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Research Papers: Gas Turbines: Structures and Dynamics

Reduced-Order Modeling of Bladed Disks Considering Small Mistuning of the Disk Sectors

[+] Author and Article Information
Lukas Schwerdt

Institute of Dynamics and Vibration Research,
Leibniz Universität Hannover,
Hannover 30167, Germany
e-mail: schwerdt@ids.uni-hannover.de

Sebastian Willeke, Lars Panning-von Scheidt, Jörg Wallaschek

Institute of Dynamics and Vibration Research,
Leibniz Universität Hannover,
Hannover 30167, Germany

1Corresponding author.

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received June 28, 2018; final manuscript received July 16, 2018; published online December 10, 2018. Editor: Jerzy T. Sawicki.

J. Eng. Gas Turbines Power 141(5), 052502 (Dec 10, 2018) (7 pages) Paper No: GTP-18-1393; doi: 10.1115/1.4041071 History: Received June 28, 2018; Revised July 16, 2018

A model order reduction method based on the component mode synthesis for mistuned bladed disks is introduced, with one component for the disk and one component for each blade. The interface between the components at the blade roots is reduced using the wave-based substructuring (WBS) method, which employs tuned system modes. These system modes are calculated first, and used subsequently during the reduction of the individual components, which eliminates the need to build a partially reduced intermediate model with dense matrices. For the disk, a cyclic Craig–Bampton (CB) reduction is applied. The deviations of the stiffness and mass matrices of individual disk sectors are then projected into the cyclic basis of interior and interface modes of the disk substructure. Thereby, it is possible to model small disk mistuning in addition to large mistuning of the blades.

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Copyright © 2019 by ASME
Topics: Disks , Blades
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References

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Figures

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Fig. 1

Degrees of freedom of a blisk sector

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Fig. 2

Analyzed compressor blisk: (a) full blisk and (b) sector mesh

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Fig. 3

Eigenfrequencies of the tuned blisk

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Fig. 4

Frequency response of all blade tips of the blisk with mistuned disk sectors. First mode family, EO2.

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Fig. 5

Frequency response of all blade tips of the blisk with mistuned disk sectors. Fourth mode family, EO2.

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Fig. 6

Relative eigenfrequency error of the ROM for the blisk with a Gaussian frequency mistuning of the disk segments with a standard deviation of 2%. The legend indicates the number of modes used per sector for the blade, disk and interface.

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Fig. 7

Relative eigenfrequency error of the ROM for the tuned blisk. The legend indicates the number of modes used per sector for the blade, disk and interface.

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Fig. 8

Median amplitude magnification of the first mode family, ND2 depending on mistuning level

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Fig. 9

Median amplitude magnification of the fourth mode family, ND2 depending on mistuning level

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