Dynamics of a Liquid-Filled Gyroscope: Update of Theory and Experiment

Abstract

New comparisons are made between the theory of Stewartson, as modified by Wedemeyer, and existing experimental measurements of the motion of liquid-filled gyroscopes. Errors in previous comparisons are pointed out and corrected, as are some errors in several published presentations of the theory. Because some key parameters were not recorded during the experiments, complete comparisons of theoretical predictions with observed behavior cannot be made. The limited comparisons which can be made show that predicted and measured frequencies of greatest instability of the motion agree to within the experimental error; the growth rates of these frequencies agree to within 10% for Reynolds number greater than 10 to the 4th power, and to within 25% for the lower Reynolds number.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA083886

Entities

People

  • Nathan Gerber
  • Richard D. Whiting

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Aircrafts
  • Aspect Ratio
  • Boundary Layer
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Gyroscopes
  • Instability
  • Jet Propulsion
  • Liquid Filled Projectiles
  • Measurement
  • Mechanics
  • Resonance
  • Resonant Frequency
  • Reynolds Number

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Regression Analysis.