Abstract
The stability of twisted straight rods is described within the framework of the time dependent Kirchhoff equations for thin elastic filaments. A perturbation method is developed to study the linear stability of this problem and find the dispersion relations. A nonlinear analysis results in a new amplitude equation, describing the deformation of the rod beyond the instability, which takes the form of a pair of nonlinear, second-order evolution equations coupling the local deformation amplitude to the twist density. Various solutions, such as solitary waves, are presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3537-3540 |
| Number of pages | 4 |
| Journal | Physical review letters |
| Volume | 77 |
| Issue number | 17 |
| DOIs | |
| State | Published - 1996 |
ASJC Scopus subject areas
- General Physics and Astronomy
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