Research Article
Aug 1971

Upper Bounds in Complementary Energy Method

Publication: Journal of the Engineering Mechanics Division
Volume 97, Issue 4

Abstract

Conditions are presented under which the complementary energy method for buckling would lead to predictable upper bounds to exact lowest critical loads. It is shown that such bounds, although defined in some column buckling problems (and implicitly in other one-dimensional systems), do not generally exist in higher-dimensional problems. Also shown is the fact that the complementary energy method for buckling, which is basically a stationarity principle, becomes a maximum principle when it leads to upper bounds.

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Journal of the Engineering Mechanics Division
Volume 97Issue 4August 1971
Pages: 1093 - 1102

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Published in print: Aug 1971
Published online: Feb 3, 2021

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Cenap Oran, M.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Missouri, Columbia, Mo.

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