Grinding machine and method for machining a workpiece

A method for machining a workpiece by a grinding machine comprising:

• a spindle arranged for rotating the workpiece around and translated along a first axis, a first abrasive wheel arranged to rotate around a second axis and to translate along a third axis oblique or perpendicular to the second axis, such as to machine a peripheral portion of the workpiece, and a guiding support spaced distally from said spindle along the first axis and arranged for slidingly supporting an end of the workpiece;
• the method comprising the step of:
• rotating the workpiece around the first axis and translating the workpiece along the first axis toward the guiding support so as to distally extend a portion of the workpiece from the guiding support;
• and simultaneously
• rotating the first abrasive wheel around the second axis and translating the first abrasive wheel along the third axis such that the first abrasive wheel machines said peripheral portion of the workpiece;
• wherein the first abrasive wheel is translated along the third axis;
• and
• wherein a position in translation of the first abrasive wheel along the third axis is determined as a function of
• a position of the workpiece along the first axis, and
• an angular position of the workpiece around the first axis.