Accession Number : AD0716862

Title :   Buckling of a Circular Elastic Ring Confined to a Uniformly Contracting Circular Boundary,

Corporate Author : NEW YORK UNIV BRONX DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : El-Bayoumy,Lotfi

Report Date : SEP 1970

Pagination or Media Count : 49

Abstract : The present paper contains a detailed analysis of the title problem. Also included is a review of related buckling problems available in the literature. The buckled configuration is assumed to consist of two regions, viz., the detached region, where shallow arch approximations are adopted, and an attached region, where the ring assumes a constant curvature. The problem is treated as a variational problem with variable end points for which the variational formulation yields, in addition to the differential equations and boundary conditions, a transversality condition, determining the extend of the detached region. The results indicate that the ring will not buckle unless external disturbances are present. A discussion of energy barriers shows that the ring's ability to sustain external disturbances diminishes as the contraction increases. (Author)

Descriptors :   (*ELASTIC SHELLS, BUCKLING), (*PRESSURE VESSELS, REINFORCING MATERIALS), RINGS, REINFORCED CONCRETE, LOADS(FORCES), THERMAL STABILITY, HYDROSTATIC PRESSURE, STRAIN(MECHANICS), BOUNDARY VALUE PROBLEMS, STRESSES, CALCULUS OF VARIATIONS, THESES

Subject Categories : Containers and Packaging
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE