A GRAPHICAL-NUMERICAL METHOD FOR THE TRANSIENT RESPONSE OF NONLINEAR SYSTEMS

Abstract

A graphical-numerical method is developed for determining the response of nonlinear systems subjected to transient loads. The method consists of constructing phase-plane trajectories in conjunction with simple computations. The numerical equivalent procedure of the graphicalnumerical method is derived and a scaling law is presented for nonlinear multi-degree-of-freedom systems. Example problems are solved by the graphical-numerical method and the solutions compared with those of an analog computer at NRL. The solution of an example problem by both the graphical-numerical method and the numerical equivalent method indicates that the drawing error due to the graphical construction technique is negligible. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 13, 1962
Accession Number
AD0277930

Entities

People

  • P.f. Cunniff

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analog Computers
  • Computations
  • Computers
  • Computing Devices
  • Construction
  • Nonlinear Systems
  • Scaling Laws
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.