9780471394426

Modeling and Analysis of Dynamic Systems, 3rd Edition

by ; ;
  • ISBN13:

    9780471394426

  • ISBN10:

    0471394424

  • Edition: 3rd
  • Format: Paperback
  • Copyright: 8/1/2001
  • Publisher: Wiley
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Summary

The book presents the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems. Models are developed in the form of state-variable equations, input-output differential equations, transfer functions, and block diagrams. The Laplace-transform is used for analytical solutions. Computer solutions are based on MATLAB and Simulink.

Table of Contents

Introduction
1(13)
Rationale
1(1)
Analysis of Dynamic Systems
1(3)
Modeling the System
2(2)
Solving the Model
4(1)
Classification of Variables
4(1)
Classification of Systems
5(6)
Spatial Characteristics
6(1)
Continuity of the Time Variable
7(1)
Quantization of the Dependent Variable
8(1)
Parameter Variation
9(1)
Superposition Property
9(1)
Analogous Systems
10(1)
Computer Tools
11(1)
Scope and Objectives
12(2)
Translational Mechanical Systems
14(34)
Variables
14(2)
Element Laws
16(4)
Mass
16(1)
Friction
17(2)
Stiffness
19(1)
Interconnection Laws
20(3)
D'Alembert's Law
20(1)
The Law of Reaction Forces
21(1)
The Law for Displacements
21(2)
Obtaining the System Model
23(25)
Free-Body Diagrams
23(4)
Relative Displacements
27(4)
The Ideal Pulley
31(2)
Parallel Combinations
33(3)
Series Combinations
36(2)
Summary
38(1)
Problems
39(9)
Standard Forms for System Models
48(25)
State-Variable Equations
48(12)
Input-Output Equations
60(3)
Reduction of Simultaneous Differential Equations
62(1)
Comparison with the State-Variable Method
63(1)
Matrix Formulation of State-Variable Equations
63(10)
Summary
69(1)
Problems
69(4)
Block Diagrams And Computer Simulation
73(22)
Diagram Blocks
73(2)
Summer
74(1)
Gain
74(1)
Integrator
74(1)
Constant
75(1)
Combining Blocks to Solve Modeling Equations
75(5)
Diagrams for Input-Output Equations
75(2)
Diagrams for the Original Modeling Equations
77(1)
Diagrams for State-Variable Models
78(1)
Structure of Block Diagrams
79(1)
Running Simulink with MATLAB
80(10)
Blocks
80(2)
Inputs
82(1)
Running the Simulation
82(4)
M-files
86(4)
Repetitive Inputs
90(5)
Signal Generator
90(1)
Scope
90(2)
Summary
92(1)
Problems
92(3)
Rotational Mechnical Systems
95(43)
Variables
95(1)
Element Laws
96(6)
Moment of Inertia
96(1)
Friction
97(1)
Stiffness
98(2)
The Lever
100(1)
Gears
100(2)
Interconnection Laws
102(2)
D'Alembert's Law
103(1)
The Law of Reaction Torques
103(1)
The Law for Angular Displacements
103(1)
Obtaining the System Model
104(20)
Computer Simulation
124(14)
Summary
125(1)
Problems
126(12)
Electrical Systems
138(49)
Variables
138(2)
Element Laws
140(4)
Resistor
140(1)
Capacitor
141(1)
Inductor
142(1)
Sources
142(1)
Open and Short Circuits
143(1)
Interconnection Laws
144(4)
Kirchhoff's Voltage Law
144(1)
Kirchhoff's Current Law
144(4)
Obtaining the Input-Output Model
148(6)
Resistive Circuits
154(5)
Resistors in Series
155(1)
Resistors in Parallel
156(2)
The Steady-State Response
158(1)
Obtaining the State-Variable Model
159(7)
Operational Amplifiers
166(7)
Computer Simulation
173(14)
Summary
177(1)
Problems
177(10)
Transform Solutions of Linear Models
187(55)
Basic Considerations
187(2)
State-Variable Solutions
187(1)
Solution of the Input-Output Differential Equation
188(1)
Laplace Transform Solutions
188(1)
Transforms of Functions
189(3)
Step Function
189(1)
Exponential Function
190(1)
Ramp Function
191(1)
Trigonometric Functions
191(1)
Rectangular Pulse
192(1)
Transform Properties
192(5)
Multiplication by a Constant
193(1)
Superposition
193(1)
Multiplication of Functions
193(1)
Multiplication by an Exponential
194(1)
Multiplication by Time
194(1)
Differentiation
195(1)
Integration
196(1)
First-Order Systems
197(10)
General Procedure
199(1)
General First-Order Model
199(1)
Part of the Solution
200(3)
Initial Conditions
203(4)
The Step Function and Impulse
207(13)
The Unit Step Function
207(3)
The Unit Impulse
210(4)
The Transform of the Unit Impulse
216(4)
Transform Inversion
220(9)
Distinct Poles
221(1)
Repeated Poles
222(2)
Complex Poles
224(4)
Preliminary Step of Long Division
228(1)
Additional Transform Properties
229(13)
Time Delay
229(3)
Inversion of Some Irrational Transforms
232(1)
Initial-Value and Final-Value Theorems
233(3)
Problems
236(6)
Transform Function Analysis
242(57)
The Complete Solution
242(10)
Parts of the Solution
249(3)
The Zero-Input Response
252(12)
Second-Order Systems
253(1)
The Complex Plane
253(3)
A Property of Stable Systems
256(2)
Damping Ratio and Undamped Natural Frequency
258(5)
Mode Functions
263(1)
The Zero-State Response
264(10)
The Transfer Function
265(1)
Poles and Zeros
265(2)
Transient and Steady-State Components
267(2)
The Impulse Response
269(2)
The Step Response
271(2)
Differentiating the Input
273(1)
Frequency Response
274(6)
Properties of the Transfer Function
280(3)
Impedances
283(16)
Summary
287(1)
Problems
288(11)
Developing a Linear Model
299(37)
Linearization of an Element Law
299(6)
Graphical Approach
300(2)
Series-Expansion Approach
302(3)
Linerarization of the Model
305(11)
Circuits with Nonlinear Resistors
311(5)
Computer Simulation
316(6)
Piecewise Linear Systems
322(14)
Summary
325(1)
Problems
326(10)
Electromechanical Systems
336(33)
Resistive Coupling
336(3)
Loading Effect
338(1)
Coupling by a Magnetic Field
339(3)
Devices Coupled by Magnetic Fields
342(11)
The Galvanometer
342(3)
The Microphone
345(2)
A Direct-Current Motor
347(6)
A Device for Measuring Acceleration
353(4)
System Description
353(1)
System Model
354(1)
Transfer Function
355(1)
Frequency Response
356(1)
Computer Simulation
357(12)
Summary
360(1)
Problems
361(8)
Thermal Systems
369(27)
Variables
369(1)
Element Laws
370(3)
Thermal Capacitance
370(1)
Thermal Resistance
371(2)
Thermal Sources
373(1)
Dynamic Models of Thermal Systems
373(14)
A Thermal System
387(9)
System Description
384(1)
System Model
385(1)
System Response
386(3)
Summary
389(1)
Problems
390(6)
Fluid Systems
396(21)
Variables
396(1)
Element Laws
397(7)
Capacitance
397(2)
Resistance
399(4)
Sources
403(1)
Dynamic Models of Hydraulic Systems
404(13)
Summary
410(1)
Problems
411(6)
Block Diagrams for Dynamic Systems
417(38)
Rules for Altering Diagram Structure
417(6)
Series Combination
418(1)
Parallel Combination
418(2)
Moving a Pick-Off Point
420(1)
Moving a Simming Junction
421(2)
Reducing Diagrams for Feedback Systems
423(8)
Diagrams for Input-Output Models
431(9)
Second-Order Systems
432(5)
Higher-Order Systems
437(3)
Application to a Control System
440(15)
System Description
441(2)
System Model
443(1)
Closed-Loop Transfer Function
444(1)
Design for Specified Damping Ratio
445(1)
Proportional-Plus-Derivative Feedback
445(3)
Summary
448(1)
Problems
448(7)
Modeling, Analysis, and Design Tools
455(43)
Building Linear Models
455(11)
Transfer-Function Form
456(1)
Zero-Pole-Gain Form
456(1)
State-Space Form
457(1)
Extracting Data and Changing Forms
458(3)
Series Connection
461(3)
Parallel Connection
464(2)
Time-Domain Analysis
466(4)
Step and Impulse Responses
466(1)
Responses to Arbitrary Inputs and Initial Conditions
467(3)
Frequency-Domain Analysis
470(9)
Using MATLAB to Construct Bode Diagrams
475(2)
Using MATLAB to Construct Linear Plots
477(2)
Models for Feedback Systems
479(2)
Constructing MATLAB Models
479(2)
Stability
481(1)
Root-Locus Plots
481(8)
Using MATLAB to Construct the Locus
486(2)
Other Applications of the Root Locus
488(1)
Stability Criteria
489(9)
Summary
492(1)
Problems
492(6)
Feedback Design With Matlab
498(35)
Design Guidelines
498(13)
Proportional Control
500(4)
Proportional-Plus-Derivative Control
504(2)
Proportional-Plus-Integral Control
506(2)
Other Types of Control
508(2)
Additional Concerns
510(1)
Applications
511(22)
Summary
525(1)
Problems
526(7)
APPENDIX A UNITS 533(2)
APPENDIX B MATRICES 535(2)
APPENDIX C COMPLEX ALGEBRA 537(5)
APPENDIX D CLASSICAL SOLUTION OF DIFFERENTIAL EQUATIONS 542(5)
D.1 Homogeneous Differential Equations
542(2)
D.2 Nonhomogeneous Differential Equations
544(3)
APPENDIX E LAPLACE TRANSFORMS 547(3)
APPENDIX F SELECTED READING 550(3)
APPENDIX G ANSWERS TO SELECTED PROBLEMS 553(18)
Index 571

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