In this paper a novel non-iterative approach is proposed to address the problem of derivingnon-stationary stochastic processes which are compatible in the mean sense with a given (target) response(uniform hazard) spectrum (UHS) as commonly desired in the aseismic structural design regulated bycontemporary codes of practice. This is accomplished by solving a standard over-determinedminimization problem in conjunction with appropriate median peak factors. These factors are determinedby a plethora of reported new Monte Carlo studies which on their own possess considerable stochasticdynamics merit. In the proposed approach, generation and treatment of samples of the processesindividually on a deterministic basis is not required as is the case with the various approaches found inthe literature addressing the herein considered task. The applicability and usefulness of the approach isdemonstrated by furnishing extensive numerical data associated with the elastic design UHS of the currentEuropean (EC8) and the Chinese (GB 50011) aseismic code provisions. Purposely, simple and thusattractive from a practical viewpoint, uniformly modulated processes assuming either the Kanai-Tajimi (KT)or the Clough-Penzien (C-P) spectral form are employed. The Monte Carlo studies yield damping andduration dependent median peak factor spectra, given in a polynomial form, associated with the firstpassage problem for UHS compatible K-T and C-P uniformly modulated stochastic processes. Hopefully,the herein derived stochastic processes and median peak factor spectra can be used to facilitate theaseismic design of structures regulated by contemporary code provisions in a Monte Carlo simulation basedor stochastic dynamics-based context of analysis.
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