Modeling of Flexible Beam Networks and Morphing Structures by Geometrically Exact Discrete Beams
| Autor: | Dennis M. Kochmann, Claire Lestringant |
|---|---|
| Přispěvatelé: | Lestringant, Claire [0000-0002-6929-4655], Apollo - University of Cambridge Repository |
| Rok vydání: | 2020 |
| Předmět: |
Physics
0303 health sciences Mechanical Engineering 02 engineering and technology Degrees of freedom (mechanics) Elasticity (physics) 021001 nanoscience & nanotechnology Condensed Matter Physics Topology structures 03 medical and health sciences Morphing Buckling Mechanics of Materials Computational mechanics computational mechanics beam elasticity 0210 nano-technology Rotation (mathematics) Beam (structure) viscoelasticity 030304 developmental biology |
| DOI: | 10.17863/cam.51721 |
| Popis: | We demonstrate how a geometrically exact formulation of discrete slender beams can be generalized for the efficient simulation of complex networks of flexible beams by introducing rigid connections through special junction elements. The numerical framework, which is based on discrete differential geometry of framed curves in a time-discrete setting for time- and history-dependent constitutive models, is applicable to elastic and inelastic beams undergoing large rotations with and without natural curvature and actuation. Especially, the latter two aspects make our approach a versatile and efficient alternative to higher-dimensional finite element techniques frequently used, e.g., for the simulation of active, shape-morphing, and reconfigurable structures, as demonstrated by a suite of examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|