In-Plane Stress and Displacement Distributions in a Spinning Annular Disk Under Stationary Edge Loads

[+] Author and Article Information
Jen-San Chen, Jhi-Lu Jhu

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 107, Republic of China

J. Appl. Mech 64(4), 897-904 (Dec 01, 1997) (8 pages) doi:10.1115/1.2788997 History: Received June 26, 1995; Revised May 22, 1997; Online October 25, 2007


It is well known that the in-plane stress and displacement distributions in a stationary annular disk under stationary edge tractions can be obtained through the use of Airy stress function in the classical theory of linear elasticity. By using Lame’s potentials, this paper extends these solutions to the case of a spinning disk under stationary edge tractions. It is also demonstrated that the problem of stationary disk-spinning load differs from the problem of spinning disk-stationary load not only by the centrifugal effect, but also by additional terms arising from the Coriolis effect. Numerical simulations show that the amplitudes of the stress and displacement fields grow unboundedly as the rotational speed of the disk approaches the critical speeds. As the rotational speed approaches zero, on the other hand, the in-plane stresses and displacements are shown, both numerically and analytically, to recover the classical solutions derived through the Airy stress function.

Copyright © 1997 by The American Society of Mechanical Engineers
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