Euler's buckling formula and Wirtinger's inequality
作者:
Vadim Komkov,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1983)
卷期:
Volume 14,
issue 6
页码: 661-668
ISSN:0020-739X
年代: 1983
DOI:10.1080/0020739830140601
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This article contains a discussion of Euler's buckling formula for a compressed elastic column. The most commonly used classroom derivations of this formula follow roughly the original arguments of Euler. For this reason the history of this problem is briefly reviewed. Alternative methods of derivation use energy arguments, including Rayleigh's principle and Kirchhof's energy inequality.
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