Transverse Vibrations of a Rotating Twisted Timoshenko Beam Under Axial Loading

[+] Author and Article Information
W.-R. Chen, L. M. Keer

Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208

J. Vib. Acoust 115(3), 285-294 (Jul 01, 1993) (10 pages) doi:10.1115/1.2930347 History: Received August 01, 1991; Revised June 01, 1992; Online June 17, 2008


Transverse bending vibrations of a rotating twisted beam subjected to an axial load and spinning about its axial axis are established by using the Timoshenko beam theory and applying Hamilton’s Principle. The equations of motion of the twisted beam are derived in the twist nonorthogonal coordinate system. The finite element method is employed to discretize the equations of motion into time-dependent ordinary differential equations that have gyroscopic terms. A symmetric general eigenvalue problem is formulated and used to study the influence of the twist angle, rotational speed, and axial force on the natural frequencies of Timoshenko beams. The present model is useful for the parametric studies to understand better the various dynamic aspects of the beam structure affecting its vibration behavior.

Copyright © 1993 by The American Society of Mechanical Engineers
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