Technological definitions: aeronautical products and CNC machining processes. Digital/virtual machining. Study of advanced machining problems in the aeronautical industry. Machinability of specific materials: light alloys (Al, Mg, Ti), alloy steels, Ni alloys. Analytical models for process simulation: mechanics, dynamics, kinematics of turning, milling and drilling. Chip thickness, cutting forces. Dimensional errors and compensation: static and dynamic deviations of the tool and the workpiece. Structural vibrations during machining. Analytical and experimental modal analysis of machine tools. Dynamics and stability (chatter) of machining: orthogonal cutting, turning and milling. Selection of machining parameters: high and low speed machining. Damping of the machining process. Methods of suppression of machining vibrations. Experimental analysis of machining. Methods of vibration avoidance in machining. Particularities of the manufacture of aircraft engine parts.