Feasibility of Predicting Airblast-Induced Ground Motions by the Statistical Analysis of Fourier Transforms Calculated from Measured Nuclear and Hest Time-Histories. Volume I

An investigation into the possibility of applying statistical analysis of the Fourier transforms of airblast-induced ground motion time-histories in order to predict the most probable spectral characteristics of the motions in terms of known independent variables is presented. The various analytical...

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Bibliographic Details
Main Authors: Calcaterra, Peter C, Cavanaugh, Richard D
Format: Report
Language:English
Subjects:
ANALYSIS OF VARIANCE
BLAST
CONFIDENCE LIMITS
CORRELATION TECHNIQUES
DATA SMOOTHING
EXPLOSION EFFECTS
FEASIBILITY STUDIES
FOURIER TRANSFORMATION
HARMONIC ANALYSIS
HEST(HIGH EXPLOSIVE SIMULATION TECHNIQUE)
HIGH EXPLOSIVES
INTEGRAL TRANSFORMS
MATHEMATICAL PREDICTION
MOTION
NUCLEAR EXPLOSIONS
POWER SPECTRA
PRESSURE
REGRESSION ANALYSIS
SEISMIC WAVES
SHOCK WAVES
SIMULATION
SPECTRUM ANALYSIS
Structural Engineering and Building Technology
UNDERGROUND STRUCTURES
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Summary:An investigation into the possibility of applying statistical analysis of the Fourier transforms of airblast-induced ground motion time-histories in order to predict the most probable spectral characteristics of the motions in terms of known independent variables is presented. The various analytical and empirical procedures used in the development of the prediction technique are discussed. A model Fourier transform equation is postulated to fit actual transforms calculated from measured nuclear and HEST test time-histories. Constants in the model transform equation are found so that the postulated spectra is made to fit the actual spectra for each measured time-history. A set of regression equations using peak overpressure, pressure-impulse, depth and seismic velocity as the independent variables are derived. A linear regression analysis is conducted to calculate new constants for the model spectra which have a mean squared error when compared to the constants fitted to each actual spectra. A statistical analysis of the model Fourier transform constants so calculated is conducted to determine the 95 percent confidence limits on the population mean, variance, and regression and correlation coefficients. Equations are derived for the vertical acceleration, velocity and displacement of the free-field airblast-induced ground motions based on the predicted most probable Fourier transform of the motions. Application of the transform and time-history equations is discussed in terms of an example. (Author)