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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 | |