Turbogenerator coil retaining rings (CRRs) are shrunk fitted onto the rotor over the coils, in order to restrain them against the centrifugal force. They are typically subjected to low cycle fatigue (LCF): a cycle is completed at every machine switch-on and switch-off, for a total amount of 10,000-15,000 cycles in the whole life. Incidents caused by unexpected failures may lead to very serious consequences, consisting in fire and explosion. For this reason, the conventional deterministic calculations must be combined to probabilistic simulations for the estimation of the probability of failure at the main life stages. The widely applied Monte Carlo method has the drawback of being computationally expensive in the estimation of very low prob...