Use of linear programming to calculate dwell times for the design of petal tools

Autor:	Alberto Cordero-Dávila, Jorge González-García, Agustin Santiago-Alvarado, Carlos Robledo-Sanchez, Cuauhtémoc H. Castañeda-Roldán, Erika Vera-Díaz
Rok vydání:	2007
Předmět:	Surface (mathematics) Set (abstract data type) Optics Linear programming business.industry Computer science Materials Science (miscellaneous) Constraint (computer-aided design) Polishing Business and International Management business Industrial and Manufacturing Engineering
Zdroj:	Applied Optics. 46:4642
ISSN:	1539-4522 0003-6935
DOI:	10.1364/ao.46.004642
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be497c5e3f493a2d58c22b24b73275a2 https://doi.org/10.1364/ao.46.004642 Zobrazit plný text záznamu