Nonlinear Transverse Vibrations and Stability of Spinning Disks With Nonconstant Spinning Rate

[+] Author and Article Information
T. H. Young

Department of Mechanical Engineering, National Taiwan Institute of Technology, Taipei, Taiwan, R.O.C.

J. Vib. Acoust 114(4), 506-513 (Oct 01, 1992) (8 pages) doi:10.1115/1.2930292 History: Received June 01, 1991; Revised January 01, 1992; Online June 17, 2008


This paper studies nonlinear transverse vibrations of spinning disks with nonconstant spinning rate. Here the angular speed of the disk is characterized as a small, periodic perturbation superimposed upon a constant speed. Due to this perturbation in angular speed, nonautonomous terms appear in the equation of motion, which results in the existence of parametric instability. In this paper, Galerkin’s method is first applied to yield a discretized system, and the method of multiple scales is used to obtain periodic solutions. All types of possible resonant combinations are investigated, and numerical results are shown for a simple harmonic speed perturbation.

Copyright © 1992 by The American Society of Mechanical Engineers
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