| The in-depth contents |
| Publication year |
1988 |
| PDF |
Download |
| Title |
NONLINEAR ANALYSIS OF MINIMAL SURFACE BY FINITE ELEMENT METHOD |
| Author |
Hiroshi OHMORI,Nobuyuki HAGIHARA,Tetsuya MATSUI,Osamu MATSUOKA
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| Summary |
Numerical analysis scheme by the finite element method for the minimal surface, which has to be obtained as the initial surface to determine the design shape for membrane or tension structures, are mainly discussed. Introduction of the suitable subsidiary condition into the area functional is shown to be able to refine the convergence characteristics in the iteration process. As the subsidiary condition. the inside volume of the obtained surface and the length of the prescribed part on the surface are adopted. Multi-valued solution of the minimal surface is also discussed. where the second variation of the functional is shown to be able to be used for discrimination of the stability of the minimal surface solutions.
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