LOCATION: UPV/EHU

Abstract
Turbine blades and other aircraft components are usually manufactured by 5-axis flank CNC machining, in which a cutting tool removes material from the workpiece leaving behind an envelope swept by a rotational symmetric rigid body. In the talk I will recall the classical theory of envelopes, and I will present two results about the regularity of envelopes depending on the smoothness of motion and cutting tool profile. In general, we need two derivatives to get some regularity, but we will see that even after dropping derivatives at some points, the envelope can still retain some smoothness.

Joint work with Michael Bartoň and Michal Bizzarri.

More info at https://sites.google.com/view/apdebilbao/home