Longitudinal Vibrations of a Vertical Column by the Method of Laplace Transform
作者:
L. H. Hall,
期刊:
American Journal of Physics
(AIP Available online 1953)
卷期:
Volume 21,
issue 4
页码: 287-292
ISSN:0002-9505
年代: 1953
DOI:10.1119/1.1933424
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
An interesting illustrative problem in mechanics is the motion executed by a vertical rod or column when it suffers sudden loss of support at the bottom. A solution is presented by the method of Laplace transform in two alternative forms: one represents the motion as a superposition of free fall and two oppositely directed progressive waves equal in amplitude and form; the other, as a free fall and a pulse, initiated at the bottom and propagated up and down the column upon reflection at the ends.
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