Abstract
Multi-domain modeling language Modelica is well suited for modeling and simulation of mechatronic systems. However, there are limitations when dealing with mechatronic components, taking into account the coupling between geometry and multi-physics behavior, because Modelica does not support solving of partial differential equations (PDEs). In this paper we present an approach that integrates radial basis functions with Modelica, for solving problems modeled with PDEs. An application of the method to a case of 1D thermal modeling and by comparing results to the finite element method, it is shown that this approach guarantees both fast simulation and accurate results.
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© 2013 Springer-Verlag Berlin Heidelberg
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Hammadi, M., Choley, JY., Riviere, A., Haddar, M. (2013). Integrating Radial Basis Functions with Modelica for Mechatronic Design. In: Haddar, M., Romdhane, L., Louati, J., Ben Amara, A. (eds) Design and Modeling of Mechanical Systems. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37143-1_3
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DOI: https://doi.org/10.1007/978-3-642-37143-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37142-4
Online ISBN: 978-3-642-37143-1
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