Buckling of a Circular Plate Resting on an Elastic Foundation.

Abstract

The Foppl and v. Karman nonlinear differential equations provide a mathematical description of the physical phenomena being studied. A variation of a perturbation procedure is used to obtain an approximate solution when the spring constant and normal loading are small and the compressive loading is in the neighborhood of a critical buckling load. The 'shooting' technique is used to continue the solutions numerically into regions of larger compressive loadings, normal loadings and spring constant. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0737241

Entities

People

  • H. Steinberg

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Buckling
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Perturbations
  • Real Variables

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.