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TECHNICAL BRIEFS

On the Vibration of a Rotating Disk

[+] Author and Article Information
S. Barasch, Y. Chen

Department of Mechanics and Materials Science, Rutgers University, The State University, New Brunswick, N. J.

J. Appl. Mech 39(4), 1143-1144 (Dec 01, 1972) (2 pages) doi:10.1115/1.3422847 History: Received April 01, 1972; Online July 12, 2010

Abstract

The equation of motion of a rotating disk, clamped at the inner radius and free at the outer radius, is solved by reducing the fourth-order equation of motion to a set of four first-order equations subject to arbitrary initial conditions. A modified Adams’ method is used to numerically integrate the system of differential equations. Results show that Lamb-Southwell’s approximate calculation of the frequency is justified.

Copyright © 1972 by ASME
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