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Flexibility of curves on a single-sheet hyperboloid

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Abstract

Hyperbolic towers are towers in the shape of a single-sheet hyperboloid, and they are interesting in architecture. In this paper, we deal with the infinitesimal bending of a curve on a hyperboloid of one sheet; that is, we study the flexibility of the net-like structures used to make a hyperbolic tower. Visualization of infinitesimal bending has been carried out using Mathematica, and some examples are presented and discussed.

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Acknowledgements

The author is very grateful to the anonymous reviewers for their very useful comments and to Eugen Ljajko for his assistance with English language.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Priština - Kosovska Mitrovica, Kosovska Mitrovica, Serbia

    Miroslav D. Maksimović

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  1. Miroslav D. Maksimović
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Correspondence to Miroslav D. Maksimović.

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The author was supported by the research project 174025 of the Serbian Ministry of Science.

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Maksimović, M.D. Flexibility of curves on a single-sheet hyperboloid. J Eng Math 123, 19–27 (2020). https://doi.org/10.1007/s10665-020-10048-5

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  • DOI: https://doi.org/10.1007/s10665-020-10048-5

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