A transfer matrix approach to vibration localization in mistuned blade assemblies

Gísli Óttarsson, Christophe Pierre

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A study of mode localization in mistuned bladed disks is performed using transfer matrices. The transfer matrix approach yields the free response of a general, mono-coupled, perfectly cyclic assembly in closed form. A mistuned structure is represented by random transfer matrices, and the expansion of these matrices in terms of the small mistuning parameter leads to the definition of a measure of sensitivity to mistuning. An approximation of the localization factor, the spatially averaged rate of exponential attenuation per blade-disk sector, is obtained through perturbation techniques in the limits of high and low sensitivity. The methodology is applied to a common model of a bladed disk and the results verified by Monte Carlo simulations. The easily calculated sensitivity measure may prove to be a valuable design tool due to its system-independent quantification of mistuning effects such as mode localization.

Original languageEnglish
Title of host publicationCombustion and Fuels; Oil and Gas Applications; Cycle Innovations; Heat Transfer; Electric Power; Industrial and Cogeneration; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; IGTI Scholar Award
PublisherAmerican Society of Mechanical Engineers
ISBN (Electronic)9780791878897
DOIs
StatePublished - 1993
EventASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, GT 1993 - Cincinnati, United States
Duration: May 24 1993May 27 1993

Publication series

NameASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, GT 1993
Volume2

Conference

ConferenceASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, GT 1993
Country/TerritoryUnited States
CityCincinnati
Period5/24/935/27/93

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Fuel Technology
  • Nuclear Energy and Engineering
  • Aerospace Engineering
  • Mechanical Engineering

Fingerprint

Dive into the research topics of 'A transfer matrix approach to vibration localization in mistuned blade assemblies'. Together they form a unique fingerprint.

Cite this