APPLICATION OF INVARIANT IMBEDDING TO THE EIGENVALUE PROBLEMS FOR BUCKLING OF COLUMNS,

Abstract

A classical eigenvalue problem for the buckling of beams is transformed into an initial-value problem by means of invariant imbedding. This initial-value form is particularly well suited for numerical integration. Several examples are presented to illustrate the technique and to demonstrate the accuracy of the numerical solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0692696

Entities

People

  • D. W. Alspaugh
  • Harriet H. Kagiwada
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Buckling
  • Differential Equations
  • Eigenvalues
  • Equations
  • Failure (Mechanics)
  • Mathematical Analysis
  • Mathematics
  • Mechanical Phenomena
  • Numerical Integration

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.