Dynamic response analysis of stochastic frame structures under nonstationary random excitation

A new method (random factor method) for the dynamic response analysis of linear stochastic frame structures under nonstationary random excitation is presented. From the expressions of structural random response of the frequency domain, the computational expressions of the mean value, variance, and variation coefficient of the mean square value of the structural nonstationary random displacement and stress response are developed by means of the random variable's functional moment method and the algebra synthesis method, in which the randomness of the structural physical parameters is considered. The influences of the randomness of the structural physical parameters on the randomness of the mean square value of the structural displacement and stress response are inspected via an engineering example.