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Technical Briefs

Comparing the Performance of Optimally Tuned Dynamic Vibration Absorbers With Very Large or Very Small Moment of Inertia

[+] Author and Article Information
S.-J. Jang, E. Rustighi

Institute of Sound and Vibration Research, University of Southampton, Hampshire SO17 1BJ, UK

M. J. Brennan1

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

1

Corresponding author.

J. Vib. Acoust 132(3), 034501 (Apr 14, 2010) (4 pages) doi:10.1115/1.4000780 History: Received February 23, 2009; Revised October 31, 2009; Published April 14, 2010; Online April 14, 2010

In this article, the performance of a two degree-of-freedom dynamic vibration absorber (DVA) with very large or very small moment of inertia is studied. Although it has been shown previously that an optimally tuned DVA with a negligibly small moment of inertia marginally outperforms the optimally tuned DVA with a very large moment of inertia, the physical reasons for this have not been made clear. Using a simplified model of the stiffness elements of the DVA, it is shown that the two sets of parallel combinations of stiffness and damping elements of the DVA with negligibly small moments of inertia effectively act in series, rather than in parallel as in the other case. Furthermore, it is shown that the stiffness and damping elements can be represented as a single stiffness and a single damping element whose properties are frequency dependent. This frequency dependency means that there is additional freedom in choosing the optimum stiffness and damping of the DVA, which results in better performance.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Base-excited SDOF system with 2DOF DVA attached

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Figure 2

Models for springs and dampers: (a) original model, (b) equivalent series model, and (c) equivalent parallel model using frequency dependent spring and damper

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Figure 3

Transmissibility of the system between the base and main structure; DVA with Ja=0 (solid line) and DVA with Ja=∞ (dotted line)

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Figure 4

Nondimensional equivalent optimum absorber stiffness and damping as a function of the nondimensional frequency for a mass ratio of 5%. (a) stiffness and (b) damping.

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Figure 5

Normalized apparent mass of the absorber (a) magnitude and (b) phase; DVA with Ja=0 (solid line) and DVA with Ja=∞ (dotted line)

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