
Accession Number : AD0744416
Title : Filtered Poisson Process for Random Vibration Problems.
Descriptive Note : Technical rept.,
Corporate Author : WATERVLIET ARSENAL N Y
Personal Author(s) : Racicot,Ronald ; Moses,Fred
Report Date : JUN 1972
Pagination or Media Count : 22
Abstract : The problem considered is the probability of failure analysis of structures excited by randomly varying dynamic forces. A solution is given for the random filtered Poisson process model which has often been proposed to characterize dynamic forces associated with superposition of pulses including random wind, earthquake and highway vehicle loadings. A numerical procedure using the familiar Fourier series technique is used for inverting the characteristic functions of a Poisson process. This gave univariate and bivariate probability density distributions and crossing rates for the timevarying stress or deflection of a single degreeoffreedom system excited by forces described by the Poisson process. A new method for finding firstpassage probabilities is also employed which is applicable to both Gaussian and Poisson processes and has been verified by simulation. A specific application is given for wind loaded structures. (Author)
Descriptors : (*STRUCTURES, VIBRATION), FAILURE(MECHANICS), STABILITY, STRESSES, RANDOM VARIABLES, STATISTICAL PROCESSES, GUST LOADS, EARTHQUAKES, PROBABILITY DENSITY FUNCTIONS
Subject Categories : Structural Engineering and Building Technology
Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE