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Research Papers

Computation of the Optimal Normal Load for a Mistuned and Frictionally Damped Bladed Disk Assembly Under Different Types of Excitation

[+] Author and Article Information
Douksoon Cha

 Shinhwa Technology & Co., Gyeonggi-do 429-934, South Koreajerry@shinhwa-technology.com

Alok Sinha

Department of Mechanical and Nuclear Engineering, Pennsylvania State University, University Park, PA 16802axs22@psu.edu

J. Comput. Nonlinear Dynam 6(2), 021012 (Nov 15, 2010) (10 pages) doi:10.1115/1.4002515 History: Received September 21, 2006; Revised August 27, 2010; Published November 15, 2010; Online November 15, 2010

Using nondimensional variables, the performances of friction dampers of a mistuned bladed disk assembly are examined for different types of excitation: white noise excitation, independent narrow band random excitation, and sinusoidal excitation with unknown amplitudes. Based on the harmonic balance method, an analytical technique is developed to compute the statistics of response for sinusoidal excitation with unknown amplitudes. The performances of blade-to-blade and blade-to-ground dampers are compared under different types of excitation. It is found that the nondimensional optimal normal loads of friction dampers are almost independent of the nature of excitation. Therefore, optimal normal loads of friction dampers can be chosen without any knowledge of the nature of excitation.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Model of a bladed disk assembly with friction dampers

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Figure 2

Mean square value of response amplitude as a function of slip distance xGc and excitation frequency ω (B-G dampers, tuned system, deterministic sinusoidal excitation, δαc=δβc=0)

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Figure 3

Mean square value of response amplitude as a function of slip distance xBc and excitation frequency ω (B-B dampers, tuned system, deterministic sinusoidal excitation, δαc=δβc=0)

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Figure 4

(a) μR/Rst versus xc/σst for white noise excitation, peak value of μR/Rst versus xc/σst for narrow band excitation, and μRa/Rast versus xc/rms(xst) for sinusoidal excitation (B-G damper KG=43,000 N/m) and (b) σR/Rst versus xc/σst for white noise excitation, peak value of σR/Rst versus xc/σst for narrow band excitation, and σRa/Rast versus xc/rms(xst) for sinusoidal excitation (B-G damper KG=43,000 N/m)

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Figure 5

(a) μR/Rst versus xc/σst for white noise excitation, peak value of μR/Rst versus xc/σst for narrow band excitation, and μRa/Rast versus xc/rms(xst) for sinusoidal excitation (B-B damper KB=43000 N/m) and (b) σR/Rst versus xc/σst for white noise excitation, peak value of σR/Rst versus xc/σst for narrow band excitation, and σRa/Rast versus xc/rms(xst) for sinusoidal excitation (B-B damper KB=43,000 N/m)

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Figure 6

(μR+3σR)/Rst versus xc/σst for white noise excitation, peak value of (μR+3σR)/Rst versus xc/σst for narrow band excitation, and (μRa+3σRa)/Rast versus xc/rms(xst) for sinusoidal excitation. (a) B-G damper KG=43,000 N/m and (b) B-B damper KB=43,000 N/m.

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