Stability Analysis of Free-Free Beams Using Finite Elements - An Unconstrained Adjoint Variational Approach.

Abstract

The stability behavior of a flexible missile idealized as a free-free beam is studied using the finite element technique. The structure is assumed to be under a constant thrust which, in turn, is subjected to a directional control device. A concentrated mass is included to model a piece of heavy machinery. The solution formulation - finite element in conjunction with unconstrained variational principles - is shown here to be general, simple to use and effective to overcome the difficulties arising from nonconservative forces, concentrated mass and feedback control features. As a basis of this approach, an unconstrained variational statement and the associated adjoint problems are introduced.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1975
Accession Number
ADA020424

Entities

People

  • Julian J. Wu

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Directional
  • Feedback
  • Variational Principles

Readers

  • Control Systems Engineering.
  • Pulsed Power and Plasma Physics.