Preface xv About the Companion Website xvii 1 Introduction 1 1.1 System Modeling Concepts 1 1.2 General Steps in Modeling 2 1.3 Definitions of System Modeling Concepts 3 1.4 Energy Basis for Physical System Modeling 5 1.5 Relation to Classical Dynamics 10 1.6 Power Flow in Physical System Modeling 12 1.7 Outline of the Text 15 1.
8 Problems 16 2 Kirchhoff Systems 23 2.1 Mechanical Translation 23 2.2 Mechanical Rotation 32 2.3 Electric Systems 40 2.4 Hydraulic Systems 50 2.5 Ideal Couplers 57 2.6 Thermal System Elements and Effects 60 2.7 State-Space and Numerical Response Analysis 69 2.
8 Summary 78 2.9 Problems 78 3 Physical Modeling with Bond Graphs 91 3.1 Bond Graph Variables 93 3.2 Bond Graph Elements 94 3.3 Modeling Examples 102 3.4 Algorithmic Conversion of Schematics to Bond Graphs 106 3.5 Causality 109 3.6 State Variables and State Equation Derivation 113 3.
7 Thermal Effects in Bond Graph Models 124 3.8 Summary 134 3.9 Problems 138 4 System Model Formulation and Evaluation 155 4.1 Equilibrium Analysis 156 4.2 Linearization Techniques 165 4.3 Signals and Block Diagrams with Causal Bond Graphs 170 4.4 Transfer Functions 175 4.5 Stability of Physical Systems 181 4.
6 Constitutive Structure 188 4.7 Modulation Structure 195 4.8 Summary 215 4.9 Problems 216 5 Linear System Modeling and Analysis 239 5.1 Analysis of First-Order System Models 239 5.2 Analysis of Second-Order System Models 246 5.3 Application of Model Response 256 5.4 Analysis Using System Model Transfer Functions 263 5.
5 Poles and Zeros from Transfer Function Models 268 5.6 Response of nth-Order Linear Systems 272 5.7 Forced Response of nth-Order Systems 278 5.8 Forced Response from Transfer Functions 281 5.9 Chapter Summary 283 5.10 Problems 283 6 Frequency Response and Impedance-Based Modeling 299 6.1 Frequency Response 299 6.2 Basic Factors of Frequency Response Functions 305 6.
3 Impedance Methods Using Bond Graphs 310 6.4 Applications of Frequency Response 317 6.5 Two-Port Models and Transmission Matrices 330 6.6 Additional Application of Impedance Formulations 344 6.7 Summary 360 6.8 Problems 360 7 Modeling Feedback Control Systems 375 7.1 Feedback Control Representations 375 7.2 Modeling Control System Elements 379 7.
3 Closed-Loop Feedback Control 388 7.4 Linear Feedback Controllers and Compensators 396 7.5 State Variable Control Methods 424 7.6 Simulation of Controlled Systems 453 7.7 Summary 460 7.8 Problems 461 8 Multiport Modeling and Energy Methods 475 8.1 Multiport Concept and Usage 475 8.2 Causality and Constitutive Relations for Multiports 480 8.
3 Electromechanical Systems Modeling 488 8.4 Lagrange's Equations in System Modeling 508 8.5 Variational and Minimum Principles 533 8.6 Chapter Summary 537 8.7 Problems 537 9 Thermodynamic Systems 557 9.1 Thermodynamic Systems and Relations 557 9.2 Equations of State for Ideal Gases 565 9.3 Applications in Thermomechanical Systems 572 9.
4 Modeling Open Thermo-Fluid Systems 576 9.5 Multicomponent Systems 592 9.6 Open System Effects and Diffusion 597 9.7 Systems with Chemical Reactions 609 9.8 Chapter Summary 617 9.9 Problems 617 References 625 Index 633.