Maximum amplification of blade response due to mistuning: Localization and mode shapes aspects of the worst disks

Alejandro J. Rivas-Guerra, Marc Mignolet

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

3 Scopus citations

Abstract

This paper focuses on the determination and study of the maximum amplification of the steady state forced response of bladed disks due to mistuning. First, an optimization strategy is proposed in which partially mistuned bladed disks are considered as physical approximations of the worst case disk and the mistuned properties are sought to maximize the response of a specific blade. This approach is exemplified on both a reduced order model of a blisk and a single-degree-of-freedom per blade disk model an extensive parametric study of which is conducted with respect to blade-to-blade coupling, damping, and engine order. A mode shape-based formulation of the amplification factor is then developed to clarify the findings of the parametric study in the strong coupling/small damping limit. In this process, the upper bound of Whitehead is recovered for all engine orders and number of blades and the conditions under which this limit is exactly achieved or closely approached are clarified. This process also uncovers a simple yet reliable approximation of the resonant mode shapes and natural frequencies of the worst disk.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, International Gas Turbine Institute, Turbo Expo (Publication) IGTI
Pages875-889
Number of pages15
Volume4 B
DOIs
StatePublished - 2002
EventProceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics - Amsterdam, Netherlands
Duration: Jun 3 2002Jun 6 2002

Other

OtherProceedings of the ASME TURBO EXPO 2002: Ceramics Industrial and Cogeneration Structures and Dynamics
CountryNetherlands
CityAmsterdam
Period6/3/026/6/02

Keywords

  • Blade vibration
  • Maximum amplitude
  • Mistuning
  • Mode shape
  • Optimization

ASJC Scopus subject areas

  • Engineering(all)

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