A GENERAL TECHNIQUE FOR BUCKLING ANALYSIS WITH A FINITE ELEMENT SOLUTION APPLICATION,

Abstract

This paper presents some of the basic principles of a particular technique for buckling load analysis. The technique is quite general and is not dependant on any particular one of the many methods of structural analysis but may be used in combination with any of them. Examples are given, based on finite element idealizations and using both the force and displacement methods of structural analysis. The object of the investigations described herein has been to establish the capabilities, potentials, advantages and disadvantages of the method and to establish them sufficiently to permit the evaluation of the method with respect to other buckling analysis techniques. The technique is based on an obvious physical model. In the force (stiffness) formulations an initial deflection (moment) distribution is assumed, moments (deflections) are obtained using the axial load, and the deflections (moments) of the structure required to equilibrate the moments (deflections) are obtained. The deflections (moments) are then considered as new assumptions and the process repeated. Convergence to a buckled shape is rapid, and the critical load is obtained as a ratio between successive unnormalized shapes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 16, 1966
Accession Number
AD0675798

Entities

People

  • Gardner W. Hicks Jr

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Axial Loads
  • Buckling
  • Convergence
  • Deflection
  • Displacement
  • Stiffness
  • Structural Analysis
  • Test And Evaluation

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Systems Analysis and Design