Abstract
This paper aims at quantifying the influence of the uncertainty associated with the natural circular frequency and damping factor. The theoretical analysis dealt with the stationary random process of the SDOF system under the assumption that the natural circular frequency and damping factor are independent and uniformly distributed. Then the influences of the fluctuation of these parameters were quantified for some probabilistic indices. Numerical means was also used to investigate in detail the distribution of amplitude. It was found that the distribution is quite similar to the contaminated Gaussian distribution.
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