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Continuous System Models

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Models for Research and Understanding

Part of the book series: Simulation Foundations, Methods and Applications ((SFMA))

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Abstract

In this chapter, some general concepts on continuous models are discussed. This chapter refers both to models and to computer simulation. Classification of dynamic systems is reviewed and summarized. The main numerical methods for the concentrated parameter systems, governed by the ordinary differential equations are described. An example of a simulation task of a simple mechanical system is given. The methods of signal flow graphs and bond graphs are discussed. A new, alternate approach is proposed, using the differential inclusions instead of ordinary differential equations. Next, there are some remarks on the distributed parameter systems, partial differential equation models, and the finite element method. We do not discuss here software tools for continuous models. Any software described in publications of such type may result to be obsolete within a few years, while the more general concepts do not change so quickly.

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Authors and Affiliations

  1. Facultad de Ingenieria, Universidad Panamericana, Mexico City, Mexico

    Stanislaw Raczynski

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  1. Stanislaw Raczynski
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Correspondence to Stanislaw Raczynski .

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Raczynski, S. (2022). Continuous System Models. In: Models for Research and Understanding. Simulation Foundations, Methods and Applications. Springer, Cham. https://doi.org/10.1007/978-3-031-11926-2_2

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  • DOI: https://doi.org/10.1007/978-3-031-11926-2_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-11925-5

  • Online ISBN: 978-3-031-11926-2

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