System Dynamics

system Dynamics Includes The Strongest Treatment Of Computational Software And System Simulation Of Any Available Text, With Its Early Introduction Of Matlab® And Simulink®. The Text's Extensive Coverage Also Includes Discussion Of The Root Locus And Frequency Response Plots, Among Other Methods For Assessing System Behavior In The Time And Frequency Domains As Well As Topics Such As Function Discovery, Parameter Estimation, And System Identification Techniques, Motor Performance Evaluation, And System Dynamics In Everyday Life. Cover Page ......Page 1 Title Page ......Page 4 Copyright Page ......Page 5 Dedication ......Page 6 Contents ......Page 7 Preface......Page 10 About the Author......Page 15 CHAPTER 1: Introduction......Page 16 1.1 Introduction to System Dynamics......Page 17 1.2 Units......Page 22 1.3 Developing Linear Models......Page 24 1.4 Function Identification and Parameter Estimation......Page 30 1.5 Fitting Models to Scattered Data......Page 38 1.6 MATLAB and the Least-Squares Method......Page 44 Problems......Page 52 CHAPTER 2: Modeling of Rigid-Body Mechanical Systems......Page 57 2.1 Translational Motion......Page 58 2.2 Rotation About a Fixed Axis......Page 63 2.3 Equivalent Mass and Inertia......Page 70 2.4 General Planar Motion......Page 76 Problems......Page 85 CHAPTER 3: Solution Methods for Dynamic Models......Page 95 3.1 Differential Equations......Page 96 3.2 Response Types and Stability......Page 107 3.3 The Laplace Transform Method......Page 116 3.4 Transfer Functions......Page 130 3.5 Partial-Fraction Expansion......Page 133 3.6 The Impulse and Numerator Dynamics......Page 143 3.7 Additional Examples......Page 149 3.8 Computing Expansion Coefficients with MATLAB......Page 154 3.9 Transfer-Function Analysis in MATLAB......Page 157 3.10 Chapter Review......Page 163 Problems......Page 165 CHAPTER 4: Spring and Damper Elements in Mechanical Systems......Page 172 4.1 Spring Elements......Page 173 4.2 Modeling Mass-Spring Systems......Page 182 4.3 Energy Methods......Page 191 4.4 Damping Elements......Page 199 4.5 Additional Modeling Examples......Page 208 4.6 Collisions and Impulse Response......Page 220 4.7 MATLAB Applications......Page 223 4.8 Chapter Review......Page 227 Problems......Page 228 CHAPTER 5: State-Variable Models and Simulation Methods......Page 239 5.1 State-Variable Models......Page 240 5.2 State-Variable Methods with MATLAB......Page 251 5.3 The MATLAB ode Functions......Page 257 5.4 Simulink and Linear Models......Page 264 5.5 Simulink and Nonlinear Models......Page 270 5.6 Chapter Review......Page 278 Problems......Page 279 CHAPTER 6: Electrical and Electromechanical Systems......Page 287 6.1 Electrical Element......Page 288 6.2 Circuit Examples......Page 294 6.3 Impedance and Amplifiers......Page 304 6.4 Electric Motors......Page 312 6.5 Analysis of Motor Performance......Page 319 6.6 Sensors and Electroacoustic Devices......Page 329 6.7 MATLAB Applications......Page 332 6.8 Simulink Applications......Page 340 6.9 Chapter Review......Page 343 Problems......Page 344 CHAPTER 7: Fluid and Thermal Systems......Page 354 7.1 Conservation of Mass......Page 355 7.2 Fluid Capacitance......Page 360 7.3 Fluid Resistance......Page 365 7.4 Dynamic Models of Hydraulic Systems......Page 370 7.5 Pneumatic Systems......Page 384 7.6 Thermal Capacitance......Page 387 7.7 Thermal Resistance......Page 389 7.8 Dynamic Models of Thermal Systems......Page 398 7.9 MATLAB Applications......Page 406 7.10 Simulink Applications......Page 410 Problems......Page 415 CHAPTER 8: System Analysis in the Frequency Domain......Page 430 8.1 Frequency Response of First-Order Systems......Page 431 8.2 Frequency Response of Higher-Order Systems......Page 447 8.3 Frequency Response Examples......Page 457 8.4 Filtering Properties of Dynamic Systems......Page 468 8.5 System Identification from Frequency Response......Page 476 8.6 Frequency Response Analysis Using MATLAB......Page 481 8.7 Chapter Review......Page 484 Problems......Page 485 CHAPTER 9: Transient Response and Block Diagram Models......Page 495 9.1 Response of First-Order Systems......Page 497 9.2 Response of Second-Order Systems......Page 505 9.3 Description and Specification of Step Response......Page 513 9.4 Parameter Estimation in the Time Domain......Page 522 9.5 Introduction to Block Diagrams......Page 531 9.6 Modeling Systems with Block Diagrams......Page 538 9.7 MATLAB Applications......Page 547 9.8 Simulink Applications......Page 548 9.9 Chapter Review......Page 551 Problems......Page 552 CHAPTER 10: Introduction to Feedback Control Systems......Page 561 10.1 Closed-Loop Control......Page 562 10.2 Control System Terminology......Page 565 10.3 Modeling Control Systems......Page 566 10.4 The PID Control Algorithm......Page 580 10.5 Control System Analysis......Page 587 10.6 Controlling First-Order Plants......Page 592 10.7 Controlling Second-Order Plants......Page 602 10.8 Additional Examples......Page 610 10.9 MATLAB Applications......Page 624 10.10 Simulink Applications......Page 630 Problems......Page 634 CHAPTER 11: Control System Design and the Root Locus Plot......Page 647 11.1 Root Locus Plots......Page 648 11.2 Design Using the Root Locus Plot......Page 653 11.3 State-Variable Feedback......Page 680 11.4 Tuning Controllers......Page 689 11.5 Saturation and Reset Windup......Page 695 11.6 MATLAB Applications......Page 702 11.7 Simulink Applications......Page 708 11.8 Chapter Review......Page 710 Problems......Page 711 CHAPTER 12: Compensator Design and the Bode Plot......Page 728 12.1 Series Compensation......Page 729 12.2 Design Using the Bode Plot......Page 748 12.3 MATLAB Applications......Page 763 12.4 Simulink Applications......Page 767 Problems......Page 768 CHAPTER 13: Vibration Applications......Page 778 13.1 Base Excitation......Page 779 13.2 Rotating Unbalance......Page 784 13.3 Vibration Absorbers......Page 790 13.4 Modes of Vibrating Systems......Page 798 13.5 Active Vibration Control......Page 807 13.6 Nonlinear Vibration......Page 811 13.7 MATLAB Applications......Page 820 13.8 Chapter Review......Page 822 Problems......Page 823 A. Guide to Selected MATLAB Commandsand Functions......Page 830 B. Fourier Series......Page 837 C. Introduction to MATLAB (on the text website)......Page 839 D. Numerical Methods (on the text website)......Page 868 Glossary......Page 885 Index......Page 888 System Dynamics includes the strongest treatment of computational software and system simulation of any available text, with its early introduction of MATLAB® and Simulink®. The text's extensive coverage also includes discussion of the root locus and frequency response plots, among other methods for assessing system behavior in the time and frequency domains as well as topics such as function discovery, parameter estimation, and system identification techniques, motor performance evaluation, and system dynamics in everyday life. - Publisher.