Different Dynamic Formulations for a Mechanism using Bond Graph

  • Aman Kumar Maini Dr. B. R. Ambedkar National Institute of Technology
  • Anand Vaz Dr. B. R. Ambedkar National Institute of Technology

Abstract

For modeling dynamics of mechanisms, various classical formulations are available in literature. The equations of dynamics given by the various classical formulations can also be derived from bond graph. Bond graph is a convenient graphical representation for modeling dynamics of physical systems in multiple energy domains.


In this paper, various alternative causality assignment procedures in bond graph are used to derive different classical formulations such as Lagrange of the first kind (with multipliers), Lagrange formulation of the second kind and Hamiltonian formulations. An example of a mechanism has been modeled using bond graph technique and various alternative causality assignment procedures are applied to derive the various formulations. Simulation coding has been done using MATLAB and plots of various properties have been drawn, analyzed and discussed. The purpose of this paper is to show, how the various formulations can be obtained from bond graph using various alternative causality assignment procedures.

Keywords

Bondgraph; classical formulations; modeling; system dynamics,
Published
Sep 18, 2020
How to Cite
MAINI, Aman Kumar; VAZ, Anand. Different Dynamic Formulations for a Mechanism using Bond Graph. Computer Assisted Methods in Engineering and Science, [S.l.], sep. 2020. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/298>. Date accessed: 29 oct. 2020.
Section
Articles