Analysis of the Von Karman Equations by Group Methods,

Abstract

One of the system of equations approximating the large deflection of plates consists of two coupled nonlinear fourth order partial differential equations, known as the von Karman equations. The fully symmetry group for the steady equations is a finitely generated Lie group with ten parameters. For the time dependent system the full symmetry group is an infinite parameter Lie group. SEveral subgroups of the full group are used to generate exact solutions of the time-independent and the time-dependent system. These include the dilatation group (similar solutions), rotation group, screw group and others. Physical implications and applications are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADP002948

Entities

People

  • K. A. Ames
  • W. F. Ames

Organizations

  • Georgia Tech

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Cooperation
  • Deflection
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Lie Groups
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Rotation
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Organizational Psychology.
  • Structural Dynamics.