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TECHNICAL PAPERS

Direct Parametric Analysis of Resonance Regimes for Nonlinear Vibrations of Bladed Disks

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

Centre of Vibration Engineering, Mechanical Engineering Department, Imperial College London, South Kensington Campus, London SW7 2AZ, UKy.petrov@imperial.ac.uk

J. Turbomach 129(3), 495-502 (Jul 25, 2006) (8 pages) doi:10.1115/1.2720487 History: Received July 24, 2006; Revised July 25, 2006

A method has been developed to calculate directly resonance frequencies and resonance amplitudes as functions of design parameters or as a function of excitation levels. The method provides, for the first time, this capability for analysis of strongly nonlinear periodic vibrations of bladed disks and other structures with nonlinear interaction at contact interfaces. A criterion for determination of major, sub-, and superharmonic resonance peaks has been formulated. Analytical expressions have been derived for accurate evaluation of the criterion and for tracing resonance regimes as function of such contact interface parameters as gap and interference values, friction and contact stiffness coefficients, and normal stresses. High accuracy and efficiency of the new method have been demonstrated on numerical examples including a large-scale nonlinear bladed disk model and major types of contact interfaces including friction contact interfaces, gaps, and cubic nonlinearities.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

A system with friction damper: (a) comparison of direct parametric analysis and the conventional approach; and (b) resonance frequency and response level

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Figure 2

Effect of the tangential stiffness on a system with friction damper: (a) comparison of direct parametric analysis and the conventional approach; and (b) the resonance frequency and response level

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Figure 3

Maximum displacement and harmonic amplitudes of its multiharmonic expansion

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Figure 4

Tracing of major and superharmonic resonances by the direct parametric analysis for a varying level of excitation

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Figure 5

Effects of stiffness for a system with gap nonlinearity: (a) direct parametric analysis and the conventional approach; and (b) resonance frequency and response level

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Figure 6

A system with gap nonlinearity: (a) comparison of direct parametric analysis and the conventional approach; and (b) resonance frequency and response level

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Figure 7

A system with cubic nonlinearity: (a) comparison of direct parametric analysis and the conventional approach; and (b) resonance frequency and response level

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Figure 8

A FE model of the test-rig bladed disk and natural frequencies of the assembly (obtained without UPDs)

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Figure 9

Effects of limiting friction force for a bladed disk with UPDs: (a) direct parametric analysis and the conventional approach; and (b) the resonance frequency and response level

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Figure 10

Effects of excitation level for a bladed disc with UPDs: (a) comparison of direct parametric analysis and the conventional approach; and (b) the resonance frequency and response level

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