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TECHNICAL PAPERS

Local/Global Effects of Mistuning on the Forced Response of Bladed Disks

[+] Author and Article Information
A. J. Rivas-Guerra, M. P. Mignolet

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106e-mail: marc. mignolet@asu.edu

J. Eng. Gas Turbines Power 126(1), 131-141 (Mar 02, 2004) (11 pages) doi:10.1115/1.1581898 History: Received December 01, 2000; Revised March 01, 2001; Online March 02, 2004
Copyright © 2004 by ASME
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References

Figures

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Single degree-of-freedom per blade disk model
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Blisk example: (a) blisk view, (b) blade sector finite element mesh, and (c) natural frequency versus nodal diameter plot
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Mean value of the response of blade 1 (typical blade) by Monte Carlo simulation (Xm), three-blade and five-blade partial mistuning models (Xp(3) and Xp(5)), adaptive perturbation method with two and six modes (Xa(2) and Xa(6)) and local+global approximation with s=5 and d=6 (Xpa(5,6))
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Standard deviation of the response of blade 1 (typical blade) by Monte Carlo simulation (Xm), three-blade and five-blade partial mistuning models (Xp(3) and Xp(5)), adaptive perturbation method with two and six modes (Xa(2) and Xa(6)) and local+global approximation with s=5 and d=6 (Xpa(5,6))
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Mean value of the maximum response on the disk by Monte Carlo simulation (Xm), three-blade and five-blade partial mistuning models (Xp(3) and Xp(5)), adaptive perturbation method with two and six modes (Xa(2) and Xa(6)) and local+global approximation with s=5 and d=2 (Xpa(5,2))
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Standard deviation of the maximum response on the disk by Monte Carlo simulation (Xm), three-blade and five-blade partial mistuning models (Xp(3) and Xp(5)), adaptive perturbation method with two and six modes (Xa(2) and Xa(6)) and local+global approximation with s=5 and d=2 (Xpa(5,2))
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Mean value of the maximum response on the disk in a sweep by Monte Carlo simulation (Xm), three-blade and five-blade partial mistuning models (Xp(3) and Xp(5)), adaptive perturbation method with two and six modes (Xa(2) and Xa(6)) and local+global approximation with s=5 and d=2 (Xpa(5,2))
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Standard deviation of the maximum response on the disk in a sweep by Monte Carlo simulation (Xm), three-blade and five-blade partial mistuning models (Xp(3) and Xp(5)), adaptive perturbation method with two and six modes (Xa(2) and Xa(6)) and local+global approximation with s=5 and d=2 (Xpa(5,2))
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Maximum response on the population of disks by Monte Carlo simulation (Xm), five-blade partial mistuning model (Xp(5)), and by optimization of three and seven-blade mistuning models (Opti-3bl and Opti-7bl)
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Scatter plot of the width of partial mistuning required to achieve an accuracy of 10% on the amplitude of response of the blades of five randomly mistuned disks, kC=45,430 N/m
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Scatter plot of the width of partial mistuning required to achieve an accuracy of 10% on the amplitude of response of the blades of five randomly mistuned disks, kC=20,000 N/m
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Scatter plot of the width of partial mistuning required to achieve an accuracy of 10% on the amplitude of response of the blades of five randomly mistuned disks, kC=5,000 N/m
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Scatter plot of the width of partial mistuning required to achieve an accuracy of 3% on the amplitude of response of the blades of five randomly mistuned disks, kC=20,000 N/m
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Maximum response prediction error with partial mistuning versus mistuning level, blisk on lower third EO mode 0.125% damping
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Scatter plot of the width of partial mistuning required to achieve an accuracy of 10% on the amplitude of response of the blades of five randomly mistuned disks, blisk on lower third EO mode. 0.025% damping, 0.5% mistuning.
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Scatter plot of the width of partial mistuning required to achieve an accuracy of 10% on the amplitude of response of the blades of five randomly mistuned disks, blisk in veering 2 (third EO modes). 0.125% damping, 4% mistuning.

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