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Comparisons between the mathematical models used for the analyses of linear circuits and trusses

 

作者: Glen Mullineux,  

 

期刊: International Journal of Mathematical Education in Science and Technology  (Taylor Available online 1989)
卷期: Volume 20, issue 6  

页码: 815-826

 

ISSN:0020-739X

 

年代: 1989

 

DOI:10.1080/0020739890200604

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The methods for the anlaysis of simple electrical circuits and of structural trusses can be based on matrix formulations. These are derived from the graph theoretical structure of the inter‐connectivity of the components involved and results about the inter‐relationships of the associated physical parameters. This paper looks at the analogies between the two situations and shows that with a good choice of notation the matrix formulations are identical. These ideas can be used in a teaching environment to illustrate that widely different engineering applications are susceptible of similar means of analysis and produce analogous mathematical models.

 

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