Accelerating Load on a Rotating Rayleigh Beam

[+] Author and Article Information
A. Argento

Department of Mechanical Engineering, University of Michigan-Dearborn, 4901 Evergreen Road, Dearborn, MI 48128-1491

H. L. Morano, R. A. Scott

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125

J. Vib. Acoust 116(3), 397-403 (Jul 01, 1994) (7 pages) doi:10.1115/1.2930441 History: Received July 01, 1992; Revised March 01, 1993; Online June 17, 2008


The response of a rotating Rayleigh beam subjected to an axially accelerated distributed surface line load is studied. Clamped-clamped, clamped-pinned, and clamped-free support conditions and four types of load velocity profiles are treated. Galerkin’s method is used to suppress spatial dependence in the equations of motion; the resulting time dependent equations are numerically integrated. Results are presented for the beam displacement in the direction of the load and the gyroscopically induced transverse component. The effects of load speed, beam rotational speed, and geometry are studied; the potential for control of the beam vibrations by adjustment of the load velocity profile is discussed.

Copyright © 1994 by The American Society of Mechanical Engineers
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