Automated Reconstruction Of Bond Graph Models Based On Frequential Specifications

The dynamic responses of geared torsional systems are analyzed with the delay-bond graph technique. By transforming the power variables into torsional wave variables, the torsional elements are modeled as transmission line elements. The nonlinear elements, e.g., varying tooth stiffness, gear-tooth backlash, and nonlinear damping, are incorporated into the ideal transmission line element. A computational algorithm is established where the state variables of the system are expressed in terms of wave scattering variables and the dynamic responses are then obtained in both time and space domains. The simulation results of several simple examples of linear and nonlinear geared torsional systems are presented to demonstrate the feasibility of this algorithm.

Download Full-text

Bond graph models of structured parameter uncertainties

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2005.01.005 ◽

2005 ◽

Vol 342 (4) ◽

pp. 379-399 ◽

Cited By ~ 34

Author(s):

Casimir Sié Kam ◽

Geneviéve Dauphin-Tanguy

Keyword(s):

Bond Graph ◽

Parameter Uncertainties ◽

Graph Models

Download Full-text

Nonregular Static State Feedback for Linear Bond Graph Models

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)38968-1 ◽

2001 ◽

Vol 34 (13) ◽

pp. 71-76

Author(s):

C. Sueur ◽

A. Karim ◽

G. Dauphin-Tanguy

Keyword(s):

State Feedback ◽

Bond Graph ◽

Graph Models ◽

Static State ◽

Static State Feedback

Download Full-text

Approximation of Linearized Systems to a Class of Nonlinear Systems Based on Dynamic Linearization

Symmetry ◽

10.3390/sym13050854 ◽

2021 ◽

Vol 13 (5) ◽

pp. 854

Author(s):

Raquel S. Rodríguez ◽

Gilberto Gonzalez Avalos ◽

Noe Barrera Gallegos ◽

Gerardo Ayala-Jaimes ◽

Aaron Padilla Garcia

Keyword(s):

Nonlinear System ◽

Nonlinear Systems ◽

Nonlinear Dynamic ◽

Bond Graph ◽

Physical Domain ◽

Graph Models ◽

Simple Task ◽

Analysis And Synthesis ◽

Simulation Results

An alternative method to analyze a class of nonlinear systems in a bond graph approach is proposed. It is well known that the analysis and synthesis of nonlinear systems is not a simple task. Hence, a first step can be to linearize this nonlinear system on an operation point. A methodology to obtain linearization for consecutive points along a trajectory in the physical domain is proposed. This type of linearization determines a group of linearized systems, which is an approximation close enough to original nonlinear dynamic and in this paper is called dynamic linearization. Dynamic linearization through a lemma and a procedure is established. Therefore, linearized bond graph models can be considered symmetric with respect to nonlinear system models. The proposed methodology is applied to a DC motor as a case study. In order to show the effectiveness of the dynamic linearization, simulation results are shown.

Download Full-text

Analysing and simulating energy-based models in biology using BondGraphTools

10.1101/2021.03.24.436763 ◽

2021 ◽

Author(s):

Peter Cudmore ◽

Michael Pan ◽

Peter J. Gawthrop ◽

Edmund J. Crampin

Keyword(s):

Systems Biology ◽

Mathematical Models ◽

Bond Graph ◽

Experimental Measurements ◽

Bond Graphs ◽

Graph Models ◽

Conservation Of Energy ◽

Conservation Of Mass ◽

Physical Systems ◽

Complex Interactions

AbstractLike all physical systems, biological systems are constrained by the laws of physics. However, mathematical models of biochemistry frequently neglect the conservation of energy, leading to unrealistic behaviour. Energy-based models that are consistent with conservation of mass, charge and energy have the potential to aid the understanding of complex interactions between biological components, and are becoming easier to develop with recent advances in experimental measurements and databases. In this paper, we motivate the use of bond graphs (a modelling tool from engineering) for energy-based modelling and introduce, BondGraphTools, a Python library for constructing and analysing bond graph models. We use examples from biochemistry to illustrate how BondGraphTools can be used to automate model construction in systems biology while maintaining consistency with the laws of physics.

Download Full-text

Bond Graph Modeling and Analysis of HEV System Based on Ravigneaux Planetary Mechanism

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.724-725.1402 ◽

2013 ◽

Vol 724-725 ◽

pp. 1402-1408

Author(s):

Li He Xi ◽

Hong Wei Chen ◽

Xin Zhang

Keyword(s):

Bond Graph ◽

Structural Form ◽

Graph Models ◽

Modeling And Analysis ◽

Electric System ◽

Operating Modes ◽

Graph Modeling ◽

Time Requirements ◽

Bond Graph Modeling ◽

Planetary Mechanism

The bond graph method is used to analyse and model dynamics of hybrid electric system based on Ravigneaux Planetary Mechanism. Bond graph models are built in different structural form, general equations of torque and speed are derived, and operating modes achieved in different structural form are in consideration. At the same time, requirements of control system in different operating modes are illustrated and analysed, which help lay the foundations for modeling and simulation of HEV system based on Ravigneaux Planetary Mechanism.

Download Full-text

On Gyrobondgraphs and Their Uses

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.3426343 ◽

1978 ◽

Vol 100 (1) ◽

pp. 76-82 ◽

Cited By ~ 8

Author(s):

R. C. Rosenberg

Keyword(s):

Bond Graph ◽

Energy Structure ◽

Engineering Systems ◽

Graph Models ◽

Point Of Interest ◽

Lumped Parameter ◽

Lumped Parameter Models ◽

Five Elements ◽

System Equations ◽

Recent Arrival

Graphical representations of lumped-parameter models for physical and engineering systems have been in use for some time. A relatively recent arrival is the bond graph, which displays energy flow and energy structure explicitly. Bond graphs are finding increasing use in a variety of applications, including classical electromechanical, hydraulic, and thermal energy systems as well as chemical and biological processes. In addition, there has been some effort to extend the approach to energy-like macroeconomic systems. The standard bond graph approach uses the same basic elements commonly found in network theory, although the graphing scheme is different. This paper defines a specific type of bond graph—the gyrobondgraph—and shows how it serves as a canonical form for a large class of lumped-parameter multiport models. The gyrobondgraph is based on only five elements and a standard graph format. A transformation procedure is described for obtaining a gyrobondgraph from a standard bond graph. The formulation of system equations associated with a gyrobondgraph is discussed briefly, and, as a point of interest, Tellegen’s Theorem in quasi-power form is derived. The gyrobondgraph appears to be an important new tool for the exploration of multiport system theory; furthermore, it is a source of new techniques for the computer simulation of bond graph models.

Download Full-text