Analogue Computing Methods

Analogue Computing Methods

The Commonwealth and International Library: Applied Electricity and Electronics Division

1st Edition - January 1, 1965

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  • Author: D. Welbourne
  • eBook ISBN: 9781483147567

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Description

Analogue Computing Methods presents the field of analogue computation and simulation in a compact and convenient form, providing an outline of models and analogues that have been produced to solve physical problems for the engineer and how to use and program the electronic analogue computer. This book consists of six chapters. The first chapter provides an introduction to analogue computation and discusses certain mathematical techniques. The electronic equipment of an analogue computer is covered in Chapter 2, while its use to solve simple problems, including the method of scaling is elaborated in Chapter 3. Chapter 4 describes the general layout of a computer with specifications of selected commercial computers. In Chapter 5, the use of a large computer is elaborated through a reactor simulation. The last chapter outlines particular general analogue devices. Conductive analogues and other methods and special techniques, which have been used in connection with electronic analogue computing, are also deliberated in this text. This publication is valuable to students and individuals conducting work on analogue computing.

Table of Contents


  • Preface

    Chapter 1 Introduction and Mathematical Techniques

    Introduction

    Analogue and Digital Computing Machines

    Historical

    Mathematical Techniques

    The Laplace Transform

    The Transfer Function

    Electrical Impedance

    Kirchhoff's Laws

    Vectors and Scalars

    Separation of Variables

    Finite Differences

    Lagrange Coefficients

    Matrices

    Determinants

    Eigenvalues and Eigenfunctions

    References

    Chapter 2 Electronic Analogue Equipment

    The Amplifier

    The D.C. Amplifier

    Basic Relay Controls of the Amplifier

    Errors of the Simple Amplifier

    The Chopper Stabilized Amplifier

    Error Analysis

    Errors of Summers and Integrators

    Multipliers

    The Coefficient Potentiometer

    The Servo-multiplier

    Crossed-field Multipliers

    Hall Effect Multipliers

    Quarter-squares Multipliers

    Time-division Multipliers

    Diode Function Generators and Limiters

    Resolvers

    Noise Generators

    Other Function Generators

    References

    Chapter 3 Scaling and Applications

    Introduction

    Scaling

    Summer and Integrator Scaling

    Time Scaling

    Multiplier Scaling

    A Worked Example

    A Small Problem

    Estimate of Maximum Values

    Methods of Solution

    Some Standard Circuits

    Chapter 4 Computers and Associated Equipment

    General Design of a Computer

    Patchboard

    Control

    Measurement

    Recorders and Readout

    Overload Indicators and Alarms

    Maintenance

    Some Typical Computers

    The Pace Systems TR-10

    The Solartron SC-30

    The Pace Systems 231-R

    The English Electric Saturn

    Royal Aircraft Establishment Tridac

    References

    Chapter 5 Application of Large Analogue Computers

    A Nuclear Reactor Simulation—An Example

    The Physical System

    Approximations

    Description of the Equations

    General Procedure for Preparing a Simulation

    Simulation Circuits

    Physical Data

    Patching and Setting up

    Procedure on the Machine

    Program of Work

    Some Typical Simulation Results

    Examples of the Use of Large Analogue Computers

    The Nuclear Power Industry

    Aircraft Simulation

    Missile Systems

    Process Control

    Control Engineering

    References

    Chapter 6 General Analogue Devices

    The Differential Analyzer

    Set-up of a Differential Analyzer

    The Incremental Computer

    Conductive Analogues

    Resistance Sheets

    The Electrolytic Tank

    Resistance Meshes

    Extensions of the Single Resistance Mesh

    Resistance-Reactance and Other Meshes

    Some Special Applications

    Monte Carlo Methods

    The Adjoint Method

    Operational Research

    References

    Index

Product details

  • No. of pages: 150
  • Language: English
  • Copyright: © Pergamon 1965
  • Published: January 1, 1965
  • Imprint: Pergamon
  • eBook ISBN: 9781483147567

About the Author

D. Welbourne

About the Editor

P. Hammond

Affiliations and Expertise

University of Southampton

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