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Research Papers

Resonance Suppression in Multi-Degree-of-Freedom Rotating Flexible Structures Using Order-Tuned Absorbers

[+] Author and Article Information
Serif Gozen

Department of Mechanical Engineering,
McGill University, Montreal, QC,
H3A 2K6, Canada
e-mail: serif.gozen@mcgill.ca

Brian J. Olson

Air and Missile Defense Department,
Applied Physics Laboratory,
Johns Hopkins University, Laurel,
MD 20723-6099 
e-mail: brian.olson@jhuapl.edu

Steven W. Shaw

Department of Mechanical Engineering,
Michigan State University, East Lansing,
MI 48824-1226 
e-mail: shawsw@egr.msu.edu

Christophe Pierre

Department of Mechanical Engineering,
University of Illinois, Urbana,
IL 61801 
e-mail: chpierre@uillinois.edu

Throughout the remainder of this work, it is understood that variables and equations with sector subscripts i are defined for each iN.

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received August 8, 2009; final manuscript received July 10, 2012; published online November 26, 2012. Assoc. Editor: Cheng-Kuo Sung.

J. Vib. Acoust 134(6), 061016 (Nov 26, 2012) (7 pages) doi:10.1115/1.4007564 History: Received August 08, 2009; Revised July 10, 2012

This paper considers the dynamic response and order-tuning of vibration absorbers fitted to a rotating flexible structure under traveling wave (TW) engine order excitation. Of specific interest is the extension of previous results on the so-called no-resonance zone, that is, a region in linear tuning parameter space in which the coupled structure/absorber system does not experience resonance over all rotation speeds. The no-resonance feature was shown to exist for cyclic rotating structures with one structural and one absorber degree of freedom (DOF) per sector. This work uses a higher-fidelity structural model to investigate the effects of higher modes on the cyclically-coupled system. It is shown that the no-resonance zone is replaced by a resonance-suppression zone in which one structural mode is suppressed, but higher-order resonances still exist with the addition of the absorbers. The results are general in the sense that one vibration mode can be eliminated using a set of identically-tuned absorbers on a rotating structure with arbitrarily many DOFs per sector.

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References

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Figures

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Fig. 1

Lumped-parameter model

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Fig. 2

Campbell diagram and frequency response

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Fig. 3

Campbell diagrams showing the effects of increasing intersector coupling and absorber mass

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Fig. 4

Campbell diagrams and the corresponding amplitude frequency response

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Fig. 5

Resonant rotor speed versus detuning

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