- Abstract:
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We analyze the dynamical stability of a naturally straight, inextensible and unshearable elastic rod, under tension and controlled end rotation, within the Kirchhoff model in three dimensions. The cases of clamped boundary conditions and isoperimetric constraints are treated separately. We obtain explicit criteria for the static stability of arbitrary extrema of a general quadratic strain energy. We exploit the equivalence between the total energy and a suitably defined norm to prove that loc...
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- Publication date:
- 2012
- URN:
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uuid:5ce5110d-1ed9-45cd-9f9d-87f704f9b41d
- Local pid:
- oai:eprints.maths.ox.ac.uk:1593
- Copyright date:
- 2012
Journal article
Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods
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