Method for machining elements with non-circular cross section, in particular for axial couplings for mechanical connection, and coupling made applying said method

A method for the turning of elements for axial couplings with non-circular cross section in an apparatus for machining elements for axial couplings for mechanical connections, with non-circular cross section, comprising:

• a work spindle having a rotational axis and fitted on the shaft of a rotation actuator;
• a tool engaging a guide both along an axis perpendicular to the rotational axis of the spindle and along an axis parallel to the rotational axis of the spindle;
• a sliding actuator for displacement of said tool on said guide;
• and a central control unit connected to said sliding actuator of said tool and to rotation actuator of said spindle, and a program, supervising turning of a side coupling surface of said elements for axial coupling for angular connection;
• the method comprising the steps of:
• defining a cross section profile of each of said elements, on the basis of non-circular parametric trochoidal three-lobed curves;
• parameterizing the equation of the selected non-circular parametric trochoidal three-lobed curve, by dimensional parameters of said element;
• processing position data of the tool for turning with respect to said element according to an angular position of the tool, in relation to a given cross-sectional plane;
• synchronizing rotation of the spindle for supporting said element with the displacements of said tool on said plane;
• and
• further synchronizing the displacements of said tool with respect to an axis perpendicular to said plane.