It is difficult to calculate the wear produced by free-pinned tools because their angular movement is not entirely predictable. We analyze the wear produced with free-pinned ring tools, using both simulations and experiments. We conclude that the wear of an incomplete ring is directly proportional to the ring's angular size, independently of the mean radius of the ring. We present an algorithm for calculation of the wear produced by free-pinned petal tools, as they can be considered a linear combination of incomplete free-pinned ring tools. Finally, we apply this result to the enhancement of a defective flat surface and to making a concave spheric surface.
© 2005 Optical Society of America
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.4610) Optical design and fabrication : Optical fabrication
(220.5450) Optical design and fabrication : Polishing
Alberto Cordero-Dávila, Víctor Cabrera-Peláez, Jorge Cuautle-Cortés, Jorge González-García, Carlos Robledo-Sánchez, and Nazario Bautista-Elivar, "Experimental results and wear predictions of petal tools that freely rotate," Appl. Opt. 44, 1434-1441 (2005)