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

An Enhanced Nonlinear Energy Sink for Hybrid Bifurcation Control and Energy Harvesting From Aeroelastic Galloping Phenomena 一种用于混合分岔控制的增强型非线性能量汇，以及从气动弹性奔腾现象中收集能量

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-21 DOI: 10.1115/1.4064721

José A. Ignácio da Silva, Flávio D. Marques, L. Sanches, G. Michon

{"title":"An Enhanced Nonlinear Energy Sink for Hybrid Bifurcation Control and Energy Harvesting From Aeroelastic Galloping Phenomena","authors":"José A. Ignácio da Silva, Flávio D. Marques, L. Sanches, G. Michon","doi":"10.1115/1.4064721","DOIUrl":"https://doi.org/10.1115/1.4064721","url":null,"abstract":"\u0000 Galloping is a self-excited vibration problem that structures immersed in fluid flow can experience. Due to its essential nonlinear phenomena, the structure exhibits limit cycle oscillations (LCOs), which, at high levels, can lead to failure of the systems. This work proposes an investigation of electromagnetic-enhanced Nonlinear Energy Sinks (NES-EH) for the hybrid control of aeroelastic LCOs and energy harvesting. The study focuses on a prismatic bluff body with a linear suspension immersed in the airflow, using classical steady nonlinear modeling for aerodynamic loads. The conventional NES approach is adopted, employing cubic stiffness and linear damping. Additionally, a linear electromagnetic transducer is included in the assembly for the energy harvesting process. By combining the method of multiple scales with the Harmonic Balance Method, analytical solutions are derived to characterize the system's dynamics under the influence of the device. The different response domains and their respective boundaries induced by the NES-EH are characterized based on the bifurcation diagrams. Furthermore, a Slow Invariant Manifold characterization is presented for each induced response domain, and its significant features are discussed. Parametric studies are carried out based on bifurcation analyses to assess the effect of NES-EH parameters on the galloping system dynamics, which allows for designing the absorber parameters. The electrical resistance is optimized to maximize the harvested power. The optimal design of NES-EH is then compared with classical energy harvesting solutions for the galloping problem. Additionally, a thorough analysis of the Target Energy Transfer phenomenon is performed.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"11 47","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140442903","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

A New Method for Solving Physical Problems with Nonlinear Phoneme within Fractional Derivatives with Singular Kernel 用奇异核分式导数解决非线性音素物理问题的新方法

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064719

Sondos M. Syam, Z. Siri, Sami Altoum, M. Aigo, R. Md Kasmani

引用次数: 0

Alternate Forms to Lagrange-D'Alembert Principle for Treatment of Rheonomic Constraints 处理流变学约束的拉格朗日-达朗贝尔原理的替代形式

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064722

A. Shabana

{"title":"Alternate Forms to Lagrange-D'Alembert Principle for Treatment of Rheonomic Constraints","authors":"A. Shabana","doi":"10.1115/1.4064722","DOIUrl":"https://doi.org/10.1115/1.4064722","url":null,"abstract":"\u0000 Lagrange-D'Alembert principle is based on the concept of the non-actual and non-measurable virtual displacement and the assumption that the system-constraint forces are workless. Because time is not considered in defining the virtual displacements, virtual changes in prescribed displacements that characterize rheonomic constraints, referred to as driving constraints, are zero. Consequently, Lagrange-D'Alembert principle does not account systematically, from the outset, for rheonomic constraints, which are not workless and have power associated with them. In multibody system (MBS) implementations, rheonomic-constraint forces are considered as constraint forces and not as applied forces. Consequently, the statement of the virtual-work principle that virtual work of the system-inertia forces is equal to the virtual work of the system-applied forces because the virtual work of system-constraint forces is zero omits inclusion of rheonomic constraints forces. This paper discusses using alternate forms to Lagrange-D'Alembert's principle to account for rheonomic constraints from the outset by using actual and measurable variables to replace the virtual displacements. The analysis presented in this paper, which is applicable to both holonomic and non-holonomic systems, shows that the power of the system-inertia forces is equal to the power of the system-applied forces plus the power of rheonomic-constraint forces. It is shown that when redundant coordinates are used, the effect of the rheonomic constraints appears explicitly in the constraint equations; while this effect appears as generalized inertia forces when using the independent coordinates.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"61 28","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139844298","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

Influence of Unbalance and Differential Pressure On the Stability of Vertical Rotor-seal System 不平衡和压差对垂直转子密封系统稳定性的影响

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064725

S. Roy Kimura, Tsuyoshi Inoue, Hiroo Taura, Akira Heya

{"title":"Influence of Unbalance and Differential Pressure On the Stability of Vertical Rotor-seal System","authors":"S. Roy Kimura, Tsuyoshi Inoue, Hiroo Taura, Akira Heya","doi":"10.1115/1.4064725","DOIUrl":"https://doi.org/10.1115/1.4064725","url":null,"abstract":"\u0000 The rotordynamic (RD) fluid force generated in fluid elements such as seals in turbomachinery affects the stability of turbomachinery and causes shaft vibrations. Various studies have been conducted to clarify the effects of seals on the stability of rotor systems. Many studies have investigated the rotor dynamics of horizontal shaft systems, considering the RD fluid force generated in the seals, and in these studies, the stability of horizontal shaft systems has been assessed via eigenvalue analysis using RD coefficients. However, few studies have analyzed vertical shaft systems. The dynamic behavior of vertical shafts differs significantly from that of horizontal shafts because the weight of the rotor does not act on the seal in a vertical shaft system. Vertical shaft systems are generally prone to instability because of the fluid film whirl, and the amplitude of the shaft whirl tends to be large. When the amplitude is large, the RD fluid force cannot be linearized around the equilibrium point using RD coefficients. Therefore, destabilization and stabilization phenomena that appear in vertical shaft systems cannot be predicted using eigenvalue analysis. Fluid-structure interaction (FSI) analysis that considers the interaction between the shaft vibration and the RD fluid force generated in seals is required to predict such phenomena. This study used FSI analysis to investigate the effects of unbalance and differential pressure on the stability of a vertical shaft system subjected to RD fluid force generated in the seal.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"67 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139784810","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

Alternate Forms to Lagrange-D'Alembert Principle for Treatment of Rheonomic Constraints 处理流变学约束的拉格朗日-达朗贝尔原理的替代形式

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064722

A. Shabana

{"title":"Alternate Forms to Lagrange-D'Alembert Principle for Treatment of Rheonomic Constraints","authors":"A. Shabana","doi":"10.1115/1.4064722","DOIUrl":"https://doi.org/10.1115/1.4064722","url":null,"abstract":"\u0000 Lagrange-D'Alembert principle is based on the concept of the non-actual and non-measurable virtual displacement and the assumption that the system-constraint forces are workless. Because time is not considered in defining the virtual displacements, virtual changes in prescribed displacements that characterize rheonomic constraints, referred to as driving constraints, are zero. Consequently, Lagrange-D'Alembert principle does not account systematically, from the outset, for rheonomic constraints, which are not workless and have power associated with them. In multibody system (MBS) implementations, rheonomic-constraint forces are considered as constraint forces and not as applied forces. Consequently, the statement of the virtual-work principle that virtual work of the system-inertia forces is equal to the virtual work of the system-applied forces because the virtual work of system-constraint forces is zero omits inclusion of rheonomic constraints forces. This paper discusses using alternate forms to Lagrange-D'Alembert's principle to account for rheonomic constraints from the outset by using actual and measurable variables to replace the virtual displacements. The analysis presented in this paper, which is applicable to both holonomic and non-holonomic systems, shows that the power of the system-inertia forces is equal to the power of the system-applied forces plus the power of rheonomic-constraint forces. It is shown that when redundant coordinates are used, the effect of the rheonomic constraints appears explicitly in the constraint equations; while this effect appears as generalized inertia forces when using the independent coordinates.","PeriodicalId":506262,"journal":{"name":"Journal of Computational and Nonlinear Dynamics","volume":"86 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139784419","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

Chaotic Dynamics of a Duffing Oscillator Subjected to External and Nonlinear Parametric Excitations with Delayed Feedbacks 带有延迟反馈的外部和非线性参数激励下的达芬振荡器的混沌动力学

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064723

Aijia Ding, Sengen Hu, Liangqiang Zhou

引用次数: 0

The Approximate Analysis of Higher-Order Frequencies of Nonlinear Vibrations of a Cantilever Beam with the Extended Galerkin Method 用扩展伽勒金方法近似分析悬臂梁非线性振动的高阶频率

Journal of Computational and Nonlinear Dynamics Pub Date : 2024-02-12 DOI: 10.1115/1.4064724

Baochen Meng, Chencheng Lian, Ji Wang, Huimin Jing, Rongxing Wu, Ji Lin, Isaac Elishakoff

引用次数: 0