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


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
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In