Generación de Trayectorias de Corte para Engranaje Cónico de Diente Recto en Máquina de Propósito General con Herramienta de Punta Plana.

Abstract

A straight bevel gear was manufactured in a FINETECH® GTX-210 general purpose vertical machining center with five degrees of freedom. A non-spherical standard tool was used and its trajectories were generated through the parametric equation using MATLAB®. Applying fundamental concepts of differential geometry an orthonormal coordinate system was established at a point over the surface of the bevel gear tooth, and with respect to it, the tool was positioned tangentially to the surface in order to avoid any interference. Subsequently, rotation matrices were used to transform the trajectories of the tooth surface domain to the machine coordinate system domain. The G code for the machine numerical control, was also assembled using MATLAB®. A virtual machine, identical to the vertical machining center, was used in the NX® manufacturing module to verify the generated trajectories and avoid collisions between the technological setup components. In order to ensure the proper functioning of the planned process, the geometry was manufactured using test material. The main result is the alternative for obtaining unique pieces, prototypes, new gear profiles, spare parts or small batch parts with complex geometry, based on the surface parametric equations.