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A spinning beam subjected to a moving deflection dependent load,: Part ii: parametric resonance

✍ Scribed by A. Argento; H.L. Morano

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 413 KB
Volume: 182
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1995.0221

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✦ Synopsis

The parametric resonance of a spinning Timoshenko beam is studied for pinned and clamped supports. Axially moving loading, which is deflection dependent and contains superposed harmonic time dependence, is applied to the beam. The deflection dependent nature of the loading produces time dependent coefficients in the governing equations and hence the possibility of parametric resonance when the time dependence is periodic. Dynamic instability diagrams are determined by the monodromy matrix method for various load cases. Instability regions are found which emanate from the beam's forward and backward precession natural frequencies and from various combinations of these frequencies. It is concluded that the Euler-Bernoulli theory may underestimate the level of possible instability in a rotating beam.

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