Lifting, Loading, and Buckling in Conical Shells
| Autor: | Duffy, Daniel, McCracken, Joselle M., Hebner, Tayler S., White, Timothy J., Biggins, John S. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 131 (2023) 148202 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.131.148202 |
| Popis: | Liquid crystal elastomer films that morph into cones are strikingly capable lifters. Thus motivated, we combine theory, numerics, and experiments to reexamine the load-bearing capacity of conical shells. We show that a cone squashed between frictionless surfaces buckles at a smaller load, even in scaling, than the classical Seide/Koiter result. Such buckling begins in a region of greatly amplified azimuthal compression generated in an outer boundary layer with oscillatory bend. Experimentally and numerically, buckling then grows sub-critically over the full cone. We derive a new thin-limit formula for the critical load, $\propto t^{5/2}$, and validate it numerically. We also investigate deep post-buckling, finding further instabilities producing intricate states with multiple Pogorelov-type curved ridges arranged in concentric-circles or Archimedean spirals. Finally, we investigate the forces exerted by such states, which limit lifting performance in active cones. Comment: 7 pages, 4 figures. This version published in PRL, open access |
| Databáze: | arXiv |
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