The Kinematic Model of Formation of Complex Surfaces with Three None Linear Movements Forming

Abstract

In the modern mechanical engineering when processing stamps and compression molds milling used as one of the most productive and universal methods of processing. Productivity of milling is caused by high concentration of the cutting edges which are at the same time participating in process of cutting and a possibility of non-linear coordination between separate movements. But when milling difficult shaped surfaces the problems connected to large volumes of the deleted metal layers that leads in fast wear of the tool and poor performance of processing
take place.
Use of multicoordinate machines with numerical-program control allowed to use in processing of shaped surfaces difficult kinematics with non-linear coordintion of movements on several coordinates at the same time, but opportunities are used by it insufficiently.
In article the most known methods of a running with non-linear movement of a shaping are considered. The universal, high-performance method of processing of difficult curvilinear surfaces which is realized by the tool with two conical and toroidal surfaces is selected, process of a running in of a difficult profile is described by a combined tool. The kinematic model of coordination for kinematic schemes with three non-linear it is coordinated by the movements lying in one plane is provided and also three types of coordination of movement are selected. The first – serves for processing of a concave arc section of a surface in case of value of an angle of generatrixs
of the tool α < β – an angle between tangents to the opposite sides of a profile of a processed surface in points of their conjugation to concave sections of a profile. The second type of coordination is applied to processing of convex and rectilinear sections of profiles by method of rounding of a generatrix without slip (р = 1) and with slip of p, constant on value, p = const. The third type of coordination is used only when processing sections of a processed surface near points of conjugations of profiles in case of value of an angle between tangents in points of conjugations less than 90°.