Computation of the Statistics of Forced Response of a Mistuned Bladed Disk Assembly via Polynomial Chaos

[+] Author and Article Information
Alok Sinha

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

J. Vib. Acoust 128(4), 449-457 (Jun 15, 2005) (9 pages) doi:10.1115/1.2215620 History: Received June 03, 2003; Revised June 15, 2005

The method of polynomial chaos has been used to analytically compute the statistics of the forced response of a mistuned bladed disk assembly. The model of the bladed disk assembly considers only one mode of vibration of each blade. Mistuning phenomenon has been simulated by treating the modal stiffness of each blade as a random variable. The validity of the polynomial chaos method has been corroborated by comparison with the results from numerical simulations.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Model of a bladed disk assembly

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Figure 2

PDF of an amplitude, Ar(σ(δk)=1000N∕m)

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Figure 3

PDF of the maximum amplitude, Armax(σ(δk)=1000N∕m)

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Figure 4

PDF of an amplitude, Ar(σ(δk)=4000N∕m)

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Figure 5

PDF of the maximum amplitude, Armax(σ(δk)=4000N∕m)

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Figure 6

PDF of an amplitude, Ar(σ(δk)=7000N∕m)

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Figure 7

PDF of the maximum amplitude, Armax(σ(δk)=7000N∕m)

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Figure 8

PDF of an amplitude, Ar(σ(δk)=100,00N∕m)

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Figure 9

PDF of the maximum amplitude, Armax(σ(δk)=100,00N∕m)



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