Abstract
The extreme peak is defined as the largest value of all peaks which one may encounter in a random process in stochastic structural dynamics analysis. The probability distribution and its statistical quantities of the extreme peak are very important to a structural engineer. In the present paper, order statistics and asymptotic theory of statistical extremes are applied directly to the peak distribution function of a stationary random process in order to find the probability distribution of the extreme peak within a time interval. The extreme peak distribution of a random process obtained from this approach is compared with results from some classical papers. It is concluded that the present approach can be applied not only to a narrow-band process but also to a wide-band process for which the classical papers used several approximations to find approximate results. After the extreme peak distribution is obtained, the present paper will also illustrate its possible applications in aerospace engineering, ocean engineering, wind engineering, and many other structural engineering fields.
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