AN ITERATIVE SOLUTION FOR ROTATIONALLY SYMMETRIC NONLINEAR MEMBRANE PROBLEMS.
POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
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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