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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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