System Dynamics for Engineering Students,

Foreword

Preface

Resources That Accompany This Book

Chapter Introduction

1.1 Engineering System Dynamics

1.2 Modeling Engineering System Dynamics

1.2.1 Modeling Variants

1.2.2 Dynamical Systems Lumped-Parameter Modeling and Solution

1.3 Components, System, Input, and Output

1.4 Compliant Mechanisms and Microelectromechanical Systems

1.5 System Order

1.5.1 Zero-Order Systems

1.5.2 First-Order Systems

1.5.3 Second- and Higher-Order Systems

1.6 Coupled-Field (Multiple-Field) Systems

1.7 Linear and Nonlinear Dynamic Systems

Chapter 2 Mechanical Systems I

Objectives

Introduction

2.1 Basic Mechanical Elements: Inertia, Stiffness, Damping, and Forcing

2.1.1 Inertia Elements

2.1.2 Spring Elements

2.1.3 Damping Elements

2.1.4 Actuation (Forcing)

2.2 Basic Mechanical Systems

2.2.1 Newton’s Second Law of Motion Applied to Mechanical Systems Modeling

2.2.2 Free Response

2.2.3 Forced Response with Simulink®

Summary

Problems

Suggested Reading

Chapter 3 Mechanical Systems II

Objectives

Introduction

3.1 Lumped Inertia and Stiffness of Compliant Elements

3.1.1 Inertia Elements

3.1.2 Spring Elements

3.2 Natural Response of Compliant Single Degree-of-Freedom Mechanical Systems

3.3 Multiple Degree-of-Freedom Mechanical Systems

3.3.1 Configuration, Degrees of Freedom

3.3.2 Conservative Mechanical Systems

3.3.3 Forced Response with Simulink®

Summary

Problems

Suggested Reading

Chapter 4 Electrical Systems

Objectives

Introduction

4.1 Electrical Elements: Voltage and Current Sources, Resistor, Capacitor, Inductor, Operational Amplifier

4.1.1 Voltage and Current Source Elements

4.1.2 Resistor Elements

4.1.3 Capacitor Elements

4.1.4 Inductor Elements

4.1.5 Operational Amplifiers

4.2 Electrical Circuits and Networks

4.2.1 Kirchhoff’s Laws

4.2.2 Configuration, Degrees of Freedom

4.2.3 Methods for Electrical Systems Modeling

4.2.4 Free Response

4.2.5 Operational Amplifier Circuits

4.2.6 Forced Response with Simulink®

Summary

Problems

Suggested Reading

Chapter 5 Fluid and Thermal Systems

Objectives

Introduction

5.1 Liquid Systems Modeling

5.1.1 Bernoulli’s Law and the Law of Mass Conservation

5.1.2 Liquid Elements

5.1.3 Liquid Systems

5.2 Pneumatic Systems Modeling

5.2.1 Gas Laws

5.2.2 Pneumatic Elements

5.2.3 Pneumatic Systems

5.3 Thermal Systems Modeling

5.3.1 Thermal Elements

5.3.2 Thermal Systems

5.4 Forced Response with Simulink®

Summary

Problems

Suggested Reading

Chapter 6 The Laplace Transform

Objectives

Introduction

6.1 Direct Laplace and Inverse Laplace Transformations

6.1.1 Direct Laplace Transform and Laplace Transform Pairs

6.1.2 Properties of the Laplace Transform

6.2 Solving Differential Equations by the Direct and Inverse Laplace Transforms

6.2.1 Analytical and MATLAB® Partial-Fraction Expansion

6.2.2 Linear Differential Equations with Constant Coefficients

6.2.3 Use of MATLAB® to Calculate Direct and Inverse Laplace Transforms

6.2.4 Linear Differential Equation Systems with Constant Coefficients

6.2.5 Laplace Transformation of Vector-Matrix Differential Equations

6.2.6 Solving Integral and Integral-Differential Equations by the Convolution Theorem

6.2.7 Linear Differential Equations with Time-Dependent Coefficients

6.3 Time-Domain System Identification from Laplace-Domain Information

Summary

Problems

Suggested Reading

Chapter 7 Transfer Function Approach

Objectives

Introduction

7.1 The Transfer Function Concept

7.2 Transfer Function Model Formulation

7.2.1 Analytical Approach

7.2.2 MATLAB® Approach

7.3 Transfer Function and the Time Response

7.3.1 SISO Systems

7.3.2 MIMO Systems

7.4 Using Simulink® to Transfer Function Modeling

Summary

Problems

Suggested Reading

Chapter 8 State Space Approach

Objectives

Introduction

8.1 The Concept and Model of the State Space Approach

8.2 State Space Model Formulation

8.2.1 Analytical Approach

8.2.2 MATLAB® Approach

8.3 State Space and the Time-Domain Response

8.3.1 Analytical Approach: The State-Transition Matrix Method

8.3.2 MATLAB® Approach

8.4 Using Simulink® for State Space Modeling

Summary

Problems

Suggested Reading

Chapter 9 Frequency-Domain Approach

Objectives

Introduction

9.1 The Concept of Complex Transfer Function in Steady-State Response and Frequency-Domain Analysis

9.2 Calculation of Natural Frequencies for Conservative Dynamic Systems

9.2.1 Analytical Approach

9.2.2 MATLAB® Approach

9.3 Steady-State Response of Dynamic Systems to Harmonic Input

9.3.1 Analytical Approach

9.3.2 Using MATLAB® for Frequency Response Analysis

9.4 Frequency-Domain Applications

9.4.1 Transmissibility in Mechanical Systems

9.4.2 Cascading Nonloading Systems

9.4.3 Filters

Summary

Problems

Suggested Reading

Chapter 10 Coupled-Field Systems

Objectives

Introduction

10.1 Concept of System Coupling

10.2 System Analogies

10.2.1 First-Order Systems

10.2.2 Second-Order Systems

10.3 Electromechanical Coupling

10.3.1 Mechanical Strain, Electrical Voltage Coupling

10.3.2 Electromagnetomechanical Coupling

10.3.3 Electromagnetomechanical Coupling with Optical Detection in MEMS

10.3.4 Piezoelectric Coupling

10.4 Thermomechanical Coupling: The Bimetallic Strip

10.5 Nonlinear Electrothermomechanical Coupled-Field Systems

10.6 Simulink® Modeling of Nonlinear Coupled-Field Systems

Summary

Problems

Suggested Reading

Chapter 11 Introduction to Modeling and Design of Feedback Control Systems...www.booksite.academicpress.com/lobontiu

Appendix A Solution to Linear Ordinary Homogeneous Differential Equations with Constant Coefficients

Appendix B Review of Matrix Algebra

Appendix C Essentials of MATLAB® and System Dynamics-Related Toolboxes

Appendix D Deformations, Strains, and Stresses of Flexible Mechanical Components

Index