A damage-based evaluation of probability density distribution for rain-flow ranges from random processes

A new method is proposed for the evaluation of a single Weibull distribution approximating the cycles turning out from the rain-flow counting of a random process. The founding hypothesis is a multi-modal distribution assumption, i.e. the probability density is a linear combination of several Weibull distributions; thus a simplified evaluation of a single distribution is proposed as an approximation of the most damaging part of the counted cycles instead of the most frequent range occurrences.