Introduction to Physical Modeling with Modelica

1. Front Matter

   Pages i-xxii

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2. The Modelica Language

   1. Front Matter

      Pages 1-1

      PDF

   2. Introduction

      • Michael Tiller

      Pages 3-15

   3. Differential Equations

      • Michael Tiller

      Pages 17-37

   4. Building and Connecting Components

      • Michael Tiller

      Pages 39-67

   5. Enabling Reuse

      • Michael Tiller

      Pages 69-89

   6. Functions

      • Michael Tiller

      Pages 91-111

   7. Using Arrays

      • Michael Tiller

      Pages 113-154

   8. Hybrid Models

      • Michael Tiller

      Pages 155-188

   9. Exploring Nonlinear Behavior

      • Michael Tiller

      Pages 189-211

   10. Miscellaneous

       • Michael Tiller

       Pages 213-228

3. Effective Modelica

   1. Front Matter

      Pages 229-229

      PDF

   2. Multi-Domain Modeling

      • Michael Tiller

      Pages 231-253

   3. Block Diagrams vs. Acausal Modeling

      • Michael Tiller

      Pages 255-264

   4. Building Libraries

      • Michael Tiller

      Pages 265-278

   5. Initial Conditions

      • Michael Tiller

      Pages 279-286

   6. Efficiency

      • Michael Tiller

      Pages 287-294

4. Back Matter

   Pages 295-344

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3. 8 Problems . . . 66 4 ENABLING REUSE 69 4. 1 Concepts . . . . . . . . 69 4. 2 Exploiting commonality 70 4. 3 Reusable building blocks 71 4. 4 Allowing replaceable components 75 4. 5 Other replaceable entities 79 4. 6 Limiting flexibility . . . 82 4. 7 Other considerations . . 84 4. 8 Language fundamentals 85 4. 9 Problems . . . . . . . . 88 5 FUNCTIONS 91 5. 1 Concepts . . . . . . . . 91 5. 2 Introduction to functions 92 5. 3 An interpolation function 94 5. 4 Multiple return values 96 97 5. 5 Passing records as arguments 5. 6 Using extemal subroutines 100 5. 7 Language fundamentals 102 5. 8 Problems . . . . . . . . 110 6 USING ARRAYS 113 6. 1 Concepts . . . . . . . . . . . . . . . . . . 113 6. 2 Planetary motion: Arrays of components . . 113 6. 3 Simple ID heat transfer: Arrays of variables 120 6. 4 Using arrays with chemical systems 132 6. 5 Language fundamentals 143 6. 6 Problems . . . . . . . . . . . . . . 152 7 HYBRID MODELS 155 7. 1 Concepts . . . . . . . . 155 7. 2 Modeling digital circuits 155 7. 3 Bouncing ball . . . . . . 162 7. 4 Sensor modeling . . . . 166 7. 5 Language fundamentals 178 7. 6 Problems . . . . . . . . 186 8 EXPLORING NONLINEAR BEHAVIOR 189 8. 1 Concepts . . . 189 8. 2 An ideal diode 189 8. 3 Backlash . . . 193 8. 4 Thermal properties 199 Contents vii 8. 5 Hodgkin-Huxley nerve cell models 203 8. 6 Language fundamentals 206 8. 7 Problems . . . . . . . . . . . . . . 210 9 MISCELLANEOUS 213 9. 1 Lookup rules 213 9. 2 Annotations . . 225 Part II Effective Modelica 10 MULTI-DOMAIN MODELING 231 10. 1 Concepts . . . . . . . . . 231 231 10. 2 Conveyor system . . . . .

• Dynamics
• Modelica
• development
• model
• modeling
• system

`Altogether the book gives a comprehensive introduction to physical modelling and the new language Modelica and can be recommended to engineers and scientists who have to create or use models of physical systems.'
Peter Beater, Simulation News Europe, Issue 32/33, (November 2001)

• Ford Motor Company, Modelica Association, USA

  Michael Tiller

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