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Basic principles and theorems of dimensional analysis and the theory of
model similarity of physical phenomena

Publication date: 11.12.2015

Technical Transactions, 2015, Budownictwo Zeszyt 2-B (12) 2015, pp. 241 - 272

https://doi.org/10.4467/2353737XCT.15.135.4172

Authors

Andrzej Flaga
Institute of Structural Mechanics, Cracow University of Technology
https://orcid.org/0000-0003-1759-4872 Orcid
All publications →

Titles

Basic principles and theorems of dimensional analysis and the theory of
model similarity of physical phenomena

Abstract

The paper concerns dimensional analysis and the theory of model similarity of physical phenomena. At the beginning of the considerations, basic notions, definitions, relationships and fundamental principles of the issues to be analysed has been presented. Next, Buckingham’s Π-theorem of dimensional analysis and theory of similarity as well as authorial generalized theorems Π of this field of interest have been derived. A separate chapter has been devoted to the problem of the nature of physical phenomena occurring in the mechanics of continuous or discrete material mediums. At the end of the paper, an example of the determination of similarity numbers in the case of a system with one degree of freedom at mechanical and kinematic excitation have been given.

References

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Information

Information: Technical Transactions, 2015, Budownictwo Zeszyt 2-B (12) 2015, pp. 241 - 272

Article type: Original article

Titles:

Polish:

Basic principles and theorems of dimensional analysis and the theory of
model similarity of physical phenomena

English:

Basic principles and theorems of dimensional analysis and the theory of
model similarity of physical phenomena

Authors

https://orcid.org/0000-0003-1759-4872

Andrzej Flaga
Institute of Structural Mechanics, Cracow University of Technology
https://orcid.org/0000-0003-1759-4872 Orcid
All publications →

Institute of Structural Mechanics, Cracow University of Technology

Published at: 11.12.2015

Article status: Open

Licence: None

Percentage share of authors:

Andrzej Flaga (Author) - 100%

Article corrections:

-

Publication languages:

English