Preface
1. CHƯƠNG 1: INTRODUCTION
1.1. What Is a System?
1.2. Modeling and Analysis Tools
1.3. Continuous Time Motions Versus Dynamic “Snapshots”
2. CHƯƠNG 2: LAPLACE TRANSFORM TECHNIQUES
2.1. Definition of the Laplace Transform
2.2. Laplace Transforms of Common Functions
2.3. Properties of the Laplace Transform
2.4. Laplace Transform of a Time-Delayed Function
2.5. Laplace Transform of a Time Derivative
2.6. Initial and Final Value Theorems
2.7. Inverting Laplace Transforms
2.7.1. Distinct Real Poles
2.7.2. Repeated Real Poles
2.7.3. Special Case That Often Occurs with Step Inputs to Systems
2.8. Using MATLAB® to Find Laplace and Inverse Laplace Transforms
2.9. Solving Differential Equations Using Laplace Transforms
3. CHƯƠNG 3: ELEMENTS OF LUMPED PARAMETER MODELS
3.1. Linear Spring Elements
3.2. Linear Damping Elements
3.3. Combinations of Springs and Dampers
3.4. Rack and Pinion
4. CHƯƠNG 4: TRANSIENT RECTILINEAR MOTION OF MECHANICAL SYSTEMS
4.1. Simple Harmonic Oscillator
4.2. Initial Velocity Only (x(0) = 0, x_ (0) = v0, F(t) = 0)
4.3. Damped Harmonic Oscillator
4.4. The Effect of Gravitational Loads
4.5. Transfer Functions and the Characteristic Equation
4.6. Multiple Degree of Freedom Systems
5. CHƯƠNG 5: TRANSIENT ROTATIONAL MOTION OF MECHANICAL SYSTEMS
5.1. The Simple Pendulum
5.2. Simple Undamped Pendulum with Initial Velocity Only (θ(0) = 0, θ(0) _ = ω0, M(t) = 0)
5.3. Simple Damped Pendulum with Initial Velocity (θ(0) = 0, θ(0) _ = ω0, M(t) = 0)
5.4. Simple Damped Pendulum with Step Input (θ(0) = 0, θ_ (0) = 0, M(t) = MO u(t))
5.5. Pendulum-Like Systems
5.6. Rotational Drive Systems
5.6.1. No Input Angle (θin = 0)
5.6.2. Nonzero Input Angle (θin ≠ 0)
5.7. Multiple Degree of Freedom Rotational Systems
6. CHƯƠNG 6: COMBINED RECTILINEAR AND ROTATIONAL MOTIONS: TRANSMISSION ELEMENTS
6.1. Systems with Transmission Elements
6.2. Levers in Dynamic Systems
6.3. Gears in Dynamic Systems
6.4. Other Transmission Elements
6.5. Higher Degree of Freedom Systems and Transfer Functions
7. CHƯƠNG 7: ELECTRICAL ELEMENT INPUT/OUTPUT RELATIONSHIPS
7.1. Impedances in Series and Parallel
7.2. Kirchhoff’s Laws for Circuit Analysis
7.3. Differential Equation Methods
8. CHƯƠNG 8: ELECTROMECHANICAL SYSTEMS
8.1. Inverting Op-Amp
8.2. Noninverting Op-Amp Configuration
8.3. Permanent Magnet Direct Current Motors
8.3.1. Motor Transfer Function
8.3.2. Dynamic Motor Response
8.3.3. Motor Time Constants and Approximate First-Order Behavior
8.3.4. Steady State Motor Behavior in Response to External Load
8.4. Other Electromechanical Devices: Acoustic Speaker/Voice Coil
9. CHƯƠNG 9: BULK HEAT TRANSFER
9.1. Basic Lumped Parameter Thermal Elements
9.2. Thermal Resistance: Heat Exchange with the Environment
9.3. Thermal Mass Subject to a Constant Heat Input
9.4. Thermal Mass Subjected to Heat Exchange with the Environment
9.5. Thermal Mass Subjected to Heat Exchange with the Environment and Power Input
9.6. A Proportional Integral Derivative (PID) Thermal Control System
10. CHƯƠNG 10: BLOCK DIAGRAMS AND INTRODUCTION TO CONTROL SYSTEMS
10.1. Block Diagram Algebra
10.2. Feedback Loops with Proportional Gain
10.3. Feedback Loops with Proportional, Integral, and Derivative Gains (PID Control)
10.4. Block Diagram Representation of a Permanent Magnet DC Motor
10.5. Application of Block Diagrams to Servomotor Control
11. CHƯƠNG 11: FREQUENCY DOMAIN ANALYSIS
11.1. Response of Spring-Mass System to a Periodic Input
11.2. Frequency Response Functions
11.3. Properties of the Frequency Response Function
11.4. Multiple Degree-of-Freedom Systems
11.5. Tuned-Mass Absorber Example
