TT 1991 Abstract
Effect of Displacement-Dependent Membrane
Stresses on the Axisymmetric Configuration of a Spinning Flexible
Disk
J.F. Maher and G.G. Adams
Summary
A flexible elastic disk is rotating at constant angular velocity in close proximity to a
stationary baseplate. Such a configuration can be used to stabilize the flexible medium
in magnetic and/or optical recording applications. The influence of coupling between
in-plane displacements and transverse deflections is investigated. The effects of bending
stiffness and of the air flow between the disk and the backplate are also included.
Solutions of the nonlinear differential equations are obtained using finite difference
approximations and an iterative approach. The results for this reference configuration
are the transverse deflections, the air film pressure, and the displacement-induced
membrane state. The significance of coupling is assessed. The governing equations of the
disk and of the air film are then linearized about the reference configuration and a
measure of the disk stiffness is determined. Comparisons are made with another model
which uses an elastic foundation parameter in order to represent the air film.
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