✦ LIBER ✦

Buckling and vibration of a rotating beam

✍ Scribed by A. Nachman

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 549 KB
Volume: 109
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(86)80380-7

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✦ Synopsis

The equations for the vibration of a rotating beam, such as a helicopter blade, are exhibited. The beam is elastic (in general non-linearly so), the description is geometrically exact, the axis of rotation does not necessarily pass through the beam's clamped end (precession) and cross-sectional shearing is accounted for by using a director theory. Particular attention is paid to the impossibility of vibration (or buckling) confined to a plane making an angle f3 to the axis of rotation unless f3 = 7T/2 (or 7T/2 or 0) or rotatory inertia is neglected. For purposes of illustration the analysis is specialized to describe Euler-Bernoulli and Timoshenko beams.

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