Nonlinear mechanics of a ring structure subjected to multi-pairs of evenly distributed equal radial forces
| Autor: | Ludovic Taxis, Zhiyong Li, Nicola M. Pugno, F. Sun, Quiang Chen |
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| Jazyk: | angličtina |
| Předmět: |
Ring (mathematics)
Mathematics::Commutative Algebra Deformation (mechanics) Mechanical Engineering Computational Mechanics Structure (category theory) Regular polygon Geometry 02 engineering and technology 021001 nanoscience & nanotechnology Elastica theory Finite element method Strain energy 020303 mechanical engineering & transports Compressive strength 0203 mechanical engineering 0210 nano-technology Mathematics |
| Zdroj: | Acta Mechanica Sinica |
| ISSN: | 1614-3116 0567-7718 |
| DOI: | 10.1007/s10409-017-0665-8 |
| Popis: | Combining the elastica theory, finite element (FE) analysis, and a geometrical topological experiment, we studied the mechanical behavior of a ring subjected to multi-pairs of evenly distributed equal radial forces by looking at its seven distinct states. The results showed that the theoretical predictions of the ring deformation and strain energy matched the FE results very well, and that the ring deformations were comparable to the topological experiment. Moreover, no matter whether the ring was compressed or tensioned by N-pairs of forces, the ring always tended to be regular polygons with 2N sides as the force increased, and a proper compressive force deformed the ring into exquisite flower-like patterns. The present study solves a basic mechanical problem of a ring subjected to lateral forces, which can be useful for studying the relevant mechanical behavior of ring structures from the nano- to the macro-scale. |
| Databáze: | OpenAIRE |
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