STABILITY OF EQUILIBRIUM OF CONTINUOUS BODIES

Abstract

An investigation is presented of the stability of a particular configuration of equilibrium under the action of completely specified external loads. This supposedly known equilibrium configuration is denoted as the fundamental state or state I. The energy criterion of stability of this fundamental state may then be expressed in somewhat vague general terms by the statement that the existence of a proper relative minimum of the potential energy in state I is a necessary and sufficient condition for the stability of this configuration. A more precise statement of this energy criterion which is appropriate for its application to continuous systems is examined.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1962
Accession Number
AD0275734

Entities

People

  • W. T. Koiter

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Calculus
  • Calculus Of Variations
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Functional Analysis
  • Geometry
  • Government Procurement
  • Linear Differential Equations
  • Mathematical Analysis
  • New York
  • Potential Energy
  • Theorems
  • Three Dimensional
  • Variational Equations

Readers

  • Combustion science or combustion engineering.
  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.