2020 Torus-Like Balloons
Ivaïlo M. Mladenov
J. Geom. Symmetry Phys. 56: 59-65 (2020). DOI: 10.7546/jgsp-56-2020-59-65

Abstract

The concepts for inflatable deployable structures have been under development and evaluation for many years. Strangely enough only the Mylar balloon up to now has been described adequately. Here we provide the mathematical model and its analytical solution for the torus-like balloons. Their characteristics and shapes are described explicitly in terms of elliptic integrals. The obtained results are commented shortly and the possible directions for the related studies in the future are outlined.

Citation

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Ivaïlo M. Mladenov. "Torus-Like Balloons." J. Geom. Symmetry Phys. 56 59 - 65, 2020. https://doi.org/10.7546/jgsp-56-2020-59-65

Information

Published: 2020
First available in Project Euclid: 23 November 2020

MathSciNet: MR4178373
Digital Object Identifier: 10.7546/jgsp-56-2020-59-65

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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