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Frequency jumps in the planar vibrations of an elastic beam

Abstract:

The small amplitude transverse vibrations of an elastic beam clamped at both extremities are studied. The beam is modeled as an extensible, shearable planar Kirchhoff elastic rod under large displacements and rotations, and the vibration frequencies are computed both analytically and numerically as a function of the loading. Of particular interest is the variation of mode frequencies as the load is increased through the buckling threshold. While for some modes there is no qualitative changes ...

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Publication date:
2011-01-01
URN:
uuid:07eb5392-1a37-40fe-a2c6-3fa57443bf3a
Local pid:
oai:eprints.maths.ox.ac.uk:1425

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