Accession Number : ADP002948

Title :   Analysis of the Von Karman Equations by Group Methods,

Corporate Author : GEORGIA INST OF TECH ATLANTA SCHOOL OF MATHEMATICS

Personal Author(s) : Ames,K. A. ; Ames,W. F.

Report Date : FEB 1984

Pagination or Media Count : 11

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)

Descriptors :   *Groups(Mathematics), *Partial differential equations, Lie groups, Deflection, Plates, Couplings, Loads(Forces), Nonlinear analysis, Rotation, Time dependence, Symmetry

Distribution Statement : APPROVED FOR PUBLIC RELEASE