Stability and Dynamic Behavior of Two Tethered Balloon Systems.

Abstract

The stability characteristics and dynamic motions of a tethered balloon are of interest in determining design criteria under which safe operating conditions are achievable. An analytical investigation was conducted for two tethered barrage balloons using two separate mathematical tools. The balloon motion is assumed to be uncoupled into longitudinal and lateral modes of motion. The equilibrium stability characteristics of both modes of motion are determined by solving for the complex roots of the characteristic equations. The dynamics of the motion, under the influences of wind gust or initial displacements, are found by numerically integrating the equations of motion on a digital computer. The effects of different tether lengths, payload weights and wind conditions are considered. It was found that the stability analysis was able to accurately determine the frequencies of oscillation and the mode shapes as displayed in the dynamic results. In general, the most significant result is the reduction of stability in both the longitudinal and lateral degrees of freedom as the tether length is shortened. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 30, 1973
Accession Number
AD0766439

Entities

People

  • Donald B. Block
  • George R. Doyle Jr.
  • Jerome J. Vorachek

Organizations

  • Goodyear Aerospace

Tags

DTIC Thesaurus Topics

  • Blimps
  • Computers
  • Design Criteria
  • Digital Computers
  • Displacement
  • Dynamics
  • Equations
  • Equations Of Motion
  • Frequency
  • Mathematics
  • Oscillation

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Fault Tolerant Diagnosis of Black and White Balloon Isolation Tests Using ¥.