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Modeling of Flexible Beam Networks and Morphing Structures by Geometrically Exact Discrete Beams

Accepted version
Peer-reviewed

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Type

Article

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Authors

Lestringant, Claire  ORCID logo  https://orcid.org/0000-0002-6929-4655
Kochmann, Dennis M 

Abstract

jats:titleAbstract</jats:title> jats:pWe 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.</jats:p>

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Keywords

computational mechanics, structures, beam, elasticity, viscoelasticity

Journal Title

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

Conference Name

Journal ISSN

0021-8936
1528-9036

Volume Title

87

Publisher

ASME International

Rights

All rights reserved