Comparison of Several Methods for Obtaining the Time Response of Linear Systems to Either a Unit Impulse or Arbitrary Input From Frequency-Response Data

Abstract

Several methods of obtaining the time response of linear systems to either a unit impulse or an arbitrary input from frequency-response data are described and compared. Comparisons indicate that all the methods give good accuracy when applied to a second-order system; the main difference is the required computing time. Several of the methods when applied to higher order systems require excessive computing time in order to obtain the same degree of accuracy. The methods generally classified as inverse Laplace transform methods were found to be most effective in determining the response to a unit impulse from frequency-response data of higher order systems. Some discussion and examples are given of the use of the methods as flight-data-analysis techniques in predicting loads and motions of a flexible aircraft on the basis of simple calculations when the aircraft frequency response is known.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1956
Accession Number
ADA380502

Entities

People

  • Carl R. Huss
  • James J. Donegan

Organizations

  • National Aeronautics and Space Administration

Tags

DTIC Thesaurus Topics

  • Aircrafts
  • Curve Fitting
  • Data Analysis
  • Equations
  • Fourier Series
  • Frequency
  • Frequency Response
  • Integrals
  • Linear Systems
  • Numerical Analysis
  • Numerical Integration
  • Resonant Frequency
  • Square Waves
  • Swept Wings
  • Time Intervals
  • Transfer Functions
  • Waves

Readers

  • Approximation Theory.
  • Control Systems Engineering.