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TECHNICAL PAPERS

Alternative Causality Assignment Procedures in Bond Graph for Mechanical Systems

[+] Author and Article Information
Wilfrid Marquis-Favre, Serge Scavarda

Laboratoire d’Automatique Industrielle, Institut National des Sciences Appliquées de Lyon, Ba⁁timent Antoine de Saint Exupéry, 25, avenue Jean Capelle, 69621 Villeurbanne Cedex, France

J. Dyn. Sys., Meas., Control 124(3), 457-463 (Jul 23, 2002) (7 pages) doi:10.1115/1.1481369 History: Received January 29, 2001; Online July 23, 2002
Copyright © 2002 by ASME
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References

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Karnopp,  D. C., 1977, “Lagrange’s Equations for Complex Bond Graph Systems,” ASME J. Dyn. Syst., Meas., Control, 99(4), pp. 300–306.
Joseph,  B. J., and Martens,  H. R., 1974, “The Method of Relaxed Causality in the Bond Graph Analysis of Nonlinear Systems,” ASME J. Dyn. Syst., Meas., Control, 96(1), pp. 95–99.
Van Dijk, J., 1994, “On the Role of Bond Graph Causality in Modelling Mechatronic Systems,” Ph. D. thesis Electrical Engineering, University of Twente, Enschede, the Netherlands.
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Bidard, C., 1992, “Displaying Kirchhoff’s Invariants in Simple Junction Structures,” Proc. 13th International Association for Mathematics and Computers in Simulation Multiconference (IMACS) World Congress on Computation and applied Mathematics, Bond Graphs for Engineers, July 22–26, 1991, Trinity College Dublin, Ireland, vol. 3, pp. 1064–1068.
Garcı́a de Jalón, and J., Bayo, I., 1994, Kinematic and Dynamic Simulation of Multibody Systems. The real time challenge, Springer-Verlag, New York.
Brown,  F. T., 1981, “Energy-Based Modeling and Quasi-Coordinates,” ASME J. Dyn. Syst., Meas., Control, 103(1), pp. 5–13.
Bos, A. M., 1986, “Modelling Multibody Systems in Terms of Multibond Graphs,” Ph. D. Thesis, Electrical engineering: University of Twente, Enschede, the Netherlands.
Ort,  J. R., and Martens,  H. R., 1973, “The Properties of Bond Graph Junction Structure Matrices,” ASME J. Dyn. Syst., Meas., Control, 95(4), pp. 362–367.
Perelson,  A. S., 1975, “Bond Graph Junction Structures,” ASME J. Dyn. Syst., Meas., Control, 97(2), pp. 189–195.
Karnopp,  D. C., 1969, “Power Conserving Transformations: Physical Interpretations and Applications Using Bond Graph,” J. Franklin Inst., 288(3), pp. 175–201.
Lur’é, L., 1968, Mécanique Analytique: Tome 1, Masson, Paris.
Karnopp,  D. C., 1983, “Alternative Bond Graph Causal Patterns and Equation Formulations for Dynamic Systems,” ASME J. Dyn. Syst., Meas., Control, 105, pp. 58–63.
Favre, W., 1997, “Contribution à la Représentation Bond Graph des Systèmes Mécaniques Multicortps,” Ph. D. thesis, Institut National des Sciences Appliquées de Lyon, France.
Favre,  W., and Scavarda,  S., 1998, “A Representation for Planar Point Contact Joints in the Multibody Mechanical Bond Graph Library,” Journal of Systems and Control Engineering, 212, pp. 305–313.
Favre, W., and Scavarda, S., 1998, “Introduction of Baumgarte Stabilization Schemas in the Multibond Graph Representation,” Proc. CESA’98 IMACS Multiconference, Computational Engineering in Systems Applications, Hammamet, Tunisia, April 1–4, pp. 278–282.
Zeid,  A., and Overholt,  J. L., 1995, “Singularly Perturbed Bond Graph Models for Simulation of Multibody Systems,” ASME J. Dyn. Syst., Meas., Control, 117(3), pp. 401–410.
Breedveld, P. C., and Hogan, N., 1994, “Multibond Graph Representation of Lagrangian Mechanics: the Elimination of the Euler Junction Structure,” Proc. MathMod’94, International Association for Mathematics and Computers in Simulation (IMACS) Symposium on Mathematical Modelling, Vienna, Austria, 1 , pp. 24–28.

Figures

Grahic Jump Location
Crank-slider mechanism and its bond graph representation
Grahic Jump Location
Pendulum and its bond graph representation

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