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Research Papers

Suppressing Flutter Vibrations by Parametric Inertia Excitation

[+] Author and Article Information
Fadi Dohnal

Institute of Sound and Vibration Research, University of Southampton, Highfield, Southampton SO17 1BJ, UKfd@isvr.soton.ac.uk

Aleš Tondl

 Zborovská 41, CZ-150 00 Prague 5, Czech Republic

J. Appl. Mech 76(3), 031006 (Mar 09, 2009) (7 pages) doi:10.1115/1.3063631 History: Received August 06, 2007; Revised October 02, 2008; Published March 09, 2009

A theoretical study of a slender engineering structure with lateral and angular deflections is investigated under the action of flow-induced vibrations. This aero-elastic instability excites and couples the system’s bending and torsion modes. Semiactive means due to open-loop parametric excitation are introduced to stabilize this self-excitation mechanism. The parametric excitation mechanism is modeled by time-harmonic variation in the concentrated mass and/or moment of inertia. The conditions for full suppression of the self-excited vibrations are determined analytically and compared with numerical results of an example system. For the first time, example systems are presented for which parametric antiresonance is established at the parametric combination frequency of the sum type.

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Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 3

Numerical stability boundaries for System 3

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Figure 4

Numerical stability boundaries for System 3 for ε1=+0.1. (a) Numerical surface for largest eigenvalue. (b) Stability chart at max Λ=0. The shaded region denotes stable antiresonance region.

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Figure 5

Numerical stability boundaries for System 3 for ε1=−0.1. (a) Numerical surface for largest eigenvalue. (b) Stability chart at max Λ=0. The shaded region denotes stable antiresonance region.

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Figure 2

Numerical stability boundaries for System 2. (a) Numerical surface for largest eigenvalue. (b) Stability chart at max Λ=0. The shaded region denotes stable antiresonance region.

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Figure 1

Numerical stability boundaries for System 1. (a) Numerical surface for largest eigenvalue. (b) Stability chart at max Λ=0. The shaded region denotes stable antiresonance region.

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