Abstract
Nonlinear amplitude equations for the near-threshold behavior of twisted extensible elastic rods under tension with inertial and dissipative dynamics are derived. In the inertial case localized solutions to the amplitude equations are derived and a linear stability criterion for the pulse solutions is obtained using the Hamiltonian formulation of the problem.
Original language | English (US) |
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Pages (from-to) | 173-195 |
Number of pages | 23 |
Journal | Nonlinear Dynamics |
Volume | 43 |
Issue number | 1-2 |
DOIs | |
State | Published - Jan 2006 |
Keywords
- Elastic rods
- Hamiltonian structure
- Linear stability
- Nonlinear analysis
- Orbital stability
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Electrical and Electronic Engineering
- Applied Mathematics