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Research Papers: Gas Turbines: Structures and Dynamics

Analysis of Bifurcations in Multiharmonic Analysis of Nonlinear Forced Vibrations 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 January 26, 2016; final manuscript received February 4, 2016; published online April 12, 2016. Editor: David Wisler.

J. Eng. Gas Turbines Power 138(10), 102502 (Apr 12, 2016) (11 pages) Paper No: GTP-16-1033; doi: 10.1115/1.4032906 History: Received January 26, 2016; Revised February 04, 2016

An efficient frequency-domain method has been developed to analyze the forced response of large-scale nonlinear gas turbine structures with bifurcations. The method allows detection and localization of the design and operating conditions sets where bifurcations occur, calculation of tangents to the solution trajectory, and continuation of solutions under parameter variation for structures with bifurcations. The method is aimed at calculation of steady-state periodic solution, and multiharmonic representation of the variation of displacements in time is used. The possibility of bifurcations in realistic gas-turbine structures with friction contacts and with cubic nonlinearity has been shown.

Copyright © 2016 by ASME
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References

Figures

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Fig. 1

A trajectory of maximum displacement calculated as a function of excitation frequency

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Fig. 2

A rotor with negative linear stiffness

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Fig. 3

Equilibrium configurations for the prestressed rotor support

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Fig. 4

Forced response of a simple rotor model: major solution curve and bifurcation points

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Fig. 5

Forced response of a simple rotor model with all the found bifurcation branches

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Fig. 6

Forced response of a simple rotor model with all the found bifurcation branches: a zoomed view for a low-frequency range

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Fig. 7

Comparison of the time-domain and frequency-domain solutions: a case of frequency increasing

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Fig. 17

Relative coefficient values of the tangents' equation

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Fig. 16

Time- and frequency-domain solutions: contact force at first rubbing contact for rotor deceleration

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Fig. 15

Time- and frequency-domain solutions: contact force at first rubbing contact for rotor acceleration, case 2

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Fig. 14

Time- and frequency-domain solutions: contact force at first rubbing contact for rotor acceleration, case 1

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Fig. 13

Contact interaction force at fourth rubbing contact for all the branching solutions

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Fig. 12

Contact interaction force at first rubbing contact for all the branching solutions

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Fig. 11

Contact interaction force at third rubbing contact for all the branching solutions: a zoomed view

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Fig. 10

Contact interaction force at third rubbing contact for all the branching solutions

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Fig. 9

Time-domain and frequency-domain solutions: the difference between displacements of bladed disk and casing

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Fig. 8

Comparison of the time-domain and frequency-domain solutions: a case of frequency decreasing

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Fig. 18

Convergence of the bifurcation localization: the simple rotor case

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Fig. 19

Convergence of the bifurcation localization: the gas turbine engine model

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