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The vibrating string controversy

 

作者: Gerald F. Wheeler,   William P. Crummett,  

 

期刊: American Journal of Physics  (AIP Available online 1987)
卷期: Volume 55, issue 1  

页码: 33-37

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.15311

 

出版商: American Association of Physics Teachers

 

关键词: STRINGS;MECHANICAL VIBRATIONS;HISTORICAL ASPECTS;WAVE EQUATIONS;BOUNDARY CONDITIONS

 

数据来源: AIP

 

摘要:

In the mid‐1700s a debate raged between Jean d’Alembert, Leonhard Euler, and Daniel Bernoulli concerning the proper solution to the classical wave equation. This controversy was partially solved by Lagrange and, more conclusively, by Fourier (50 years later) and it provides an interesting case study for the role of mathematics in the modeling of physical phenomena. Of particular note in this debate, was the meaning of boundary conditions. The controversy is summarized from the point of view of this mathematical physics perspective.

 

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