0
Research Papers: Gas Turbines: Structures and Dynamics

Frequency-Domain Sensitivity Analysis of Stability of Nonlinear Vibrations for High-Fidelity Models of Jointed Structures

[+] 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 July 6, 2017; final manuscript received July 9, 2017; published online September 19, 2017. Editor: David Wisler.

J. Eng. Gas Turbines Power 140(1), 012508 (Sep 19, 2017) (12 pages) Paper No: GTP-17-1303; doi: 10.1115/1.4037708 History: Received July 06, 2017; Revised July 09, 2017

For the analysis of essentially nonlinear vibrations, it is very important not only to determine whether the considered vibration regime is stable or unstable but also which design parameters need to be changed to make the desired stability regime and how sensitive is the stability of a chosen design of a gas-turbine structure to variation of the design parameters. In the proposed paper, an efficient method is proposed for a first time for sensitivity analysis of stability for nonlinear periodic forced response vibrations using large-scale models structures with friction, gaps, and other types of nonlinear contact interfaces. The method allows using large-scale finite element (FE) models for structural components together with detailed description of nonlinear interactions at contact interfaces. The highly accurate reduced models are applied in the assessment of the sensitivity of stability of periodic regimes. The stability sensitivity analysis is performed in frequency domain with the multiharmonic representation of the nonlinear forced response amplitudes. Efficiency of the developed approach is demonstrated on a set of test cases including simple models and large-scale realistic blade model with different types of nonlinearities, including friction, gaps, and cubic elastic nonlinearity.

Copyright © 2018 by ASME
Topics: Stability
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

Amplitude (a) and stability factors (b) of the linear oscillator

Grahic Jump Location
Fig. 2

Sensitivities of RSF and ISF with respect to natural frequency and modal damping variations

Grahic Jump Location
Fig. 3

The maximum displacement and the stability factors: cubic nonlinearity

Grahic Jump Location
Fig. 4

Stability sensitivity ∂λRe/∂k3

Grahic Jump Location
Fig. 5

Stability sensitivity ∂λIm/∂k3

Grahic Jump Location
Fig. 6

Stability sensitivities ∂λRe/∂ω1 and ∂λRe/∂η1

Grahic Jump Location
Fig. 7

Stability sensitivities ∂λIm/∂ω1 and ∂λIm/∂η1

Grahic Jump Location
Fig. 8

The maximum displacement and stability factors: gap nonlinearity

Grahic Jump Location
Fig. 9

Stability sensitivity ∂λRe/∂kgap

Grahic Jump Location
Fig. 10

Stability sensitivity ∂λRe/∂gap

Grahic Jump Location
Fig. 11

Dependency of the maximum displacement and stability factors on excitation frequency: friction contact

Grahic Jump Location
Fig. 12

Stability sensitivity ∂λRe/∂μ

Grahic Jump Location
Fig. 13

Stability sensitivity ∂λRe/∂kt

Grahic Jump Location
Fig. 14

Amplitudes of a beam with cubic nonlinearity

Grahic Jump Location
Fig. 15

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

Grahic Jump Location
Fig. 16

Stability sensitivity ∂λRe/∂k3

Grahic Jump Location
Fig. 17

Stability sensitivity ∂λRe/∂ω1

Grahic Jump Location
Fig. 18

Stability sensitivity ∂λRe/∂η1

Grahic Jump Location
Fig. 19

A cooled turbine blade: a FE model

Grahic Jump Location
Fig. 20

Amplitudes of the turbine blade nonlinear response

Grahic Jump Location
Fig. 21

Stability factors of the turbine blade

Grahic Jump Location
Fig. 22

Stability sensitivity ∂λRe/∂k3

Grahic Jump Location
Fig. 23

Stability sensitivity ∂λIm/∂k3

Grahic Jump Location
Fig. 24

Stability sensitivity ∂λRe/∂ωj for different modes

Grahic Jump Location
Fig. 25

Stability sensitivity ∂λRe/∂ηj for different modes

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In