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RESEARCH PAPERS

An Approach to Optimum Shape Determination for a Class of Thin Shells of Revolution

[+] Author and Article Information
Han-Chung Wang

Systems Development Division, IBM Corporation, Endicott, N. Y.

Will J. Worley

Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill.

J. Appl. Mech 35(3), 524-529 (Sep 01, 1968) (6 pages) doi:10.1115/1.3601246 History: Received June 14, 1967; Revised January 30, 1968; Online September 14, 2011

Abstract

A method is presented for the determination of an optimum shape of a convex shell of revolution with respect to volume and weight. The technique depends on selecting a multiparameter equation and varying the parameters to achieve a near optimum shape for prescribed failure criteria. As an illustration of the method, the first quadrant of the meridian (x/a)α + (y/b)β = 1 is selected. Here a, b, α, and β are positive constants not necessarily integers, with α and β equal to or greater than unity. Variations in shape are expressed in terms of the parameters b/a, α and β. The procedure is applied to the selection of a thin shell which will fit within the space defined by a circular cylinder of radius b and length 2a. The shell is optimized, in terms of α and β, with respect to volume and weight. The numerical iteration was performed by means of a digital computer.

Copyright © 1968 by ASME
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