A transfer matrix approach to free vibration localization in mistuned blade assemblies

G. Óttarsson, C. Pierre

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

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
Pages (from-to)589-618
Number of pages30
JournalJournal of Sound and Vibration
Volume197
Issue number5
DOIs
StatePublished - 14 Nov 1996

Fingerprint

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

Cite this