Singular cases in the optimum design of frames-Reference-Cited by-同舟云学术

Singular cases in the optimum design of frames

Published:1963 Issue:2 Volume:21 Page:91-103
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Megarefs George J.,Hodge Philip G.

Abstract

Many previous studies in optimum design have determined the parameters so as to set equal to zero the first variation of the property to be optimized. The present paper shows that in some simple cases the minimum value may not be a point of zero variation and that points of zero variation may be relative maxima as well as minima. A general theoretical explanation of such behavior is given and applications are made to simple frames.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1963-21-02/S0033-569X-1963-0152358-7/S0033-569X-1963-0152358-7.pdf

Reference20 articles.

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4. E. T. Onat and W. Prager Limits of economy of material in shells, De Ingenieur 67 (1955) 0.46

5. W. Prager, Minimum, weight design of a portal frame, Proc. ASCE 82 (1956) Paper 1073

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