Journal of Computational and Nonlinear Dynamics最新文献_第3页

Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based On the ALE Method 基于ALE方法的约束公式在非线性晃动问题中的应用

4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-10 DOI: 10.1115/1.4063722

Kensuke Hara

{"title":"Application of the Constrained Formulation to the Nonlinear Sloshing Problem Based On the ALE Method","authors":"Kensuke Hara","doi":"10.1115/1.4063722","DOIUrl":"https://doi.org/10.1115/1.4063722","url":null,"abstract":"Abstract This study deals with an application of constrained formulation to a nonlinear sloshing problem based on the Arbitrary Lagrangian-Eulerian finite element method (ALE). The ALE method incorporates a discretized form of equations of motion with mesh updating algorithms in order to prevent a problem of mesh distortion. This paper focuses on an analytical aspect of such treatments as constrained systems in the formulation of the ALE method. Since the mesh updating algorithms give algebraic relations for nodal coordinates, this study treats these relations as constraints. Then, we introduce formulation for constrained systems based on the method of Lagrange multipliers. As a result of this formulation, equations of motion are given by differential algebraic equations (DAEs) consisting of differential equations for time evolution of physical quantities and algebraic equations (constraints). The present method can be classified into a kind of augmented formulation. In particular, the present approach is motivated by the inherent simplicity of the DAEs. Moreover, we present a matrix size reduction technique used in the Newton-Raphson method in order to remove a part of the redundant degrees of freedom in the iterative procedures, because the resulting set of DAEs involves a larger number of unknowns than the minimal number of degrees of freedom due to the introduction of the constrained formulation. In addition, this study presents a method to introduce damping effects defined in the modal space into the FEM models. The proposed approach is validated by comparisons with experimental data in the time domain analysis.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"250 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136352590","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

Multibody Constraints in the Geometrically-Nonlinear Intrinsic Formulation 几何非线性固有公式中的多体约束

4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-10 DOI: 10.1115/1.4063724

Yinan Wang, Keisuke Otsuka

{"title":"Multibody Constraints in the Geometrically-Nonlinear Intrinsic Formulation","authors":"Yinan Wang, Keisuke Otsuka","doi":"10.1115/1.4063724","DOIUrl":"https://doi.org/10.1115/1.4063724","url":null,"abstract":"Abstract The intrinsic formulation for geometrically-nonlinear beam dynamics provides a compact and versatile description of slender beam-like structures. With nonlinearities limited to second-order couplings in the formulation, it has been an attractive choice in formulating nonlinear reduced-order models for dynamic analysis and control design in aeroelasticity problems involving large displacements and rotations. Owing to its rotation-free formalism, the intrinsic formulation has not been formulated to accommodate multibody constraints, limiting its use against multibody structures with kinematic constraints. This work aims to address such weakness as we present developments in introducing multibody constraints into the full and reduced-order intrinsic equations while still preserving the beneficial traits of the method. We describe the resolution of displacement-level constraints using index-1 approach and adaptation of constraint stabilisation strategies to the intrinsic formulation using state projection. The numerical behaviour of the full- and reduced-order implementations are assessed using test cases with large static and dynamic deformations with time-domain simulations to demonstrate validity of the approach.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136294331","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

Modified Atangana-Baleanu Caputo Operator for Time-Fractional Kuramoto-Sivashinsky Equation via Quintic B-Splines 基于五次b样条的时间分数型Kuramoto-Sivashinsky方程的改进Atangana-Baleanu Caputo算子

4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-09-29 DOI: 10.1115/1.4063554

Komal Deswal, Renu Choudhary, Devendra Kumar

引用次数: 0

The Singularity of Expanded Jacobian Matrix in IHB Method Directly Locates Bifurcation Points of Steady State Responses IHB方法中展开雅可比矩阵的奇异性直接定位了稳态响应的分岔点

4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-09-28 DOI: 10.1115/1.4063400

Y.M. Chen, J.K. Liu

引用次数: 0

Discussion on the paper “A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates, Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Journal of Computational and Nonlinear Dynamics, July 2022, Vol. 17, 071008” 论文“平面和振荡板上分数阶混合对流流动的数值格式”的讨论，Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh，计算与非线性动力学学报，2022年7月，Vol. 17, 071008

IF 2 4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-09-04 DOI: 10.1115/1.4063336

A. Pantokratoras

引用次数: 0

Bifurcation Analysis Of Driver's Characteristics In Car-Following Model 汽车跟随模型中驾驶员特征的分岔分析

IF 2 4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-09-04 DOI: 10.1115/1.4063338

Sunita Yadav, Poonam Redhu

{"title":"Bifurcation Analysis Of Driver's Characteristics In Car-Following Model","authors":"Sunita Yadav, Poonam Redhu","doi":"10.1115/1.4063338","DOIUrl":"https://doi.org/10.1115/1.4063338","url":null,"abstract":"\u0000 According to traffic flow theory, traffic is affected not only by road conditions such as bottlenecks, the environment, interruptions, and so on but also by the driver's behavior. To control and manage increasingly complex traffic networks, it also becomes necessary to study the effects of driver characteristics significantly. In this research, a novel car-following model is proposed which considers both the driver's cautious and aggressive instincts for optimal and relative velocity integrals. To analyze the stability of the new model, a small perturbation method was used. Further, the modified Korteweg-de Vries equations were established with the help of a reductive perturbation method. In bifurcation analysis, we examine the existence and stability of Hopf bifurcation in various systems. This helps to gain deeper insight into the behavior of these dynamical systems and can be used to develop more efficient control strategies. Numerical simulations and theoretical analyses both show that the aspects of the enhanced model related to driver characteristics have a major effect on traffic flow stability. Additionally, the model can adeptly handle traffic congestion and quickly return to its normal state if any disruption occurs.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"32 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80389307","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

On The Inverse Problem Of Time Dependent Coefficient In A Time Fractional Diffusion Problem By Newly Defined Monic Laquerre Wavelets 用新定义的moniclaquerre小波研究时间分数阶扩散问题中时间相关系数的逆问题

IF 2 4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-09-04 DOI: 10.1115/1.4063337

M. Bayrak, Ali Demir

引用次数: 0

Real-Time Measurement Of Track Irregularities Using An Instrumented Axle And Kalman Filtering Techniques 利用仪表轴和卡尔曼滤波技术实时测量轨道不平整度

IF 2 4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-09-04 DOI: 10.1115/1.4063339

S. Muñoz, P. Urda, Xinxi Yu, A. Mikkola, J. Escalona

{"title":"Real-Time Measurement Of Track Irregularities Using An Instrumented Axle And Kalman Filtering Techniques","authors":"S. Muñoz, P. Urda, Xinxi Yu, A. Mikkola, J. Escalona","doi":"10.1115/1.4063339","DOIUrl":"https://doi.org/10.1115/1.4063339","url":null,"abstract":"\u0000 A model-based methodology for the estimation of both lateral and vertical track irregularities is presented. This methodology, based on Kalman filter techniques, was developed for an independent and compact measuring system comprising an instrumented axle equipped with a limited set of low-cost sensors: a 3D gyroscope, a Linear Variable Differential Transformer (LVDT) distance sensor and an encoder. The instrumented axle can be used on any railway vehicle travelling at moderate forward speed to provide measurements in real-time. The proposed methodology, combined with the instrumented axle, enables precise and prompt measurement of track irregularities. An experimental campaign carried out on a 1:10 scale track facility at the University of Seville validated both the system and the methodology. In the testing, 80 meters of scaled track was measured at an operational speed of V = 0.65 m/s in just two minutes. Simulation estimates for track irregularities compared against the measured data from the testing showed a good performance of the proposed methodology, with maximum errors of 0.45 mm in the short wavelength range D1, the range most influential to vehicle dynamic behavior.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"20 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77478604","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

Cable SCARA Robot Controlled by a Neural Network Using Reinforcement Learning 基于强化学习的神经网络控制电缆SCARA机器人

IF 2 4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-08-24 DOI: 10.1115/1.4063222

E. Okabe, Victor Paiva, Luis Silva-Teixeira, J. Izuka

{"title":"Cable SCARA Robot Controlled by a Neural Network Using Reinforcement Learning","authors":"E. Okabe, Victor Paiva, Luis Silva-Teixeira, J. Izuka","doi":"10.1115/1.4063222","DOIUrl":"https://doi.org/10.1115/1.4063222","url":null,"abstract":"\u0000 In this work, three reinforcement learning algorithms (Proximal Policy Optimization, Soft Actor-Critic and Twin Delayed Deep Deterministic Policy Gradient) are employed to control a two link SCARA robot. This robot has three cables attached to its end-effector, which creates a triangular shaped workspace. Positioning the end-effector in the workspace is a relatively simple kinematic problem, but moving outside this region, although possible, requires a nonlinear dynamic model and a state-of-the-art controller. To solve this problem in a simple manner, reinforcement learning algorithms are used to find possible trajectories for three targets out of the workspace. Additionally, the SCARA mechanism offers two possible configurations for each end-effector position. The algorithm results are compared in terms of displacement error, velocity and standard deviation among ten trajectories provided by the trained network. The results indicate the Proximal Policy Algorithm as the most consistent in the analyzed situations. Still, the Soft Actor-Critic presented better solutions, and Twin Delayed Deep Deterministic Policy Gradient provided interesting and more unusual trajectories.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"3 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84167194","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

An Analytical Method For Sensitivity Analysis Of Rigid Multibody System Dynamics Using Projective Geometric Algebra 基于投影几何代数的刚体多体系统动力学灵敏度分析方法

IF 2 4区工程技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-08-24 DOI: 10.1115/1.4063225

Guangzhen Sun, Ye Ding

{"title":"An Analytical Method For Sensitivity Analysis Of Rigid Multibody System Dynamics Using Projective Geometric Algebra","authors":"Guangzhen Sun, Ye Ding","doi":"10.1115/1.4063225","DOIUrl":"https://doi.org/10.1115/1.4063225","url":null,"abstract":"\u0000 The analytical sensitivity analysis, i.e., the analytical first-order partial derivatives of dynamical equations, is one key to improving descent-based optimization methods for motion planning and control of robots. This paper proposes an efficient algorithm that recursively evaluates the analytic gradient of the dynamical equations of a multibody system. The theory of projective geometric algebra (PGA) is used to generate the algorithm. It provides a systemic and geometrically intuitive interpretation for the multibody system dynamics, and the resulting algorithm is highly efficient, with concise formula. The algorithm is first applied to the open-chain system and extended for the cases when kinematic loops are contained. The runtime varying with respect to the degree of freedom (DOF) of the system is analyzed. The results are compared with that obtained from the algorithm based on spatial vector algebra (SVA) using open-source MATLAB codes. A 2-DOF serial robot, a 3-DOF robot with a kinematic loop and the PUMA560 robot are used for the validation of the minimum-effort motion planning, and it is verified that the proposed algorithm improves the efficiency.","PeriodicalId":54858,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"134 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77375639","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