ANALYSIS OF GENERAL DYNAMIC SYSTEMS INCLUDING ONE NONLINEAR ELEMENT

Abstract

A method is described for approximately determining the response of a nonlinear system to a wide variety of inputs. The method is applicable to systems with one essential nonlinearity whose mathematical relations are expressible by a standard type of block diagram, and in which the nonlinearity changes in a prescribed manner with time or depends on an independent signal, such as a grid voltage of a vacuum tube. The techniques which are involved include operational mathematics, numerical integration, and the graphical solution of algebraic equations. Examples of the method are included for a series-resonant circuit with a nonlinear inductor, an RC ladder network containing a diode, a torque-saturated servomechanism, and an RC network containing a diode. The accuracy which was considered adequate for engineering purposes is discussed.

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Document Details

Document Type
Technical Report
Publication Date
Dec 19, 1952
Accession Number
AD0016028

Entities

People

  • T. M. Stout

Organizations

  • University of Washington

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Circuits
  • Closed Loop Systems
  • Computations
  • Control Systems
  • Convolution Integrals
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Impedance
  • Integral Equations
  • Integrals
  • Networks
  • Resonant Circuits
  • Standards
  • Transfer Functions
  • Weighting Functions

Readers

  • Control Systems Engineering.
  • Electronics Engineering