Method for operating a component that is cyclically loaded during operation

A method for operating a component of predetermined geometry Ω that is cyclically loaded during operation, comprising:

• determining a probability of failure P for the component taking account of distributions of failure times, which are caused by deviations in material properties,
• operating the component depending on the determined probability of failure P, wherein at least one maintenance time is set for the component, depending on the determined probability of failure P,
• wherein the probability of failure P is determined taking additional account of distributions of failure times, which are caused by deviations of the component form from a standard geometry,
• wherein data that were obtained by determining the geometry of a predetermined number of representative components by metrology are resorted to for the purposes of taking account of the form deviation from the standard geometry,
• wherein the probability of failure P is determined according to the formula
• P
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• σ
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• with the coordinate vector X of all nodes of the finite element model of the geometry Ω of the component, the discretized objective functional J(X)=J(X,U(X)) for LCF (low cycle fatigue) or for another fault mechanism, the number of load cycles t, a form parameter of the Weibull distribution m, the error function, which is the distribution function of the standard normal distribution Φ(t), and with J=J(Xd), where Xd is the standard position of the nodes in the standard geometry, and with ΔJ=(dJ/dX)′ΔX with the mean process deviation ΔX and with σ2=(dJ/dX)′C(dJ/dX) with the process distribution C.