Accession Number : AD0620738

Title :   AN ITERATIVE SOLUTION FOR ROTATIONALLY SYMMETRIC NONLINEAR MEMBRANE PROBLEMS.

Descriptive Note : Scientific rept.,

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Goldberg,Martin A.

Report Date : JUL 1965

Pagination or Media Count : 48

Abstract : An improved iterative technique for the large deflection analysis of rotationally symmetric membranes is presented. This procedure takes advantage of the complementary aspects of two previously suggested relaxed iteration procedures. The resulting method utilizes the Keller-Reiss type functional for each iterate. In analogy to a technique previously suggested by the author, the relaxation parameter is then evaluated from an auxiliary equation. The iterative procedure is employed to obtain an approximate solution for an internally pressurized shallow spherical membrane, which is held at the boundary. Numerical results obtained herein are in agreement with previous solutions to this problem. (Author)

Descriptors :   (*MEMBRANES, DEFLECTION), (*ITERATIONS, DEFLECTION), (*DEFLECTION, MEMBRANES), BOUNDARY VALUE PROBLEMS, DIFFERENTIAL GEOMETRY, NONLINEAR DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE