Abstract
The purpose of this paper is to propose one analytical method to make stochastic floor response spectra in order to easily estimate the dynamic characteristics of secondary system such as piping, equipment and so on, under the stochastic non-stationary excitation and model uncertainty. Applying the transition matrix method with state space to the secondary system mounted on main structure, the non-stationary standard deviation of absolute acceleration response relating to the secondary system is obtained under the assumption of no structural uncertain properties. Then, finally, in order to obtain the statistical results of response in consideration of model uncertainty, through combining the extreme value theory, FOSM(First Order Second Moment) method and ACO(Ant Colony Optimization) algorithm, the floor response spectra can be stochastically derived. This proposed floor response spectra may be called the Stochastic Floor Response Spectra. The analytical results are compared with those by Monte Carlo simulation, and show the accuracy and efficiency.
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