In-Plane Stress and Displacement Distributions in a Spinning Annular Disk Under Stationary Edge Loads
Resource
ASME Journal of Applied Mechanics 64: 897-904
Journal
ASME Journal of Applied Mechanics
Journal Volume
64
Journal Issue
4
Pages
897-904
Date Issued
1997
Date
1997
Author(s)
Jhu, Jhi-Lu
Abstract
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 centrifu- gal 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 thtvugh the Airy stress function. © 1997 ASME.
Type
journal article
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