A Method to Find the Differential Equations from the Bond Graph Containing Inertial Elements in Derivative Causality-Reference-Cited by-同舟云学术

A Method to Find the Differential Equations from the Bond Graph Containing Inertial Elements in Derivative Causality

Published:2021-12-01 Issue:4 Volume:67 Page:35-44
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 The bond-graph method is used for finding the equations which describe the systems dynamics, by analysing the way of power transmission from the source to the working elements. When the energy storage elements I and C are in integral causality, the number of state equations equals the number of these elements. If there are also energy storage elements in derivative causality, the system contains a number of differential equations equal to the number of energy storage elements in integral causality and a number of algebraic equations equal to the number of energy storage elements in derivative causality. The work presents a new method for finding the system of differential equations for mechanical systems with one degree of freedom, starting from the original system which contains both algebraic and differential equations.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/bipcm-2021-0021

Reference8 articles.

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2. Ibănescu R., Ungureanu C., Lagrange’s Equations versus Bond Graph Modeling Methodology by an Example of a Mechanical System, Applied Mechanics and Materials, Trans Tech Publications, Switzerland, 809-810, 914-919 (2015).10.4028/www.scientific.net/AMM.809-810.914

3. 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

4. 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

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1. 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;2022-09-01