FOURIER ANALYSIS OF AN EXPONENTIAL APPROXIMATION FOR A NUCLEAR BLAST PRESSURE PULSE.
Abstract
An approximate mathematical representation for a true nuclear blast pressure pulse is given. The approximation uses a simple decaying-exponential function, whereas the true curve has been given as the sum of three exponentials. A Fourier continuous spectrum frequency distribution function is calculated for the approximate pressure pulse. By the arbitrary selection of a point on the spectral density curve where the magnitude is down to 0.1 percent of the maximum, a measure of the bandwidth required of pressure transducers is obtained. For a typical approximation to the pressure pulse, the bandwidth requirement is shown to be 2.5 kHz. The results indicate that low-frequency response, from zero (dc) to a few tens of Hz, is most critical. Further, as the pressure pulse becomes narrower and of greater amplitude, the bandwidth requirement is seen to increase. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1968
- Accession Number
- AD0838882
Entities
People
- Joseph J. Blum
Organizations
- Air Force Special Weapons Center