A technique for generating reduced-order models (ROMs) of bladed disks with small geometric mistuning is proposed. Discrepancies in structural properties (mistuning) from blade to blade can cause a significant increase in the maximum vibratory stress. The effects of mistuning have been studied over the past few decades. Many researchers have studied the dynamic behavior of mistuned bladed disks by using ROMs. Many of these techniques rely on the fact that the modes of a mistuned system can be approximated by a linear combination of modes of the corresponding tuned system. In addition, the tuned system modes have been modeled in component mode mistuning by using modal participation factors of cantilevered blade modes. Such techniques assume that mistuning can be well modeled as variations in blade-alone frequencies. However, since geometric deformations contain stiffness and mass variations, mistuning can no longer be captured by cantilevered blade modes alone. To address this, several studies have focused on large and small geometric mistuning. These studies exploited the difference between tuned (with perturbed geometry) and nominal tuned mode shapes. In this work, we extend on that approach and devote particular attention to the development of ROMs of bladed disks with small geometric mistuning. The methodology requires only sector-level calculations and therefore can be applied to highly refined, realistic models of industrial size.
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August 2017
Research-Article
Reduced-Order Models of Blisks With Small Geometric Mistuning
Seunghun Baek,
Seunghun Baek
Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48104
e-mail: baeksh@umich.edu
University of Michigan,
Ann Arbor, MI 48104
e-mail: baeksh@umich.edu
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Bogdan Epureanu
Bogdan Epureanu
Professor
Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48109
e-mail: epureanu@umich.edu
Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48109
e-mail: epureanu@umich.edu
Search for other works by this author on:
Seunghun Baek
Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48104
e-mail: baeksh@umich.edu
University of Michigan,
Ann Arbor, MI 48104
e-mail: baeksh@umich.edu
Bogdan Epureanu
Professor
Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48109
e-mail: epureanu@umich.edu
Department of Mechanical Engineering,
University of Michigan,
Ann Arbor, MI 48109
e-mail: epureanu@umich.edu
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received February 7, 2016; final manuscript received February 16, 2017; published online May 30, 2017. Assoc. Editor: John Yu.
J. Vib. Acoust. Aug 2017, 139(4): 041003 (10 pages)
Published Online: May 30, 2017
Article history
Received:
February 7, 2016
Revised:
February 16, 2017
Citation
Baek, S., and Epureanu, B. (May 30, 2017). "Reduced-Order Models of Blisks With Small Geometric Mistuning." ASME. J. Vib. Acoust. August 2017; 139(4): 041003. https://doi.org/10.1115/1.4036105
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