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:10.1121/1.1915605
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 41:518–521
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
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Chaabane, M.M., Plateaux, R., Choley, JY., Karra, C., Riviere, A., Haddar, M. (2014). Topological Approach for the Modeling of Complex and Mechatronic Systems. In: Abbes, M., Choley, JY., Chaari, F., Jarraya, A., Haddar, M. (eds) Mechatronic Systems: Theory and Applications. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-07170-1_2
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DOI: https://doi.org/10.1007/978-3-319-07170-1_2
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