Elementary mathematical concepts from linear algebra are used to develop an independent theory for non-directed bond graphs. The dejinition of a bond graph is given and its structure as a combinatorial object is studied. This is accomplished by constructing a vector space, called the bond space of the bond graph. Topological information is encoded in the bond graph by dejining a subspace of the...

P.J. Gawthrop Centre for Systems and Control, University of Glasgow. [email protected] Key Words| Bond graphs; causality; system inversion; parameter estimation Abstract|Conventional bond graph theory is predicated on the notion that a bond has a single causal stroke: an effort imposed at one end implies a ow imposedat the other. This notion is implied by components having a known consti...

In this article, we show that the algorithm proposed by Karnopp and Rosenberg for converting a circuit into a bond graph is not fully adapted to the bond graph formalism. This formalism implicitly deletes information which is useless for describing the circuits' functioning. But this information is not systematically deleted in the bond graphs obtained with their algorithm. We propose an algori...

Bond graphs have established themselves as a reliable tool for modeling physical systems. Yet, they are highly abstract due to their domain independence. Wrapping techniques allow the modeler to preserve the better of two worlds: the flexibility and reliability of bond graphs on the one hand, and the intuitive appeal and familiarity offered by a domain-specific modeling methodology on the other...

Bond graphs are suitable tools for modeling many types of dynamical systems and can model these systems consisting of mechanical, electrical, fluidic, and pneumatic sub-systems. The advantage of a bond graph is that it can model non-linear systems and combinational systems. In this paper, the authors utilize bond graphs for modeling mechatronics systems. Mechatronics systems consist of mechanic...

Abstract: The aim of this paper is to present a modelling of rowing dynamics using bond graphs and to replace it by a modelling of mixed reality rowing dynamics using Mixed Reality Bond Graphs. Continuous-time dynamics for real environments, discrete-time dynamics for virtual environments, and their HyperBond interfaces in a mixed reality rowing dynamics will be described together using the mix...

A sensitivity bond graph, of the same structure as the system bond graph, is shown to provide a simple and effective method of generating sensitivity functions of use in optimisation. The approach is illustrated in the context of partially-known system parameter and state estimation.

The computer code developed previously (K. Balasubramanian, J . Computational Chern., 5,387 (1984)) for the characteristic polynomials of ordinary (nonweighted) graphs is extended in this investigation to edge-weighted graphs, heterographs (vertex-weighted), graphs with loops, directed graphs, and signed graphs. This extension leads to a number of important applications of this code to several ...