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Technical Brief

Accuracies of Reduced Order Models of a Bladed Rotor With Geometric Mistuning

[+] Author and Article Information
Yasharth Bhartiya

e-mail: yasharth@gmail.com

Alok Sinha

e-mail: axs22@psu.edu

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

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received June 28, 2011; final manuscript received September 18, 2013; published online December 27, 2013. Assoc. Editor: Matthew Montgomery.

J. Turbomach 136(7), 074501 (Dec 27, 2013) (4 pages) Paper No: TURBO-11-1095; doi: 10.1115/1.4025666 History: Received June 28, 2011; Revised September 18, 2013

The results from a reduced order model based on frequency mistuning are compared with those from recently developed modified modal domain analysis (MMDA). For the academic bladed rotor considered in this paper, the frequency mistuning analysis is unable to capture the effects of geometric mistuning, whereas MMDA provides accurate estimates of natural frequencies, mode shapes, and forced response.

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References

Castanier, M. P., Ottarsson, G., and Pierre, C., 1997, “A Reduced-Order Modeling Technique for Mistuned Bladed Disks,” ASME J. Vib. Acoust., 119(3), pp. 439–447. [CrossRef]
Bladh, R., Castanier, M. P., and Pierre, C., 2001, “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part I: Theoretical Models,” ASME J. Eng. Gas Turbines Power, 123(1), pp. 89–99. [CrossRef]
Bladh, R., Castanier, M. P., and Pierre, C., 2001, “Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks—Part II: Application,” ASME J. Eng. Gas Turbines Power, 123(1), pp. 100–108. [CrossRef]
Yang, M. T., and Griffin, J. H., 1997, “A Reduced-Order Approach for the Vibration of Mistuned Bladed Disk Assemblies,” ASME J. Eng. Gas Turbines Power, 119(1), pp. 161–167. [CrossRef]
Yang, M. T., and Griffin, J. H., 2001, “A Reduced-Order Model of Mistuning Using a Subset of Nominal System Modes,” ASME J. Eng. Gas Turbines Power, 123(4), pp. 893–900. [CrossRef]
Yang, M. T., and Griffin, J. H., 1997, “A Normalized Modal Eigenvalue Approach for Resolving Modal Interactions,” ASME J. Eng. Gas Turbines Power, 119(3), pp. 647–650. [CrossRef]
Feiner, D. M., and Griffin, J. H., 2002, “A Fundamental Model of Mistuning for a Single Family of Modes,” ASME J. Turbomach.124(4), pp. 597–605. [CrossRef]
Sinha, A., 2009, “Reduced-Order Model of a Bladed Rotor With Geometric Mistuning,” ASME J. Turbomach., 131(3), p. 031007. [CrossRef]
Bhartiya, Y., and Sinha, A., 2011, “Reduced Order Model of a Bladed Rotor With Geometric Mistuning: Comparison Between Modified Modal Domain Analysis and Frequency Mistuning Approach,” ASME Paper No. GT2011-45391. [CrossRef]
MATLAB, 2004, MathWorks, Inc., Natick, MA.
Allemang, R. J., 2003, “Modal Assurance Criterion—Twenty Years of Use and Abuse,” Sound and Vibration, August, pp. 14–21.
Bhartiya, Y., and Sinha, A., 2013, “Reduced Order Modeling of a Bladed Rotor With Geometric Mistuning Via Estimated Deviations in Mass and Stiffness Matrices,” ASME J. Eng. Gas Turbines Power, 135(5), p. 052501. [CrossRef]

Figures

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Fig. 1

Natural frequencies versus harmonic index for the first 10 families of the nominal tuned bladed disk

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Fig. 2

Deviations in frequencies estimated via MMDA and SNM for the first bending family

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Fig. 3

MAC values for the first 24 modes calculated via (a) MMDA and (b) SNM for the first bending family

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Fig. 4

Deviations in frequencies via MMDA, SNM (lateral bending), SNM (torsion), and SNM (elongation)

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Fig. 5

MAC values for modes 73-120 calculated via (a) MMDA, (b) SNM (lateral bending), (c) SNM (torsion), and (d) SNM (elongation)

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Fig. 6

Normalized maximum amplitudes estimated via MMDA and SNM for the first bending family

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Fig. 7

Normalized maximum amplitude estimated via MMDA and SNM for the worst case mistuning pattern

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