Frame‐indifferent beam finite elements based upon the geometrically exact beam theory

By Peter Betsch, Paul Steinmann. 2002

219 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/629cc3d7c77628fad75c88644c00f25617a758ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Sigrid Leyendecker
2. Magdalena Ortiz
3. Jerrold E. Marsden
4. Christian Hesch
5. Peter Betsch
6. Martin Arnold
7. Holger Lang
8. J. Linn

In Mechanics of Materials

1. Christian Hesch
2. Peter Betsch
3. Jerrold E. Marsden
4. Magdalena Ortiz
5. Holger Lang
6. Sigrid Leyendecker
7. J. Linn
8. Martin Arnold

Citations in the corpus

• Multi-body dynamics simulation of geometrically exact Cosserat rods (2011, methodology): “Where can this work be situated within the state of the art rod models? The handling of flexible objects in multibody dynamics simulations has been a long term field of research until today [10, 11, 14, 54, 57, 58, 60].”
• Variational integrators for constrained dynamical systems (2008, methodology): “This can be circumvented by the spatial interpolation of the director triad in (113) as proposed independently in [39] and [25].”
• Director‐based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates (2014, methodology): “This can be verified in a straightforward manner in complete analogy to Section 3 in [8].”