✦ LIBER ✦

VIBRATION ANALYSIS OF A ROTATING TIMOSHENKO BEAM

✍ Scribed by S.C. LIN; K.M. HSIAO

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 263 KB
Volume: 240
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.3234

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✦ Synopsis

The governing equations for linear vibration of a rotating Timoshenko beam are derived by the d&Alembert principle and the virtual work principle. In order to capture all inertia e!ect and coupling between extensional and #exural deformation, the consistent linearization of the fully geometrically non-linear beam theory is used. The e!ect of Coriolis force on the natural frequency of the rotating beam is considered. A method based on the power series solution is proposed to solve the natural frequency of the rotating Timoshenko beam. Numerical examples are studied to verify the accuracy of the proposed method and to investigate the e!ect of Coriolis force on the natural frequency of rotating beams with di!erent angular velocity, hub radius and slenderness ratio.

2001 Academic Press

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