The Dynamic Equations of a Mechanical System Using the Bond-Graph Method and the Kinetic Energy-Reference-Cited by-同舟云学术

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

Published:2022-09-01 Issue:3 Volume:68 Page:151-158
ISSN:2537-4869
Container-title:Bulletin of the Polytechnic Institute of Iași. Machine constructions Section
language:en
Short-container-title:

Author:

Ibănescu Radu¹,Ibănescu Mihaela²

Affiliation:

1. “Gheorghe Asachi” Technical University of Iași , Faculty of Machine Manufacturing and Industrial Management

2. “Gheorghe Asachi” Technical University of Iași , Faculty of Civil Engineering and Building Services

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/bipcm-2022-0030

Reference8 articles.

1. 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

2. 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

3. 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).

4. 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).

5. 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