Abstract
We use the Cosserat rod theory to present a unified picture of jump phenomena, associated with looping, snap-through, pop-out, etc., in twisted clamped rods undergoing large deflections. Both contact-free rods and rods with isolated points of self-contact are considered. Taking proper account of the symmetries of the problem we find that an arbitrary contact-free solution is fully characterised by four parameters; each point contact adds another two. A shooting method is used for solving the boundary value problem. An intricate bifurcation picture emerges with a strong interplay between planar and spatial rod configurations. We find new jump phenomena by treating the ratio of torsional to bending stiffness of the rod as a bifurcation parameter. Load-deflection curves are computed and compared with results from carefully conducted experiments on contact-free as well as self-contacting metal-alloy rods. (C) 2003 Elsevier Science Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 161-196 |
| Number of pages | 35 |
| Journal | International Journal of Mechanical Sciences |
| Volume | 45 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2003 |
Keywords
- cosserat rod
- clamped boundary conditions
- end rotation, (out-of-plane) buckling
- instability
- bifurcation
- self-contact
- looping
- snap-through
- pop-out
- experiments
- SUPERCOILED DNA MOLECULE
- NONLINEARLY ELASTIC RODS
- TWISTED RODS
- STABILITY
- PLASMIDS
- COLLAPSE
- BEHAVIOR
- LENGTH
- RINGS
- CABLE