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Research Papers

Efficient Targeted Energy Transfer With Parallel Nonlinear Energy Sinks: Theory and Experiments

[+] Author and Article Information
Bastien Vaurigaud

 Université de Lyon ENTPE, DGCB FRE CNRS 3237, rue Maurice Audin, 69518 Vaulx-en-Velin Cedex, Francebastien.vaurigaud@entpe.fr

Alireza Ture Savadkoohi

 Université de Lyon ENTPE, DGCB FRE CNRS 3237, rue Maurice Audin, 69518 Vaulx-en-Velin Cedex, Francealireza.turesavadkoohi@entpe.fr

Claude-Henri Lamarque1

 Université de Lyon ENTPE, DGCB FRE CNRS 3237, rue Maurice Audin, 69518 Vaulx-en-Velin Cedex, Francelamarque@entpe.fr

1

Corresponding author.

J. Comput. Nonlinear Dynam 6(4), 041005 (Apr 05, 2011) (10 pages) doi:10.1115/1.4003687 History: Received August 05, 2010; Revised February 07, 2011; Published April 05, 2011; Online April 05, 2011

In this paper the targeted energy transfer (TET) phenomenon between a linear multi-DOF master structure and several slave parallel nonlinear energy sink (NES) devices during a 1:1 resonance capture is investigated. An analytical method is proposed for tuning optimal NES parameters, which leads to efficient TETs. Then, the procedure is intentionally narrowed for a 4DOF master structure with two parallel NESs at the last DOF in order to grasp optimum NES parameters of a prototype structure that is built and tested at the Civil Engineering and Building Department Laboratory of the ENTPE. The aim is to control the first mode of the compound nonlinear prototype system by demonstrating the efficiency of designed parallel NESs by the suggested method.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

The general view of the system under consideration

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Figure 2

Multiplicity of solution between dimensionless variables E0 and Enj0, with ζnj=0.25 and ϕnj=1

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Figure 3

FRF of the system in the vicinity of 1:1 resonance for different values of kn. (a) kn=7×104 N m−3; (b) kn=1.95×105 N m−3≈kopt. (– – –) Analytical linear behavior, (—) analytical prediction (stable), (-.-.-.-) analytical prediction (unstable), and (∘∘∘) numerical integration.

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Figure 4

FRF of the system in the vicinity of 1:1 resonance for high value of kn. (a) kn=4×105 N.m−3; (b) kn→+∞. (– – –) analytical linear behavior, (—) analytical prediction (stable), (-.-.-.-) analytical prediction (unstable), and (∘∘∘) numerical integration.

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Figure 5

Evolution of the multiplicity of periodic solutions in the plane (ω/ω0∗,kn)

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Figure 6

The test setup and the structure

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Figure 7

Two parallel NESs at the top storey

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Figure 8

The FRF of the last floor of the structure during the chirp excitation

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Figure 9

The absolute values of the FRF of NES 1

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Figure 10

The absolute values of the FRF of NES 2

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Figure 11

The absolute values of the FRF of the NES system during the energy pumping phenomenon

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Figure 12

The scaled phase values of the FRF of the NES system during the energy pumping phenomenon

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