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Research Papers

Vibratory Parameters of Blades From Coordinate Measurement Machine Data

[+] Author and Article Information
Alok Sinha

Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802

Benjamin Hall, Brice Cassenti

 Pratt & Whitney, E. Hartford, CT 06108

Gary Hilbert

Aeromechanics and Structures, Pratt & Whitney, E. Hartford, CT 06108

J. Turbomach 130(1), 011013 (Jan 25, 2008) (8 pages) doi:10.1115/1.2749293 History: Received October 13, 2005; Revised June 27, 2006; Published January 25, 2008

This paper deals with the development of a procedure to model geometric variations of blades. Specifically, vibratory parameters of blades are extracted from coordinate measurement machine (CMM) data on an integrally bladed rotor (IBR). The method is based on a proper orthogonal decomposition of CMM data, solid modeling, and finite element techniques. In addition to obtaining natural frequencies and mode shapes of each blade on an IBR, statistics of these modal parameters are also computed and characterized. Numerical results are validated by comparison with experimental results.

Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Number of blades measured on an IBR

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Figure 2

Change in mean as a function of additional IBR

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Figure 3

POD mode 3 of CMM data for the first six IBRs

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Figure 4

POD mode 3 of CMM data for the last five IBRs

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Figure 5

Probability distribution of ξs1(s=14)

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Figure 6

Probability distribution of ξs2(s=14)

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Figure 7

Probability distribution of ξs3(s=14)

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Figure 8

Probability distribution of ξs4(s=14)

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Figure 9

Probability distribution of ξs5(s=14)

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Figure 10

Probability distribution of ξs6(s=14)

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Figure 11

Probability distribution of ξs7(s=14)

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Figure 12

Probability distribution of ξs8(s=14)

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Figure 13

Probability distribution of ξs9(s=14)

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Figure 14

Frequencies ωj∕ω¯j, j=1,2,…,6, of a blade on an IBR

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Figure 15

Frequencies ωj∕ω¯j, j=7,8,…,12, of a blade on an IBR

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Figure 16

Prediction of natural frequencies of a blade on an IBR

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Figure 17

Statistics of natural frequencies

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Figure 18

A modal vector of a blade

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Figure 19

Modal vector predicted by the POD method

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Figure 20

Error in the predicted modal vector

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