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Technical Brief

Effects of Bearings and Housing on Mode Localization of a Nearly Cyclic Symmetric System

[+] Author and Article Information
Y. F. Chen

Department of Mechanical Engineering,
University of Washington,
Seattle, WA 98195-2600
e-mail: yfcheng@uw.edu

I. Y. Shen

Professor
Department of Mechanical Engineering,
University of Washington,
Seattle, WA 98195-2600
e-mail: ishen@uw.edu

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received December 8, 2015; final manuscript received April 27, 2016; published online June 2, 2016. Assoc. Editor: Carole Mei.

J. Vib. Acoust 138(5), 054501 (Jun 02, 2016) (7 pages) Paper No: VIB-15-1514; doi: 10.1115/1.4033569 History: Received December 08, 2015; Revised April 27, 2016

This technical brief is to study how flexible bearings and housing affect mode localization of a nearly cyclic symmetric system with mistuning. This study is conducted via finite-element analyses and deductive reasoning. A reference system studied is a bladed disk with two groups of 24 localized modes. When bearings and housing are introduced into the reference system, their presence changes natural frequencies, mode shapes, and the number of the localized modes. Moreover, the mistuning causes bearing forces to surge for all the localized modes. A deductive reasoning based on the existing literature supports the observation from the finite-element analyses.

FIGURES IN THIS ARTICLE
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Copyright © 2016 by ASME
Topics: Bearings , Disks , Rotors
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Figures

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Fig. 1

Natural frequencies of the tuned reference system; 24 identical blades and a disk with a fixed inner rim

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Fig. 2

Natural frequencies of the tuned rotor–bearing system

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Fig. 3

Two additional localized modes for the mistuned rotor–bearing system: (a) mode 111 at 1102.6 Hz and (b) mode 112 at 1104 Hz

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Fig. 4

(a) Mistuned mode 108 with fixed inner rim (1102 Hz) and (b) mistuned mode 109 with bearings at inner rim (1101 Hz)

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Fig. 5

Bearing force comparison for tuned and mistuned rotor–bearing systems

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Fig. 6

Shape of mode 114 of tuned bladed disk with bearing

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Fig. 7

Natural frequencies of tuned rotor–bearing–housing system

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Fig. 8

Additional localized mode shapes with significant deformation on the housing unique to the bladed disk with bearing and housing: (a) mode shape on the rotor of mode 104, (b) mode shape on the housing of mode 104, (c) mode shape on the rotor of mode 107, and (d) mode shape on the housing of mode 107

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Fig. 9

Frequency response function of for blade 3: displacement (upper plot) and von Mises strain (lower plot)

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