A New Model for the Forced Response of a Mistuned Disk

Abstract

A simple model is developed for the forced response of a mistuned, center-clamped disk to predict experimental observations. The response near a resonance can take the form of rotating node lines. A simple model of a mistuned stationary disk was developed and the transverse responses to both rotating point loads and stationary point loads oscillating in time were determined. The disk model uses torsional springs applied at points on the outer edge of an annular disk to mistune a given transverse vibration mode such that the two resulting mistuned mode shapes are each described by only four terms. The response of all modes other than the two mistuned modes being examined was neglected, as only the behavior near a resonance was considered. The responses to both types did indeed have rotating node lines near a resonance. The node lines were predicted to be slightly distorted and rotating at a varying but average angular speed identical to the circular frequency of excitation. The results also indicate that the node lines will normally rotate forward due to a stationary load and backward due to a forward rotating load. Keywords: Theses; Turbine wheels.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA202769

Entities

People

  • Jeffrey S. Turcotte

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Amplitude
  • Bessel Functions
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Mechanics
  • Observation
  • Orientation (Direction)
  • Resonance
  • Resonant Frequency
  • Shape
  • Transverse
  • Vibration

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Structural Dynamics.