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Abstract
This paper investigates the nonstationary random excitations with a constraint on mean square value such that the response variance of a given linear system is minimized. It is also possible to incorporate the dominant input frequency into the analysis. The excitation is taken to be the product of a deterministic enveloping function and a zero mean Gaussian nonstationary random process. The power spectral density function of this process is determined such that the response variance is minimized. The numerical results are presented for multi-degree freedom system and modeled to predict the behavior of the gate of dike Structure under random water loading.
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