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Research Papers: Gas Turbines: Structures and Dynamics

A Method for Forced Response Analysis of Mistuned Bladed Disks With Aerodynamic Effects Included

[+] Author and Article Information
E. P. Petrov

Department of Mechanical Engineering, Centre of Vibration Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UKy.petrov@imperial.ac.uk

J. Eng. Gas Turbines Power 132(6), 062502 (Mar 17, 2010) (10 pages) doi:10.1115/1.4000117 History: Received April 08, 2009; Revised April 15, 2009; Published March 17, 2010; Online March 17, 2010

A method has been developed for high-accuracy analysis of forced response levels for mistuned bladed disks vibrating in gas flow. Aerodynamic damping, the interaction of vibrating blades through gas flow, and the effects of structural and aerodynamic mistuning are included in the bladed disk model. The method is applicable to cases of high mechanical coupling of blade vibration through a flexible disk and, possibly shrouds, to cases with stiff disks and low mechanical coupling. The interaction of different families of bladed disk modes is included in the analysis providing the capability of analyzing bladed disks with pronounced frequency veering effects. The method allows the use of industrial-size sector models of bladed disks for analysis of forced response of a mistuned structure. The frequency response function matrix of a structurally mistuned bladed disk is derived with aerodynamic forces included. A new phenomenon of reducing bladed disk forced response by mistuning to levels that are several times lower than those of their tuned counterparts is revealed and explained.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Forward and backward traveling wave excitations

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Figure 2

Natural frequencies of the tuned blisk and a frequency range of interest

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Figure 3

Resonance frequency shifts and modal damping factors from action of the aerodynamic forces

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Figure 4

Random mistuning pattern generated for different levels of mistuning

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Figure 5

Forced response for all blisk blades: a case of +3EO

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Figure 6

Envelope of the forced response for tuned and mistuned blisk with different mistuning ranges: (a) 1%, (b) 5%, and (c) 10%

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Figure 7

Blade maximum amplitudes: (a) a case of forward traveling wave and (b) a case of backward traveling wave

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Figure 8

Dependency of the amplification factor on the mistuning range

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Figure 9

Amplification factors for cases of forward and backward traveling waves

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Figure 10

Modal coefficients for maximum response amplitudes the mistuned blisk excited by (a) −3EO and (b) +3EO

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Figure 11

Contribution to the total dissipated energy of modes with traveling wave numbers different from +3EO excitation

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