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Journal ArticleDOI

Parameters optimization for energy pumping in strongly nonhomogeneous 2 dof system

TLDR
In this article, the case of strongly nonhomogeneous nonlinear system with 2 dof was analyzed and an analytical form was obtained owing to the multiple scale analysis by using the complex variables.
Abstract
Parameters optimization for energy pumping is considered. The case of strongly nonhomogeneous nonlinear system with 2 dof is analyzed. Damping in strongly nonlinear energetic sink as well as in the linear primary structure are taken into account. In particular efficiency of energy pumping is studied by using an analytical expression. This analytical form is obtained owing to the multiple scale analysis by using the complex variables. Analytical results are confirmed by numerical ones. An experimental verification based on a reduced-scale building model is also considered.

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Citations
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Journal ArticleDOI

Designs, analysis, and applications of nonlinear energy sinks

TL;DR: A comprehensive review of state-of-the-art researches on NESs, highlighting possible complex dynamics resulting in a NES coupled to a structure and suggesting further promising directions, such as NESs for multidirectional vibration reduction, NESs with nonlinearities beyond the cubic, and potential deterioration caused by a NES.
Journal ArticleDOI

Passive non-linear targeted energy transfer and its applications to vibration absorption: A review

TL;DR: The concept of TET may be regarded as contrary to current common engineering practice, which generally views nonlinearities in engineering systems as either unwanted or, at most, small perturbations of linear behaviour as discussed by the authors.
Journal ArticleDOI

Experimental study of targeted energy transfer from an acoustic system to a nonlinear membrane absorber

TL;DR: In this paper, an experimental set-up has been developed using the air inside a tube as the acoustic linear system, a thin circular visco-elastic membrane as an essentially cubic oscillator and the air outside a box as a weak coupling between those two elements.
Journal ArticleDOI

Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink

TL;DR: In this article, the nonlinearity of the system is represented intentionally by a non-smooth piece-wise linear function for the sake of practical investigations, and stability analysis of the TET system is demonstrated and commented upon.
Journal ArticleDOI

Targeted energy transfer with parallel nonlinear energy sinks. Part I: Design theory and numerical results

TL;DR: In this article, a targeted energy transfer (TET) problem between a p degrees-of-freedom (dof) linear master structure and several coupled parallel slave nonlinear energy sink (NES) systems is studied.
References
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Journal ArticleDOI

Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture

TL;DR: In this paper, the authors study energy pumping in an impulsively excited, two-degrees-of-freedom damped system with essential (nonlinearizable) nonlinearities by means of two analytical techniques.
Journal ArticleDOI

Energy pumping in nonlinear mechanical oscillators : Part I : Dynamics of the underlying Hamiltonian systems

TL;DR: In this paper, the authors presented numerical evidence of energy pumping in coupled nonlinear mechanical oscillators, i.e., of one-way (irreversible) channeling of externally imparted energy from the linear to the nonlinear part of the system, provided that the energy is above a critical level.
Journal ArticleDOI

Inducing Passive Nonlinear Energy Sinks in Vibrating Systems

TL;DR: In this paper, the authors study the inducement of passive nonlinear sinks in linear vibrating systems and derive a set of modulation equations that is directly amenable to physical interpretation.
Book ChapterDOI

Transition of Energy to a Nonlinear Localized Mode in a Highly Asymmetric System of Two Oscillators

Oleg Gendelman
- 01 Jul 2001 - 
TL;DR: In this article, the authors investigated the energy distribution in a highly asymmetric system consisting of coupled linear and highly nonlinear damped oscillators, and the conditions of the energy transition to NNM being effective are revealed.
Journal ArticleDOI

Experimental study of non-linear energy pumping occurring at a single fast frequency

TL;DR: In this article, an experimental verification of passive non-linear energy pumping in a two-degree-of-freedom system comprising a damped linear oscillator coupled to an essentially nonlinear attachment is carried out.
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