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Research Papers

A Novel Perturbation-Based Approach for the Prediction of the Forced Response of Damped Mistuned Bladed Disks

[+] Author and Article Information
Yun Han

Stress Engineering Services, Inc.,
13610 Westland East Boulevard,
Houston, TX 77041-1205
e-mail: yun.han@stress.com

Marc P. Mignolet

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

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 22, 2013; final manuscript received February 24, 2015; published online March 23, 2015. Assoc. Editor: Jiong Tang.

J. Vib. Acoust 137(4), 041008 (Aug 01, 2015) (7 pages) Paper No: VIB-13-1252; doi: 10.1115/1.4029946 History: Received July 22, 2013; Revised February 24, 2015; Online March 23, 2015

This paper focuses on the formulation and validation of a novel perturbation method for the prediction of the forced response of mistuned bladed disks. At the contrary of most previous methods, this approach leads to a convergent series representation over the entire range of blade–disk coupling levels for small mistuning. The dominant parameter affecting the magnitude of the largest mistuning for which convergence occurs is shown to be the system damping with a weaker effect of the blade–disk coupling. Examples of application on a single degree-of-freedom per blade model and the reduced order model of a blisk demonstrate the potential of this novel approach. Finally, the applicability of this technique for the optimization of intentional mistuning pattern is shown.

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References

Figures

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Fig. 3

Largest magnitude of the eigenvalues of (D+ΔH-1)-1ND for a two-blade system, single degree-of-freedom per blade model

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Fig. 2

Blisk example: (a) blisk view, (b) blade sector finite element mesh, and (c) natural frequency versus nodal diameter plot

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Fig. 1

Single degree-of-freedom per blade bladed disk model (all mj are equal)

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Fig. 4

Mean amplification factor versus coupling stiffness, two-blade disk, single degree-of-freedom per blade model, for perturbation orders 1–4

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Fig. 5

Standard deviation of the amplification factor versus coupling stiffness, two-blade disk, single degree-of-freedom per blade model, for perturbation orders 1–4

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Fig. 6

Mean amplification factor versus coupling stiffness, six-blade disk, single degree-of-freedom per blade model, for perturbation orders 1–4

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Fig. 9

Standard deviation of the amplification factor in sweep versus coupling stiffness, 24-blade disk, third engine order excitation, single degree-of-freedom per blade model

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Fig. 7

Standard deviation of the amplification factor versus coupling stiffness, six-blade disk, single degree-of-freedom per blade model, for perturbation orders 1–4

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Fig. 8

Mean amplification factor in sweep versus coupling stiffness, 24-blade disk, third engine order excitation, single degree-of-freedom per blade model

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Fig. 10

Probability density function of the amplification factor, 24-blade blisk, case 1

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Fig. 11

Probability density function of the amplification factor, 24-blade blisk, case 2

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Fig. 12

Probability density function of the amplification factor, 24-blade blisk, case 3

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Fig. 13

Probability density function of the amplification factor, 24-blade blisk, case 4

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