A method and apparatus for machining parts with variable stiffness includes determining, by a controller, a chatter-lobe plot of a cutter assembly. A preliminary tool path is developed by the controller. Virtual machining of a blank part using the preliminary tool path is performed by the controller. A chatter-lobe plot of the virtually machined part is determined by the controller. A dynamic chatter-lobe plot using the chatter-lobe plot of the cutting tool assembly and the chatter-lobe plot of the virtually machined part is determined by the controller. A chatter-free rotational speed of the cutting tool from the dynamic chatter-lobe plot is determined by the controller. A machining apparatus, controlled by the controller, uses the determined chatter-free rotational speed of the cutting tool to machine a blank part.