title: Experimental results and wear predictions of petal tools that freely rotate.
abstract: 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.
authors.affiliation: Taller de Optica de la Facultad de Ciencias Físico-Matemáticas, Benemérita Universidad Autónoma de Puebla, Apartado Postal 1152, 72000 Puebla, Puebla, México.
authors.forename: Alberto
authors.initials: A
authors.lastname: Cordero-Dávila
authors.forename: Víctor
authors.initials: V
authors.lastname: Cabrera-Peláez
authors.forename: Jorge
authors.initials: J
authors.lastname: Cuautle-Cortés
authors.forename: Jorge
authors.initials: J
authors.lastname: González-García
authors.forename: Carlos
authors.initials: C
authors.lastname: Robledo-Sánchez
authors.forename: Nazario
authors.initials: N
authors.lastname: Bautista-Elivar