Árboccal aládúcolt sátor alakjának meghatározása

H. Pálfalvi, Dóra and Hegedűs, István (2002) Árboccal aládúcolt sátor alakjának meghatározása. Építés - Építészettudomány, 30 (3-4). pp. 229-240. ISSN 0013-9661

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Abstract

The authors have worked out an iterative method based on finite differences for determining the optimum shape of prestressed tents with internal masts. In testing their method they found a connection between the convergence of the iteration, and the geometrical data of the tent. In this paper they present results of a series of numerical analysis that may show the theoretical background of that connection. The numerical analysis was made on the optimum shape problem of so-called Chinese hat tents that have rectangular ground plan with a lifted circle as internal boundary. The results have shown that the convergence is not too sensitive to the irregularities of the discretising network, to the excentricities of the internal circle, etc., but it substantially depends on the ratio of the lift and the radius of the circle. The iteration becomes divergent if the geometrical data of the boundaries specify an optimum shape that has vertical touching lines. An additional investigation with another optimum surface evolver code has shown that the radius of the inner circle and the side-length of the rectangular ground plan determine a maximum value of the lift which permits the existence of any solution.

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