Abstract
Bond graph based physical systems modelling starts from a qualitative consideration of physical effects. In contrast to block diagrams, model development is not guided by setting up equations. The approach is rather object-oriented as explained in Section 1.3. This aspect is essential for bond graph based physical systems modelling. Due to its conceptual approach, bond graph modelling can help better understand the interacting physical processes in a system. Moreover, bond graphs, as an interdisciplinary graphical description language, can support communication between experts from different engineering disciplines. Nevertheless, like other graphical means, they shall enable the (automatic) derivation of equations so that the dynamic behaviour of a system, already existing or still under design, can be analysed by solving these equations numerically or symbolically when possible and appropriate.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
A.A. Bell and H.R. Martens. A comparison of linear graphs and bond graphs in the modeling process. Proc. Joint Automation Control Conference, pages 777–794, 1974.
A. Biran and M. Breiner. MATLAB for Engineers. Addison Wesley, 1999. URL http://www. Mathworks.com.
CAMP-G – User’s Manual. Cadsim Engineering, P. O. Box 4083, Davis, Ca 95617. URL http://www.bondgraph.com.
Controllab Products. 20-sim the power in modeling. URL http://www.20sim.com.
G. Dauphin-Tanguy. Les bond graphs. Hermes Science Europe Ltd., Paris, France, 2000. ISBN: 2-7462-0158-5.
A. Donaire and S. Junco. Derivation of input-state-output port-hamiltonian systems from bond graphs. Simulation Modelling Practice and Theory, 17(1):137–151, 2009.
Dynasim. URL http://www.Dynasim.se.
H. Elmqvist. A Structured Model Language for Large Continuous Systems. PhD thesis, Dept. of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1978. Report CODEN: LUTFD2/(TFRT-1015)/1-226/(1978).
O. Föllinger. Regelungstechnik – Einführung in die Methoden und ihre Anwendung. Hüthig GmbH, Heidelberg, 1994. ISBN: 3-7785-2336-8.
P.J. Gawthrop. MTT: Model Transformation Tools. In F.E. Cellier and J.J. Granda, editors, ICBGM’95, International Conference on Bond Graph Modeling and Simulation, volume 27(1) of Simulation Series, pages 197–202. SCS Publishing, 1995.
P.J. Gawthrop and L. Smith. Metamodelling: Bond Graphs and Dynamic Systems. Prentice Hall International (UK) Limited, Hemel Hempstead, 1996. ISBN: 0-13-489824-9.
P.J. Gawthrop and L. Smith. Causal Augmentation of Bond Graphs with Algebraic Loops. Journal of the Franklin Institute, 329:291–303, 1992.
D.C. Karnopp. On the order of a physical system model. Journal of Dynamic Systems, Measurement, and Control, 101:185–186, 1979.
D.C. Karnopp. Alternative Bond Graph Causal Patterns and Equation Formulations for Dynamic Systems. Journal of Dynamic Systems, Measurement, and Control, 105:58–63, 1983.
D.C. Karnopp. Direct Programming of Continuous System Simulation Languages Using Bond Graph Causality. Transactions of the Society for Computer Simulation, 1(1):49–60, 1984.
D.C. Karnopp and R.C. Rosenberg. Analysis and Simulation of Multiport Systems – The Bond Graph Approach to Physical System Dynamics. MIT Press, Cambridge, MA, 1968.
D.C. Karnopp, D.L. Margolis, and R.C. Rosenberg. System Dynamics: A Unified Approach. John Wiley & Sons, Inc., New York, 1990.
S.S. Rao. Mechanical Vibrations. Addison-Wesley, 1995.
J.C. Strauss, D.C. Augustin, M.S. Fineberg, B.B. Johnson, R.N. Linebarger, and F.H. Sanson. The SCi Continuous System Simulation Language (CSSL). SIMULATION, pages 281–303, Dec. 1967.
J. van Dijk. On the role of bond graph causality in modelling mechatronic systems. PhD thesis, Univ. of Twente, Enschede, The Netherlands, 1994.
P.E. Wellstead. Introduction to Physical System Modelling. Academic Press, London, 1979.
Rights and permissions
Copyright information
© 2010 Springer-Verlag London Limited
About this chapter
Cite this chapter
(2010). Derivation of Mathematical Models from Bond Graphs. In: Bond Graph Methodology. Springer, London. https://doi.org/10.1007/978-1-84882-882-7_3
Download citation
DOI: https://doi.org/10.1007/978-1-84882-882-7_3
Publisher Name: Springer, London
Print ISBN: 978-1-84882-881-0
Online ISBN: 978-1-84882-882-7
eBook Packages: EngineeringEngineering (R0)