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Research Papers: Gas Turbines: Structures and Dynamics

A Sensitivity-Based Method for Direct Stochastic Analysis of Nonlinear Forced Response for Bladed Disks With Friction Interfaces

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

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

J. Eng. Gas Turbines Power 130(2), 022503 (Feb 29, 2008) (9 pages) doi:10.1115/1.2772634 History: Received April 27, 2007; Revised May 24, 2007; Published February 29, 2008

An efficient method is developed to calculate stochastic and uncertainty characteristics of forced response for nonlinear vibrations of bladed disks with friction and gap contact interfaces. Uncertainty ranges, statistical characteristics, and probability density functions for forced response levels are determined directly without any sampling procedure. The method uses approximations of the forced response level based on derived analytically and calculated extremely fast and accurately sensitivity coefficients of forced response with respect to friction contact interface parameters. The method effectiveness allows analysis of strongly nonlinear vibration of bladed disks using realistic large-scale finite element models. The method is implemented in a program code developed at Imperial College and numerical examples of application of the method for stochastic analysis of a realistic blisc with underplatform dampers are provided.

Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

An example of a structure with friction contact interfaces: (a) a bladed-disk assembly, (b) friction contact between blade shrouds, and (c) friction underplatform dampers

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Figure 2

Establishing dependencies of the statistic characteristics of the forced response on those of the design parameters

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Figure 3

FE model of a blisc with a CR damper

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Figure 4

Forced response of the blisc with UPDs

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Figure 5

Dimensionless sensitivity of the forced response to UPD parameters

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Figure 6

Comparison of forced responses obtained by SBAs with accurate ones: a case of damper mass value variation

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Figure 7

Comparison of forced responses obtained by SBAs with accurate ones: a case of friction coefficient variation

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Figure 8

Uncertainty of forced response caused by damper parameter uncertainties: a case of 100% damper mass

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Figure 9

Uncertainty of forced response caused by damper parameter uncertainties: a case of 200% damper mass

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Figure 10

Uncertainty of forced response caused by damper parameter uncertainties: a case of 500% damper mass

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Figure 11

Coefficient of variance of forced response

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Figure 12

Comparison of the PDFs determined (i) by the Monte Carlo simulation (bar charts) and (ii) by the derived analytical expressions (solid curves)

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Figure 13

PDF for different excitation frequency values: normal distribution for friction coefficient and uniform for mass

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Figure 14

PDF for different excitation frequency values: uniform distribution for friction coefficient and uniform for mass

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Figure 15

PDF for different excitation frequency values: normal distribution for all parameters

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