AXIAL VIBRATIONS OF A WHIRLING BAR

Abstract

Axial vibrations of whirling bars are studied using undeformed coordinates. It is found that, in general, the effect of whirling is to lower the natural frequencies of the bars. For the static case an interesting result, which has not been previously reported, is obtained as a special case of the dynamic problem. When the angular velocity of the bar approaches certain critical values, static resonances occur and the axial displacements everywhere in the bar tend to become unboundedly large. These resonancesARE EXPLAINED PHYSICALLY. The same problem is also worked out using final or deformed coordinates and it is shown that the static resonances cannot come out of such an analysis. Moreover, the rotation does not have any effect on the natural frequencies when deformed coordinates are used. The results of the analysis using undefored coordinates appear to be more compatible with the physics of the problem.

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Document Details

Document Type
Technical Report
Publication Date
Feb 26, 1962
Accession Number
AD0273593

Entities

People

  • P. G. Bhuta

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Artificial Satellites
  • Boundaries
  • Boundary Value Problems
  • Coordinate Systems
  • Differential Equations
  • Displacement
  • Equations
  • Equations Of Motion
  • Frequency
  • Helicopter Rotors
  • Materials
  • Resonance
  • Resonant Frequency
  • Rotation
  • United States
  • Vibration

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Materials Science (Mechanical Engineering).