<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

“Gheorghe Asachi “Technical University of Iași

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Feb 23, 2022

Page range: 35 - 44

Received: Nov 27, 2021

Accepted: Dec 07, 2021

DOI: https://doi.org/10.2478/bipcm-2021-0021

Keywords
system dynamics, bond graph, derivative causality, kinetic energy

© 2021 Radu Ibănescu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Feb 23, 2022

Page range: 35 - 44

Received: Nov 27, 2021

Accepted: Dec 07, 2021

DOI: https://doi.org/10.2478/bipcm-2021-0021

Keywordssystem dynamics, bond graph, derivative causality, kinetic energy

© 2021 Radu Ibănescu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
system dynamics, bond graph, derivative causality, kinetic energy