Maximum amplification of blade response in mistuned multi stage assemblies

Javier Avalos, Marc Mignolet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


This paper focuses on the determination of the maximum amplification of blade response due to mistuning in multi stage assemblies. The modal optimization strategy developed earlier in connection with single stage models is extended here to multi stage configurations. Theoretical developments are carried out first and lead to the new upper limit of (1+√N 1+N2(g2/g1)+⋯) where N i are the number of blades on the stages i and gi = F -iT Mi-1 F-1with F -i the force vector applied on a sector of stage i and Mi its mass matrix. For identical stages, this maximum equals the Whitehead limit observed with single stages but with the number of blades equal to sum of the numbers of blades of the coupled stages. A computational validation of the theoretical results is achieved next on both a single degree of freedom per blade model and a reduced order model of a blisk. These numerical optimization efforts confirm the theoretical developments and demonstrate that such high amplification factors can indeed be achieved with small levels of mistuning. The effects of the number of blades on the different stages, damping in the system, stage coupling strength, etc are discussed in details.

Original languageEnglish (US)
Title of host publicationASME Turbo Expo 2010
Subtitle of host publicationPower for Land, Sea, and Air, GT 2010
Number of pages14
StatePublished - 2010
EventASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010 - Glasgow, United Kingdom
Duration: Jun 14 2010Jun 18 2010

Publication series

NameProceedings of the ASME Turbo Expo


OtherASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010
Country/TerritoryUnited Kingdom


  • Amplification factor
  • Blade vibration
  • Bladed disk
  • Mistuning
  • Modal optimization
  • Multi stage models
  • Optimization

ASJC Scopus subject areas

  • Engineering(all)


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