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RESEARCH PAPERS

A Method for Approximate Stability Analysis and Its Application to Circular Cylindrical Shells Under Circumferentially Varying Edge Loads

[+] Author and Article Information
A. Libai, D. Durban

Department of Aeronautical Engineering, Technion–Israel Institute of Technology, Haifa, Israel

J. Appl. Mech 40(4), 971-976 (Dec 01, 1973) (6 pages) doi:10.1115/1.3423196 History: Received November 01, 1971; Revised February 01, 1973; Online July 12, 2010

Abstract

A procedure is presented which relates the solution of the stability problem for an elastic structure subjected to a complex prebuckling stress distribution, to that of a solved stability problem for the same structure but with a “simple” stress distribution. The procedure reduces to obtaining the characteristic roots of a symmetric matrix. It is then applied to the buckling problem of a circular cylindrical shell subjected to a circumferentially varying compressive stress field and boundary conditions of the SS1-2 types. The main result is that for the boundary conditions and number of harmonic terms in the edge load taken, the buckling parameter approaches, as h/R → 0, that of a cylinder uniformly subjected to the maximum circumferential stress.

Copyright © 1973 by ASME
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