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Research Papers: Gas Turbines: Structures and Dynamics

Testing and Calibration Procedures for Mistuning Identification and Traveling Wave Excitation of Blisks

[+] Author and Article Information
Darren E. Holland

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109deholla@umich.edu

Matthew P. Castanier

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109mpc@umich.edu

Steven L. Ceccio

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109ceccio@umich.edu

Bogdan I. Epureanu

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109epureanu@umich.edu

Sergio Filippi

Aeromechanics Technology, GE Advanced Mechanical Design, Cincinnati, OH 45245sergio.filippi@ge.com

J. Eng. Gas Turbines Power 132(4), 042502 (Jan 25, 2010) (9 pages) doi:10.1115/1.3204656 History: Received March 27, 2009; Revised April 03, 2009; Published January 25, 2010; Online January 25, 2010

In this work, an integrated testing and calibration procedure is presented for performing mistuning identification (ID) and traveling wave excitation (TWE) of one-piece bladed disks (blisks). The procedure yields accurate results while also being highly efficient and is comprised of three basic phases. First, selected modes from a tuned blisk finite element model are used to determine a minimal set of measurement degrees of freedom (and locations) that will work well for mistuning ID. Second, a testing procedure is presented that allows the mistuning to be identified from relatively few vibration response measurements. A numerical validation is used to investigate the convergence of the mistuning ID results to a prescribed mistuning pattern using the proposed approach and alternative testing strategies. Third, a method is derived to iteratively calibrate the excitation applied to each blade so that differences among the blade excitation magnitudes can be minimized for a single blade excitation, and also the excitation phases can be accurately set to achieve the desired traveling wave excitation. The calibration algorithm uses the principle of reciprocity and involves solving a least-squares problem to reduce the effects of measurement noise and uncertainty. Because the TWE calibration procedure re-uses the data collected during the mistuning ID, the overall procedure is integrated and efficient.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Finite element model and mistuning values for the validation blisk

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Figure 2

Nodal diameters versus natural frequencies for the tuned validation blisk

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Figure 3

Size of the system model matrix as DOFs are removed from consideration

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Figure 4

Modified EIDV algorithm for mistuning ID

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Figure 5

Candidate DOFs are the displacements of the shaded region (left) and highest-ranked EIDV DOFs for the frequency range 0–5000 Hz (right)

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Figure 6

Mode shapes for a blisk with 5% mistuning: almost tuned mode (left); mistuned mode (right)

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Figure 7

Geometric pattern with numbers corresponding to the excitation order

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Figure 8

Sample response results for the validation blisk excited at blade 9 for a 75% response level cut-off

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Figure 9

Test procedure for mistuning ID where the shaded boxes correspond to the blade and frequency selections

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Figure 10

Number of measurements gathered during mistuning ID using the maximum test procedure

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Figure 11

Normalized absolute error for each trial and response level cut-off after convergence

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Figure 12

Mistuning ID results for initial blade 10 and using the maximum test procedure with a 75% response level cut-off

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Figure 13

Number of measurements gathered during mistuning ID using sequential blade selection

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Figure 14

Normalized absolute error for each trial and response level cut-off after convergence

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Figure 15

Experimental results from three iterations of the calibration procedure for an engine-order-excitation 0

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