Applied Mathematical Modelling最新文献

Editorial Addendum for “Influences of longitudinal magnetic field on wave propagation in carbon nanotubes embedded in elastic matrix” [Appl. Math. Model. 34 (2010) 878–889] and “Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory” [Appl. Math. Model. 36 (2012) 4529–4538]

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-31 DOI: 10.1016/j.apm.2025.116113

Malcolm R. Davidson

引用次数: 0

Effects of electrohydrodynamic charge transport on surface motion and deformation at a plasma–liquid interface

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-27 DOI: 10.1016/j.apm.2025.116115

Zhe Feng , Evert Klaseboer , Hongying Li , Wai Hong Ronald Chan

{"title":"Effects of electrohydrodynamic charge transport on surface motion and deformation at a plasma–liquid interface","authors":"Zhe Feng , Evert Klaseboer , Hongying Li , Wai Hong Ronald Chan","doi":"10.1016/j.apm.2025.116115","DOIUrl":"10.1016/j.apm.2025.116115","url":null,"abstract":"<div><div>Two-dimensional multi-phase interactions between a weakly ionised single-fluid plasma and an incompressible liquid layer are studied through detailed numerical simulations of the Navier–Stokes and Poisson–Nernst–Planck equations, with relevance to liquid cooling in nuclear fusion reactor divertors, as well as ionic wind cooling. The plasma–liquid interface is captured using the conservative phase-field method to explore the effects of plasma-induced flow on and beneath the interface, as well as the characteristics of the interfacial deformation itself. An electric potential difference is imposed across a nozzle-plate set-up, where the downward-pointing nozzle orifice serves as a source of positive ions and the bottom plate acts as a support for a pool of liquid. An ascending liquid flow is observed along the vertical axis of symmetry of the domain with a maximum speed close to experimentally measured values. Around the plasma–liquid interface, vortices comprising circulating liquid are generated with morphologies in general agreement with experiments. These vortices accumulate charge near the vertical symmetry axis and eventually enhance surface oscillations. A parametric study of the external voltage and strength of injected charge density indicates that external voltage is primarily responsible for promoting surface transport and charge accumulation. The observed surface oscillations, which are driven by Coulombic interactions, are primarily subject to the restoring action of gravity in the sense of oscillation period reduction. Our findings enable optimisation of mixing efficiencies in interfacial electrohydrodynamic flows that could be relevant for water purification and nitrogen fixation.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116115"},"PeriodicalIF":4.4,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767585","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}

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Event-triggered prescribed-time distributed formation control of marine surface vessels with prescribed performance

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-27 DOI: 10.1016/j.apm.2025.116117

Shasha Wang , Dongchen Dai , Lili Li , Shuang Gao , Zhouhua Peng , Yulong Tuo

{"title":"Event-triggered prescribed-time distributed formation control of marine surface vessels with prescribed performance","authors":"Shasha Wang , Dongchen Dai , Lili Li , Shuang Gao , Zhouhua Peng , Yulong Tuo","doi":"10.1016/j.apm.2025.116117","DOIUrl":"10.1016/j.apm.2025.116117","url":null,"abstract":"<div><div>In this paper, an event-triggered prescribed-time distributed formation control method is designed for marine surface vessels with prescribed-time prescribed performance subject to compound uncertainties. Firstly, we introduce variable substitutions to simplify the mathematical model of marine surface vessels. Then, a prescribed-time extended state observer is constructed to estimate unmeasured velocities and compound uncertainties at a prescribed-time. Meanwhile, a novel prescribed-time performance function with an error transformation is designed to impose constraints on formation errors. Subsequently, we design an event-triggered control mechanism taking account of error constraints, which reduces the operating frequency of actuators without weakening system transient performance. Based on the designed extended state observer, performance function and event-triggered control mechanism, a prescribed-time distributed formation control law is developed for marine surface vessels with distinguished convergence performance, good transient performance, and low actuator losses. At last, simulations are conducted to illustrate the advantages and application prospects of the designed approach. The proposed method has several notable characteristics compared with most existing strategies: 1) it guarantees the prescribed-time convergence of the formation errors; 2) it achieves prescribed-time error constraints by using the designed performance function; 3) it actualizes the quantitative balance between error constraints and the operating frequency of actuators via the proposed event-triggered control mechanism, which can avoid the excessive wear on actuators.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116117"},"PeriodicalIF":4.4,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748333","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}

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Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-26 DOI: 10.1016/j.apm.2025.116114

Gabriele Milani , Levingshan Augusthus Nelson

{"title":"Derivation of experimental debonding outputs for FRP-strengthened concrete samples through a fracture energy-based closed-form approach","authors":"Gabriele Milani , Levingshan Augusthus Nelson","doi":"10.1016/j.apm.2025.116114","DOIUrl":"10.1016/j.apm.2025.116114","url":null,"abstract":"<div><div>Numerous bond-slip models have been proposed in the literature to elaborate on the behaviour between concrete and FRP. However, in most of these bond-slip models, the interfacial debonding fracture energy of the bond is not explicit. Furthermore, theoretical derivations of the experimental response of test samples from bond-slip models have often been calibrated with regression constants. This paper provides comprehensive theoretical derivations from the first principle using a bond-slip model with interfacial fracture energy. Thus, the explicit nature of the interfacial fracture energy in the bond behaviour is demonstrated. Moreover, the theoretical derivations eliminate the use of unhinged and statically dependent empirical constants. Furthermore, the presentation of theoretical derivations is showcased, succeeded by a series of sensitivity analyses of bond-slip parameters, accompanied by a comprehensive discussion on the significance of these parameters. Therefore, the analytical derivations with interfacial fracture energy presented in the paper are universal and can be applied to most scenarios where the implicit properties of the bond-slip model are unknown.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116114"},"PeriodicalIF":4.4,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767586","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}

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An alternative minimization method for TV-image deblurring in tensor space

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-25 DOI: 10.1016/j.apm.2025.116102

Haonan Tao , Zhibao Li

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New analytical laws and applications of interaction potentials with a focus on van der Waals attraction

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-24 DOI: 10.1016/j.apm.2025.116100

A. Borković , M.H. Gfrerer , R.A. Sauer

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Multiphysics simulation of slag melting in an induction furnace for sustainable silicon production

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-24 DOI: 10.1016/j.apm.2025.116107

A. Bermúdez , O. Crego , J.L. Ferrín , B. García , D. Gómez , I. Martínez , L.J. Pérez-Pérez , P. Salgado

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A coupled δ+-SPH-NOSB-PD method: Towards fluid-structure interaction problems involving violent free-surface flows and isotropic structural linear elastic deformations and failures

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-24 DOI: 10.1016/j.apm.2025.116104

Guang-Qi Liang , Peng-Nan Sun , Hong-Guan Lyu , Gui-Yong Zhang

{"title":"A coupled δ+-SPH-NOSB-PD method: Towards fluid-structure interaction problems involving violent free-surface flows and isotropic structural linear elastic deformations and failures","authors":"Guang-Qi Liang , Peng-Nan Sun , Hong-Guan Lyu , Gui-Yong Zhang","doi":"10.1016/j.apm.2025.116104","DOIUrl":"10.1016/j.apm.2025.116104","url":null,"abstract":"<div><div>In this paper, a robust integrated particle model is developed by coupling smoothed particle hydrodynamics (SPH) and peridynamics (PD) to deal with the fluid-structure interaction (FSI) problems involving violent free-surface flows and isotropic structural linear elastic deformations and failures. The partitioned approach is conducted in between a stable and accurate <span><math><msup><mrow><mi>δ</mi></mrow><mrow><mo>+</mo></mrow></msup></math></span>-SPH fluid model and a non-ordinary state-based PD (NOSB-PD) structure model based on the idea of non-local interactions. The SPH fluid model is strengthened with a set of previously advanced numerical techniques, hence, the developed coupled scheme is referred to as an enhancement of the traditional SPH-PD. Crack initiation and propagation in structural responses under fluid dynamics are considered, which is relatively rare in previous FSI simulations. The information between the boundaries is transferred via the acceleration-based way and pressure integration method, which helps to ensure numerical stability and accuracy. In addition, a modified sequential staggered (MSS) algorithm is adopted to improve the efficiency when the time step of the structure significantly differs from that of the fluid. Firstly, the performance of the PD-based structure model is verified by three benchmarks, namely a free oscillating cantilever plate, stress distribution inside an isotropic plate with a circular opening and the Kalthoff-Winkler impact test. Then, several challenging FSI problems are simulated to validate the accuracy and robustness of the present FSI solver in predicting the fluid fields and the elastic response and fracture of the structure. The results achieved are in good agreement with the references, verifying the scheme's feasibility in this work.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116104"},"PeriodicalIF":4.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739952","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}

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The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-24 DOI: 10.1016/j.apm.2025.116097

Jingfeng Jie , Yang Yang , Ping Zhang

{"title":"The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption","authors":"Jingfeng Jie , Yang Yang , Ping Zhang","doi":"10.1016/j.apm.2025.116097","DOIUrl":"10.1016/j.apm.2025.116097","url":null,"abstract":"<div><div>This paper focuses on the construction of nonlinear dynamic models, specifically targeting continuous chaotic systems. It introduces an innovative approach to integrating state variables and uncertain variables to construct continuous chaotic systems. Initially, a unified construction method is proposed, combining state variables with a determinable amplitude matrix. The feasibility of this method is verified through the definition of the Lyapunov index. Using a three-dimensional chaotic system with a single nonlinear structure as an example, numerical parameters are screened based on the Lyapunov index. Additionally, permutation entropy is utilized to explore changes in the system's chaotic behavior induced by random natural values and mathematical functions in random amplitudes. The model is then extended to a four-dimensional state, demonstrating the complex characteristics of the system in this higher dimension through various complexities, thus highlighting the universal applicability of the construction method. Finally, the constructed three-dimensional and four-dimensional continuous systems are applied to a DNA-based color image encryption system. Comparative analyses of robustness and security show that the proposed method offers significant advantages in practical applications. The results indicate that this method is not only theoretically innovative in constructing chaotic systems but also holds high practical value.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116097"},"PeriodicalIF":4.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143715373","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}

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Torque tracking position control of DLR-HIT II robotic hand using a real-time physics-informed neural network

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-22 DOI: 10.1016/j.apm.2025.116110

Ali Al-Shahrabi , Masoud J. Javid , Ashraf A. Fahmy , Christian A. Griffiths , Chunxu Li

{"title":"Torque tracking position control of DLR-HIT II robotic hand using a real-time physics-informed neural network","authors":"Ali Al-Shahrabi , Masoud J. Javid , Ashraf A. Fahmy , Christian A. Griffiths , Chunxu Li","doi":"10.1016/j.apm.2025.116110","DOIUrl":"10.1016/j.apm.2025.116110","url":null,"abstract":"<div><div>This paper presents a novel approach for controlling the DLR-HIT II robotic hand by leveraging physics-informed neural networks (PINNs) for torque and position control. This method eliminates the need for additional control inputs or external controllers, achieving high precision and simplified dynamics, which is validated through extensive simulations that closely replicate experimental conditions, demonstrating the system's ability to handle external disturbances and maintain accurate trajectory tracking. The strategy only requires time and joint position data as inputs, allowing the network to compute velocity and acceleration internally. Time normalization enhances the model's ability to generalize across different time scales and ensures stable training. The method demonstrates strong generalization from a limited training set and successfully performs across diverse trajectory types. This simplification significantly reduces computational complexity and facilitates real-time control in advanced robotic applications.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116110"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726005","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}

引用次数: 0