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1.2 Systems, Subsystems, and Components. |
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1.3 State-Determined Systems. |
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1.4 Uses of Dynamic Models. |
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1.5 Linear and Nonlinear Systems. |
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1.6 Automated Simulation. |
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2 Multiport Systems and Bond Graphs. |
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2.1 Engineering Multiports. |
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2.2 Ports, Bonds, and Power. |
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2.4 Inputs, Outputs, and Signals. |
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3 Basic Component Models. |
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3.1 Basic 1-Port Elements. |
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3.2 Basic 2-Port Elements. |
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3.3 The 3-Port Junction Elements. |
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3.4 Causality Considerations for the Basic Multiports. |
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3.4.1 Causality for Basic 1-Ports. |
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3.4.2 Causality for Basic 2-Ports and 3-Ports. |
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3.5 Causality and Block Diagrams. |
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3.6 Pseudo–Bond Graphs and Thermal Systems. |
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4.1.1 Electrical Circuits. |
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4.1.2 Electrical Networks. |
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4.2.1 Mechanics of Translation. |
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4.2.2 Fixed-Axis Rotation. |
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4.3 Hydraulic and Acoustic Circuits. |
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4.3.4 Fluid Circuit Construction. |
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4.3.5 An Acoustic Circuit Example. |
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4.4 Transducers and Multi-Energy-Domain Models. |
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4.4.1 Transformer Transducers. |
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4.4.2 Gyrator Transducers. |
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4.4.3 Multi-Energy-Domain Models. |
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5 State-Space Equations and Automated Simulation. |
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5.1 Standard Form for System Equations. |
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5.2 Augmenting the Bond Graph. |
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5.3 Basic Formulation and Reduction. |
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5.4 Extended Formulation Methods—Algebraic Loops. |
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5.4.1 Extended Formulation Methods—Derivative Causality. |
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5.5 Output Variable Formulation. |
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5.6 Automated and Nonlinear Simulation. |
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5.6.1 Nonlinear Simulation. |
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5.6.2 Automated Simulation. |
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6 Analysis of Linear Systems. |
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6.2 Solution Techniques for Ordinary Differential Equations. |
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6.3 Free Response and Eigenvalues. |
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6.3.1 A First-Order Example. |
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6.3.2 Second-Order Systems. |
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6.3.3 Example: The Undamped Oscillator. |
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6.3.4 Example: The Damped Oscillator. |
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6.4 Forced Response and Frequency Response Functions. |
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6.4.1 Normalization of Response Curves. |
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6.7 Alternative State Variables. |
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7 Multiport Fields and Junction Structures. |
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7.1 Energy-Storing Fields. |
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7.1.2 Causal Considerations for C-Fields. |
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7.1.4 Mixed Energy-Storing Fields. |
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7.3 Modulated 2-Port Elements. |
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7.5 Multiport Transformers. |
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8 Transducers, Amplifiers, and Instruments. |
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8.2 Energy-Storing Transducers. |
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8.3 Amplifiers and Instruments. |
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8.4 Bond Graphs and Block Diagrams for Controlled Systems. |
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9 Mechanical Systems with Nonlinear Geometry. |
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9.1 Multidimensional Dynamics. |
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9.2 Kinematic Nonlinearities in Mechanical Dynamics. |
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9.2.1 The Basic Modeling Procedure. |
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9.2.3 Lagrangian or Hamiltonian IC-Field Representations. |
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9.3 Application to Vehicle Dynamics. |
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10 Distributed-Parameter Systems. |
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10.1 Simple Lumping Techniques for Distributed Systems. |
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10.2 Lumped Models of Continua through Separation of Variables. |
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10.3 General Considerations of Finite-Mode Bond Graphs. |
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10.4 Assembling Overall System Models. |
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11 Magnetic Circuits and Devices. |
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11.1 Magnetic Effort and Flow Variables. |
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11.2 Magnetic Energy Storage and Loss. |
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11.3 Magnetic Circuit Elements. |
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11.4 Magnetomechanical Elements. |
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12.1 Basic Thermodynamics in Bond Graph Form. |
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12.2 Heat Transfer in True Bond Graphs and Pseudo–Bond Graphs. |
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12.2.2 An Electrothermal Resistor. |
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12.3 Fluid Dynamic Systems. |
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12.3.1 One-Dimensional Incompressible Flow. |
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12.3.2 Representation of Compressibility Effects. |
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12.3.3 Inertial and Compressibility Effects in One-Dimensional Flow. |
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12.4 Pseudo–Bond Graphs for Compressible Gas Dynamics. |
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12.4.1 The Thermodynamic Accumulator. |
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12.4.2 The Isentropic Nozzle. |
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12.4.3 Constructing Models with the Thermodynamic Accumulator and Isentropic Nozzle. |
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13 Nonlinear System Simulation. |
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13.1 Explicit First-Order Differential Equations. |
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13.2 Differential Algebraic Equations Caused by Algebraic Loops. |
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13.3 Implicit Equations Caused by Derivative Causality. |
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13.4 Automated Simulation of Dynamic Systems. |
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13.4.1 Sorting of Equations. |
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13.4.2 Implicit and Differential Algebraic Equation Solvers. |
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13.4.3 Icon-Based Automated Simulation. |
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13.5 Example Nonlinear Simulation. |
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13.5.1 Some Simulation Results. |
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