Nonlinear Transverse Vibrations of a Spinning Disk

[+] Author and Article Information
Jerzy L. Nowinski

University of Delaware, Newark, Del.

J. Appl. Mech 31(1), 72-78 (Mar 01, 1964) (7 pages) doi:10.1115/1.3629573 History: Received February 18, 1963; Online September 15, 2011


Using the von Karman field equations, large amplitude vibrations of a spinning disk are analysed. For definiteness, the disk is assumed to be free, and its deflection is represented by a two-term polynomial. A vibration mode associated with two nodal diameters is studied in more detail. A familiar phenomenon of a decreasing period of vibration with an increasing amplitude is corroborated. The results specialized to the linear case show a close agreement with the classical results of Lamb and Southwell. The dependence of the membrane stresses on the amplitude of vibration and the velocity of spin is discussed.

Copyright © 1964 by ASME
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