Accession Number : AD0696925

Title :   ON NONUNIQUENESS OF SOLUTIONS OF THE von KARMAN EQUATIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Knightly,George H. ; Sather,D.

Report Date : MAY 1969

Pagination or Media Count : 25

Abstract : A constructive method is used to study the nonuniqueness of solutions of a pair of non-linear partial differential equations (the von Karman equations) governing the deflections of a thin, flat, elastic plate that is clamped at the edges and subjected to combined normal and edge loading. In addition, although in general the solutions of the above problem are not unique, it is shown that, for sufficiently small normal and edge loading, uniqueness does prevail. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *NONLINEAR DIFFERENTIAL EQUATIONS), (*STRUCTURAL MEMBERS, DEFLECTION), BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION, METAL PLATES, ELASTIC PROPERTIES, THEOREMS

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE