Journal of Computational and Nonlinear Dynamics最新文献

Nonlinear Static and Dynamic Responses of a Floating Rod Pendulum 浮动杆摆的非线性静态和动态响应

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-07-05 DOI: 10.1115/1.4065899

M. K. Al-Solihat

引用次数: 0

A Posteriori Error Analysis of Defect Correction Method for Singular Perturbation Problems with Discontinuous Coefficient and Point Source 具有不连续系数和点源的奇异扰动问题缺陷校正方法的后验误差分析

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-07-05 DOI: 10.1115/1.4065900

Aditya Kaushik, Shivani Jain

引用次数: 0

Full-Dimensional PD Control Technique for Turing Pattern and Bifurcation of Delayed Reaction-Diffusion Bi-Directional Ring Neural Networks 延迟反应-扩散双向环状神经网络图灵模式和分岔的全维 PD 控制技术

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-07-03 DOI: 10.1115/1.4065881

Xiangyu Du, Min Xiao, Yifeng Luan, Jie Ding, Leszek Rutkowski

{"title":"Full-Dimensional PD Control Technique for Turing Pattern and Bifurcation of Delayed Reaction-Diffusion Bi-Directional Ring Neural Networks","authors":"Xiangyu Du, Min Xiao, Yifeng Luan, Jie Ding, Leszek Rutkowski","doi":"10.1115/1.4065881","DOIUrl":"https://doi.org/10.1115/1.4065881","url":null,"abstract":"\u0000 In neural networks, the states of neural networks often exhibit significant spatio-temporal heterogeneity due to the diffusion effect of electrons and differences in the concentration of neurotransmitters. One of the macroscopic reflections of this time-spatial inhomogeneity is Turing pattern. However, most current research in reaction-diffusion neural networks has focused only on one-dimensional location information, and the remaining results considering two-dimensional location information are still limited to the case of two neurons. In this paper, we conduct the dynamic analysis and optimal control of a delayed reaction-diffusion neural network model with bi-directional loop structure. First, several mathematical descriptions are given for the proposed neural network model and the full-dimensional partial differential proportional-derivative (PD) controller is introduced. Second, by analyzing the characteristic equation, the conditions for Hopf bifurcation and Turing instability of the controlled network model are obtained. Furthermore, the amplitude equation of the controlled neural network is obtained based on the multi-scale analysis method. Subsequently, we determine the key parameters affecting the formation of Turing pattern depending on the amplitude equation. Finally, multiple sets of computer simulations are carried out to support our theoretical results. It is found that the diffusion coefficients and time delays have significant effects on spatio-temporal dynamics of neural networks. Moreover, after reasonable parameter proportioning, the full-dimensional PD control method can alleviate the spatial heterogeneity caused by diffusion projects and time delays.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"72 s323","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Tensor-Based Data-Driven Identification of Partial Differential Equations 基于张量的偏微分方程数据驱动识别

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-06-10 DOI: 10.1115/1.4065691

Wanting Lin, Xiaofan Lu, Linan Zhang

引用次数: 0

Hand Vibration Reduction Using Nonlinear Vibration Absorber for the Vibro-Impact Hammer Model 使用非线性振动吸收器减少振动冲击锤模型的手部振动

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-03-26 DOI: 10.1115/1.4065192

Oreoluwa Alabi, S. K. Gupta, Oumar Barry

{"title":"Hand Vibration Reduction Using Nonlinear Vibration Absorber for the Vibro-Impact Hammer Model","authors":"Oreoluwa Alabi, S. K. Gupta, Oumar Barry","doi":"10.1115/1.4065192","DOIUrl":"https://doi.org/10.1115/1.4065192","url":null,"abstract":"\u0000 This work investigates the effectiveness of a passive vibration control device to minimize the amplitude of vibrations from a handheld impact machine (HHIM) transmitted to a hand-arm system. For this purpose, we employ a simplified lumped parameter model of an HHIM and the hand-arm system consisting of lumped masses, springs, and viscous dampers. For a better understanding of the system dynamics, we use a vibro-impact model for a more accurate representation of HHIM-ground interactions. We then examine the effectiveness of a cubic nonlinear vibration absorber in minimizing these undesirable vibrations via a nonlinear bifurcation analysis of the system. A parametric study on the numerical bifurcation analysis of the system reveals the criticality of different design parameters of the proposed nonlinear vibration absorber on the system dynamics. Our findings demonstrate that an appropriate selection of absorber parameters could significantly change the amplitude and the periodicity of vibrations transmitted to the hand. Furthermore, we observe the existence of complex motions such as period-2, period-4, and chaotic attractors in the system for the given values of the absorber and operating parameters.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"122 29","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140380046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Reviewer's Recognition 评审员表彰

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-29 DOI: 10.1115/1.4064764

引用次数: 0

Modeling of Vehicle Mobility in Shallow Water with Data-Driven Hydrodynamics Model 利用数据驱动的水动力学模型模拟车辆在浅水中的流动性

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-29 DOI: 10.1115/1.4064971

Hiroki Yamashita, J. E. Martin, Nathan Tison, Arkady Grunin, P. Jayakumar, Hiroyuki Sugiyama

{"title":"Modeling of Vehicle Mobility in Shallow Water with Data-Driven Hydrodynamics Model","authors":"Hiroki Yamashita, J. E. Martin, Nathan Tison, Arkady Grunin, P. Jayakumar, Hiroyuki Sugiyama","doi":"10.1115/1.4064971","DOIUrl":"https://doi.org/10.1115/1.4064971","url":null,"abstract":"\u0000 In this study, a data-driven hydrodynamics model is proposed to enable quick prediction of vehicle mobility in shallow water, considering the effect of tire-soil interaction. To this end, a high-fidelity coupled vehicle-water interaction model using computational fluid dynamics (CFD) and multibody dynamics (MBD) solvers is developed to characterize the hydrodynamic loads exerted on a vehicle operated in shallow water, and it is used to generate training data for the data-driven hydrodynamics model. To account for the history-dependent hydrodynamic behavior, a Long Short-Term Memory (LSTM) neural network is introduced to incorporate effects of the historical variation of vehicle motion states as the input to the data-driven model, and it is used to predict hydrodynamic loads online exerted on vehicle components in the MBD mobility simulation. The impacts of hydrodynamic loads on the vehicle mobility capability in shallow water are examined for different water depths and incoming flow speeds using the high-fidelity coupled CFD-MBD model. Furthermore, it is demonstrated that the vehicle-water interaction behavior in scenarios not considered in the training data can be predicted using the proposed LSTM data-driven hydrodynamics model. However, the use of non-LSTM layers, which do not account for the sequential variation of vehicle motion states as the input, leads to an inaccurate prediction. A substantial computational speedup is achieved with the proposed LSTM-MBD vehicle-water interaction model while ensuring accuracy, compared to the computationally expensive high-fidelity coupled CFD-MBD model.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"758 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140416942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Compactons in Higher-order Nesterenko's-Type Equations 高阶涅斯捷连科类型方程中的紧凑子

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-20 DOI: 10.1115/1.4064796

Vsevolod A. Vladimirov, S. Skurativskyi

{"title":"Compactons in Higher-order Nesterenko's-Type Equations","authors":"Vsevolod A. Vladimirov, S. Skurativskyi","doi":"10.1115/1.4064796","DOIUrl":"https://doi.org/10.1115/1.4064796","url":null,"abstract":"\u0000 A model describing propagation of waves in a pre-stressed granular media is considered. The model, having the form of evolutionary PDE, is obtained from the system of ODEs describing dynamics of a chain of pre-stressed granules by means of formal asymptotic expansion. It is shown in our previous papers, that in the lowest asymptotic approximation, in which both nonlinear effects and the presence of media structure are taken into account, the model equation possesses traveling wave (TW) solutions with compact support (compactons) manifesting soliton properties.\u0000 In this paper, we study a higher-order evolutionary PDE obtained by taking into account previously discarded terms of the asymptotic expansion, as well as another PDE (called analogue), differing from the original one in the values of parameters, and having compacton solutions expressed in analytical form. Numerical and analytical studies of both the higher-order model and its analogue allow to conclude that both models have compacton solutions exhibiting some properties of “true” solitons. This, in turn, testifies the stability of the previously used model with respect to the inclusion of the discarded terms of the asymptotic expansion.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"238 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140447019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Inertial Parameter Identification for Closed-Loop Mechanisms: Adaptation of Linear Regression for Coordinate Partitioning 闭环机械装置的惯性参数识别：适应坐标划分的线性回归

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-20 DOI: 10.1115/1.4064794

L. Pyrhönen, Thijs Willems, A. Mikkola, Frank Naets

引用次数: 0

Introduction of Local Resonators to a Nonlinear Metamaterial with Topological Features 为具有拓扑特征的非线性超材料引入局部谐振器

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064726

Joshua LeGrande, A. Malla, M. Bukhari, Oumar Barry

{"title":"Introduction of Local Resonators to a Nonlinear Metamaterial with Topological Features","authors":"Joshua LeGrande, A. Malla, M. Bukhari, Oumar Barry","doi":"10.1115/1.4064726","DOIUrl":"https://doi.org/10.1115/1.4064726","url":null,"abstract":"\u0000 Recent work in nonlinear topological metamaterials has revealed many useful properties such as amplitude dependent localized vibration modes and nonreciprocal wave propagation. However, thus far, there have not been any studies to include the use of local resonators in these systems. This work seeks to fill that gap through investigating a nonlinear quasiperiodic metamaterial with periodic local resonator attachments. We model a 1-dimensional metamaterial lattice as a spring-mass chain with coupled local resonators. Quasiperiodic modulation in the nonlinear connecting springs is utilized to achieve topological features. For comparison, a similar system without local resonators is also modeled. Both analytical and numerical methods are used to study this system. The dispersion relation of the infinite chain of the proposed system is determined analytically through the perturbation method of multiple scales. This analytical solution is compared to the finite chain response, estimated using the method of harmonic balance and solved numerically. The resulting band structures and mode shapes are used to study the effects of quasiperiodic parameters and excitation amplitude on the system behavior both with and without the presence of local resonators. Specifically, the impact of local resonators on topological features such as edge modes is established, demonstrating the appearance of a trivial bandgap and multiple localized edge states for both main cells and local resonators. These results highlight the interplay between local resonance and nonlinearity in a topological metamaterial demonstrating for the first time the presence of an amplitude invariant bandgap alongside amplitude dependent topological bandgaps.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"86 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139784421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0