Accession Number : AD0666961
Title : NONLINEAR BOUNDARY VALUE PROBLEMS FOR THE CIRCULAR MEMBRANE.
Descriptive Note : Technical rept.,
Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES
Personal Author(s) : Callegari,Andrew J. ; Reiss,Edward L.
Report Date : FEB 1968
Pagination or Media Count : 32
Abstract : Existence and uniqueness theorems are proved for two boundary value problems for the axisymmetric deformation of a circular membrane subjected to normal pressure. The nonlinear Foppl membrane theory is employed. The shooting method is used to establish these results. It is also shown that if the edge is free to move in the plane of the membrane then a necessary and sufficient condition for the existence of a unique solution is that the pressure is self-equilibrating. The shooting method is applied to obtain a numerical solution of the fixed edge membrane with uniform normal pressure. (Author)
Descriptors : (*MEMBRANES, *DEFORMATION), (*BOUNDARY VALUE PROBLEMS, MEMBRANES), STRESSES, BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS, FUNCTIONS(MATHEMATICS), THEOREMS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE