A study to determine the effect of artificial tangential inertia on the dynamic response of elastic rings.
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Authors
Hickman, Harold William
Subjects
Advisors
Ball, Robert E.
Date of Issue
1968-03
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The elastic transient response of an impulsively loaded circular
ring is examined. The numerical stability criterion associated with
a finite difference formulation of the problem is briefly discussed,
and a method to reduce the stability restriction is presented. This
method assumes that the density of the ring is greater in the tangential
direction than it is in the radial direction. The analytical
solution to the ring equations with the artificial tangential inertia
is determined for a specific impulsive load. This solution is
compared with the solution to the ring equations with the correct
tangential inertia. The comparison shows that on the basis of predicting
peak values of stress, the results for the ring with the
artificial tangential inertia are very close to those of the unmodified
ring. Thus, the method reduces the numerical stability requirements
and does not significantly affect the principal results.
Type
Thesis
Description
Series/Report No
Department
Aeronautical Engineering