On Antiresonance in the Forced Response of Mistuned Bladed Disks

Mistuning in bladed disks usually increases the forced response of the maximum responding blade leading to shortened component life in turbine engines. This paper investigates mistuning using a transfer function approach where the frequency response functions (FRFs) are described by natural frequenc...

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Main Authors: Keith Jones, Charles Cross
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2003/191806
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author Keith Jones
Charles Cross
author_facet Keith Jones
Charles Cross
author_sort Keith Jones
collection DOAJ
description Mistuning in bladed disks usually increases the forced response of the maximum responding blade leading to shortened component life in turbine engines. This paper investigates mistuning using a transfer function approach where the frequency response functions (FRFs) are described by natural frequencies and antiresonant frequencies. Using this approach, antiresonant frequencies are shown to be a critical factor in determining the maximum blade response. Two insights are gained by formulating antiresonant frequencies as the eigenvalues of reduced system matrices: 1) Mistuning a particular blade has no effect on that blade's antiresonant frequencies. 2) Engine orders N and N/2, where N is the number of blades on the disk, tend to produce the highest maximum local response. Numerical examples are given using a spring-mass-oscillator model of a bladed disk. Pole-zero loci of mistuned bladed disks show that increased maximum blade response is often due to the damping of antiresonant frequencies. An important conclusion is that antiresonant frequencies can be arranged such that a mistuned bladed disk has a lower maximum blade response than a tuned bladed disk.
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spelling doaj-art-f7218f977f144ec39a787abd666e89ad2025-02-03T06:07:56ZengWileyShock and Vibration1070-96221875-92032003-01-0110213514610.1155/2003/191806On Antiresonance in the Forced Response of Mistuned Bladed DisksKeith Jones0Charles Cross1Propulsion Directorate, Air Force Research Laboratory, 1950 Fifth Street, Wright Patterson AFB, OH 45433-7251, USAPropulsion Directorate, Air Force Research Laboratory, 1950 Fifth Street, Wright Patterson AFB, OH 45433-7251, USAMistuning in bladed disks usually increases the forced response of the maximum responding blade leading to shortened component life in turbine engines. This paper investigates mistuning using a transfer function approach where the frequency response functions (FRFs) are described by natural frequencies and antiresonant frequencies. Using this approach, antiresonant frequencies are shown to be a critical factor in determining the maximum blade response. Two insights are gained by formulating antiresonant frequencies as the eigenvalues of reduced system matrices: 1) Mistuning a particular blade has no effect on that blade's antiresonant frequencies. 2) Engine orders N and N/2, where N is the number of blades on the disk, tend to produce the highest maximum local response. Numerical examples are given using a spring-mass-oscillator model of a bladed disk. Pole-zero loci of mistuned bladed disks show that increased maximum blade response is often due to the damping of antiresonant frequencies. An important conclusion is that antiresonant frequencies can be arranged such that a mistuned bladed disk has a lower maximum blade response than a tuned bladed disk.http://dx.doi.org/10.1155/2003/191806
spellingShingle Keith Jones
Charles Cross
On Antiresonance in the Forced Response of Mistuned Bladed Disks
Shock and Vibration
title On Antiresonance in the Forced Response of Mistuned Bladed Disks
title_full On Antiresonance in the Forced Response of Mistuned Bladed Disks
title_fullStr On Antiresonance in the Forced Response of Mistuned Bladed Disks
title_full_unstemmed On Antiresonance in the Forced Response of Mistuned Bladed Disks
title_short On Antiresonance in the Forced Response of Mistuned Bladed Disks
title_sort on antiresonance in the forced response of mistuned bladed disks
url http://dx.doi.org/10.1155/2003/191806
work_keys_str_mv AT keithjones onantiresonanceintheforcedresponseofmistunedbladeddisks
AT charlescross onantiresonanceintheforcedresponseofmistunedbladeddisks