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This paper studies the steady-state oscillations and the corresponding energy transfers in the two-DOF mechanical system with a grounded nonlinear energy sink (NES), under an external excitation. Based on the complexification-multiscale…

Chaotic Dynamics · Physics 2024-11-18 Lan Huang , Xiaodong Yang

A bistable nonlinear energy sink conceived to mitigate the vibrations of host structural systems is considered in this paper. The hosting structure consists of two coupled symmetric linear oscillators (LOs) and the nonlinear energy sink…

Adaptation and Self-Organizing Systems · Physics 2019-01-17 Giuseppe Habib , Francesco Romeo

A linear vibration absorber can be tuned to effectively suppress the resonance of a particular vibration mode. It relies on the targeted energy transfer into the absorber within a narrow and fixed frequency band. Nonlinear energy sinks…

Applied Physics · Physics 2020-12-16 Timo Theurich , Johann Gross , Malte Krack

Targeted energy transfer (TET) from a Van der Pol oscillator coupled to a nonlinear energy sink (NES) is investigated under the action of a high-frequency external drive, which tunes the effective natural stiffness and promotes resonance…

Chaotic Dynamics · Physics 2026-04-14 Somnath Roy , Mattia Coccolo , Sayan Gupta , Miguel A. F. Sanjuán

Various dynamical engineering systems involve purely nonlinear stiffness that lacks linear properties even under the assumption of small displacements. The most common is the cubic nonlinearity that may stem from either geometric or…

Chaotic Dynamics · Physics 2021-06-07 Maor Farid

This work addresses non-classically damped coupled oscillators with closely spaced modes focusing on the physics of modal interactions. Considering the simplest representative example in the form of an impulsively excited…

The present investigation deals with the dynamics of a two-degrees-of-freedom system which consists of a main linear oscillator and a strongly nonlinear absorber with small mass. The nonlinear oscillator has a softening hysteretic…

Chaotic Dynamics · Physics 2008-01-29 Denis Laxalde , Fabrice Thouverez , Jean-Jacques Sinou

The paper deals with the passive control of resonant systems using nonlinear energy sink (NES). The objective is to highlight the benefits of adding nonlinear geometrical damping in addition to the cubic stiffness nonlinearity. The…

Classical Physics · Physics 2025-04-28 Etienne Gourc , Pierre-Olivier Mattei , Renaud Côte , Matteo Capaldo

The multinucleon transfer reactions near barrier energies has been investigated with a multistep model based on the dinuclear system (DNS) concept, in which the capture of two colliding nuclei, the transfer dynamics and the de-excitation…

Nuclear Theory · Physics 2018-01-03 Fei Niu , Peng-Hui Chen , Ya-Fei Guo , Chun-Wang Ma , Zhao-Qing Feng

We study the problem of optimizing the performance of a nonlinear spring-mass-damper attached to a class of multiple-degree-of-freedom systems. We aim to maximize the rate of one-way energy transfer from primary system to the attachment,…

Dynamical Systems · Mathematics 2017-06-27 Astitva Tripathi , Piyush Grover , Tamas Kalmár-Nagy

In this paper, we show that a nonequilibrium steady state (NESS) exists at late times in open quantum systems with weak nonlinearity by following its nonequilibrium dynamics with a perturbative analysis. Here we consider an oscillator chain…

Quantum Physics · Physics 2020-09-14 Jing Yang , Jen-Tsung Hsiang , Andrew N. Jordan , B. L. Hu

Late transition-metal oxides with small charge-transfer energy $\Delta$ raise issues for state-of-the-art correlated electronic structure schemes such as the combination of density functional theory (DFT) with dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2019-09-17 Frank Lechermann , Wolfgang Körner , Daniel F. Urban , Christian Elsässer

Grid-following (GFL) inverters have very different large-signal stability characteristics to synchronous generators, and convenient concepts such as the equal-area criterion and global energy function do not apply in the same way. Existing…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Yifan Zhang , Yaoxin Wang , Yunjie Gu , Yitong Li , Sijia Geng , Yue Zhu , Hsiao-Dong Chiang , Timothy C. Green

The dynamical mechanism of multinucleon transfer (MNT) reactions has been investigated within the dinuclear system (DNS) model, in which the sequential nucleon transfer is described by solving a set of microscopically derived master…

Nuclear Theory · Physics 2020-03-05 Peng-Hui Chen , Fei Niu , Wei Zuo , Zhao-Qing Feng

We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

Chaotic Dynamics · Physics 2018-08-15 Nathan Perchikov , O. V. Gendelman

We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derived and their ground state structures are…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 P. G. Kevrekidis , S. V. Dmitriev , S. Takeno , A. R. Bishop , E. C. Aifantis

In this paper one first shows that the slow flow of a mechanical system with one unstable mode coupled to a Nonlinear Energy Sink (NES) can be reduced, in the neighborhood of a fold point of its critical manifold, to a normal form of the…

Chaotic Dynamics · Physics 2026-05-27 Baptiste Bergeot

Energy dissipation is an unavoidable phenomenon of physical systems that are directly coupled to an external environmental bath. The ability to engineer the processes responsible for dissipation and coupling is fundamental to manipulate the…

Classical Physics · Physics 2017-06-28 Changyao Chen , Damián H. Zanette , David Czaplewski , Steven Shaw , Daniel López

Biomolecular light-harvesting antennas operate as nanoscale devices in a regime where the coherent interactions of individual light, matter and vibrational quanta are non-perturbatively strong. The complex behaviour arising from this could,…

Quantum Physics · Physics 2020-07-28 A. W. Chin , B. Le Dé , E. Mangaud , O. Atabek , M. Desouter-Lecomte

This study investigates the nonlinear dynamics of a symmetric vibro-impact nonlinear energy sink (VI-NES) subjected to dry friction, a crucial factor that remains insufficiently explored in previous research. The combined effect of impact…

Chaotic Dynamics · Physics 2025-11-03 Balkis Youssef , A. Yassine Karoui , Remco I. Leine
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