Column Instability under Nonconservative Forces, with Internal and External Damping - - Finite Element Using Adjoint Variational Principles.

Abstract

In conjunction with adjoint variational principles, two classical problems of elastic stability under nonconservative forces and under the internal and external damping are studied using the finite element technique. The solutions are formulated in the framework of Rayleigh-Ritz method. It is demonstrated that this approach is very effective for solutions of complicated nonconservative stability problems. The destabilizing effect of Ziegler due to internal damping, the extreme sensitive nature of stabilizing or destabilizing effects for very small internal or external damping parameters and for other ranges of such effects of practical interest have been obtained for these two problems and are presented in several sets of curves.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1972
Accession Number
AD0755101

Entities

People

  • Julian J. Wu

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Resistance
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Damping
  • Differential Equations
  • Displacement
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Frequency
  • Instability
  • Modulus Of Elasticity
  • New York
  • Variational Equations
  • Variational Principles

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.