- Abstract:
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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:
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uuid:07eb5392-1a37-40fe-a2c6-3fa57443bf3a
- Local pid:
- oai:eprints.maths.ox.ac.uk:1425
- Copyright date:
- 2011
Journal article
Frequency jumps in the planar vibrations of an elastic beam
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