Applied Mathematical Modelling最新文献_第5页

Trajectory tracking and anti-disturbance control for aerial recovery drogues without flow angle measurements 不测量气流角的航空回收喷管轨迹跟踪与抗干扰控制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-24 DOI: 10.1016/j.apm.2025.116105

Yiheng Liu , Honglun Wang , Yanxiang Wang , Junfan Zhu , Jiaxuan Fan

{"title":"Trajectory tracking and anti-disturbance control for aerial recovery drogues without flow angle measurements","authors":"Yiheng Liu , Honglun Wang , Yanxiang Wang , Junfan Zhu , Jiaxuan Fan","doi":"10.1016/j.apm.2025.116105","DOIUrl":"10.1016/j.apm.2025.116105","url":null,"abstract":"<div><div>For the aerial docking problem, as one of the docking subjects, the active control of the drogue is very important. However, there are challenges such as multiple disturbances, inability to install accurate measurement sensors, and attitude constraints. Aiming at these problems, this paper proposes a trajectory anti-disturbance control method for the recovery drogue without flow angle measurements to effectively suppress the sensitivity of the drogue to multiple wind disturbances and provide favorable conditions for successful docking. First, a deep learning-based conversion method from flow angle to Euler angle under wind disturbance conditions is proposed. Then, an affine connection between the position loop and attitude loop is established, and the overall anti-disturbance control framework from attitude to position is formed to realize the high-precision control of drogue position under multiple disturbance. Furthermore, the appointed-time prescribed performance control method is developed to accurately constrain the Euler angles to meet the docking requirements. Finally, the stability of the proposed method is proven, and the effectiveness is demonstrated by abundant simulations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116105"},"PeriodicalIF":4.4,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826323","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 analytical laws and applications of interaction potentials with a focus on van der Waals attraction 相互作用势的新分析定律和应用，重点是范德华引力

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

引用次数: 0

Multiphysics simulation of slag melting in an induction furnace for sustainable silicon production 可持续硅生产中感应炉熔渣多物理场模拟

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

引用次数: 0

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 耦合δ+-SPH-NOSB-PD方法：研究包含剧烈自由表面流动和各向同性结构线弹性变形和破坏的流固耦合问题

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}

引用次数: 0

The construction method of chaotic system model based on state variables and uncertain variables and its application in image encryption 基于状态变量和不确定变量的混沌系统模型构建方法及其在图像加密中的应用

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}

引用次数: 0

Torque tracking position control of DLR-HIT II robotic hand using a real-time physics-informed neural network 基于实时物理信息神经网络的DLR-HIT II型机械手转矩跟踪位置控制

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

Cooperative-transportation dynamics and oscillation control of two helicopters transporting a rigid load 两架直升机运输刚性载荷的协同运输动力学与振荡控制

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-22 DOI: 10.1016/j.apm.2025.116111

Guanfu Li, Jie Huang, Jiajun Chen

{"title":"Cooperative-transportation dynamics and oscillation control of two helicopters transporting a rigid load","authors":"Guanfu Li, Jie Huang, Jiajun Chen","doi":"10.1016/j.apm.2025.116111","DOIUrl":"10.1016/j.apm.2025.116111","url":null,"abstract":"<div><div>The twin helicopter slung system can be effectively utilized for handling rigid loads. Nevertheless, the intense oscillations caused by the coupling dynamics of two helicopters, cables, and slung loads complicate the transportation system, reduce transportation efficiency, and bring pilot challenges. While considerable research has been conducted on twin or multiple helicopters suspending a load, fewer studies have addressed the coupling characteristics among multi-helicopter attitudes, multi-cable swing, and cable-suspended loads pitch. This paper established an analytical dynamic model of twin helicopters carrying a rigid load in the horizontal position undergoing planar motions. The model accurately describes the effects of load size on the dynamics of horizontal lifting motions and the differences in the coupled oscillations between the two helicopters and two cables. Additionally, a hybrid control architecture, integrating a dual-feedback model-tracking controller with two cascaded discontinuous piecewise smoothers, was designed to simultaneously reject external disturbances and minimize oscillations. The simulation results verified the dynamics of transportation system, and quantitatively prove the effectiveness of the proposed controller in comparison to a prior controller.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116111"},"PeriodicalIF":4.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737783","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

Analyzing time-dependent rock-concrete interaction: A solution for non-circular tunnels 分析随时间变化的岩石-混凝土相互作用：非圆形隧道的解决方案

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-21 DOI: 10.1016/j.apm.2025.116098

Amir Alam Sayari , Ali Reza Kargar , Mohammad Hossein Khosravi , Thirapong Pipatpongsa

{"title":"Analyzing time-dependent rock-concrete interaction: A solution for non-circular tunnels","authors":"Amir Alam Sayari , Ali Reza Kargar , Mohammad Hossein Khosravi , Thirapong Pipatpongsa","doi":"10.1016/j.apm.2025.116098","DOIUrl":"10.1016/j.apm.2025.116098","url":null,"abstract":"<div><div>Many researchers have explored the complex time-dependent behavior of rock-concrete interaction in lined tunnels. However, for non-circular tunnel configurations, no analytical solution has been proposed yet. The presence of varying curvature along tunnel boundaries in non-circular tunnels leads to diverse effects on stress and strain components in both the lining and surrounding mass over time. As time progresses, the accuracy of stress and strain assessment significantly decreases, especially at boundaries with high curvature, even when fine grid mesh sizes are used in numerical models. To address these challenges, a novel time-dependent analytical solution in plane strain is introduced for evaluating induced stress and strain fields around a lined non-circular tunnel subjected to non-hydrostatic in situ stress. The solution, developed using the complex variable method by Muskhelishvili and conformal mapping functions, results in a system of first-order linear differential equations. This approach was validated using COMSOL finite element software, demonstrating a substantial reduction in stress evaluation errors and time consumed compared to the software. Finally, a sensitivity analysis on Burgers model parameters performed, which revealed different effects on stress induced around tunnels in short and long-term. Notably, this solution is applicable to tunnels of any shape and compatible with various linear viscoelastic constitutive models for rock masses.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116098"},"PeriodicalIF":4.4,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799022","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

Trampoline metamaterial coupled with Helmholtz resonator for enhanced acoustic piezoelectric energy harvesting 结合亥姆霍兹谐振腔的蹦床超材料增强声压电能量收集

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-21 DOI: 10.1016/j.apm.2025.116109

Tian Deng , Luke Zhao , Feng Jin

{"title":"Trampoline metamaterial coupled with Helmholtz resonator for enhanced acoustic piezoelectric energy harvesting","authors":"Tian Deng , Luke Zhao , Feng Jin","doi":"10.1016/j.apm.2025.116109","DOIUrl":"10.1016/j.apm.2025.116109","url":null,"abstract":"<div><div>To enhance acoustic piezoelectric energy harvesting at lower frequencies, this study proposes a coupled structure comprising a trampoline metamaterial and a Helmholtz resonator. The trampoline metamaterial incorporates periodically arranged composite resonant pillars embedded in a perforated thin plate. By designing a point defect in the metamaterial, vibro-acoustic energy can be intentionally confined to the defect location at the defect band frequency. Considering the amplified acoustic pressure in the Helmholtz resonator, the incorporation of the trampoline metamaterial into a Helmholtz resonant cavity enables enhanced energy localization. Initially, a mathematical model for calculating the first resonant band gap is established. The band gap and corresponding defect band frequency are then validated by comparing numerical simulation with experimental results. Subsequently, numerical simulations are conducted to investigate the influences of hole radius and coupled structure on piezoelectric energy harvesting performance. These simulations revealed that an increase in the hole radius significantly enhances vibro-acoustic localization and piezoelectric conversion efficiency of the trampoline metamaterial. Furthermore, the synergistic interaction of the coupled structure between the defect state in the trampoline metamaterial and the acoustic pressure amplification in the Helmholtz resonator further enhances the energy harvesting performance. At an acoustic incident amplitude of 2 Pa and a defect band frequency of 1068.5 Hz, the coupled structure attains a maximum output voltage of 5.94 V and power of 39.10 μW. These values demonstrate enhancements of 2.65 times and 2.80 times, respectively, compared to the uncoupled trampoline metamaterial with a hole radius of <em>r</em><sub>0</sub>=1.5 mm. Such findings offer guidance for designing piezoelectric energy harvester in applications such as self-powered sensors and small electrical devices.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"144 ","pages":"Article 116109"},"PeriodicalIF":4.4,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737784","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

On a quasi-zero stiffness vibration isolator with multiple zero stiffness points for mass load deviation 具有多个零刚度点的准零刚度隔振器的质量载荷偏差

IF 4.4 2区工程技术

Applied Mathematical Modelling Pub Date : 2025-03-21 DOI: 10.1016/j.apm.2025.116112

Qingye Meng , Lei Hou , Rongzhou Lin , Yushu Chen , Nasser A Saeed , Ahmed Fouly , E.M. Awwad

{"title":"On a quasi-zero stiffness vibration isolator with multiple zero stiffness points for mass load deviation","authors":"Qingye Meng , Lei Hou , Rongzhou Lin , Yushu Chen , Nasser A Saeed , Ahmed Fouly , E.M. Awwad","doi":"10.1016/j.apm.2025.116112","DOIUrl":"10.1016/j.apm.2025.116112","url":null,"abstract":"<div><div>This paper proposes a quasi-zero stiffness (QZS) isolator with three zero stiffness (ZS) points to cope effectively with mass load deviations. Most of the existing QZS vibration isolators are designed for a single mass. The vibration isolation performance of the isolator is significantly affected when the mass load deviates after the structure has been determined. The isolators designed in this paper have multiple ZS points, thereby enlarging the QZS interval while effectively reducing the sensitivity to mass changes. The dynamic equations of the system are constructed based on the Lagrange equation, and the influence of the parameters on the stiffness characteristics is analyzed thoroughly. The modified incremental harmonic balance method (IHB) is applied to analyze the dynamic characteristics of the vibration isolator, and the effects of different masses, different stiffness characteristics, and mass variation under fixed excitation on the vibration isolation performance are discussed separately. The presence of stiffness-softening intervals effectively suppresses the impact of stiffness-hardening on vibration isolation performance. The QZS isolator can effectively solve the problem of deviation of the isolated mass when the system stiffness fluctuation is small. The same isolator can simultaneously satisfy the vibration isolation requirements of three different masses when stiffness fluctuations are large. The results of this paper provide a research idea for overcoming the shortcomings of QZS vibration isolators, which are sensitive to mass changes, and for realizing effective vibration isolation for multiple masses.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116112"},"PeriodicalIF":4.4,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785453","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