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, mounted on a class of nonlinear viscoelastic structures owing to a severe earthquake. The nonlinear properties of the structures are modeled in terms of an equation of motion which linearly involves the auxiliary variable as part of the restoring force and the auxiliary equation which describes a nonlinear relationship between the auxiliary variable and the structural response. Total equations including the auxiliary equation are linearized using a stochastic linearization technique. Then executing the statistical calculation to obtain the non-stationary variance relating to relative displacement of secondary system and utilizing a newly proposed idea to estimate the extreme value, finally the stochastic floor response spectra can be derived. The analytical results are compared with those by Monte Carlo simulation.
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