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Research Papers

High-Fidelity Sensitivity Analysis of Modal Properties of Mistuned Bladed Disks Regarding Material Anisotropy

[+] Author and Article Information
Adam Koscso

School of Engineering and Informatics,
University of Sussex,
Brighton BN1 9QT, UK
e-mail: adam.koscso@sussex.ac.uk

Guido Dhondt

MTU Aero Engines AG,
Dachauer Strasse 665,
Munich 80995, Germany
e-mail: guido.dhondt@mtu.de

E. P. Petrov

School of Engineering and Informatics,
University of Sussex,
Brighton BN1 9QT, UK
e-mail: y.petrov@sussex.ac.uk

Manuscript received June 22, 2018; final manuscript received July 2, 2018; published online November 30, 2018. Editor: Jerzy T. Sawicki.

J. Eng. Gas Turbines Power 141(2), 021036 (Nov 30, 2018) (11 pages) Paper No: GTP-18-1299; doi: 10.1115/1.4040900 History: Received June 22, 2018; Revised July 02, 2018

A new method has been developed for sensitivity calculations of modal characteristics of bladed disks made of anisotropic materials. The method allows the determination of the sensitivity of the natural frequencies and mode shapes of mistuned bladed disks with respect to anisotropy angles that define the crystal orientation of the monocrystalline blades using full-scale finite element models. An enhanced method is proposed to provide high accuracy for the sensitivity analysis of mode shapes. An approach has also been developed for transforming the modal sensitivities to coordinate systems (CS) used in industry for description of the blade anisotropy orientations. The capabilities of the developed methods are demonstrated on examples of a single blade and a mistuned realistic bladed disk finite element models. The modal sensitivity of mistuned bladed disks to anisotropic material orientation is thoroughly studied.

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References

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Figures

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Fig. 1

Definition of the material and blade coordinate system: (a) definition of the material and blade CS and (b) blade CS in the global CS

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Fig. 2

Finite element models: (a) single blade and (b) quarter of the bladed disk

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Fig. 3

Normalized natural frequency of single blade with varied crystal orientation

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Fig. 4

Normalized natural frequency of three modes with varying crystal orientation: (a) normalized natural frequency 1 (1F), (b) normalized natural frequency 2 (1E), and (c) normalized natural frequency 6 (2E)

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Fig. 5

Normalized natural frequency sensitivities with respect to anisotropy angles

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Fig. 6

Validation results of the sensitivity of mode shape 6 (3E) with respect to α

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Fig. 7

Natural frequency-nodal diameter diagram of the cyclic symmetric bladed disk model with full contact on the shrouds

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Fig. 8

Mode shape variation for different anisotropy mistuning patterns: (a) mode shape A, (b) mode shape C, and (c) mode shape D

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Fig. 9

Validation of sensitivity of natural frequencies with respect to the anisotropy angles of blade 5: (a) first 200 modes and (b) selected modes from the first 12 families

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Fig. 10

Validation of the sensitivity of mode shape D (70) with respect to the anisotropy angles of blade 5

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Fig. 11

Error of the sensitivity of mode shapes for higher modes with respect to rotation vector components of blade 42

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Fig. 12

Mode shape D (70) and its sensitivity with respect to anisotropy angle α of blade 25: (a) mode shape and (b) mode shape sensitivity

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Fig. 13

Mode shape B: sensitivity of modal characteristics: (a) mode shape B, (b) sensitivity of natural frequency to α angles, and (c) sensitivity of axial mode shape to selected α angles

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Fig. 14

Mode shape 70 (D): sensitivity of modal characteristics: (a) mode shape 70 (D), (b) sensitivity of natural frequency to α angles, and (c) sensitivity of tangential mode shape to selected α angles

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Fig. 15

Mode shape E: sensitivity of modal characteristics: (a) mode shape E, (b) sensitivity of natural frequency to α angles, and (c) sensitivity of tangential mode shape to selected α angles

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Fig. 16

Highest value of the normalized natural frequencies with stick contact on the shroud

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Fig. 17

Highest value of the normalized natural frequencies with sliding contact on the shroud

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Fig. 18

Highest value of the normalized natural frequencies with no contact on the shroud

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Fig. 19

Highest value of the normalized natural frequency sensitivities to α for ten different mistuning patterns and with stuck contact on the shroud

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