
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 thicknessradius ratio of 0.01 is made. The snapbuckling behavior of the ring is indicated by a loaddeflection curve. The paper also provides a simple linear analysis which is applicable to the calculation of the initial portion of the loaddeflection curve.
Descriptors : (*RINGS, DEFORMATION), (*LOADS(FORCES), RINGS), FORCE(MECHANICS), EQUATIONS, MATHEMATICAL PREDICTION, NONLINEAR SYSTEMS
Distribution Statement : APPROVED FOR PUBLIC RELEASE