Skip to main content
SpringerLink
Log in
Book cover

Bond Graph Modelling of Engineering Systems pp 3–52Cite as

Concept-Oriented Modeling of Dynamic Behavior

  • Chapter
  • First Online:

Abstract

This chapter introduces the reader to the concept-oriented approach to modeling that clearly separates ideal concepts from the physical components of a system when modeling its dynamic behavior for a specific problem context. This is done from a port-based point of view for which the domain-independent bond graph notation is used, which has been misinterpreted over and over, due to the paradigm shift that concept-oriented modeling in terms of ports requires. For that reason, the grammar and semantics of the graphical language of bond graphs are first defined without making any connection to the physical modeling concepts it is used for. In order to get a first impression of how bond graphs can represent models, an existing model is transformed into bond graphs as the transformation steps also give a good impression of how this notation provides immediate feedback on modeling decisions during actual modeling. Next, physical systems modeling in terms of bond graphs is discussed as well as the importance of the role of energy and power that is built into the semantics and grammar of bond graphs. It is emphasized that, just like circuit diagrams, bond graphs are a topological representation of the conceptual structure and should not be confused with spatial structure. By means of a discussion of some examples of such confusions it is explained why bond graphs have a slow acceptance rate in some scientific communities.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Beeren W., Roessink M. (eds) (1998) Sporen van wetenschap in kunst/Traces of Science in Art, 155pp., ISBN 90-6984-224-6.

    Google Scholar 

  2. Paynter H.M. (1961) Analysis and Design of Engineering Systems. MIT Press, Cambridge, MA.

    Google Scholar 

  3. Willems J.C. (2007) The behavioral approach to open and interconnected systems. IEEE Control Syst. Mag. Dec:46–99.

    Google Scholar 

  4. Bondy J.A., Murty U.S.R. (1976) Graph Theory with Applications. North-Holland, Oxford, ISBN 0-444-19451-7.

    Google Scholar 

  5. Breedveld P.C. (1982b) Proposition for an unambiguous vector bond graph notation. Trans. ASME, J. Dyn. Syst. Meas. Control 104(3):267–270.

    Article  Google Scholar 

  6. Breedveld P.C. (1986) A definition of the multibond graph language. In Complex and Distributed Systems: Analysis, Simulation and Control, Tzafestas S., Borne P. (eds) Vol. 4 of ‘IMACS Transactions on Scientific Computing’. North-Holland, Amsterdam, pp. 69–72.

    Google Scholar 

  7. Breedveld P.C. (1982a) Thermodynamic bond graphs and the problem of thermal inertance. J. Franklin Inst. 314(1):15–40.

    Article  MathSciNet  Google Scholar 

  8. Karnopp D.C., Rosenberg R.C. (1968) Analysis and simulation of multiport systems. MIT Press, Cambridge, MA.

    Google Scholar 

  9. Hogan N.J., Fasse, E.D. (1988) Conservation principles and bond graph junction structures. Proc. ASME 1988 WAM. DSC 8:9–14.

    Google Scholar 

  10. Paynter H.M., Busch-Vishniac I.J. (1988) Wave-scattering approaches to conservation and causality. J. Franklin Inst. 325(3):295–313.

    Article  MathSciNet  MATH  Google Scholar 

  11. Breedveld P.C. (1985) Multibond graph elements in physical systems theory. J. Franklin Inst. 319(1/2):1–36.

    Article  Google Scholar 

  12. Blundell A.J. (1982) Bond Graphs for Modelling Engineering Systems. Ellis Horwood, Chichester and Halsted Press, New York, NY, 151p.

    Google Scholar 

  13. Thoma J. (1975) Introduction to Bond Graphs and Their Applications. Pergamon Press, Oxford.

    Google Scholar 

  14. Breedveld P.C. (2009) Port-based modeling of dynamic systems. Chapter 1 and appendix A and B2. In Modeling and Control of Complex Physical Systems – The Port-Hamiltonian Approach, Stramigioli S., Macchelli A., Duindam V., Bruyninckx H. (eds). Springer, Berlin, pp. 1–52, 97–311, 323–328.

    Google Scholar 

  15. Breedveld P.C. (1984). Decomposition of multiport elements in a revised multibond graph notation. J. Franklin Inst. 318(4):253–273.

    Article  MATH  Google Scholar 

  16. Breedveld P.C. (1995) Exhaustive decompositions of linear two-ports. Proceedings of SCS 1995 International Conference on Bond Graph Modeling and Simulation (ICBGM’95), SCS Simulation Series 27(1):11–16, Jan 15–18, Las Vegas, Cellier F.E., Granda J.J. (eds). ISBN 1-56555-037-4.

    Google Scholar 

  17. Dijk J. van, Breedveld P.C. (1991a) Simulation of system models containing zero-order causal paths – part I: Classification of zero-order causal paths. J. Franklin Inst. 328(5/6):959–979.

    Article  MATH  Google Scholar 

  18. Breedveld P.C. (2007) Port-based modeling of engineering systems in terms of bond graphs. In Handbook of Dynamic System Modeling, Fishwick P.A. (ed). Chapman & Hall, London, pp. 26.1–26.29, ISBN 1-58488-565-3.

    Google Scholar 

  19. Dijk J. van, Breedveld P.C. (1991b) Simulation of system models containing zero-order causal paths – part II: Numerical implications of class-1 zero-order causal paths. J. Franklin Inst. 328(5/6):981–1004.

    Article  MATH  Google Scholar 

  20. Feynman R, Leighton R, Sands M. (1989) The Feynman Lectures on Physics. 3 volumes 1964, 1966, Addison-Wesley, Reading, Mass, ISBN 0-201-50064-7.

    Google Scholar 

  21. Zill D.G. (2005) A First Course in Differential Equations. 9th edition. Brooks/Cole, Belmont, CA, ISBN-13: 978-0-495-10824, Lib. of Congress number: 2008924906.

    Google Scholar 

  22. Wellstead P.E. (1979) Introduction to physical systems modeling. Academic, London. ISBN: 0-12-744380-0.

    Google Scholar 

  23. Timoshenko S. (1976) Strength of Materials: Elementary Theory and Problems. Vol. 1 of Strength of Materials, 3rd edition, R.E. Krieger, Huntington, NY (First ed. D. Van Nostrand Company, inc., 1940).

    Google Scholar 

  24. Allen R.R. (1981) Dynamics of mechanisms and machine systems in accelerating reference frames. Trans. ASME J. Dyn. Syst. Meas. Control 103(4):395–403.

    Article  Google Scholar 

  25. Callen H.B. (1960) Thermodynamics. Wiley, New York, NY.

    MATH  Google Scholar 

  26. Maschke B.M., van der Schaft A.J., Breedveld P.C. (1995) An intrinsic Hamiltonian formulation of the dynamics of LC-circuits. Trans. IEEE Circuits Syst. I Fundam. Theory Appl. 42(2):73–82.

    Article  MATH  Google Scholar 

  27. Karnopp D.C. (1978) The energetic structure of multibody dynamic systems. J. Franklin Inst. 306(2):165–181.

    Article  MathSciNet  MATH  Google Scholar 

  28. Chua L.O. (1971) Memristor-the missing circuit element. IEEE Trans. Circuit Theory CT-18(5):507–519.

    Article  Google Scholar 

  29. Strukov D.B., Snider G.S., Stewart D.R., Williams, R.S. (2008) The missing memristor found. Nature 453. doi:10.1038/nature06932.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Twente, EWI/EL/CE, 7500 AE, Enschede, The Netherlands

    P.C. Breedveld

Authors
  1. P.C. Breedveld
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P.C. Breedveld .

Editor information

Editors and Affiliations

  1. of Applied Sciences, Bonn-Rhein-Sieg University, Sankt Augustin, 53754, Germany

    Wolfgang Borutzky

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Breedveld, P. (2011). Concept-Oriented Modeling of Dynamic Behavior. In: Borutzky, W. (eds) Bond Graph Modelling of Engineering Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9368-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-9368-7_1

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-9367-0

  • Online ISBN: 978-1-4419-9368-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation