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Singular inextensible limit in the vibrations of post-buckled rods: analytical derivation and role of boundary conditions

Abstract:

In-plane vibrations of an elastic rod clamped at both extremities are studied. The rod is modeled as an extensible planar Kirchhoff elastic rod under large displacements and rotations. Equilibrium configurations and vibrations around these configurations are computed analytically in the incipient post-buckling regime. Of particular interest is the variation of the first mode frequency as the load is increased through the buckling threshold. The loading type is found to have a crucial importan...

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Publication date:
2013-01-01
URN:
uuid:f007e24d-ceb2-457b-b835-4f61841b24b9
Local pid:
oai:eprints.maths.ox.ac.uk:1728

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