First-excursion stochastic incremental dynamics methodology for hysteretic structural systems subject to seismic excitation

• First-excursion PDF-based stochastic incremental dynamics methodology. Threefold functional relation between the IMs and EDPs in conjunction with LSs. Efficient limit-state first-passage PDF estimates. Random vibration analysis alignment contemporary aseismic codes. Force-dependent system vibrational characteristics. A novel efficient methodology considering first-excursion probability for nonlinear structural systems subject to seismic excitations codes provisions is developed. To this aim, an approximate technique conducting density function (PDF) based dynamic Firstly, iterative linearization devised achieving convergence of equivalent damping ratios premises excitation response spectrum leading a coherent determination robust scalable intensity measure (IM) which bears direct its damaging potential. Subsequently, utilizing stochastically derived time-varying forced properties combination deterministic averaging treatment efficiently determined each every considered rules (LSs). Lastly, mechanization analogous one used normal (IDA) proposed ensure necessary compatibility applications fields earthquake engineering. The back-and-forth twisting pattern IDA curves related multiple points satisfaction very same rule encourages study problem from perspective timing addition variable. selected engineering demand parameter (EDP) time constitutes excellent variable twofold meaning; it performs behavior monitoring information whereas inherently coupled requirements. developed provides reliable higher order statistics (i.e., PDF) chosen EDP. comprising bilinear hysteretic model serves as numerical example demonstrating reliability Nonlinear time-history involving large ensemble Eurocode 8 compatible accelerograms conducted assess accuracy Monte Carlo-based context.