A NUMERICAL PROCEDURE FOR SHOCK AND FOURIER ANALYSIS

Abstract

This paper describes and derives a numerical integration technique presently being used at NRL for problems in structural dynamics. The method is capable of computing damped and undamped shock spectra, Fourier sine, cosine, and regular Fourier integrals (frequency response from transient response, and the inversion of the Fourier sine and cosine Integrals (transient response from frequency response). It can also be used to calculate Fourier series coefficients, and for the numerical solution of nonlinear equations. Several examples are worked out in detail and some others calculated by NAREC (NRL's digital computer) are shown to present some idea of the precision of the method. This report does not assume a sophisticated mathematical background and uses only those techniques which are available to undergraduate student in engineering.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 05, 1962
Accession Number
AD0277411

Entities

People

  • G. J. O'hara

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computations
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Fourier Analysis
  • Fourier Series
  • Frequency
  • Integrals
  • Interpolation
  • Intervals
  • Iterations
  • Linear Systems
  • Mathematical Analysis
  • Shock Response Spectra
  • Theorems
  • Vibration

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Technical Research and Report Writing.