A study of the coupling effect of inertia terms and vibration modes on the dynamic stability of simply supported cylinders of finite or infinite length subjected to uniform radial impulsive pressure (as in space reentry or underwater explosion). In the prebuckling stage, the shells exhibit symmetrical motion; during buckling they oscillate, but if the oscillation is bounded rather than uncontrolled, the system is called dynamically stable. The well-known analogy between thermal stress and equivalent loading is used to derive an equivalent thermal stress problem. The coupling of radial and tangential inertia terms does not seem to be pronounced for radial pressure. The consideration of nonlinear terms in the stability equation is essential. Appendixes give the derivation of the problem, the two inertia terms, and the nonlinear effect. (Presented at the 5th U.S. National Congress of Applied Mechanics, Minneapolis, June 1966.) 18 pp. Refs.
This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.