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| Introduction | |
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| Dynamic Systems | |
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| Control Systems | |
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| Dimensions and Units | |
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| Mathematical Modeling of Dynamic Systems | |
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| System Response | |
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| Linearization of Differential Equations | |
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| Unit Impulse Function and Unit Step Function | |
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| Unit Impulse Function | |
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| Unit Step Function | |
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| Stability | |
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| Matlab | |
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| Scope of Study | |
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| Summary | |
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| Chapter Highlights | |
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| Important Equations Problems | |
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| Mechanical Systems | |
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| Inertia Elements | |
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| Particles | |
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| Rigid Bodies | |
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| Deformable Bodies | |
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| Degrees of Freedom | |
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| Springs | |
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| Force-Displacement Relations | |
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| Combinations of Springs | |
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| Static Deflections | |
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| Friction Elements | |
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| Viscous Damping | |
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| Coulomb Damping | |
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| Hysteretic Damping | |
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| Mechanical System Input | |
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| External Forces and Torques | |
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| Impulsive Forces | |
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| Step Forces | |
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| Periodic Forces | |
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| Motion Input | |
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| Free-Body Diagrams | |
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| Newton's Laws | |
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| Particles | |
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| Rigid Body Motion | |
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| Pure Rotational Motion About a Fixed Axis of Rotation | |
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| Planar Motion of a Rigid Body | |
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| Three-Dimensional Motion of Rigid Bodies | |
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| D'Alembert's Principle | |
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| Particles | |
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| Rigid Bodies Undergoing Planar Motion | |
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| Single-Degree-of Freedom Systems | |
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| Multi-Degree-of-Freedom Systems | |
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| Energy Methods | |
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| Principles of Work and Energy | |
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| Equivalent Systems | |
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| Energy Storage | |
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| Lagrange's Equation for Multi-Degree-of-Freedom Systems | |
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| States and Order | |
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| Further Eamples | |
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| Summary | |
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| Modeling Methods | |
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| Chapter Highlights | |
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| Important Equations Problems | |
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| Electrical Systems | |
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| Charge, Current, Voltage, and Power | |
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| Circuit Components | |
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| Resistors | |
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| Capacitors | |
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| Inductors | |
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| Voltage and Current Sources | |
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| Operational Amplifiers | |
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| Electric Circuits and Mechanical Systems | |
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| Kirchoff's Laws | |
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| Circuit Reduction | |
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| Series and Parallel Components | |
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| Series Combinations | |
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| Parallel Combinations | |
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| Modeling of Electric Circuits | |
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| Mechanical Systems Analogies | |
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| Energy Principles | |
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| Single Loop Circuits with Voltage Sources | |
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| Single Loop Circuits with Current Sources | |
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| Multiple Loop Circuits | |
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| Mechanical Systems with Motion Input | |
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| States | |
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| Operational Amplifiers | |
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| Electromechanical Systems | |
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| Magnetic Fields | |
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| General Theory | |
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| DC Servomotors | |
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| Microelectromechanical Systems (MEMS) and Nanoelectromechanical Systems (NEMS) | |
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| Further Examples | |
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| Summary | |
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| Mathematical Modeling of Electrical Systems | |
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| Other Chapter Highlights | |
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| Important Equations Problems | |
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| Fluid, Thermal, and Chemical Systems | |
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| Introduction | |
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| Control Volume Analysis | |
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| Conservation of Mass | |
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| Energy Equation | |
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| Bernoulli's Equation | |
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| Pipe Flow | |
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| Losses | |
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| Orifices | |
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| Compressible Flows | |
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| Modeling of Liquid Level Systems | |
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| Pneumatic and Hydraulic Systems | |
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| Pneumatic Systems | |
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| Hydraulic Systems | |
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| Thermal Systems | |
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| Chemical and Biological Systems | |
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| Continuous Stirred Tank Reactors (CSTR) | |
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| Biological Systems | |
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| Further Examples | |
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| Summary | |
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| Mathematical Modeling of Transport Systems | |
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| Chapter Highlights | |
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| Important Equations Problems | |
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| Laplace Transforms | |
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| Definition and Existence | |
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| Determination of Transform Pairs | |
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| Direct Integration | |
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| Use of Matlab | |
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| Laplace Transform Properties | |
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| Inversion of Transforms | |
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| Use of Tables and Properties | |
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| Partial Fraction Decompositions | |
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| Real Distinct Poles | |
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| Complex Poles | |
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| Repeated Poles | |
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| Brute Force Methods | |
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| Inversion of Transforms of Periodic Functions | |
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| Use of Matlab | |
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| Laplace Transform solution | |