
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Iconic Diagrams And Dimensional Analysis For Bond Graphs 
Authors: 
Jean Thoma, Gianni Mocellin 
Published in: 
(2006).ECMS
2006 Proceedings edited by: W. Borutzky, A. Orsoni, R. Zobel. European
Council for Modeling and Simulation. doi:10.7148/2006 ISBN:
0955301807 20^{th}
European Conference on Modelling and Simulation, Bonn,
May 2831, 2006 
Citation
format: 
Thoma, J., & Mocellin, G.
(2006). Iconic Diagrams And Dimensional Analysis For Bond Graphs. ECMS 2006
Proceedings edited by: W. Borutzky, A. Orsoni, R. Zobel
(pp. 181185). European Council for Modeling and Simulation. doi:10.7148/20060181 
DOI: 
http://dx.doi.org/10.7148/20060181 
Abstract: 
This paper
consists of two parts. Firstly, we consider icons instead of BG symbols,
which are better accepted by some people. Secondly, we take dimensional
analysis for any physical quantities that are built from fundamental and derived quantities. The main thing is that
they have a special mathematical structure and only quantities of the same
dimension can be equated, added or subtracted. By multiplication, on the
other hand, physical quantities can be combined, i.e. area is the product of
two lengths and velocity is the quotient of a length and a time. We develop this
algebra where nondimensional combinations are important such as for instance the Reynolds number. This leads to Buchinghamâ€™s ô€€‚ theorem. Also, physical quantities
are built from fundamental units such as length, time and mass. However it is
clearer to use length, time and force or even length, time and energy
instead. 
Full
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