| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5470907 | Applied Mathematical Modelling | 2017 | 17 Pages |
Abstract
A comprehensive mathematical model for the bending-bending vibration of a rotating cantilever beam carrying an end rigid body at its free-end is derived using extended Hamilton's principle. The beam rotates about its longitudinal axis, excited in two orthogonal directions along the end rigid body. The model is compared to the existing simplified model of the beam-mass gyroscope. The discretized model is obtained using the method of assumed mode. Through the stationary, the eigenvalue, and the dynamic analyses of the system response, the model is evaluated.
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Authors
S.A. Mousavi Lajimi, G.R. Heppler, E. Abdel-Rahman,