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The method of characteristics applied to the massive spring problem

 

作者: James T. Cushing,  

 

期刊: American Journal of Physics  (AIP Available online 1984)
卷期: Volume 52, issue 10  

页码: 933-937

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13797

 

出版商: American Association of Physics Teachers

 

关键词: BOUNDARY CONDITIONS;OSCILLATIONS;SPRINGS;WAVE EQUATIONS

 

数据来源: AIP

 

摘要:

The method of characteristic curves applied to the wave equation is employed to obtain explicit solutions to the problem of a spring of massmoscillating with a massMattached to one end. For the case of the free spring (M=0), the method produces simple solutions expressible in terms of functions which are linear in the displacement and in the time.

 

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