title: Use of linear programming to calculate dwell times for the design of petal tools.
abstract: Two constraints in the design of a petal tool are, the angles that define it must all be positive, and wear must never be greater than the desired wear. The first constraint is equivalent to that of the positive dwell times of a small solid tool. In view of this foregoing, we present a design of petal tools that are used to generate conic surfaces from their nearest spheres and that correct the profile of a surface that is polished. We study optimal angular sizes of a petal tool, which are found after we use linear programming to calculate the optimal dwell times of a set of complete annular tools placed in different zones of the glass surface. We report numerical results of designed petal tools.
authors.affiliation: Universidad Tecnológica de la Mixteca, Oaxaca, México. santiago@nuyoo.utm.mx
authors.forename: Agustin
authors.initials: A
authors.lastname: Santiago-Alvarado
authors.forename: Jorge
authors.initials: J
authors.lastname: González-García
authors.forename: Cuauhtémoc
authors.initials: C
authors.lastname: Castañeda-Roldan
authors.forename: Alberto
authors.initials: A
authors.lastname: Cordero-Dávila
authors.forename: Erika
authors.initials: E
authors.lastname: Vera-Díaz
authors.forename: Carlos Ignacio
authors.initials: CI
authors.lastname: Robledo-Sánchez