Accession Number : AD0622150

Title :   SYMMETRIC DEFORMATION OF A RADIALLYCONSTRAINED THIN CIRCULAR RING UNDER INERTIA LOADING,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB

Personal Author(s) : Bucciarelli,L. L. ,Jr. ; Pian,T. H. H.

Report Date : JUL 1965

Pagination or Media Count : 35

Abstract : This paper presents a derivation of the equations governing the elastic deformation of a thin circular ring which is acted upon by inertia loading along a direction in the plane of the ring. The ring is constrained such that no radial outward displacements are permitted. The resulting system of nonlinear equations are reduced to a convenient form which enables the application of a systematic iterative scheme for its solution. Analysis of a ring of a thickness-radius ratio of 0.01 is made. The snap-buckling behavior of the ring is indicated by a load-deflection curve. The paper also provides a simple linear analysis which is applicable to the calculation of the initial portion of the load-deflection curve.

Descriptors :   (*RINGS, DEFORMATION), (*LOADS(FORCES), RINGS), FORCE(MECHANICS), EQUATIONS, MATHEMATICAL PREDICTION, NONLINEAR SYSTEMS

Distribution Statement : APPROVED FOR PUBLIC RELEASE