The Dynamic Equations of a Mechanical System Using the Bond-Graph Method and the Kinetic Energy

Radu Ibănescu; Mihaela Ibănescu

doi:10.2478/bipcm-2022-0030

.blurhash-client-img { display: none !important; }

The Dynamic Equations of a Mechanical System Using the Bond-Graph Method and the Kinetic Energy

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

Volume 68 (2022): Issue 3 (September 2022)

By: Radu Ibănescu and Mihaela Ibănescu

Open Access

|Nov 2022

Abstract

Based on the bond-graph model of a system dynamics, the differential equations that represent the mathematical model can be determined. In case of a system with storing energy elements in derivative causality and with more degrees of freedom, the computational effort is an important one. The present work proposes an easier method for finding the differential equations, based on the derivative of kinetic energy.

References

Borutzky W., Bond Graph Methodology. Development and Analysis of Multi-disciplinary Dynamic System Models, Springer-Verlag, London, 2010.10.1007/978-1-84882-882-7
Search in Google Scholar Back to article
Ibănescu R., Bond Graphs in System Modeling in Graph Based Modelling in Engineering, Springer International Publishing Switzerland, 2017.10.1007/978-3-319-39020-8_1
Search in Google Scholar Back to article
Ibănescu R., Ibănescu M., A Method to Find the Differential Equations from the Bond Graph Containing Inertial Elements in Derivative Causality, Bul. Inst. Polit. Iași, 67 (71), 4, s. Machine Construction, doi: 10.2478/bipcm-2021-0021, 35-44, (2021).
Open DOI Search in Google Scholar Back to article
Ibănescu M., Ibănescu R., New approach in solving derivative causality problems in the bond-graph method, IOP Conf. Series: Materials Science and Engineering 1235, 012053, doi: 10.1088/1757-899X/1235/1/012053 (2022).
Open DOI Search in Google Scholar Back to article
Karnopp D., An approach to derivative causality in bond graph models of mechanical systems, Journal of the Franklin Institute, 329, 1, 65-75. (1992).10.1016/0016-0032(92)90096-Y
Search in Google Scholar Back to article
Karnopp D., Margolis D., Rosenberg R., System Dynamics: Modeling, Simulation and Control of Mechatronic Systems, New Jersey: John Willey & Sons Inc., 2012.10.1002/9781118152812
Search in Google Scholar Back to article
Paynter H.M., Analysis and Design of Engineering Systems, Cambridge Massachusetts: M.I.T. Press, 1961.
Search in Google Scholar Back to article
Păstrăvanu O., Ibănescu R., Bond-Graph Language in Modeling and Simulation of Physical-Technical Systems, “Gheorghe Asachi” Publishing House, Iași, Romania, 2001.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/bipcm-2022-0030 | Journal eISSN: 2537-4869 | Journal ISSN: 1011-2855

Journal RSS Feed

Language: English

Page range: 151 - 158

Submitted on: Sep 27, 2022

Accepted on: Sep 30, 2022

Published on: Nov 7, 2022

Published by: Gheorghe Asachi Technical University of Iasi

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

bond-graph,

dynamic system,

kinetic energy,

derivative causality,

motion equations

Related subjects:

Engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Thermodynamics,

Production technology,

Mechatronics and automotive

© 2022 Radu Ibănescu, Mihaela Ibănescu, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 68 (2022): Issue 3 (September 2022)