Effect of Rotation on the Lateral Stability of a Free-Flying Column Subjected to an Axial Thrust with Directional Control.

Abstract

This report discusses some aspects of the stability problems of a free-flying column subjected to axial thrusts. In an age of spacecrafts and missiles, the stability of unsupported flying structures is of great importance. First the brief history of the lateral stability of a column is reviewed, and then the basic characteristic features of the stability problem of a free-free column are described. The mathematical techniques developed to solve these problems depend on a particular problem considered. The most general case requires the solution of a nonself-adjoint differential equation/boundary condition system, which is homogeneous and with zero eigenvalues. Numerical procedures for such a system appear to work well, although theoretical proof of convergence is still lacking. Results of these procedures are discussed. Keywords: Finite element analysis; Rotation; Rocket models.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1987
Accession Number
ADA188690

Entities

People

  • J. D. Vasilakis
  • J. J. Wu

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Complex Numbers
  • Differential Equations
  • Directional
  • Eigenvalues
  • Equations
  • Frequency
  • Geometry
  • Instability
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numbers
  • Security

Readers

  • Aerodynamics/Aeronautics.
  • Linear Algebra
  • Structural Dynamics.

Technology Areas

  • Space