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Research Papers: Gas Turbines: Structures and Dynamics

Stability Analysis of Multiharmonic Nonlinear Vibrations for Large Models of Gas Turbine Engine Structures With Friction and Gaps

[+] Author and Article Information
E. P. Petrov

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

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received June 22, 2016; final manuscript received July 9, 2016; published online September 20, 2016. Editor: David Wisler.

J. Eng. Gas Turbines Power 139(2), 022508 (Sep 20, 2016) (10 pages) Paper No: GTP-16-1263; doi: 10.1115/1.4034353 History: Received June 22, 2016; Revised July 09, 2016

An efficient method is proposed for the multiharmonic frequency-domain analysis of the stability for nonlinear periodic forced vibrations in gas turbine engine structures and turbomachines with friction, gaps, and other types of nonlinear contact interfaces. The method allows using large-scale finite element models for structural components together with detailed description of nonlinear interactions at contact interfaces between these components. The highly accurate reduced models are applied in the assessment of stability of periodic regimes for large-scale model of gas turbine structures. An approach is proposed for the highly accurate calculation of motion of a structure after it is perturbed from the periodic nonlinear forced response. Efficiency of the developed approach is demonstrated on a set of test cases including simple models and large-scale realistic bladed disk models with different types of nonlinearities: friction, gaps, and cubic nonlinear springs.

Copyright © 2017 by ASME
Topics: Stability , Friction
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References

Figures

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Fig. 1

Dependency of maximum displacement on the excitation frequency

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Fig. 2

Frequency dependency of the real parts of the stability factors

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Fig. 3

Frequency dependency of the imaginary parts of the stability factors

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Fig. 4

Real parts of the stability factors for different number of harmonics

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Fig. 5

Imaginary parts of the stability factors for different number of harmonics

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Fig. 6

Perturbed motion for first solution (stable) at 17 rad/s

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Fig. 7

Perturbed motion for second solution (unstable) at 17 rad/s

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Fig. 8

Perturbed motion for third solution (stable) at 17 rad/s

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Fig. 21

All the stability factors for the turbine blade at the normalized excitation frequency value 1.0

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Fig. 20

Selected stability factors for the turbine blade: effect of the number of mode shapes

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Fig. 19

Amplitudes of the turbine blade with cubic nonlinearity

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Fig. 18

All the stability factors for a block with friction at 85 Hz

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Fig. 17

Selected stability factors for the block with friction

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Fig. 16

Amplitudes of the block with friction nonlinearity

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Fig. 15

Selected stability factors for the block with cubic nonlinearity: effect of the number of mode shapes

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Fig. 14

Amplitudes of the block with cubic nonlinearity

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Fig. 12

Stability factors for the simple system with friction

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Fig. 11

Amplitudes of the simple system with friction

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Fig. 10

Stability factors for the simple system with a gap

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Fig. 9

Amplitudes of the simple system with a gap

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Fig. 13

Examples of the large-scale model analyzed: (a) a cantilever block and (b) a cooled turbine blade

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