Abstract
In this paper, we present a well posed "force" based formulation for nonlinearly elastic Cosserat rods with general boundary conditions enabling straightforward, efficient computation of spatial equilibria. We illustrate the ease and utility of our approach in four example problems, each exhibiting large spatial buckling, employing the path-following software AUTO.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 949-965 |
| Number of pages | 17 |
| Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2005 |
| Externally published | Yes |
Keywords
- Computation of spatial equilibria
- Elastic Cosserat rods
- Geometrically exact
ASJC Scopus subject areas
- Modeling and Simulation
- Engineering (miscellaneous)
- General
- Applied Mathematics