Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results

Gourdon, Emmanuel; Alexander, Nicholas A.; Taylor, Colin Anthony; Lamarque, Claude‐Henri; Pernot, Stéphane

doi:10.1016/j.jsv.2006.06.074

Cited by 294 publications

(165 citation statements)

References 16 publications

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“…In the field of structural vibration, a wide variety of NES designs with different types of stiffness (cubic , non-polynomial, non-smooth nonlinearities...) has been proposed [4,5,6,7]. In the acoustic field, to the best of our knowledge only one type of vibro-acoustic NES design has been tested, see the series of papers [8,9,10,11,12].…”

Section: Strongly Modulated Responses (Smr)[3]mentioning

confidence: 99%

Experimental study of a hybrid electro-acoustic nonlinear membrane absorber

Bryk

Bellizzi

Côte

2018

Journal of Sound and Vibration

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A hybrid electro-acoustic nonlinear membrane absorber working as a nonlinear energy sink (here after named EA-NES) is described. The device is composed of a thin circular visco-elastic membrane working as an essentially cubic oscillator. One face of the membrane is coupled to the acoustic field to be reduced and the other face is enclosed. The enclosure includes a loudspeaker for the control of the acoustic pressure felt by the rear face of the membrane through proportional feedback control. An experimental set-up has been developed where the EA-NES is weakly coupled to a linear acoustic system. The linear acousticsystem is an open-ended tube, coupled on one side to the EA-NES by a box, and on the other side to a source loudspeaker by another box. Only sinusoidal forcing is considered. It is shown that the EA-NES is able to perform resonance capture with the acoustic field, resulting in noise reduction by targeted energy transfer, and to operate in a large frequency band, tuning itself passively to any linear system. We demonstrate the ability of the feedback gain defining the active loop to modify the resonance frequency of the EA-NES, which is a key factor to tune the triggering threshold of energy pumping. The novelty of this work is to use active control combined to passive nonlinear transfer energy to improve it. In this paper, only experimental results are analyzed.

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Section: Strongly Modulated Responses (Smr)[3]mentioning

confidence: 99%

Experimental study of a hybrid electro-acoustic nonlinear membrane absorber

Bryk

Bellizzi

Côte

2018

Journal of Sound and Vibration

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“…The reduction principle of sound is based on the phenomenon called Targeted Energy Transfer (TET) or Energy Pumping [5]. If the nonlinear absorber is properly designed for the primary system, an irreversible energy transfer from the linear system toward the absorber occurs, the energy is dissipated within the absorber damper and the forced dynamic response of the primary system is limited [6]. This means that the nonlinear system behaves like a "sink" where there is motion localization and energy dissipation.…”

Section: Introductionmentioning

confidence: 99%

“…Under periodic external excitation applied to the primary system, the nonlinear absorbers can efficiently reduce the resonance peak by entering the whole system in a quasi-periodic motion with repetitive TET phase [6]. Weakly quasi-periodic responses and strongly quasi-periodic responses (also named "strongly modulated responses") can exist or coexist [7,8].…”

Section: Introductionmentioning

confidence: 99%

Responses of a two degree-of-freedom system coupled to a nonlinear damper under multi-forcing frequencies

Bellizzi

Côte

Pachebat

2013

Journal of Sound and Vibration

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In this paper, forced responses are investigated in a two degree-of-freedom linear system with a linear coupling to a Nonlinear Energy Sink (NES) subjected to quasi-periodic excitation. The quasi-periodic regimes associated to quasi-periodic forcing in the regime of 1:1-1:1 are studied analytically using the complexification method combined to the averaging method in terms of multi-time parameter. Local bifurcations of the quasi-periodic regimes are also analyzed using the excitation frequencies as control parameters. The nonlinear differential system is also solved numerically in time domain and the responses are analyzed in view of the analytical results. Stable and unstable quasi-periodic responses are found in good agreement with the analytical study, and strongly modulated responses are noticed. We observe that a single NES can be efficient for the reduction of two resonance peaks even if they are well separated, incommensurable, and excited simultaneously.

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“…Zhu et al [6] studied the system with nonlinear damping and nonlinear springs, they found that a reduction of the vibration amplitude can be obtained by adjusting the parameters of the nonlinear dampers, nonlinear spring stiffness and excitation frequency. It has also been demonstrated [7][8][9][10] that the primary phenomena behind the energy pumping produced is due to resonant interactions between coupled linear and nonlinear components.…”

Section: Introductionmentioning

confidence: 99%

The Experimental Performance of a Nonlinear Dynamic Vibration Absorber

Hsu

Ferguson

Brennan

2013

Topics in Nonlinear Dynamics, Volume 1

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This paper investigates the physical behaviour and effectiveness of a nonlinear dynamic vibration absorber (NDVA). The nonlinear absorber considered involves a nonlinear hardening spring which was designed and attached to a cantilever beam excited by a shaker. The cantilever beam can be considered at low frequencies as a linear single degree-of-freedom system. The nonlinear attachment is designed to behave as a hardening Duffing oscillator. The nonlinearity of the attachment is due to the particular geometrical configuration undergoing a large amplitude response. The experiment investigated the potential for vibration reduction of the system. Analytical and numerical results are presented and compared. From the measured results it was observed that the NDVA had a much wider effective bandwidth compared to a linear absorber. The frequency response curve of the NDVA has the effect of moving the second resonant peak to a higher frequency away from the tuned frequency so that the device is robust to mistuning.

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Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results

Cited by 294 publications

References 16 publications

Experimental study of a hybrid electro-acoustic nonlinear membrane absorber

Experimental study of a hybrid electro-acoustic nonlinear membrane absorber

Responses of a two degree-of-freedom system coupled to a nonlinear damper under multi-forcing frequencies

The Experimental Performance of a Nonlinear Dynamic Vibration Absorber

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