《PRINCIPLES OF ANALOG COMPUTATION》

Chapter 1．Major Components of the Analog Computer1

1-1．Introduction1

1-2．Operational Amplifiers1

1-3．Potentiometers6

1-4．The Servomultiplier8

1-5．The Pulse-height Pulse-width Multiplier11

1-6．Additional Methods for Electronic Multiplication13

1-7．The Servo Resolver15

1-8．Output Devices or Recorders17

1-9．Problem Boards22

Chapter 2．Problem Planning and Programming29

2-1．Introduction29

2-2．Standard Symbols29

2-3．Methods of Diagramming31

2-4．Computer Work Sheets32

2-5．Scale Factors32

2-6．Problem Preparation for the Analog Computer34

2-7．The Need for Time Transformation41

2-8．Making the Time Transformation42

2-9．Programming Transfer Functions46

2-10．Simulation of a High-order Transfer Function．Which Requires Time Transformation47

2-11．Programming a Problem Which Requires Multiplication49

2-12．Generalized Integration52

2-13．Programming a Set of Simultaneous Differential Equations54

2-14．Programming a Problem Involving Trigonometric Operations57

2-15．Programming a Problem Involving Simultaneous Nonlinear Differential Equations59

Chapter 3．Simulation of Linear Systems64

3-1．Introduction64

3-2．Block-diagram Notation65

3-3．Theory and Application of Bode Plots66

3-4．Simulation of Linear Systems by the Direct Solution of the Differential Equations76

3-5．Analysis of a Five-impedance Network91

3-6．Network Synthesis Using an Impedance Table97

3-7．Comparison of Methods109

3-8．The Simulation of Dead Time112

Chapter 4．The Use of Diodes in Analog Computations125

4-1．Introduction125

4-2．Limiting the Summing Amplifier126

4-3．Limiting an Integrator136

4-4．Simulation of Dead Space137

4-5．Hysteresis and Backlash139

4-6．Absolute Value142

4-7．The Comparator and Its Applications143

4-8．The Generation of Simple Arbitrary Functions146

4-9．Simulation of an Accelerometer148

4-10．The Idealized Diode Circuit and Its Application151

Chapter 5．Function Relays156

5-1．Introduction156

5-2．The Relay Comparator156

5-3．The Use of Relays in Computer Circuits157

5-4．A Comparison of Relay and Diode Switching Methods161

Chapter 6．Implicit-function Techniques163

6-1．Introduction163

6-2．The Use of High-gain Amplifiers for Implicit Computation163

6-3．The Division Circuit164

6-4．The Square-root Circuit171

6-5．The Inverse-sine Function175

6-6．The Arctangent Circuit177

6-7．Stability of Implicit-function Circuits179

6-8．Analysis of an Indeterminant Case180

Chapter 7．Arbitrary-function Generators187

7-1．Introduction187

7-2．Curve-follower Function Generator Using Resistanes Elements188

7-3．Photoformer-type Curve Following Function Generator189

7-4．Tapped-potentiometer Functiou Generators190

7-5．Diode Function Generators193

7-6．Special-purpose Function Generators198

7-7．Generation of Functions of Two Variables202

7-8．Improving the Accuracy of Diode Function Generators208

Chapter 3．General Theory of Operation of Computer Components214

8-1．Introduction214

8-2．The D-C Operational Amplifier214

8-3．Computer Controi Circuits223

8-4．Automatic Checking of Problem Setup227

8-5．Automatic Time-scale Checking228

8-6．Automatic-setup Procedures229

Index231