A Method for Use of Cyclic Symmetry Properties in Analysis of Nonlinear Multiharmonic Vibrations of Bladed Disks

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

Center for Vibration Engineering, Mechanical Engineering Department, Imperial College London, South Kensington Campus, London SW7 2AZ, UK

J. Turbomach 126(1), 175-183 (Mar 26, 2004) (9 pages) doi:10.1115/1.1644558 History: Received December 01, 2002; Revised March 01, 2003; Online March 26, 2004
Copyright © 2004 by ASME
Topics: Force , Vibration , Disks , Equations
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A cyclically symmetric bladed disk; (a) a whole structure, (b) a sector
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Models of the bladed disk compared: (a) a sector model, (b) the whole structure
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Comparison of results obtained with the proposed method and with using the whole bladed disk model: (a) a case of friction dampers, (b) nonlinear spring elements with nonlinear cubic dependence of forces on displacements, (c) gap elements
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Finite element model: (a) a sector of the bladed disk, (b) shroud of the sector model with shrouds adjacent to it, (c) interface nodes where friction and impact forces are considered
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Natural frequencies of a tuned bladed high-pressure turbine disk and the analyzed frequency range
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Forced response of the bladed disk for excitation by 4EO: (a) a case of different clearance values, (b) a case of different interference values
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Forced response of the bladed disk for excitation of different engine orders: (a) a case with gap between shrouds of 0.01 mm, (b) a case with interferences of 10−6mm



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