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Research Papers

A Reduced Order Model for Nonlinear Dynamics of Mistuned Bladed Disks With Shroud Friction Contacts

[+] Author and Article Information
S. Mehrdad Pourkiaee

Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Corso Duca degli Abruzzi 24,
Torino 10129, Italy
e-mail: mehrdad.pourkiaee@polito.it

Stefano Zucca

Department of Mechanical and Aerospace
Engineering,
Politecnico di Torino,
Corso Duca degli Abruzzi 24,
Torino 10129, Italy
e-mail: stefano.zucca@polito.it

1Corresponding author.

Manuscript received September 5, 2018; final manuscript received September 25, 2018; published online October 23, 2018. Assoc. Editor: Harald Schoenenborn.

J. Eng. Gas Turbines Power 141(1), 011031 (Oct 23, 2018) (13 pages) Paper No: GTP-18-1596; doi: 10.1115/1.4041653 History: Received September 05, 2018; Revised September 25, 2018

A new reduced order modeling technique for nonlinear vibration analysis of mistuned bladed disks with shrouds is presented. The developed reduction technique employs two component mode synthesis methods, namely, the Craig-Bampton (CB) method followed by a modal synthesis based on loaded interface (LI) modeshapes (Benfield and Hruda). In the new formulation, the fundamental sector is divided into blade and disk components. The CB method is applied to the blade, where nodes lying on shroud contact surfaces and blade–disk interfaces are retained as master nodes, while modal reductions are performed on the disk sector with LIs. The use of LI component modes allows removing the blade–disk interface nodes from the set of master nodes retained in the reduced model. The result is a much more reduced order model (ROM) with no need to apply any secondary reduction. In the paper, it is shown that the ROM of the mistuned bladed disk can be obtained with only single-sector calculation, so that the full finite element model of the entire bladed disk is not necessary. Furthermore, with the described approach, it is possible to introduce the blade frequency mistuning directly into the reduced model. The nonlinear forced response is computed using the harmonic balance method and alternating frequency/time domain approach. Numerical simulations revealed the accuracy, efficiency, and reliability of the new developed technique for nonlinear vibration analysis of mistuned bladed disks with shroud friction contacts.

Copyright © 2019 by ASME
Topics: Disks , Blades , Stiffness
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References

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Figures

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Fig. 1

Evolution of DOFs during the reduction

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Fig. 2

FE model of the academic bladed disk and the single-sector model

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Fig. 3

Natural frequency versus NDs for the tuned bladed disk in fully stick condition

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Fig. 4

The influence of LI modeshapes on the eigenvalue deviation between ROM and ANSYS results (tuned blisk in stick)

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Fig. 5

The influence of CB modes on the eigenvalue deviation between ROM and ANSYS results (tuned blisk in stick)

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Fig. 6

The influence of LI modeshapes on the eigenvalue deviation between ROM and ANSYS results (mistuned blisk in stick)

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Fig. 7

The influence of CB modes on the eigenvalue deviation between ROM and ANSYS results (mistuned blisk in stick)

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Fig. 8

The effect of mistuned LI modeshapes on the accuracy of the predicted eigenvalues by the ROM

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Fig. 9

Modal correlation between tuned and mistuned LI modeshapes

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Fig. 10

Modal correlation between ROM eigenvectors based on tuned and mistuned LI modes

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Fig. 11

The influence of neglecting the mistuning in K̂ partition on the accuracy of predicted eigenvalues by the ROM

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Fig. 12

Localized modeshapes obtained from ROM and FE model

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Fig. 13

Comparison of nonlinear forced response levels of mistuned ROMs and FE model (EO = 5)

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Fig. 14

Nonlinear forced response levels of the mistuned ROM versus ref FE: (a) N0/F0 = 5, (b) N0/F0 = 2, (c) N0/F0 = 1, and (d) N0/F0 = 0.5

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Fig. 15

Nonlinear response amplification of the mistuned bladed disk (EO =5 and N0/F0 = 5)

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