On the Stability of a Free-Free Beam Under Axial Thrust Subjected to Directional Control.

Abstract

This paper attempts to elucidate the mechanism of the loss of stability of a free-free beam subjected to a direction-controlled thrust. An adequate description of this basic problem does not appear to be available in the current literature. In contradiction to the claims made by several well-known investigations, it is shown here that (1) for a uniform beam under a constant thrust, the first nonzero eigenvalue represents an unstable bending mode, and (2) under directional control, the critical thrust varies with the sign and the magnitude of the control angle. Numerical data that have helped in understanding the problem are included.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1975
Accession Number
ADA020421

Entities

People

  • Julian J. Wu

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Directional
  • Eigenvalues
  • Equations
  • Humanities
  • Literature
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Theoretical Analysis.