A reduced-order model has been developed that can be used to accurately and quickly calculate the changes in the natural frequencies and mode shapes of a blade that are caused by centrifugal stiffening. It has been corroborated by comparisons with finite element analyses of a cantilevered tapered plate and with frequencies from a low aspect ratio fan blade.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
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, and Griffin
, J. H.
, 1997
, “A Normalized Modal Eigenvalue Approach for Resolving Modal Interaction
,” ASME J. Eng. Gas Turbines Power
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.2.
Kim
, N.
, and Griffin
, J. H.
, 1994
, “Sensitivity of Bonded and Composite Beams
,” J. Sound Vib.
, 177
, pp. 71
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.3.
Perkins
, N. C.
, and Mote
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, 1985
, “Comments on Curve Veering in Eigenvalue Problems
,” J. Sound Vib.
, 106
, pp. 451
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.4.
Pierre
, C.
, 1988
, “Mode Localization and Eigenvalue Loci Veering Phenomena in Disordered Structures
,” J. Sound Vib.
, 126
, pp. 485
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.5.
Balmes
, E.
, 1992
, “High Modal Density Curve Veering, Localization: A Different Perspective on the Structural Response
,” J. Sound Vib.
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, pp. 358
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.6.
Nair
, P. S.
, and Durvasula
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, 1972, “On Quasi-Degeneracies in Plate Vibration Problems,” Journal of Mechanical Science, 15, pp. 987–992.7.
Kenyon, J., 1999, “Investigation of Curve Veering Using Computational and Experimental Techniques,” Proceedings of the 40th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference and Exhibit, AIAA, Apr., pp. 1550–1558.
8.
Yang, M.-T., and Griffin, J. H., 1999, “A Reduced Order Model of Mistuning Using a Subset of Nominal System Modes,” ASME Paper No. 99-GT-288.
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by ASME
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