WSEAS Transactions on Circuits and Systems


Print ISSN: 1109-2734
E-ISSN: 2224-266X

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 18, 2019


Steady State Response of Systems Modelled by Multibond Graphs

AUTHORS: Gilberto Gonzalez-A., Noe Barrera, Gerardo Ayala, Erasmo Cadenas

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ABSTRACT: Multibond graph models has been introduced for the modelling of multibody systems for Breedveld and Tiernego [2, 5]. However, these publised papers do not give general methodologies to obtain the mathematical models. Hence, a junction structure of multibond graph models is proposed. In addition, the steady state response of systems modelled by multibond graphs in a derivative causality assignment is obtained. An example applying the propose methodology is solved.

KEYWORDS: Bond graph, Multibond graph, Multibody systems.

REFERENCES:

[ 1] X-S Ge, W-J Zhao, L-Q Chen and Y.- Z Liu, Symbolic Linearization of Differential/Albegraic Equations Based on Cartesian Coordinates,, Techische Mechanik, Band 25, Heft 3-4, (2005), 230-240.

[2] M. J. L. Tiernego and A. M. Bos, Modelling the Dynamics and Kinematics of Mechanical Systems with Multibond Graphs, Journal of the Franklin Institute, Vol. 319, No. 1/2, pp. 37-50, January/Febraury, 1985.

[3] R. R. Allen, Multiport Representation of Inertia Properties of Kinematic Mechanisms, J. of the Franklin Inst., Vol. 308, No.3 pp. 235-253, 1979.

[4] M. J. L. Tiernego and J. J. Van Dixhoorn, ThreeAxis Platform Simulation: Bond Graph and Lagrangian Approach, J. of the Franklin Inst., Vol. 308, No.3, pp. 185-204, 1979.

[5] P. C. Breedveld, Multibond Graph Elements in Physical Systems Theory, J. of the Franklin Inst., Vol. 319, No. 1/2, pp. 1-36, 1985.

[6] P. C. Breedveld, Stability of rigid body rotation from a bond graph perspective, Simulation Practice and Theory, 17 (2009) 92-106.

[7] P. C. Breedveld, Decomposition of Multiport Elements in a Revised Multibond Graph Notation, J. of the Franklin Inst., Vol. 318, No. 4, pp.253- 273, 1984.

[8] Dean C. Karnopp, Donald L. Margolis and Ronald C. Rosenberg, System Dynamics Modeling and Simulation of Mechatronic Systems, Wiley, John & Sons, 2000.

[9] C. Sueur and G. Dauphin-Tanguy, “Bond graph approach for structural analysis of MIMO linear systems”, Journal of the Franklin Institute, Vol. 328, No. 1, pp. 55-70, 1991.

[10] P. Breeveld, A bond graph algorithm to determine the equilibrium state of a system, Journal of the Franklin Institute, 1984, 318, 71-75.

[11] E. Bideaux, W. Marquis-Favre and S. Scavarda, Equilibrium set investigation using bicausality, Math. Comput. Model Dynam. Syst., 12(2), 127- 140.

[12] G. Gonzalez and R. Galindo, Steady state determination using bond graphs for systems with singular state matrix, Proc. InstMech Engineers, Part I: Journal of Systems and Control Engineering, 2011, 225:885.

WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 18, 2019, Art. #20, pp. 128-134


Copyright © 2019 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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