The dynamics of stretchable rods in the inertial case
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...
| Main Authors: | , , |
|---|---|
| Format: | Conference item |
| Published: |
2006
|
| _version_ | 1797098259582287872 |
|---|---|
| author | Lafortune, S Goriely, A Tabor, M |
| author_facet | Lafortune, S Goriely, A Tabor, M |
| author_sort | Lafortune, S |
| collection | OXFORD |
| description | 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. © Springer 2006. |
| first_indexed | 2024-03-07T05:07:00Z |
| format | Conference item |
| id | oxford-uuid:da438152-6f94-4df7-aa44-b8f91712b192 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:07:00Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:da438152-6f94-4df7-aa44-b8f91712b1922022-03-27T09:01:57ZThe dynamics of stretchable rods in the inertial caseConference itemhttp://purl.org/coar/resource_type/c_5794uuid:da438152-6f94-4df7-aa44-b8f91712b192Symplectic Elements at Oxford2006Lafortune, SGoriely, ATabor, MNonlinear 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. © Springer 2006. |
| spellingShingle | Lafortune, S Goriely, A Tabor, M The dynamics of stretchable rods in the inertial case |
| title | The dynamics of stretchable rods in the inertial case |
| title_full | The dynamics of stretchable rods in the inertial case |
| title_fullStr | The dynamics of stretchable rods in the inertial case |
| title_full_unstemmed | The dynamics of stretchable rods in the inertial case |
| title_short | The dynamics of stretchable rods in the inertial case |
| title_sort | dynamics of stretchable rods in the inertial case |
| work_keys_str_mv | AT lafortunes thedynamicsofstretchablerodsintheinertialcase AT gorielya thedynamicsofstretchablerodsintheinertialcase AT taborm thedynamicsofstretchablerodsintheinertialcase AT lafortunes dynamicsofstretchablerodsintheinertialcase AT gorielya dynamicsofstretchablerodsintheinertialcase AT taborm dynamicsofstretchablerodsintheinertialcase |