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Preface page ix
Acknowledgments xiii
1 Introduction 1
1.1 General Concepts 1
1.2 Classification of Dynamic Systems 4
1.3 System Model Representations 6
1.4 Analogous Relations 11
1.5 Software for Computation 13
1.6 Units 15
2 Fundamentals of Mathematics 16
2.1 Vector Algebra 16
2.2 Matrix Algebra 24
2.3 Complex Numbers 34
2.4 The Laplace Transform 37
2.5 Differential Equations 63
2.6 Solution of Linear Ordinary Differential Equations with Constant
Coefficients 70
2.7 Transfer Functions and Block Diagrams of Time-Invariant Systems 95
2.8 Solution of State Equations via Numerical Integration 98
Chapter Summary 102
References 103
Problems 103
3 Mechanical Systems 114
3.1 Fundamental Principles of Mechanical Systems 115
3.2 Translational Systems 120
3.3 Rotational Systems 144
3.4 Rigid-Body Systems in Plane Motion 169
3.5 Energy Approach 177
3.6 Block Diagrams of Mechanical Systems 181
3.7 State-Space Representations 185
3.8 Dynamic Responses via MATLAB 191
3.9 Dynamic Responses via Mathematica 198
Chapter Summary 204
References 204
Problems 204
4 Electrical Systems 222
4.1 Fundamentals of Electrical Systems 223
4.2 Concept of Impedance 230
4.3 Kirchhoff’s Laws 242
4.4 Passive-Circuit Analysis 244
4.5 State-Space Representations and Block Diagrams 258
4.6 Passive Filters 271
4.7 Active-Circuit Analysis 277
4.8 Dynamic Responses via Mathematica 297
Chapter Summary 306
References 306
Problems 307
5 Thermal and Fluid Systems 334
5.1 Fundamental Principles of Thermal Systems 335
5.2 Basic Thermal Elements 339
5.3 Dynamic Modeling of Thermal Systems 346
5.4 Fundamental Principles of Fluid Systems 353
5.5 Basic Elements of Liquid-Level Systems 356
5.6 Dynamic Modeling of Liquid-Level Systems 363
5.7 Fluid Inertance 368
5.8 The Bernoulli Equation 370
5.9 Pneumatic Systems 374
5.10 Dynamic Response via MATLAB and Simulink 378
Chapter Summary 384
References 384
Problems 384
6 Combined Systems and System Modeling Techniques 396
6.1 Introduction to System-Level Modeling 397
6.2 System Modeling Techniques 398
6.3 Fundamentals of Electromechanical Systems 425
6.4 Direct Current Motors 433
6.5 Block Diagrams in the Time Domain 457
6.6 Modeling and Simulation by Simulink 464
6.7 Modeling and Simulation by Mathematica 475
Chapter Summary 485
References 486
Problems 486
7 System Response Analysis 502
7.1 System Response Analysis in the Time Domain 502
7.2 Stability Analysis 544
7.3 System Response Analysis in the Frequency Domain 558
7.4 Time Response of Linear Time-Varying and Nonlinear Systems 571
Chapter Summary 577
References 578
Problems 578
8 Introduction to Feedback Control Systems 589
8.1 General Concepts 589
8.2 Advantages of Closed-Loop Control Systems 595
8.3 PID Control Algorithm 601
8.4 Control System Analysis 611
8.5 The Root Locus Method 619
8.6 Analysis and Design by the Root Locus Method 632
8.7 Additional Examples of Control Systems 648
Chapter Summary 653
References 654
Problems 654
9 Application Problems 666
9.1 Vibration Analysis of a Car Moving on a Bumpy Road 667
9.2 Speed Control of a Coupled Engine–Propeller System 686
9.3 Modeling and Analysis of a Thermomechanical System (a Bimetallic Strip
Thermometer) 697
9.4 Modeling and Analysis of an Electro-Thermo-Mechanical System (a
Resistive-Heating Element) 702
9.5 Feedback Control of a Liquid-Level System for Water Purification 711
9.6 Sensors, Electroacoustic, and Piezoelectric Devices 723
References 756
Appendices
A. Units and Conversion Table 758
B. A Brief Introduction to MATLAB and Simulink 761
C. A Brief Introduction to Wolfram Mathematica 771
Index 778
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