Electrical Analogy Methods Applied to Servomechanism Problems

Abstract

This paper describes the application of the transient analyzer to the solution of servomechanism problems by the electrical-mechanical analogy method. The analogies for angular position servomechanisms are developed in detail together with the fundamental concepts by which the systems can be defined in terms of dimensionless parameters. This permits the results to be given in dimensionless form suitable for general application. Typical solutions of representative systems are given in the form of transient response curves. These show the response characteristics for suddenly applied constant velocity and sinusoidal motion. Also shown are the effects of varying the controlling parameters of the system including the stiffness constant, one, two, and three time delays, and methods of producing system stability including negative RC feedback and anticipatory control. A method is developed for setting up the analogy for a specific system on the transient analyzer by a suitable change in time and impedance bases.