An Introduction to Bond Graph Modeling with Applications

Description

An Introduction to Bond Graph Modeling with Applications presents a collection of exercises on dynamical systems, modeling and control for university students in the areas of engineering, physics and applied mathematics. We can find several books on bond graphs, but most merely a small set of exercises and, in a few cases, some commands for computer packages like MATLAB or Mathematica. It is difficult to find books with a broad set of solved exercises and proposed exercises with solutions, guiding researchers starting their work with bond graphs, or students who are just beginning their study of the topic. This book aims to fill that gap, and provide a comprehensive, reader-friendly introduction to the Bond Graph modeling tool. Features Gives in-depth theoretical background coupled with practical, hands-on instructions. Provides a clear pedagogical framework, with numerous exercises and problems. Suitable for students and researchers who work with bond graphs: principally such as applied mathematicians, physicist and engineers. Cover Half Title Title Page Copyright Page Contents Preface Chapter 1: Mathematical Models of Dynamical Systems 1.1. INTRODUCTION 1.2. MODELING OF ELECTRICAL SYSTEMS 1.3. MODELING OF MECHANICAL SYSTEMS 1.3.1. Translation Motion 1.3.2. Rotational Motion 1.4. TRANSMISSION SYSTEMS 1.4.1. Conversion between Rotational Motions 1.4.2. Conversion from Rotational to Translational Motion 1.4.3. Translational to Translational Motion Transformation 1.4.4. Permanent Magnet DC Motors 1.5. MODELING OF HYDRAULIC SYSTEMS 1.6. MODELING OF THERMAL SYSTEMS Chapter 2: Bond Graph Modeling 2.1. INTRODUCTION 2.2. BASIC CONCEPTS 2.3. BOND GRAPH ELEMENTS 2.3.1. One-Port Elements: Energy Sources 2.3.2. One-Port Elements: Energy Stores 2.3.3. One-Port Elements: Dissipators 2.3.4. Two-Port Elements 2.3.5. Junctions 2.3.6. Modulated Elements 2.4. EXAMPLES OF APPLICATION OF BOND GRAPHS 2.4.1. Example 1: Electrical Circuit 2.4.2. Example 2: Translational Mechanical System 2.4.3. Example 3: Hydraulic System 2.4.4. Example 4: Thermal System 2.5. CAUSALITY 2.5.1. Causality: Energy Sources 2.5.2. Causality: Energy Stores (Integral Causality) 2.5.3. Causality: Dissipators 2.5.4. Causality: High-Order Elements 2.5.5. Causality: Junctions 2.5.6. Causality: Two-ports 2.6. ASSIGNING CAUSALITY TO A BOND GRAPH 2.6.1. Example of Causality Assignment: Electrical Circuits 2.6.2. Example of Causality Assignment: Translational Mechanical Systems 2.6.3. Example of Causality Assignment: Hydraulic System 2.6.4. Example of Causality Assignment: Thermal System Chapter 3: Electrical Systems 3.1. INTRODUCTION 3.2. SOLVED PROBLEMS 3.3. PROPOSED EXERCISES Chapter 4: Mechanical Systems 4.1. INTRODUCTION 4.2. SOLVED PROBLEMS 4.3. PROPOSED EXERCISES Chapter 5: Hydraulic Systems 5.1. INTRODUCTION 5.2. SOLVED PROBLEMS 5.3. PROPOSED EXERCISES Chapter 6: Thermal Systems 6.1. INTRODUCTION 6.2. SOLVED PROBLEMS 6.3. PROPOSED EXERCISES Chapter 7: Multi-domain Systems 7.1. INTRODUCTION 7.2. SOLVED PROBLEMS 7.3. PROPOSED EXERCISES Chapter 8: Bond Graph Modeling and Simulation Using 20-sim 8.1. INTRODUCTION 8.2. GUIDED EXERCISE Solutions Appendix A Appendix B References Index