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Research Papers

Dynamics of an Eccentric Rotational Nonlinear Energy Sink

[+] Author and Article Information
O. V. Gendelman1

 Faculty of Mechanical Engineering, Technion – Israel Institute of Technology, Haifa, 32000 Israelovgend@tx.technion.ac.il

G. Sigalov, M. Mane, A. F. Vakakis, L. A. Bergman

 College of Engineering, University of Illinois at Urbana–Champaign, Urbana, IL 61801

L. I. Manevitch

 Institute of Chemical Physics, RAS, Kosygin str. 4, Moscow, Russia

1

Corresponding author.

J. Appl. Mech 79(1), 011012 (Dec 13, 2011) (9 pages) doi:10.1115/1.4005402 History: Received January 11, 2011; Revised May 24, 2011; Published December 13, 2011; Online December 13, 2011

The paper introduces a novel type of nonlinear energy sink, designed as a simple rotating eccentric mass, which can rotate with any frequency and; therefore, inertially couple and resonate with any mode of the primary system. We report on theoretical and experimental investigations of targeted energy transfer in this system.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Scheme of primary mass with attached eccentric rotator

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Figure 2

Oscillatory response of Eq. 6 for initial conditions θ0=π/2,u0=0.4,θ·(0)=u·(0)=0. (a) Time series θ(t); (b) time series u(t); (c) relative energy concentrated on the NES.

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Figure 3

Intermittent response of Eq. 6 for initial conditions θ0=π/2,u0=0.5,θ·(0)=u·(0)=0. (a) Time series θ(t); (b) time series u(t); (c) relative energy concentrated on the NES.

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Figure 4

Rotational response of Eq. 6 for initial conditions θ0=π/2,u0=0.8,θ·(0)=u·(0)=0. (a) Time series θ(t); (b) time series u(t); (c) relative energy concentrated on the NES.

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Figure 5

Comparison of the energy dissipation rate for various types of response, θ0=π/2

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Figure 6

Oscillatory response of Eq. 6 for initial conditions θ0=0.1,u0=0.4,θ·(0)=u·(0)=0. (a) Time series θ(t); (b) time series u(t); (c) relative energy concentrated on the NES.

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Figure 7

Intermittent response of Eq. 6 for initial conditions θ0=0.1,u0=0.65,θ·(0)=u·(0)=0. (a) Time series θ(t); (b) time series u(t); (c) relative energy concentrated on the NES.

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Figure 8

Rotational response of Eq. 6 for initial conditions θ0=0.1,u0=0.7,θ·(0)=u·(0)=0. (a) Time series θ(t); (b) time series u(t); (c) relative energy concentrated on the NES.

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Figure 9

Comparison of the energy dissipation rate for various types of response, θ0=0.1

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Figure 10

Phase portrait of Eq. 18 for u0 =0.5, (a) λ=0, (b) λ=0.1, (c) λ=0.3

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Figure 11

Experimental setup with various elements and equipment labeled

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Figure 12

Oscillatory response for initial deflection of the primary mass d0  = 10 mm (u0 ≈ 0.15) and various θ0

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Figure 13

Oscillatory response for initial deflection of the primary mass d0  = 20 mm (u0 ≈ 0.30) and various θ0

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Figure 14

Oscillatory response for initial deflection of the primary mass d0  = 25 mm (u0 ≈ 0.38) and various θ0

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Figure 15

Oscillatory response for initial deflection of the primary mass d0  = 40 mm (u0 ≈ 0.60) and various θ0

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Figure 16

Experimental observation of TET

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