RESPONSE OF A LINEAR DAMPED DYNAMIC SYSTEM TO SELECTED ACCELERATION INPUTS

Abstract

The general theory is developed for the response of a single degree of freedom dynamic system to an arbitrary acceleration forcing function. Closed-form solutions are obtained for a variety of discrete pulse shapes using the method of Laplace transforms and the form of the solutions indicated for oscillatory inputs and semiinfinite ramps, in terms of complex Fourier series. A comparison of base and mass excitation of the system is included. In previously published work on this subject, analytical solutions are in general only given for undamped systems; an exception is the response to a sinewave, which appears in many standard tests. The dynamic analysis of the human body usually considers models involving damping, so that in this area there is a definite need for the estensions given.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0616643

Entities

People

  • Peter R. Payne
  • Stanley Barrett

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Amplification
  • Biomedical Research
  • Convolution Integrals
  • Corporations
  • Dynamic Response
  • Engineering
  • Equations
  • Fourier Series
  • Frequency
  • Government Procurement
  • Governments
  • Human Body
  • Linear Systems
  • Periodic Functions
  • Standards
  • Vibration
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.