
Accession Number : AD0489818
Title : ELASTIC STABILITY OF SHELLS OF REVOLUTION BY THE VARIATIONAL APPROACH USING DISCRETE ELEMENTS.
Descriptive Note : Technical rept.,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB
Personal Author(s) : Navaratna, Dhirendra R.
Report Date : JUN 1966
Pagination or Media Count : 216
Abstract : A systematic procedure for obtaining the bifurcationbuckling point for shells of revolution under static axisymmetric loading by the variational approach using discrete elements is presented. Basic formulations are carried out for three different shell theories and the buckling loads obtained from these are compared. The formulations are illustrated and evaluated by comparisons with known solutions for a number of examples such as cylinders with uniform thickness under axial compression, a truncated hemispherical shell under axial tension, and torsional buckling of a truncated conical shell. New problems, such as an axiallycompressed cylinder with wall thickness varying alongs its length, and the torsional buckling of shallow and deep logarithmic shells have been solved to illustrate the versatility of this method. Buckling of the cylindrical shell under end compressive load is investigated for the influence of prebuckling deformation, edge conditions, radiustothickness ratio, and lengthtoradius ratio. The convergence of the buckling load for the discrete system is established by using an increasing number if discrete elements. Finally, an approximate, but reasonably accurate discreteelement model called the constantstrain model is presented, which predicts a critical buckling load close to that obtained by using a more rigorous model (variable strain model). (Author)
Descriptors : (*SHELLS(STRUCTURAL FORMS), BUCKLING), LOADS(FORCES), BODIES OF REVOLUTION, ELASTIC SHELLS, STRUCTURAL PROPERTIES, CYLINDRICAL BODIES, DEFORMATION, TENSILE PROPERTIES, HEMISPHERICAL SHELLS, CONICAL BODIES, WALLS, THICKNESS, COMPRESSIVE PROPERTIES, ELASTIC PROPERTIES, STABILITY, BOUNDARY VALUE PROBLEMS.
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE