Physical Modeling With Eulerian Frames and Bond Graphs

1988 ◽  
Vol 110 (2) ◽  
pp. 182-188 ◽  
Author(s):  
J. J. Beaman ◽  
P. C. Breedveld
Keyword(s):  
Physical Modeling ◽  
Ad Hoc ◽  
Open Systems ◽  
Bond Graph ◽  
Bond Graphs ◽  
Graph Topology

In this paper it is shown that open systems, in which matter can enter and leave, are not incompatible with bond graph topology, as commonly reported. Effective modeling of these systems requires that attention be paid to the convective coupling between systems and environment which exchange matter. The convection models proposed in this work do not require the use of active bonds (other than modulation signals), controlled sources, ad hoc elements, or any other special bond graph artifacts.

Open Systems Formulation and Gaining Insight Using Lagrangian Bond Graphs

2000 ◽  
Author(s):  
Robin C. Redfield
Keyword(s):  
System Dynamics ◽  
Open Systems ◽  
Classical Method ◽  
System Modeling ◽  
Bond Graph ◽  
Small Scale ◽  
Bond Graphs ◽  
Model Modification ◽  
System Equations ◽  
Insight Into

Abstract Models of a small-scale water rocket are developed as an example of open system modeling by both the bond graph approach and a more classical method. One goal of the development is to determine the benefits of the bond graph approach into affording insight into the system dynamics. Both modeling approaches yield equivalent differential equations as they should, while the bond graph approach yields significantly more insight into the system dynamics. If a modeling goal is to simply find the system equations and predict behavior, the classical approach may be more expeditious. If insight and ease of model modification are desired, the bond graph technique is probably the better choice. But then you have to learn it!

Bond-Graph Based Simulation of Thermodynamic Models

2010 ◽  
Vol 132 (6) ◽  
Author(s):  
Forbes T. Brown
Keyword(s):  
Thermodynamic Properties ◽  
Hybrid Systems ◽  
Ad Hoc ◽  
Bond Graph ◽  
The Internet ◽  
Bond Graphs ◽  
Flowing Fluid ◽  
Heat Engines ◽  
Pure Substances ◽  
Compatible Extension

Conventional bond graphs are incompetent to handle thermodynamic systems with flowing fluid and phase change, such as heat engines and refrigeration cycles. Sophisticated bond-graph software for purposes of simulation is widely available for the systems addressable by conventional bond graphs, but heretofore there was no bond-graph software that could simulate the thermodynamic systems of concern. The author has previously published descriptions of a compatible extension to conventional bond graphs, which accommodates these systems through the use of what are known as convection bonds. Simulation of these models required ad hoc writing of the differential equations, however, a difficult task. The present brief announces the availability of software, based on a combination of convection and conventional bond graphs, which considerably expedites the simulation of thermodynamic and hybrid systems. The software is written in MATLAB® and is freely downloadable from the internet. It allows modeling and simulation to be carried out with a minimum knowledge of thermodynamics. Data characterizing the thermodynamic properties of 35 different pure substances and wet air are accessed as needed.

Pseudo Bond Graphs for Thermal Energy Transport

1978 ◽  
Vol 100 (3) ◽  
pp. 165-169 ◽  
Author(s):  
Dean Karnopp
Keyword(s):  
Thermal Energy ◽  
Energy Transport ◽  
Open Systems ◽  
Bond Graph ◽  
Bond Graphs ◽  
Flowing Fluid ◽  
Practical Applications ◽  
Heating And Cooling ◽  
Thermal Energy Transport ◽  
Normal Bond

Bond graphs have been shown to be useful in the modeling of a wide variety of physical dynamic systems, but open systems in which energy is transported across boundaries with mass flow have never been modeled as elegantly as fixed mass systems and their analogs. In this paper a bond graph, building block approach is outlined which allows most of the conceptual and practical advantages of normal bond graph techniques to be retained for systems in which thermal energy transported by a flowing fluid is important. Practical applications include the dynamic modeling of heating and cooling systems involving air and water. The method allows the imposition of a constant causal scheme independent upon the direction of fluid flow. The result is a pseudo bond graph since the use of temperature and heat flow as effort and flow means that the product of effort and flow is not power as in normal bond graphs.

Support for Efficient Modeling of Multidisciplinary Systems

1999 ◽  
Author(s):  
Heřman Mann
Keyword(s):  
Physical Modeling ◽  
Bond Graph ◽  
Bond Graphs ◽  
Multidisciplinary Systems ◽  
Set Up ◽  
Linear Graphs ◽  
The Relationship ◽  
Efficient Modeling

Abstract The paper advocates for the multipole approach to physical modeling. Thanks to isomorphism between the configuration of real systems and their multipole models, these models can be easily set up based on mere inspection of the systems. The relationship between multipole and bond-graph approaches is explained in the paper using linear graphs. It is shown that it is the oversimplified representation of multiports what makes the bond graphs so cumbersome and ambiguous.

Bond Graph Sign Conventions

1975 ◽  
Vol 97 (2) ◽  
pp. 184-188 ◽  
Author(s):  
A. S. Perelson
Keyword(s):  
Graph Model ◽  
Bond Graph ◽  
Equivalence Classes ◽  
Parameter System ◽  
Bond Graphs ◽  
Lumped Parameter ◽  
Oriented Object

The lack of arbitrariness in the choice of bond graph sign conventions is established. It is shown that an unoriented bond graph may have no unique meaning and that with certain choices of orientation a bond graph may not correspond to any lumped parameter system constructed from the same set of elements. Network interpretations of these two facts are given. Defining a bond graph as an oriented object leads to the consideration of equivalence classes of oriented bond graphs which represent the same system. It is also shown that only changes in the orientation of bonds connecting 0-junctions and 1-junctions can lead to changes in the observable properties of a bond graph model.

scholarly journals Analysing and simulating energy-based models in biology using BondGraphTools

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.

scholarly journals Meeting the multiscale challenge: representing physiology processes over ApiNATOMY circuits using bond graphs

2017 ◽  
Vol 8 (1) ◽  
pp. 20170026 ◽  
Author(s):  
B. de Bono ◽  
S. Safaei ◽  
P. Grenon ◽  
P. Hunter
Keyword(s):  
Bond Graph ◽  
Bond Graphs ◽  
Acid Base ◽  
Distinct Process ◽  
Biophysical Processes ◽  
Biological Structures

We introduce, and provide examples of, the application of the bond graph formalism to explicitly represent biophysical processes between and within modular biological compartments in ApiNATOMY. In particular, we focus on modelling scenarios from acid–base physiology to link distinct process modalities as bond graphs over an ApiNATOMY circuit of multiscale compartments. The embedding of bond graphs onto ApiNATOMY compartments provides a semantically and mathematically explicit basis for the coherent representation, integration and visualisation of multiscale physiology processes together with the compartmental topology of those biological structures that convey these processes.

Towards Dynamic Tolerance Analysis Using Bond Graphs

1998 ◽  
Author(s):  
Otto W. Salomons ◽  
Johan Zijlstra ◽  
Johnny A. van der Zwaag ◽  
Fred J. A. M. van Houten
Keyword(s):  
Dynamic Behavior ◽  
Robust Design ◽  
Physical Modeling ◽  
Geometric Modeling ◽  
Tolerance Analysis ◽  
Simulation System ◽  
Computer Support ◽  
Bond Graphs ◽  
Physical Effects ◽  
Geometric Modeling System

Abstract A generic method is proposed by which the effect of tolerances in combination with physical effects such as wear can be analysed on the dynamic behavior of mechanisms. The method uses bond graphs in order to simulate the dynamic behavior under the influence of tolerances and other physical effects. The method has the potential to offer enhanced computer support in tolerance value specification as well as in robust design and model based maintenance. The method has partly been implemented using a combination of a geometric modeling system (FROOM) and a bond graph based physical modeling and simulation system (20-Sim).

Some Key Issues in Using Bond Graphs and Genetic Programming for Mechatronic System Design

2001 ◽  
Author(s):  
R. C. Rosenberg ◽  
E. D. Goodman ◽  
Kisung Seo
Keyword(s):  
Genetic Programming ◽  
System Design ◽  
Design Space ◽  
Bond Graph ◽  
Mechatronic System ◽  
Bond Graphs ◽  
Mechatronic Systems ◽  
Energy Behavior ◽  
Key Issues ◽  
Bond Graph Modeling

Abstract Mechatronic system design differs from design of single-domain systems, such as electronic circuits, mechanisms, and fluid power systems, in part because of the need to integrate the several distinct domain characteristics in predicting system behavior. The goal of our work is to develop an automated procedure that can explore mechatronic design space in a topologically open-ended manner, yet still find appropriate configurations efficiently enough to be useful. Our approach combines bond graphs for model representation with genetic programming for generating suitable design candidates as a means of exploring the design space. Bond graphs allow us to capture the common energy behavior underlying the several physical domains of mechatronic systems in a uniform notation. Genetic programming is an effective way to generate design candidates in an open-ended, but statistically structured, manner. Our initial goal is to identify the key issues in merging the bond graph modeling tool with genetic programming for searching. The first design problem we chose is that of finding a model that has a specified set of eigenvalues. The problem can be studied using a restricted set of bond graph elements to represent suitable topologies. We present the initial results of our studies and identify key issues in advancing the approach toward becoming an effective and efficient open-ended design tool for mechatronic systems.

Demonstrating the Generation of Bond Graphs From 3D Assemblies

2020 ◽  
Author(s):  
Corey J. Alicchio ◽  
Justin S. Vitiello ◽  
Pradeep Radhakrishnan
Keyword(s):  
Bond Graph ◽  
Dynamic Responses ◽  
Bond Graphs ◽  
Mechatronic Systems ◽  
3D Cad ◽  
Related Information ◽  
Grammar Rules ◽  
Gear Trains ◽  
System Graph ◽  
Future Work

Abstract The bond graph method provides a generic and simple way to compute differential equations and dynamic responses for complex mechatronic systems. This paper will illustrate the process of automatically generating bond graphs from 3D CAD assemblies of gear-trains. Using appropriate CAD application programming interfaces (APIs), information on parts and mates within an existing assembly is extracted. The extracted information is stored as an identity graph, which also stores all geometry and mass related information of every part. Grammar rules are then used to transform the identity graph to a system graph, which is then converted to bond graph using an existing bond graph generation program. The paper will discuss the process, challenges and planned future work.

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