Probabilistic fatigue and mixing limit evaluation and visualization method for airfoil

A method of analyzing a hybrid airfoil, the method comprising: generating a plurality of simulated hybrid airfoil designs, each simulated hybrid airfoil design comprising one of a plurality of hybrid geometries; based on the inherent frequency, the modal force and the Goodman scale factor, training a proxy model representing the design of a plurality of simulated hybrid airfoils; in response to one or more modes of vibration, a likelihood of operational failure of each of the plurality of hybrid airfoil designs is determined, which of the plurality of simulated hybrid airfoil designs violates at least one aeronautical mechanical constraint is determined and a hybrid parameter visualization is generated, the hybrid parameter visualization including a hybrid design space, where the hybrid design space includes a plurality of simulated hybrid airfoil designs that violate at least one aeronautical mechanical constraint. Wherein the hybrid design space includes one or more restricted regions indicative of a hybrid