Dynamic reliability analysis of stochastic truss structures under stationary random excitation

A method of calculating dynamic reliability of stochastictruss structures under stationary random excitation is discussed in thispaper. Considering the randomness of the structural physical parameters andthe geometric dimensions parameters and utilizing the random variable'sfunctional moment method and the algebra synthesis method, the mean valueand the variance of the mean square value of the structural displacement andstress response and stationary random excitation are computed firstly fromthe expressions of structural stationary response in frequency domain. Andthen the expressions of the mean value and the variance of stochastic trussstructural dynamic reliability are educed from the Poisson formula ofcalculating dynamic reliability. Finally, the influence of the random ofstructural physical and geometric dimensions parameters on the structuraldynamic reliability is analyzed through the examples, validating thefeasibility of this method.