Abstract
Harmonic resonances and subharmonic resonances of order 1/3 in a continuous rotating shaft with distributed mass are discussed. The restoring force of the shaft has geometric stiffening nonlinearity due to the extension of the shaft centerline. The effect of a distributed lateral force, such as the gravity, is assumed. The possibility of the occurrences of harmonic resonances and subharmonic resonances of order 1/3, the shapes of resonance curves, and internal resonance phenomena are investigated.
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