Journal of Computational and Nonlinear Dynamics最新文献_第2页

Reduced Order Synchronization of Two Non-Identical Special Class of Strict Feedback Systems via Back-Stepping Control Technique 基于退步控制技术的两类非相同特殊严格反馈系统的降阶同步

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-11-10 DOI: 10.1115/1.4063721

Riddhi Bora, Bharat Bhushan Sharma

{"title":"Reduced Order Synchronization of Two Non-Identical Special Class of Strict Feedback Systems via Back-Stepping Control Technique","authors":"Riddhi Bora, Bharat Bhushan Sharma","doi":"10.1115/1.4063721","DOIUrl":"https://doi.org/10.1115/1.4063721","url":null,"abstract":"Abstract This work offers a systematic technique to achieve reduced order synchronization (ROS) between two different order general classes of chaotic systems in a master-slave configuration. In this study, the dynamics of the master and slave systems are assumed to follow a special class of strict-feedback form, namely, the generalized triangular feedback form. The main objective is to design a suitable scalar controller using a Lyapunov theory-based back-stepping approach such that the mth order slave system gets synchronized with the nth order master system. Due to the difference in the order of the systems (m&lt;n and m=(n−1)), it is only possible to achieve the synchronization between m numbers of states of the slave systems with (n−1) numbers of states of the master system, respectively. We cannot conclude on the stability of the nth state of the master system as there is no counterpart (state) available in the slave system to be synchronized with. Adding an additional (m+1)th state dynamics along with a nonlinear feedback controller (U1) to the slave system ensures that the nth state of the master system is synchronized with the (m+1)th state dynamics of the slave system. With the suggested technique proposed in this article, complete state-to-state synchronization can be achieved with only two controllers. The analytical results are successfully validated through numerical simulations presented in the end.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"75 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135088354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Kinetic- and Strain-Energy Approaches in the Thermal Analysis of Constrained Mechanical Systems: A Comparative Study 约束机械系统热分析中的动能和应变能方法:比较研究

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-11-10 DOI: 10.1115/1.4063725

Moataz Abdalla, Ahmed A. Shabana

{"title":"Kinetic- and Strain-Energy Approaches in the Thermal Analysis of Constrained Mechanical Systems: A Comparative Study","authors":"Moataz Abdalla, Ahmed A. Shabana","doi":"10.1115/1.4063725","DOIUrl":"https://doi.org/10.1115/1.4063725","url":null,"abstract":"Abstract Despite the unconstrained thermal expansion is assumed stress-free, the conventional FE approach requires formulating elastic forces, and this in turn leads to elastic stresses. A displacement-based formulation, on the other hand, can be used to address this limitation by converting the thermal energy to kinetic energy instead of strain energy. The fundamental differences between the strain- and kinetic-energy approaches are discussed. It is shown that the unconstrained thermal expansion predicted using the kinetic-energy approach is independent of the continuum constitutive model, and consequently, such a formulation can be used for both solids and fluids. The displacement (kinetic) and strain (stress) formulations are discussed to shed light on the mechanism of thermal expansion at the macroscopic level. The thermal-expansion displacement formulation (TEDF) and position-gradient multiplicative decomposition into thermal and mechanical parts are used to compute the thermal stresses due to boundary and motion constraints (BMC). TEDF implementation issues are discussed and constant matrices evaluated at a preprocessing stage after applying sweeping matrix technique to eliminate rigid-body thermal-displacement translational modes are identified. Furthermore, the softening effect due to the constitutive-model dependence on the temperature is investigated at high temperatures. Numerical results are presented to show fundamental differences between the TEDF approach that converts heat energy to kinetic energy and conventional FE approach that converts heat energy to strain energy that produces elastic stresses.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"75 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135088353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Finite Element Method in Time For Multibody Dynamics 多体动力学的时域有限元法

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-11-02 DOI: 10.1115/1.4063953

Olivier Bauchau

{"title":"The Finite Element Method in Time For Multibody Dynamics","authors":"Olivier Bauchau","doi":"10.1115/1.4063953","DOIUrl":"https://doi.org/10.1115/1.4063953","url":null,"abstract":"Abstract The generalized-αscheme has become the approach of choice for the time integration of the equations of motion of multibody systems. Despite its simplicity, this scheme presents drawbacks: the time step size cannot be changed easily, making it difficult to implement time adaptivity, and the solution of periodic problems cannot be found easily. This paper explores an alternative approach based on the finite element method in time. The basic principles underpinning the approach are presented and both time-continuous and time-discontinuous approaches are investigated. Two types of Galerkin schemes will be presented here: the time-continuous and the time-discontinuous schemes. In the former, the displacement field is continuous across inter-element boundaries, whereas discontinuities or “jumps” are allowed across inter-element boundaries for the latter. Simple problems are treated to identify the best schemes. Families of schemes of various accuracy are presented. The first family, based on time-continuous elements, features schemes that do not present numerical dissipation. Asymptotic annihilation is achieved by the time-discontinuous elements that form the second family. The problem of kinematic constraints is treated within the framework of the finite element method in time. Special emphasis is devoted to the satisfaction of the kinematic constraints and their time derivative within a time element.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"19 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135933837","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Motion Reconstruction of Fast-rotating Rigid Bodies 快速旋转刚体的运动重建

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-11-02 DOI: 10.1115/1.4063952

Rene Neurauter, Stefan Holzinger, Michael Neuhauser, Jan-Thomas Fischer, Johannes Gerstmayr

{"title":"Motion Reconstruction of Fast-rotating Rigid Bodies","authors":"Rene Neurauter, Stefan Holzinger, Michael Neuhauser, Jan-Thomas Fischer, Johannes Gerstmayr","doi":"10.1115/1.4063952","DOIUrl":"https://doi.org/10.1115/1.4063952","url":null,"abstract":"Abstract Motion reconstruction and navigation require accurate orientation estimation. Modern orientation estimation methods utilize filtering algorithms, such as the Kalman filter or Madgwick's algorithm. However, these methods do not address potential sensor saturation, which may occur within short time periods in highly dynamic applications, such as, e.g., particle tracking in snow avalanches, leading to inaccurate orientation estimates. In this paper, we present two algorithms for orientation estimation combining magnetometer and partially saturated gyrometer readings. One algorithm incorporates magnetic field vector observations and the full nonlinearity of the exponential map. The other, computationally more efficient algorithm builds on a linearization of the exponential map and is solved analytically. Both algorithms are then applied to measurement data from four different experiments, with two of them being snow avalanche experiments. Moreover, Madgwick's filtering algorithm was used to validate the proposed algorithms. The two algorithms improved the orientation estimation significantly in all experiments. Hence, the proposed algorithms can improve the performance of existing sensor fusion algorithms significantly.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"2 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135934324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Numerical Treatment For The Solution Of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method 用Lerch运算矩阵法求解随机分数阶微分方程的数值处理

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-27 DOI: 10.1115/1.4063885

P. K. Singh, Santanu Saha Ray

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Dynamic Modeling and Control of a Flexible Planar Three Link Mechanism Using Joint and Piezoelectric Actuators 基于关节和压电作动器的平面柔性三连杆机构动力学建模与控制

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-18 DOI: 10.1115/1.4063563

Daniel Hill

引用次数: 0

Caputo and Conformable Fractional Order Guava Model for Biological Pest Control: Discretization, Stability and Bifurcation 生物害虫防治的Caputo和适形分数阶Guava模型:离散化、稳定性和分岔

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-18 DOI: 10.1115/1.4063555

Senol Kartal

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Panic-Pressure Conversion Model From Microscopic Pedestrian Movement to Macroscopic Crowd Flow 从微观行人运动到宏观人群流动的恐慌-压力转换模型

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-18 DOI: 10.1115/1.4063505

Wenjie Zhu, Rongyong Zhao, Hao Zhang, Cuiling Li, Ping Jia, Yunlong Ma, Dong Wang, Miyuan Li

{"title":"Panic-Pressure Conversion Model From Microscopic Pedestrian Movement to Macroscopic Crowd Flow","authors":"Wenjie Zhu, Rongyong Zhao, Hao Zhang, Cuiling Li, Ping Jia, Yunlong Ma, Dong Wang, Miyuan Li","doi":"10.1115/1.4063505","DOIUrl":"https://doi.org/10.1115/1.4063505","url":null,"abstract":"Abstract Understanding the effects of panic on crowd dynamics in emergency situations has long been considered necessary for pedestrian evacuation control. In the case of disasters, stampedes caused by panic behaviors occur with high possibility, and pedestrians are crushed or trampled, leading to enormous casualties. To eliminate the computational errors accumulated in the traditional macromodel, a macro-microconversion model based on the SF (social force) model and the AR (Aw-Rascle) model is proposed in this paper. The purpose is to use the crowd parameters of the microscopic model as the input part of the macroscopic model and to combine the advantages of the two models to ensure accuracy and improve calculation performance. The concept of the “pressure term” is defined to measure the panic level of the crowd. In addition, a flowchart of the numerical simulation is designed based on the road network conditions at the trampling site. To validate the conversion model, a numerical simulation is conducted in a case study of the Mecca Hajj stampede in 2015. The simulation results display the whole process of crowd marching and meeting with the dynamic variations of the “pressure term.” The simulation results are compared with the traditional simulation results based on a Gaussian distribution, which verifies that the simulation results obtained by the proposed method are closer to the real situation. Moreover, in this study, a new micromacro transformation method for crowd evaluation dynamics, which can enhance computing speed and execution efficiency, is provided.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135824175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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A Second-order Scheme for the Generalized Time-fractional Burgers' Equation 广义时间分数型Burgers方程的二阶格式

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-16 DOI: 10.1115/1.4063792

Reetika Chawla, Devendra Kumar, Satpal Singh

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Novel Single Bounded Input Control Synchronization Criterion for a Category of Hyperchaotic & Chaotic Systems in Presence of Uncertainties 一类超混沌的单有界输入控制同步新准则存在不确定性的混沌系统

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Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-13 DOI: 10.1115/1.4063723

None Pallav, Himesh Handa, Bharat Bhushan Sharma

{"title":"Novel Single Bounded Input Control Synchronization Criterion for a Category of Hyperchaotic & Chaotic Systems in Presence of Uncertainties","authors":"None Pallav, Himesh Handa, Bharat Bhushan Sharma","doi":"10.1115/1.4063723","DOIUrl":"https://doi.org/10.1115/1.4063723","url":null,"abstract":"Abstract Dynamical systems that have a chaotic underlying structure have a sensitive dependency on the initial conditions and the values of their parameters. In this piece of work, a straightforward method for solving the synchronization issue in master-slave arrangement for a category of chaotic or hyperchaotic systems, in which perturbations are present in the parameters of the response system, is discussed. The desired control signal is bounded by the initial state when the controller is activated. There is just one control input that is used, and it is derived from Lyapunov&amp;#39;s concept of stability. In general, it is tricky to synchronize hyperchaotic or chaotic systems with single controller, and the work turns out to be significantly more complex when the parameters of the slave system are perturbed. The feedback controller using single input that has been constructed makes certain that the state variables of the response system are in synchronization with the state variables that correspond to them in the drive system. In order to attain the desired level of synchronization, the required conditions that must be satisfied to do so have been identified utilizing Lyapunov's stability analysis in a simple manner. In addition, numerical illustrations have been provided in order to support and confirm the theoretical findings of the paper.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135855426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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