In this study, the vibrational behavior of a system supporting large-scale structures that are subjected to multiple random inputs is investigated based on probabilistic vibration theory. The analytical model (FEM) of a system that is subjected to white noise is constructed first. Pipings are assumed to be supported by a nonlinear elastoplastic damper. The vibrational behavior of the structures subjected to multiple random inputs is calculated via numerical simulations. After calculating the stress, energy absorption, etc., the dynamic reliability is calculated based on random theory. Finally, the effects of the supporting location and supporting capacity on the dynamic reliability are investigated.

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