MODELLING AND SIMULATION 1

Laboratory Objective 2

EXPERIMENT #1: Introduction to Analog Computers 4

Review of Solutions of Linear Ordinary Differential Equations 11

EXPERIMENT # 2: Basic Operations of the Analog Computer 13

EXPERIMENT # 3: Analog Simulation of a First Order System (RC Circuit) 16

EXPERIMENT # 4: Analog Simulation of a Second Order Mass-Spring Mechanical System 18

Experiment #5: Function Generation Using the Analog Computer 20

Experiment #6: Analog Simulation of a System of Coupled Masses 22

Experiment 7 : Introduction to Digital Computer Simulation (MATLAB & SIMULINK) 24

Experiment 8: MATLAB m-files and their use in system simulation. 31

Experiment # 9: Simulation of systems having relative displacements with other moving body 34

Experiment # 10: Simulation of systems represented by state variable model 36

Introduction 38

Part 1: 38

Part 2: 38

Part 3: 38

In this laboratory course, we will be using the COMDYNA, GP-6 Analog computers that are available in the Systems Engineering Department. The GP-6 is a general purpose analog computer. It contains linear and .nonlinear components. The linear part contains panels for summers, integrators, inverters and attenuators; while the nonlinear part contains multipliers, square-root generators and other components. The GP-6 has a linear range of +10 to -10 volts shown as +1 to -1 unit on the display panel.