On the multiple solution of axisymmetric minimum surfaces

H. Pálfalvi, Dóra and Hegedűs, István (2002) On the multiple solution of axisymmetric minimum surfaces. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 3 (2). pp. 157-167. ISSN 1586-2070

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Abstract

The optimum condition for the unloaded shape of prestressed tents is met by minimum surfaces. The simplest type of such structures is a rotationally symmetric catenary surface. In this paper, the authors present an analysis which shows that catenary surfaces cannot fit arbitrarily chosen boundary circles of the tent, and also that if a solution of the problem exists, also a dual solution can be found.

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