Vibrations of Bladed Disk Assemblies

Abstract

The problems associated with uneven forced response vibration amplitudes in bladed disk assemblies is considered in the report. It is established that uneven vibration amplitudes arise principally by the destruction of cyclic-symmetry by some small perturbations usually within the component manufacturing tolerances. Such perturbations first split some of the eigenvalue degeneracies inherent in all cyclic systems. This split in turn gives rise to the modal bifurcation phenomenon. Particular forms of the modal phenomenon give rise to the uneven vibration amplitudes and under some restricted conditions to the mode localization phenomenon. In this report, group theory, singularity theory and singular perturbation theory are combined to give a complete analysis of uneven amplitudes and mode localization; as a prelude to blade vibration control.

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Document Details

Document Type
Technical Report
Publication Date
Mar 29, 1991
Accession Number
ADA237805

Entities

People

  • A. K. Bajaj
  • O. D. Nwokah

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Engineered Resilient Systems
  • Space

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computational Science
  • Control Systems
  • Control Systems Engineering
  • Eigenvalues
  • Electrical Engineering
  • Engineers
  • Equations
  • Geometric Forms
  • Geometry
  • Mechanical Engineering
  • Modal Analysis
  • Operations Research
  • Propulsion Systems
  • Systems Engineering
  • Turbines
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.