title: Correction of the Preston equation for low speeds.
abstract: According to Preston [J. Soc. Glass Technol. 11, 214 (1927)], the wear on a glass point in the polishing process is proportional to the work given by frictional force between glass and tool. He supposed that the frictional coefficient is a constant value. To verify this hypothesis, we measured the dragging forces applied to a tool as a function of the relative speed between a rotating glass and the tool center. To reproduce these experimental results, it was necessary to propose a new model, for which the frictional coefficient has a Gaussian dependence with relative speed. Therefore the wearing Preston equation has to be modified in order to include the frictional coefficient as a function of the relative speed.
authors.affiliation: Preparatoria Alfonso Calderón Moreno of Benemérita Universidad Autónoma de Puebla, Apartado Postal 1152, Puebla, México. est132@fcfm.buap.mx
authors.forename: Leonardo
authors.initials: L
authors.lastname: Téllez-Arriaga
authors.forename: Alberto
authors.initials: A
authors.lastname: Cordero-Dávila
authors.forename: Carlos Ignacio
authors.initials: CI
authors.lastname: Robledo-Sánchez
authors.forename: Jorge
authors.initials: J
authors.lastname: Cuautle-Cortés