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2014 | OriginalPaper | Chapter

Topological Approach for the Modeling of Complex and Mechatronic Systems

Authors : Mariem Miladi Chaabane, Régis Plateaux, Jean-Yves Choley, Chafik Karra, Alain Riviere, Mohamed Haddar

Published in: Mechatronic Systems: Theory and Applications

Publisher: Springer International Publishing

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Abstract

The main objective of this chapter is to show the advantage of the application of a topological approach for the modeling of complex and mechatronic systems. This approach is based on the notions of topological collections and transformations and it is applied by using the MGS language (Modeling of General Systems). The various applications studied by applying this approach such as bars and beams structures and elementary mechatronic components (piezoelectric structures and motor reducer) are presented.

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Branin FH Jr (1966) The algebraic-topological basis for network analogies and the vector calculus. In: Fox J (ed) Proceedings of the symposium on generalized networks, Wiley-Interscience, New York

Cohen J (2004) Intégration des collections topologiques et des transformations dans un langage fonctionnel. Ph.D. thesis, University of Evry Val d’Essonne

Firestone F (1933) A new analogy between mechanical and electrical systems. J Acous Soc Am 4:249–267. doi:10.1121/1.1915605CrossRef

Kron G (1963) Diakoptics: the piecewise solution of large-scale systems. MacDonald, London

Miladi Chaabane M, Plateaux R, Choley J-Y et al (2013a) New approach to solve dynamic truss structure using topological collections and transformations. Int J Mech Sys Eng (IJMSE) 3:162–169

Miladi Chaabane M, Plateaux R, Choley J-Y et al (2103b) New topological approach for the modeling of mecatronic systems: application for piezoelectric structures. Eur J Comput Mech. doi:10.1080/17797179.2013.820896

Miladi Chaabane M (2014) Modélisation géométrique et mécanique pour les systèmes méca(tro)niques. PhD thesis, Institut Supérieur de Mécanique de Paris et Ecole Nationale d’Ingénieurs de Sfax

Miladi Chaabane M, Plateaux R, Choley J-Y, Karra C, Riviere A, Haddar M (2012) Topological approach to solve 2D truss structure using MGS language. IEEE MECATRONIC REM. 437–444

Plateaux R, Penas O, Rivière A, Choley J-Y (2007) A need for the definition of a topological structure for the complex systems modeling. CPI’2007—Rabat- Maroc

Plateaux R (2011) Continuité et cohérence d’une modélisation des systèmes mécatroniques basée(s) sur une structure topologique. PhD thesis, Institut Supérieur de Mécanique de Paris

Roth JP (1955) An application of algebraic topology to numerical analysis: on the existence of a solution to the network problem. Proc Natl Acad Sci 41:518–521CrossRefMATH

Spicher A (2006) Transformation de collections topologiques de dimension arbitraire. Application à la modélisation de systèmes dynamiques. PhD thesis, University of Evry Val d’Essonne

Title: Topological Approach for the Modeling of Complex and Mechatronic Systems
Authors: Mariem Miladi Chaabane
Régis Plateaux
Jean-Yves Choley
Chafik Karra
Alain Riviere
Mohamed Haddar
Publisher: Springer International Publishing
Book: Mechatronic Systems: Theory and Applications
Print ISBN: 978-3-319-07169-5

Electronic ISBN: 978-3-319-07170-1

Copyright Year: 2014
DOI: https://doi.org/10.1007/978-3-319-07170-1_2