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Showing papers by "Alberto Cordero-Dávila published in 2006"


Journal ArticleDOI
TL;DR: The desired wear results carried out with the petal tool that was designed on the basis of the dwell times of complete annular tools, which are presented as a guide for future designs of petal tools.
Abstract: To pass from a spherical surface to a conic one, it is possible to use a petal tool or a small solid tool that is placed at different time intervals at several radial zones of the glass. Genetic algorithms are applied to calculate the angular sizes of the incomplete annular tools that make up the petal tools. We also present the desired wear results carried out with the petal tool that was designed on the basis of the dwell times of complete annular tools. These dwell times are calculated by using base functions that are generated with annular tools and by applying the genetic algorithms.

12 citations


Proceedings ArticleDOI
31 Jan 2006
TL;DR: In this article, the wear of an incomplete ring is directly proportional to its angular size, independently from the mean radius of the ring, and an algorithm for the calculation of the wear produced by free-pinned petal tools is presented.
Abstract: The wear produced by free-pinned tools is difficult calculate, since their angular movement is not entirely predictable. First, 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 its angular size, independently from the mean radius of the ring. Second, we present an algorithm for the calculation of the wear produced by free-pinned petal tools, since they can be considered as a linear combination of incomplete free-pinned ring tools. Finally, we apply this result to the enhancement of a defective flat surface and to aspherate a concave spherical surface.