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The Dynamics of Stretchable Rods in the Inertial Case |
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| Authors: | Stéphane Lafortune Alain Goriely Michael Tabor |
| Institution: | (1) Department of Mathematics, College of Charleston, 66 George Street, Charleston, SC, 29424, U.S.A.;(2) Program in Applied Mathematics and Department of Mathematics, University of Arizona, Tucson, AZ, 85721-0089, U.S.A. |
| 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. |
| Keywords: | elastic rods nonlinear analysis linear stability orbital stability Hamiltonian structure |
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