- 1.1 BASIC TERMINOLOGY 1.1
- 1.2 EXAMPLE SYSTEM 1.4
- 1.3 SUMMARY 1.4
- 1.4 PRACTICE PROBLEMS 1.4
- 2.1 INTRODUCTION 2.1
- 2.2 MODELING 2.3
- 2.2.1 Free Body Diagrams 2.4
- 2.2.2 Mass and Inertia 2.4
- 2.2.3 Gravity and Other Fields 2.8
- 2.2.4 Springs 2.10
- 2.2.5 Damping and Drag 2.18
- 2.2.6 Cables And Pulleys 2.21
- 2.2.7 Friction 2.23
- 2.2.8 Contact Points And Joints 2.25
- 2.3 SYSTEM EXAMPLES 2.25
- 2.4 OTHER TOPICS 2.35
- 2.5 SUMMARY 2.36
- 2.6 PRACTICE PROBLEMS 2.36
- 2.7 PRACTICE PROBLEM SOLUTIONS 2.41
- 2.8 ASSIGNMENT PROBLEMS 2.45
- 3.1 INTRODUCTION 3.1
- 3.2 EXPLICIT SOLUTIONS 3.2
- 3.3 RESPONSES 3.16
- 3.3.1 First-order 3.17
- 3.3.2 Second-order 3.23
- 3.3.3 Other Responses 3.28
- 3.4 RESPONSE ANALYSIS 3.31
- 3.5 NON-LINEAR SYSTEMS 3.33
- 3.5.1 Non-Linear Differential Equations 3.34
- 3.5.2 Non-Linear Equation Terms 3.38
- 3.5.3 Changing Systems 3.41
- 3.6 CASE STUDY 3.47
- 3.7 SUMMARY 3.51
- 3.8 PRACTICE PROBLEMS 3.51
- 3.9 PRACTICE PROBLEM SOLUTIONS 3.57
- 3.10 ASSIGNMENT PROBLEMS 3.64
- 4.1 INTRODUCTION 4.1
- 4.2 THE GENERAL METHOD 4.1
- 4.2.1 State Variable Form 4.2
- 4.3 NUMERICAL INTEGRATION 4.10
- 4.3.1 Numerical Integration With Tools 4.10
- 4.3.2 Numerical Integration 4.15
- 4.3.3 Taylor Series 4.21
- 4.3.4 Runge-Kutta Integration 4.23
- 4.4 SYSTEM RESPONSE 4.29
- 4.4.1 Steady-State Response 4.30
- 4.5 DIFFERENTIATION AND INTEGRATION OF EXPERIMENTAL DATA 4.31
- 4.6 ADVANCED TOPICS 4.33
- 4.6.1 Switching Functions 4.33
- 4.6.2 Interpolating Tabular Data 4.36
- 4.6.3 Modeling Functions with Splines 4.37
- 4.6.4 Non-Linear Elements 4.39
- 4.7 PRACTICAL ELEMENTS OF COMPUTER MATH 4.39
- 4.7.1 Numbering Systems 4.40
- 4.7.2 Speed 4.41
- 4.7.3 Accuracy 4.42
- 4.8 CASE STUDY 4.43
- 4.9 SUMMARY 4.50
- 4.10 PRACTICE PROBLEMS 4.51
- 4.11 PRACTICE PROBLEM SOLUTIONS 4.56
- 4.12 ASSIGNMENT PROBLEMS 4.79
- 5.1 INTRODUCTION 5.1
- 5.2 MODELING 5.2
- 5.2.1 Inertia 5.3
- 5.2.2 Springs 5.7
- 5.2.3 Damping 5.12
- 5.2.4 Levers 5.14
- 5.2.5 Gears and Belts 5.15
- 5.2.6 Friction 5.19
- 5.2.7 Permanent Magnet Electric Motors 5.22
- 5.3 OTHER TOPICS 5.23
- 5.4 DESIGN CASE 5.23
- 5.5 SUMMARY 5.28
- 5.6 PRACTICE PROBLEMS 5.28
- 5.7 PRACTICE PROBLEM SOLUTIONS 5.36
- 5.8 ASSIGNMENT PROBLEMS 5.48
- 6.1 INTRODUCTION 6.1
- 6.2 THE DIFFERENTIAL OPERATOR 6.1
- 6.3 INPUT-OUTPUT EQUATIONS 6.4
- 6.3.1 Converting Input-Output Equations to State Equations 6.6
- 6.4 TRANSFER FUNCTIONS 6.9
- 6.4.1 Integrating Input-Output Equations 6.11
- 6.5 DESIGN CASE 6.14
- 6.6 SUMMARY 6.24
- 6.7 PRACTICE PROBLEMS 6.24
- 6.8 PRACTICE PROBLEM SOLUTIONS 6.28
- 6.9 ASSIGNMENT PROBLEMS 6.32
- 6.10 REFERENCES 6.33
- 7.1 INTRODUCTION 7.1
- 7.2 MODELING 7.1
- 7.2.1 Resistors 7.2
- 7.2.2 Voltage and Current Sources 7.4
- 7.2.3 Capacitors 7.8
- 7.2.4 Inductors 7.10
- 7.2.5 Op-Amps 7.11
- 7.3 IMPEDANCE 7.16
- 7.4 EXAMPLE SYSTEMS 7.18
- 7.5 ELECTROMECHANICAL SYSTEMS - MOTORS 7.26
- 7.5.1 Permanent Magnet DC Motors 7.26
- 7.5.2 Induction Motors 7.28
- 7.5.3 Brushless Servo Motors 7.29
- 7.6 FILTERS 7.32
- 7.7 OTHER TOPICS 7.33
- 7.8 SUMMARY 7.33
- 7.9 PRACTICE PROBLEMS 7.34
- 7.10 PRACTICE PROBLEM SOLUTIONS 7.39
- 7.11 ASSIGNMENT PROBLEMS 7.44
- 8.1 INTRODUCTION 8.1
- 8.2 TRANSFER FUNCTIONS 8.1
- 8.3 CONTROL SYSTEMS 8.3
- 8.3.1 PID Control Systems 8.5
- 8.3.2 Manipulating Block Diagrams 8.7
- 8.3.3 A Motor Control System Example 8.12
- 8.3.4 System Error 8.17
- 8.3.5 Controller Transfer Functions 8.21
- 8.3.6 Feedforward Controllers 8.21
- 8.3.7 State Equation Based Systems 8.22
- 8.3.8 Cascade Controllers 8.24
- 8.4 EMBEDDED CONTROL 8.24
- 8.5 SUMMARY 8.26
- 8.6 PRACTICE PROBLEMS 8.26
- 8.7 PRACTICE PROBLEM SOLUTIONS 8.37
- 8.8 ASSIGNMENT PROBLEMS 8.49
- 9.1 INTRODUCTION 9.1
- 9.2 PHASORS FOR STEADY-STATE ANALYSIS 9.1
- 9.3 VIBRATIONS 9.8
- 9.4 PROGRAMS 9.10
- 9.5 SUMMARY 9.12
- 9.6 PRACTICE PROBLEMS 9.13
- 9.7 PRACTICE PROBLEM SOLUTIONS 9.14
- 9.8 ASSIGNMENT PROBLEMS 9.16
- 10.1 INTRODUCTION 10.1
- 10.2 BODE PLOTS 10.5
- 10.3 STRAIGHT LINE APPROXIMATIONS 10.10
- 10.3.1 Second Order Underdamped Terms 10.18
- 10.3.2 Lone Ds on the Top or Bottom 10.21
- 10.4 FREQUENCY RESPONSE FUNCTIONS 10.24
- 10.5 SIGNAL SPECTRUMS 10.25
- 10.6 SUMMARY 10.27
- 10.7 PRACTICE PROBLEMS 10.27
- 10.8 PRACTICE PROBLEM SOLUTIONS 10.31
- 10.9 ASSIGNMENT PROBLEMS 10.43
- 10.10 LOG SCALE GRAPH PAPER 10.45
- 11.1 INTRODUCTION 11.1
- 11.2 ROOT-LOCUS ANALYSIS 11.1
- 11.3 SUMMARY 11.10
- 11.4 PRACTICE PROBLEMS 11.11
- 11.5 PRACTICE PROBLEM SOLUTIONS 11.13
- 11.6 ASSIGNMENT PROBLEMS 11.24
- 12.1 INTRODUCTION 12.1
- 12.2 SOURCES OF NONLINEARITY 12.1
- 12.2.1 Non-Linear Relationships 12.1
- 12.3 NON-LINEAR ELEMENTS 12.2
- 12.3.1 Time Variant 12.3
- 12.3.2 Switching 12.3
- 12.3.3 Deadband 12.4
- 12.3.4 Saturation and Clipping 12.7
- 12.3.5 Hysteresis and Slip 12.8
- 12.3.6 Delays and Lags 12.9
- 12.4 SUMMARY 12.10
- 12.5 PRACTICE PROBLEMS 12.10
- 12.6 PRACTICE PROBLEM SOLUTIONS 12.10
- 12.7 ASIGNMENT PROBLEMS 12.10
- 13.1 INTRODUCTION 13.1
- 13.2 ANALOG INPUTS 13.3
- 13.3 ANALOG OUTPUTS 13.10
- 13.4 NOISE REDUCTION 13.12
- 13.4.1 Shielding 13.14
- 13.4.2 Grounding 13.16
- 13.5 CASE STUDY 13.16
- 13.6 SUMMARY 13.17
- 13.7 PRACTICE PROBLEMS 13.17
- 13.8 PRACTICE PROBLEM SOLUTIONS 13.17
- 13.9 ASSIGNMENT PROBLEMS 13.18
- 14.1 INTRODUCTION 14.1
- 14.2 INDUSTRIAL SENSORS 14.2
- 14.2.1 Angular Displacement 14.3
- Potentiometers 14.3
- 14.2.2 Encoders 14.4
- Tachometers 14.8
- 14.2.3 Linear Position 14.8
- Potentiometers 14.8
- Linear Variable Differential Transformers (LVDT) 14.9
- Moire Fringes 14.11
- Accelerometers 14.12
- 14.2.4 Forces and Moments 14.15
- Strain Gages 14.15
- Piezoelectric 14.18
- 14.2.5 Liquids and Gases 14.20
- Pressure 14.21
- Venturi Valves 14.22
- Coriolis Flow Meter 14.23
- Magnetic Flow Meter 14.24
- Ultrasonic Flow Meter 14.24
- Vortex Flow Meter 14.24
- Positive Displacement Meters 14.25
- Pitot Tubes 14.25
- 14.2.6 Temperature 14.25
- Resistive Temperature Detectors (RTDs) 14.26
- Thermocouples 14.26
- Thermistors 14.28
- Other Sensors 14.30
- 14.2.7 Light 14.30
- Light Dependant Resistors (LDR) 14.30
- 14.2.8 Chemical 14.31
- pH 14.31
- Conductivity 14.31
- 14.2.9 Others 14.32
- 14.3 INPUT ISSUES 14.32
- 14.4 SENSOR GLOSSARY 14.35
- 14.5 SUMMARY 14.36
- 14.6 REFERENCES 14.37
- 14.7 PRACTICE PROBLEMS 14.37
- 14.8 PRACTICE PROBLEM SOLUTIONS 14.38
- 14.9 ASSIGNMENT PROBLEMS 14.40
- 15.1 INTRODUCTION 15.1
- 15.2 ELECTRIC MOTORS 15.1
- 15.2.1 Basic Brushed DC Motors 15.3
- 15.2.2 AC Motors 15.7
- 15.2.3 Brushless DC Motors 15.15
- 15.2.4 Stepper Motors 15.17
- 15.2.5 Wound Field Motors 15.19
- 15.3 HYDRAULICS 15.23
- 15.4 OTHER SYSTEMS 15.24
- 15.5 SUMMARY 15.25
- 15.6 PRACTICE PROBLEMS 15.25
- 15.7 PRACTICE PROBLEM SOLUTIONS 15.26
- 15.8 ASSIGNMENT PROBLEMS 15.27
- 16.1 INTRODUCTION 16.1
- 16.2 MOTION PROFILES 16.2
- 16.2.1 Velocity Profiles 16.2
- 16.2.2 Position Profiles 16.12
- 16.3 MULTI AXIS MOTION 16.15
- 16.3.1 Slew Motion 16.16
- Interpolated Motion 16.17
- 16.3.2 Motion Scheduling 16.18
- 16.4 PATH PLANNING 16.20
- 16.5 CASE STUDIES 16.22
- 16.6 SUMMARY 16.24
- 16.7 PRACTICE PROBLEMS 16.24
- 16.8 PRACTICE PROBLEM SOLUTIONS 16.25
- 16.9 ASSIGNMENT PROBLEMS 16.26
- 17.1 INTRODUCTION 17.1
- 17.2 APPLYING LAPLACE TRANSFORMS 17.3
- 17.2.1 A Few Transform Tables 17.4
- 17.3 MODELING TRANSFER FUNCTIONS IN THE s-DOMAIN 17.9
- 17.4 FINDING OUTPUT EQUATIONS 17.12
- 17.5 INVERSE TRANSFORMS AND PARTIAL FRACTIONS 17.15
- 17.6 EXAMPLES 17.23
- 17.6.1 Mass-Spring-Damper Vibration 17.23
- 17.6.2 Circuits 17.25
- 17.7 ADVANCED TOPICS 17.27
- 17.7.1 Input Functions 17.27
- 17.7.2 Initial and Final Value Theorems 17.28
- 17.8 LAPLACE IMPULSE FUNCTIONS 17.29
- 17.9 A MAP OF TECHNIQUES FOR LAPLACE ANALYSIS 17.30
- 17.10 SUMMARY 17.31
- 17.11 PRACTICE PROBLEMS 17.32
- 17.12 PRACTICE PROBLEM SOLUTIONS 17.37
- 17.13 ASSIGNMENT PROBLEMS 17.42
- 17.14 REFERENCES 17.52
- 18.1 INTRODUCTION 18.1
- 18.2 UNIT IMPULSE FUNCTIONS 18.1
- 18.3 IMPULSE RESPONSE 18.3
- 18.4 CONVOLUTION 18.5
- 18.5 NUMERICAL CONVOLUTION 18.6
- 18.6 SUMMARY 18.9
- 18.7 PRACTICE PROBLEMS 18.9
- 18.8 PRACTICE PROBLEM SOLUTIONS 18.10
- 18.9 ASSIGNMENT PROBLEMS 18.10
- 19.1 INTRODUCTION 19.1
- 19.2 CONTROL SYSTEMS 19.1
- 19.2.1 PID Control Systems 19.3
- 19.2.2 Analysis of PID Controlled Systems With Laplace Transforms 19.5
- 19.2.3 Finding The System Response To An Input 19.8
- 19.2.4 Controller Transfer Functions 19.13
- 19.3 ROOT-LOCUS PLOTS 19.13
- 19.3.1 Approximate Plotting Techniques 19.17
- 19.4 DESIGN OF CONTINUOUS CONTROLLERS 19.21
- 19.5 SUMMARY 19.21
- 19.6 PRACTICE PROBLEMS 19.22
- 19.7 PRACTICE PROBLEM SOLUTIONS 19.27
- 19.8 ASSIGNMENT PROBLEMS 19.27
- 20.1 INTRODUCTION 20.1
- 20.2 OBSERVABILITY 20.13
- 20.3 CONTROLLABILITY 20.15
- 20.4 OBSERVERS 20.18
- 20.5 SUMMARY 20.18
- 20.6 PRACTICE PROBLEMS 20.19
- 20.7 PRACTICE PROBLEM SOLUTIONS 20.19
- 20.8 ASSIGNMENT PROBLEMS 20.19
- 20.9 BIBLIOGRAPHY 20.19
- 21.1 INTRODUCTION 21.1
- 21.2 FULL STATE FEEDBACK 21.2
- 21.3 OBSERVERS 21.5
- 21.4 SUPPLEMENTAL OBSERVERS 21.11
- 21.5 REGULATED CONTROL WITH OBSERVERS 21.11
- 21.6 LQR 21.22
- 21.7 LINEAR QUADRATIC GAUSSIAN (LQG) COMPENSATORS 21.24
- 21.8 VERIFYING CONTROL SYSTEM STABILITY 21.24
- 21.8.1 Stability 21.25
- 21.8.2 Bounded Gain 21.26
- 21.9 ADAPTIVE CONTROLLERS 21.28
- 21.10 OTHER METHODS 21.31
- 21.10.1 Kalman Filtering 21.32
- 21.11 SUMMARY 21.32
- 21.12 PRACTICE PROBLEMS 21.33
- 21.13 PRACTICE PROBLEM SOLUTIONS 21.33
- 21.14 ASSIGNMENT PROBLEMS 21.33
- 22.1 INTRODUCTION 22.1
- 22.2 SUMMARY 22.10
- 22.3 PRACTICE PROBLEMS 22.10
- 22.4 PRACTICE PROBLEM SOLUTIONS 22.10
- 22.5 ASSIGNMENT PROBLEMS 22.10
- 23.1 INTRODUCTION 23.1
- 23.2 MATHEMATICAL PROPERTIES 23.1
- 23.2.1 Induction 23.1
- 23.3 EXAMPLE SYSTEMS 23.9
- 23.4 SUMMARY 23.16
- 23.5 PRACTICE PROBLEMS 23.16
- 23.6 PRACTICE PROBLEM SOLUTIONS 23.16
- 23.7 ASSIGNMENT PROBLEMS 23.16
- 24.1 SUMMARY 24.1
- 24.2 MATHEMATICAL PROPERTIES 24.1
- 24.2.1 Resistance 24.2
- 24.2.2 Capacitance 24.4
- 24.2.3 Power Sources 24.6
- 24.3 EXAMPLE SYSTEMS 24.8
- 24.4 SUMMARY 24.10
- 24.5 PRACTICE PROBLEMS 24.10
- 24.6 PRACTICE PROBLEMS SOLUTIONS 24.10
- 24.7 ASSIGNMENT PROBLEMS 24.10
- 25.1 INTRODUCTION 25.1
- 25.2 MATHEMATICAL PROPERTIES 25.1
- 25.2.1 Resistance 25.1
- 25.2.2 Capacitance 25.3
- 25.2.3 Sources 25.4
- 25.3 EXAMPLE SYSTEMS 25.4
- 25.4 SUMMARY 25.7
- 25.5 PRACTICE PROBLEMS 25.7
- 25.6 PRACTICE PROBLEM SOLUTIONS 25.7
- 25.7 ASSIGNMENT PROBLEMS 25.7
- 26.1 INTRODUCTION 26.1
- 26.2 OBJECTIVES AND CONSTRAINTS 26.2
- 26.3 SEARCHING FOR THE OPTIMUM 26.6
- 26.4 OPTIMIZATION ALGORITHMS 26.9
- 26.4.1 Random Walk 26.9
- 26.4.2 Gradient Decent 26.10
- 26.4.3 Simplex 26.10
- 26.5 SUMMARY 26.10
- 26.6 PRACTICE PROBLEMS 26.10
- 26.7 PRACTICE PROBLEM SOLUTIONS 26.10
- 26.8 ASSIGNMENT PROBLEMS 26.10
- 27.1 INTRODUCTION 27.1
- 27.2 FINITE ELEMENT MODELS 27.2
- 27.3 FINITE ELEMENT MODELS 27.4
- 27.4 SUMMARY 27.12
- 27.5 PRACTICE PROBLEMS 27.13
- 27.6 PRACTICE PROBLEM SOLUTIONS 27.13
- 27.7 ASSIGNMENT PROBLEMS 27.13
- 27.8 BIBLIOGRAPHY 27.13
- 28.1 INTRODUCTION 28.1
- 28.2 COMMERCIAL CONTROLLERS 28.7
- 28.3 REFERENCES 28.8
- 28.4 SUMMARY 28.8
- 28.5 PRACTICE PROBLEMS 28.8
- 28.6 PRACTICE PROBLEM SOLUTIONS 28.8
- 28.7 ASSIGNMENT PROBLEMS 28.8
- 29.1 SUMMARY 29.9
- 29.2 PRACTICE PROBLEMS 29.10
- 29.3 PRACTICE PROBLEM SOLUTIONS 29.10
- 29.4 ASSIGNMENT PROBLEMS 29.10
- 29.5 REFERENCES 29.10
- 30.1 INTRODUCTION 30.1
- 30.2 CASE STUDY 30.3
- 30.3 SUMMARY 30.3
- 30.4 PRACTICE PROBLEMS 30.3
- 30.5 PRACTICE PROBLEM SOLUTIONS 30.3
- 30.6 ASSIGNMENT PROBLEMS 30.3
- 31.1 INTRODUCTION 31.1
- 31.1.1 State Diagram Example 31.4
- 31.1.2 Conversion to C Code 31.7
- 31.2 EXAMPLE SYSTEM 31.12
- 31.3 SUMMARY 31.12
- 31.4 PRACTICE PROBLEMS 31.12
- 32.1 FORGET WHAT YOU WERE TAUGHT BEFORE 32.1
- 32.2 8. Proofread your report.WHY WRITE REPORTS? 32.2
- 32.3 THE TECHNICAL DEPTH OF THE REPORT 32.3
- 32.4 TYPES OF REPORTS 32.3
- 32.5 LABORATORY REPORTS 32.4
- An Example First Draft of a Report 32.5
- An Example Final Draft of a Report 32.12
- 32.6 RESEARCH 32.12
- 32.7 DRAFT REPORTS 32.12
- 32.8 PROJECT REPORT 32.12
- 32.9 OTHER REPORT TYPES 32.14
- 32.9.1 Executive 32.14
- 32.9.2 Consulting 32.15
- 32.9.3 Memo(randum) 32.15
- 32.9.4 Interim 32.15
- 32.9.5 Poster 32.15
- 32.9.6 Progress Report 32.16
- 32.9.7 Oral 32.17
- 32.9.8 Patent 32.17
- 32.10 LAB BOOKS 32.18
- 32.11 REPORT ELEMENTS 32.19
- 32.11.1 Figures 32.20
- 32.11.2 Graphs 32.21
- 32.11.3 Tables 32.21
- 32.11.4 Equations 32.22
- 32.11.5 Experimental Data 32.23
- 32.11.6 Result Summary 32.24
- 32.11.7 References 32.24
- 32.11.8 Acknowledgments 32.25
- 32.11.9 Abstracts 32.25
- 32.11.10 Appendices 32.25
- 32.11.11 Page Numbering 32.26
- 32.11.12 Numbers and Units 32.26
- 32.11.13 Engineering Drawings 32.26
- 32.11.14 Discussions 32.27
- 32.11.15 Conclusions 32.27
- 32.11.16 Recommendations 32.28
- 32.11.17 Appendices 32.28
- 32.11.18 Units 32.28
- 32.12 GENERAL WRITING ISSUES 32.28
- 32.13 WRITERS BLOCK 32.29
- 32.14 TECHNICAL ENGLISH 32.30
- 32.15 EVALUATION FORMS 32.31
- 32.16 PATENTS 32.33
- 33.1 33.1
- 33.2 OVERVIEW 33.1
- 33.2.1 The Objectives and Constraints 33.2
- 33.3 MANAGEMENT 33.3
- 33.3.1 Timeline - Tentative 33.3
- 33.3.2 Teams 33.4
- 33.4 DELIVERABLES 33.5
- 33.4.1 Conceptual Design 33.5
- 33.4.2 EGR 345/101 Contract 33.5
- 33.4.3 Progress Reports 33.6
- 33.4.4 Design Proposal 33.6
- 33.4.5 The Final Report 33.7
- 33.5 REPORT ELEMENTS 33.8
- 33.5.1 Gantt Charts 33.8
- 33.5.2 Drawings 33.9
- 33.5.3 Budgets and Bills of Material 33.9
- 33.5.4 Calculations 33.10
- 33.6 APPENDICES 33.10
- 33.6.1 Appendix A - Sample System 33.10
- 33.6.2 Appendix B - EGR 345/101 Contract 33.18
- 33.6.3 Appendix C - Forms 33.19
- 34.1 BASIC RULES OF STYLE 34.1
- 34.2 EXPECTED ELEMENTS 34.1
- 34.3 SEPCIAL ELEMENTS 34.2
- 34.3.1 Graphs 34.2
- 34.3.2 EGR 345 Specific 34.2
- 34.4 SCILAB 34.2
- 34.5 TERMINOLOGY 34.3
- 35.1 INTRODUCTION 35.1
- 35.1.1 Constants and Other Stuff 35.2
- 35.1.2 Basic Operations 35.3
- Factorial 35.4
- 35.1.3 Exponents and Logarithms 35.4
- 35.1.4 Polynomial Expansions 35.5
- 35.1.5 Practice Problems 35.6
- 35.2 FUNCTIONS 35.9
- 35.2.1 Discrete and Continuous Probability Distributions 35.9
- 35.2.2 Basic Polynomials 35.9
- 35.2.3 Partial Fractions 35.11
- 35.2.4 Summation and Series 35.14
- 35.2.5 Practice Problems 35.16
- 35.3 SPATIAL RELATIONSHIPS 35.17
- 35.3.1 Trigonometry 35.17
- 35.3.2 Hyperbolic Functions 35.22
- Practice Problems 35.23
- 35.3.3 Geometry 35.24
- 35.3.4 Planes, Lines, etc. 35.41
- 35.3.5 Practice Problems 35.43
- 35.4 COORDINATE SYSTEMS 35.45
- 35.4.1 Complex Numbers 35.45
- 35.4.2 Cylindrical Coordinates 35.48
- 35.4.3 Spherical Coordinates 35.49
- 35.4.4 Practice Problems 35.50
- 35.5 MATRICES AND VECTORS 35.51
- 35.5.1 Vectors 35.51
- 35.5.2 Dot (Scalar) Product 35.52
- 35.5.3 Cross Product 35.57
- 35.5.4 Triple Product 35.59
- 35.5.5 Matrices 35.59
- 35.5.6 Solving Linear Equations with Matrices 35.64
- 35.5.7 Practice Problems 35.65
- 35.6 CALCULUS 35.70
- 35.6.1 Single Variable Functions 35.70
- Differentiation 35.70
- Integration 35.73
- 35.6.2 Vector Calculus 35.77
- 35.6.3 Differential Equations 35.79
- First-order Differential Equations 35.80
- Second-order Differential Equations 35.83
- Higher Order Differential Equations 35.86
- Partial Differential Equations 35.86
- 35.6.4 Other Calculus Stuff 35.87
- 35.6.5 Practice Problems 35.87
- 35.7 NUMERICAL METHODS 35.93
- 35.7.1 Approximation of Integrals and Derivatives from Sampled Data 35.93
- 35.7.2 Euler First-order Integration 35.94
- 35.7.3 Taylor Series Integration 35.94
- 35.7.4 Runge-Kutta Integration 35.95
- 35.7.5 Newton-Raphson to Find Roots 35.95
- 35.8 LAPLACE TRANSFORMS 35.96
- 35.8.1 Laplace Transform Tables 35.96
- 35.9 z-TRANSFORMS 35.99
- 35.10 FOURIER SERIES 35.102
- 35.11 TOPICS NOT COVERED (YET) 35.102
- 35.12 REFERENCES/BIBLIOGRAPHY 35.103
- 36.1 WHY USE `C'? 36.1
- 36.2 BACKGROUND 36.2
- 36.3 PROGRAM PARTS 36.2
- 36.4 HOW A `C' COMPILER WORKS 36.11
- 36.5 STRUCTURED `C' CODE 36.13
- 36.6 ARCHITECTURE OF `C' PROGRAMS (TOP-DOWN) 36.14
- 36.6.1 How? 36.14
- 36.6.2 Why? 36.15
- 36.7 CREATING TOP DOWN PROGRAMS 36.16
- 36.8 HOW THE BEAMCAD PROGRAM WAS DESIGNED 36.17
- 36.8.1 Objectives: 36.18
- 36.8.2 Problem Definition: 36.18
- 36.8.3 User Interface: 36.18
- Screen Layout (also see figure): 36.18
- Input: 36.19
- Output: 36.20
- Help: 36.20
- Error Checking: 36.20
- Miscellaneous: 36.21
- 36.8.4 Flow Program: 36.22
- 36.8.5 Expand Program: 36.22
- 36.8.6 Testing and Debugging: 36.24
- 36.8.7 Documentation 36.25
- Users Manual: 36.25
- Programmers Manual: 36.26
- 36.8.8 Listing of BeamCAD Program. 36.26
- 36.9 PRACTICE PROBLEMS 36.26
- 37.1 HOW TO USE UNITS 37.1
- 37.2 HOW TO USE SI UNITS 37.2
- 37.3 THE TABLE 37.2
- 37.4 ASCII, HEX, BINARY CONVERSION 37.6
- 37.5 G-CODES 37.8
- 38.1 FORMULA SHEET 38.4
- 39.1 TEXTBOOKS 39.1
- 39.1.1 Slotine and Li 39.1
- 39.1.2 VandeVegte 39.1
- 39.1.3 Others 39.2
- 40.1 UPDATED DC MOTOR MODEL 40.1
- 40.2 ANOTHER DC MOTOR MODEL 40.4
- 40.3 BLOCK DIAGRAMS AND UNITS 40.8
- 40.4 SIGNAL FLOW GRAPHS 40.9
- 40.5 ZERO ORDER HOLD 40.9
- 40.6 TORSIONAL DAMPERS 40.9
- 40.7 MISC 40.10
- 40.8 Nyquist Plot 40.10
- 40.9 NICHOLS CHART 40.12
- 40.10 BESSEL POLYNOMIALS 40.14
- 40.11 ITAE 40.15
- 40.12 ROOT LOCUS 40.16
- 40.13 LYAPUNOV'S LINEARIZATION METHOD 40.16
- 40.14 XXXXX 40.17
- 40.15 XXXXX 40.18
- 40.16 XXXXX 40.18
- 40.17 XXXXX 40.18
- 40.18 XXXXX 40.18
- 40.19 XXXXX 40.18
- 40.20 XXXXX 40.18
- 40.21 SUMMARY 40.18
- 40.22 PRACTICE PROBLEMS 40.18
- 40.23 PRACTICE PROBLEM SOLUTIONS 40.19
- 40.24 ASSGINMENT PROBLEMS 40.19
- 40.25 REFERENCES 40.19
- 40.26 BIBLIOGRAPHY 40.19