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Research Papers: Gas Turbines: Structures and Dynamics

Modal Analysis Method for Blisks Based on Three-Dimensional Blade and Two-Dimensional Axisymmetric Disk Finite Element Model

[+] Author and Article Information
Wangbai Pan

Department of Aeronautics and Astronautics,
Fudan University,
Shanghai 200433, China
e-mail: 14110290001@fudan.edu.cn

Guoan Tang

Department of Aeronautics and Astronautics,
Fudan University,
Shanghai 200433, China
e-mail: tangguoan@fudan.edu.cn

Meiyan Zhang

Department of Aeronautics and Astronautics,
Fudan University,
Shanghai 200433, China
e-mail: zhangmy@fudan.edu.cn

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 December 28, 2015; final manuscript received September 1, 2016; published online December 7, 2016. Assoc. Editor: Philip Bonello.

J. Eng. Gas Turbines Power 139(5), 052504 (Dec 07, 2016) (12 pages) Paper No: GTP-15-1580; doi: 10.1115/1.4035142 History: Received December 28, 2015; Revised September 01, 2016

In this paper, a novel and efficient modal analysis method is raised to work on blisk structures based on mixed-dimension finite element model (MDFEM). The blade and the disk are modeled separately. The blade model is figured by 3D solid elements considering its complex configuration and its degrees-of-freedom (DOFs) are condensed by dynamic substructural method. Meanwhile, the disk is structured by 2D axisymmetric element developed specially in this paper. The DOFs of entire blisk are tremendously reduced by this modeling approach. The key idea of this method is derivation of displacement compatibility to different dimensional models. Mechanical energy equivalence and summation further contribute to the model synthesis and modal analysis of blade and disk. This method has been successfully applied on the modal analysis of blisk structures in turbine, which reveals its effectiveness and proves that this method reduces the computational time expenses while maintaining the precision performances of full 3D model. Though there is limitation that structure should have proper coverage of blades, this method is still feasible for most blisks in engineering practice.

FIGURES IN THIS ARTICLE
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Copyright © 2017 by ASME
Topics: Disks , Blades , Displacement
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References

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Figures

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Fig. 1

Cyclic symmetric structure

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Fig. 2

(a) Blisk in cutaway view, (b) 3D finite element model of blade, and (c) 2D finite element model of disk

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Fig. 3

(a) Blade and disk model shown in the same coordinate and (b) detail information of interface of disk and blade, including joint points and offset angle

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Fig. 4

MPCs applied on the top of disk. ◇ represents joint nodes. ○ represents dependent nodes.

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Fig. 5

Three-dimensional ring of one axisymmetric element

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Fig. 6

MPCs applied on the bottom of blade. ◇ represents joint nodes. ○ represents dependent nodes.

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Fig. 7

A set of blisk containing same disk with different number of blades

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Fig. 8

MDFEM corresponding to Fig. 7

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Fig. 9

Coverage–error relationship in Table 1

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Fig. 10

Sector model of blisk

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Fig. 11

Modal shape contour plots. (a) Sector model first order by patran (1.393711 × 10+03 Hz), (b) MDFEM first order by matlab (1.393649 × 10+03 Hz), (c) sector model third order by patran (3.371681 × 10+03 Hz), and (d) MDFEM third order by matlab (3.337990 × 10+03 Hz).

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