Application of Bond Graph Techniques to the Study of Vehicle Drive Line Dynamics

1970 ◽  
Vol 92 (2) ◽  
pp. 355-362 ◽  
Author(s):  
D. Karnopp ◽  
R. C. Rosenberg
Keyword(s):  
State Space ◽  
Dynamic Systems ◽  
Digital Simulation ◽  
Bond Graph ◽  
Bond Graphs ◽  
Efficient System ◽  
Analog Simulation ◽  
System Description ◽  
System Components

General bond graph methods for the description, analysis, and simulation of dynamic systems are illustrated through the study of vehicle drive line dynamics. Emphasis is placed upon the problem of assembling a compatible and efficient system description from multiport models of the system components. Examples show how state space descriptions for analysis and block diagrams for analog simulation may be obtained systematically from bond graphs. Digital simulation is conveniently accomplished using the ENPORT programs, which accept bond graphs directly.

Multiport Models in Mechanics

1972 ◽  
Vol 94 (3) ◽  
pp. 206-212 ◽  
Author(s):  
R. C. Rosenberg
Keyword(s):  
State Space ◽  
Large Scale ◽  
Force Fields ◽  
Digital Simulation ◽  
Bond Graph ◽  
Rigid Bodies ◽  
System Structure ◽  
Graph Models ◽  
Geometric Variables ◽  
Scale Motion

Problems in mechanics involving rigid bodies in large-scale motion in force fields of both conservative and nonconservative types are approached from a multiport viewpoint. A procedure for constructing bond graph models based on key geometric variables and the velocity transformations relating them is described. Contributions of such models to improving the representation and communication of system structure, the formulation of governing state-space equations, and the direct digital simulation of complicated mechanics problems are suggested.

An Automated Graph Grammar Based Tool to Automatically Generate System Bond Graphs for Dynamic Analysis

2016 ◽  
Author(s):  
Daniel Grande ◽  
Felice Mancini ◽  
Pradeep Radhakrishnan
Keyword(s):  
Dynamic Analysis ◽  
Bond Graph ◽  
Graph Grammar ◽  
Search Process ◽  
Bond Graphs ◽  
System Components ◽  
Grammar Rules ◽  
Algorithmic Search ◽  
Representation Scheme ◽  
Automated Tool

This paper presents a graph grammar based automated tool that can generate bond graphs of various systems for dynamic analysis. A generic graph grammar based representation scheme has been developed for different system components and bond graph elements. Using that representation, grammar rules have been developed that enable interpreting a given system and generating bond graph through an algorithmic search process. Besides, the paper also demonstrates the utility of the proposed tool in classrooms to enhance value in bond graph based system dynamics education. The underlying technique, various examples and benefits of this automated tool will be highlighted.

Mechanisms as Components of Dynamic Systems: A Bond Graph Approach

1977 ◽  
Vol 99 (1) ◽  
pp. 104-111 ◽  
Author(s):  
R. R. Allen ◽  
S. Dubowsky
Keyword(s):  
Dynamic Systems ◽  
Bond Graph ◽  
General Mechanism ◽  
Kinematics And Dynamics ◽  
Bond Graphs ◽  
Complex Dynamic ◽  
Automatic Computation ◽  
Mechanism Model ◽  
Complex Dynamic Systems ◽  
System Variables

In recent years, bond graphs have been used to analyze complex dynamic systems. In this paper a bond graph study is made of the kinematics and dynamics of a general mechanism treated as a component of a dynamic system. The method is applicable to multiple-loop, multiple degree-of-freedom mechanisms for which the displacement and velocity loop equations are known. A bond graph multiport representing the kinematic relations forms a power-conserving core to which dissipative, inertial, and compliance effects may be added to form a dynamic mechanism model. A constitutive relation suitable for automatic computation is derived in terms of system variables. A numerical example is presented illustrating an application of the technique.

The Application of Bond Graph Theory on Automobiles Modeling

2011 ◽  
Vol 120 ◽  
pp. 339-342
Author(s):  
Chuan Yin Tang ◽  
Xin Yu Hou ◽  
Hua Yin ◽  
Ying Zhang
Keyword(s):  
Graph Theory ◽  
Differential Equations ◽  
Degrees Of Freedom ◽  
Digital Simulation ◽  
Bond Graph ◽  
State Equation ◽  
Vehicle Suspension ◽  
Bond Graphs ◽  
Suspension Model ◽  
Bond Graph Theory

Based on the bond graph theory, the acquisition of state equation of vehicle suspension is presented. Set an example to a five degrees of freedom vehicle suspension model ,the simulated results are obtained with the aid of Matlab/Simulink software. Bond graphs are equation based , and are superior to traditional differential equations, they can provide the dynamic digital simulation in time and frequency domain, they can present the static simulation and omit the transition and class-decreasing process which is needed for traditional differential equations.

Steady state determination using bond graphs for systems with singular state matrix

2011 ◽  
Vol 225 (7) ◽  
pp. 887-901 ◽  
Author(s):  
G González A ◽  
R Galindo
Keyword(s):  
Steady State ◽  
State Space ◽  
Linear Time ◽  
Bond Graph ◽  
State Variables ◽  
Bond Graphs ◽  
State Matrix ◽  
Independent State ◽  
Linear Time Invariant ◽  
Time Invariant

A bond graph procedure to get the steady state value for linear time-invariant systems is presented. The general case of a singular state matrix is considered. The procedure is based on a junction structure configuration with derivative causality assignment, and on relationships of the bond graphs with integral and derivative causality assignments. It is shown that the structurally null modes, i.e. the poles at the origin, are cancelled for steady state. The key to cancel the poles at the origin is that the adjugate matrix of sIn −  Ap multiplies Bp yielding the zeros at the origin with the same order that the structurally null modes, where ( Ap, Bp, Cp, Dp) is a state space realization of a linear time-invariant system, s is the Laplace operator and In, is an n ×  n identity matrix. Hence, this unstable part of the system is cancelled and the steady state can be obtained. Thus, the singularity of the state space matrix is avoided, and the steady state is obtained from the bond graph with derivative causality assignment. Since the singular state matrix is considered, it is shown that by using the bond graph with derivative causality assignment, an equivalent system with linearly independent state variables can be obtained. An example of an electrical system with an electrical transformer modelled by an I-field whose state matrix is singular is presented. Also, the proposed methodology for a load driven by two DC motors is applied.

Building Elements of Bond Graphs

2015 ◽  
Vol 816 ◽  
pp. 339-348
Author(s):  
Darina Hroncová ◽  
Alexander Gmiterko ◽  
Peter Frankovský ◽  
Eva Dzurišová
Keyword(s):  
Dynamic Systems ◽  
Bond Graph ◽  
Bond Graphs ◽  
Electric System ◽  
Building Elements

The aim of the thesis is to describe of building elements Bond Graph methodology for modeling dynamic systems. Technique of Bond Graph methodology for modeling dynamic systems is demonstrated and its place in the process of modeling of mechanic and electric system and its behavior is discussed. The building elements of bond graphs as source effort and flow, capacitor, resistor, inductor, gyrator and transformer are described.

Computer representation of continuous vibratory systems using normal modes and bond graph techniques

SIMULATION ◽  
1968 ◽  
Vol 10 (3) ◽  
pp. 129-135 ◽  
Author(s):  
D.C. Karnopp
Keyword(s):  
Boundary Conditions ◽  
Infinite Series ◽  
Normal Mode Analysis ◽  
Digital Simulation ◽  
Normal Modes ◽  
Bond Graph ◽  
Mode Analysis ◽  
Bond Graphs ◽  
Order Model ◽  
Computer Representation

The general features of normal-mode analysis are dis cussed using both equations and bond-graph representa tions. The problem of truncating the infinite series of normal modes in order to produce a finite-order model for analog or digital simulation purposes is discussed, and the notion of appending a residual compliance and a residual inertance to account for neglected modes is ex plained. Using the bond graphs, a number of questions concerning the choice of boundary conditions and the computing causality of the system forcing are studied.

Dynamic Response of Surface-Moored Vertical Barrier to Wave Action by Analog and Digital Simulation

1974 ◽  
Vol 96 (1) ◽  
pp. 335-342
Author(s):  
J. R. Fowler ◽  
E. I. Bailey
Keyword(s):  
Theoretical Model ◽  
Digital Simulation ◽  
Nonlinear Problems ◽  
Analog Computer ◽  
Two Dimensional ◽  
Test Program ◽  
Analog Simulation ◽  
Vertical Barrier ◽  
Amplitude Data ◽  
Lab Test

The two-dimensional dynamics of an oil containment barrier, which was designed to have very low tensile loads due to current and waves, were simulated with a theoretical model. The model was solved on both analog and digital computers, and a lab test program conducted to verify the model. For nonlinear problems such as this, for which “exact” solutions do not exist, the analog computer has many advantages, principally rapid parameter studies and convenient plotting output, plus giving the engineer a real time “feel” for the problem. The problem treated here was especially well-suited to analog simulation. Charts and graphs present maximum force and amplitude data, and experimental verification of the solution was obtained from wave tank studies.

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.

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