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TECHNICAL PAPERS: Gas Turbines: Structures and Dynamics

Experimental Investigation of Mode Localization and Forced Response Amplitude Magnification for a Mistuned Bladed Disk

[+] Author and Article Information
J. Judge, C. Pierre

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109-2125

O. Mehmed

NASA Glenn Research Center, Cleveland, OH 44135

J. Eng. Gas Turbines Power 123(4), 940-950 (Oct 01, 2000) (11 pages) doi:10.1115/1.1377872 History: Received October 01, 1999; Revised October 01, 2000
Copyright © 2001 by ASME
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References

Figures

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Engine order 6 frequency response of blades with highest amplitude: (a) finite element, and (b) experimental
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Engine order 6 response amplitudes of mistuned peaks 11 and 12 and tuned peak 12: (a) finite element, and (b) experimental
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Nodal diameter composition of experimental mistuned modes which exhibit localization
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Nodal diameter composition of experimental mistuned modes remaining spatially extended
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Engine order 5 response shapes for mistuned blisk (finite element method predictions are normalized by maximum tuned amplitude)
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Finite element prediction of engine order 5 frequency response of all blades for mistuned disk (observe strong response in modes 10, 11, and 12)
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Engine order 3 response shapes for mistuned case (finite element method predictions are normalized by maximum tuned amplitude)
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Finite element prediction of engine order 3 frequency response of all blades for mistuned case (observe strong response for modes 6 and 7)
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Comparison of resonant response pattern predictions based on stiffness and mass mistuning, for engine order 6 excitation
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Predicted amplitude increase (largest blade tip resonant response, scaled by tuned resonant response) versus mistuning, as obtained from Monte Carlo simulations of the reduced order model
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Engine order 2 forced response shapes of “tuned” system (compare with Fig. 4)
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Experimental frequency response of “tuned” blisk to engine order 4 excitation: (a) full frequency spectrum, blade 1 response, (b) response of all blades in the 4-nodal-diameter modes
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2-nodal-diameter “free” response shapes: (a) and (b) show schematics of the blisk indicating the location of the nodal diameters, (c) and (d) compare response amplitudes to the sinusoids the data would fall on if the modes were perfectly harmonic (negative amplitudes indicate vibration 180 deg out of phase from excitation, positive amplitudes are in phase with excitation)
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Natural frequencies versus number of nodal diameters for the tuned blisk
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Closeup of a blade, showing proximity probe above blade tip, piezoelectric actuator at blade root, and added mass at blade tip

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