Accession Number : AD0838882

Title :   FOURIER ANALYSIS OF AN EXPONENTIAL APPROXIMATION FOR A NUCLEAR BLAST PRESSURE PULSE.

Descriptive Note : Technical rept. 10 Jun-30 Jul 68,

Corporate Author : AIR FORCE SPECIAL WEAPONS CENTER KIRTLAND AFB NM

Personal Author(s) : Blum, Joseph J.

Report Date : AUG 1968

Pagination or Media Count : 29

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)

Descriptors :   (*NUCLEAR EXPLOSIONS, BLAST), (*SHOCK WAVES, NUCLEAR EXPLOSIONS), HIGH ALTITUDE, TRANSDUCERS, PRESSURE, POWER SPECTRA, BANDWIDTH, SIMULATION, FOURIER ANALYSIS, HARMONIC ANALYSIS, INTEGRAL TRANSFORMS, EXPONENTIAL FUNCTIONS, APPROXIMATION(MATHEMATICS), SERIES(MATHEMATICS).

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE