overhead due to complex 2D mesh-material mapping relationships, and (2) inability of some 1D mapping-based ALE formulations to capture variant-directional sliding behaviors. This study presents an efficient ALE shell formulation specifically tailored for the simulation of variant-direction sliding mechanics. The proposed method distinguishes mass flow from spatial motion using mesh and material nodes, and decomposes the virtual displacement on the Euler boundaries. A novel nonuniform mesh-material mapping formula is derived by simplifying the 2D bilinear mapping to reduce complexity. The generalized elastic forces are simplified using the Reynolds transport theorem, the sliding constraints are simplified using differential-algebraic equations (DAEs), and d'Alembert's Principle is adopted on the mesh domain to derive the final governing equation. The proposed ALE shells based on nonuniform mesh-material mappings achieve comparable modeling accuracy and numerical convergence to conventional 2D mesh-material mapping-based ALE shells, yet demonstrate computational efficiency orders of magnitude higher. This advancement stems from the capability of nonuniform mappings to support ALE shell modeling of variant-direction sliding shells. Besides, nonuniform ALE shells are particularly adept at resolving sliding shell problems involving contact clearances, showcasing remarkable potential for broad engineering applications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116304"},"PeriodicalIF":4.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144665011","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

The band structure of 2D defective nano phononic crystals by an enhanced local radial basis function collocation method 用增强的局部径向基函数配点法研究二维缺陷纳米声子晶体的能带结构

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-18 DOI: 10.1016/j.apm.2025.116325

Jie Huang , Li Ning , Hui Zheng , C.W. Lim

引用次数: 0

Signal priority control method for connected transit at urban road intersections considering group energy conservation 考虑群体节能的城市交叉口连通交通信号优先控制方法

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-07-17 DOI: 10.1016/j.apm.2025.116322

Xinghua Hu , Xinghui Chen , Jiahao Zhao , Ran Wang , Bing Long , Dongde Deng

{"title":"Signal priority control method for connected transit at urban road intersections considering group energy conservation","authors":"Xinghua Hu , Xinghui Chen , Jiahao Zhao , Ran Wang , Bing Long , Dongde Deng","doi":"10.1016/j.apm.2025.116322","DOIUrl":"10.1016/j.apm.2025.116322","url":null,"abstract":"<div><div>Transit signal priority (TSP) control at intersections plays a crucial role in promoting sustainable transportation development. However, the issue of increased energy consumption and delays for the vehicle groups in non-transit priority phases requires attention. To address this challenge, this study proposes a combined control strategy integrating speed guidance and TSP in a fully connected environment, considering two scenarios: different-speed and same-speed coordinated guidance for bus and social vehicle groups. The strategies incorporate guidance acceleration, guidance acceleration-green extension, and guidance deceleration-red truncation. A bi-level optimization model is developed, with the upper-level objective of maximizing energy consumption reduction for both bus and social vehicle groups, and the lower-level objective of maximizing delay reduction. The example analysis showed that the energy consumption reduction rates at the intersection reached 84.15 %, 79.61 %, and 43.95 % for the different-speed guidance scenario under the above three control strategies, respectively. Similarly, the delay reduction rates were 70.49 %, 76.83 %, and 25.69 %, respectively. For the same-speed guidance scenario, the energy consumption reduction rates were 88.61 %, 74.73 %, and 13.29 %, respectively. Similarly, under the first two control strategies, the delay reduction rates were 84.86 % and 72.42 %, respectively, while the delay increase rate was a mere 1.35 % under the guidance deceleration-red truncation strategy. Finally, the proposed method is compared with existing TSP control methods to highlight its advantages. That is, the proposed method trades a small delay cost for significant energy conservation and mitigates the impact of transit priority on the energy consumption and traffic efficiency of the social vehicle groups.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116322"},"PeriodicalIF":4.4,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144665012","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