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Research Papers: Gas Turbines: Structures and Dynamics

Robustness Analysis of Mistuned Bladed Disk Using the Upper Bound of Structured Singular Value

[+] Author and Article Information
Jianyao Yao

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100191, Chinayaojianyao@sjp.buaa.edu.cn

Jianjun Wang

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100191, Chinawangjjb@263.net

Qihan Li

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

J. Eng. Gas Turbines Power 131(3), 032501 (Jan 29, 2009) (7 pages) doi:10.1115/1.3018942 History: Received June 18, 2007; Revised September 16, 2008; Published January 29, 2009

This paper presents a method for the robustness analysis of the bladed disk with bounded random mistuning. The robust stability and performance are evaluated by the upper bound of the structured singular value. The robust control model of the bladed disk is established in virtue of linear fractional transformation. The influences of intentional stiffness mistuning in harmonic patterns on the robustness of the mistuned bladed disk are investigated. The numerical results indicate that the robust performance of the mistuned bladed disk could be effectively enhanced by appropriate harmonic intentional mistuning. The proposed method can help us design a bladed disk, which is insensitive to dangerous random mistuning.

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Copyright © 2009 by American Society of Mechanical Engineers
Topics: Disks , Robustness , Stability
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Figures

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Figure 1

LFT in state space

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Figure 2

LFT in frequency domain

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Figure 3

Uniform framework

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Figure 4

Bladed disk model

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Figure 5

Nodal diameter map

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Figure 6

Robust stability with different random mistuning sizes

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Figure 7

Robust stability with different intentional mistunings

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Figure 8

Robust performance with different sizes of random mistuning, frequency range [0.85, 1.15] and frequency point number 1000

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Figure 9

Amplitude magnification with different sizes of random mistuning, sample number 1500, and frequency point number 112

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Figure 10

Robust performance with different intentional mistunings, frequency range [0.85, 1.15], and frequency point number 1000

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Figure 11

Amplitude magnification with different intentional mistunings, sample number 1500, and frequency point number 112. (a) Mean of amplitude magnification and (b) maximum of amplitude magnification.

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