Complementary variational principles for large deflections of a cantilever beam-Reference-Cited by-同舟云学术

Complementary variational principles for large deflections of a cantilever beam

Published:1975 Issue:3 Volume:33 Page:245-254
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Reeves R. I.

Abstract

Recent results on complementary variational principles and error bounds are applied to two problems concerning the large deflection of a horizontal cantilever. The results are illustrated by obtaining accurate variational solutions in the form of simple polynomials.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1975-33-03/S0033-569X-1975-0449135-7/S0033-569X-1975-0449135-7.pdf

Reference6 articles.

1. Oxford Mathematical Monographs;Arthurs, Arnold Magowan,1980

2. Dual extremum principles and error bounds for a class of boundary value problems;Arthurs, A. M.;J. Math. Anal. Appl.,1973

3. A Pergamon Press Book;Mikhlin, S. G.,1964

4. Pairs of complementary variational principles;Anderson, N.;J. Inst. Math. Appl.,1969

5. R. Frisch-Fay, Flexible bars, Butterworths, London, 1962, p. 35

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