the rotational speed or the circumferential speed respectively of the accelerating ring 12 is chosen in relation to the circumferential speed of the friction drive drum 9 such that the thread tension during the bobbin tube change is substantially maintained while the thread reserve is formed and the thread traversing motion is thus necessarily interrupted i e the circumferential speed of the accelerating ring 12 must exceed the circumferential speed v u fig4 of the friction drive drum 9 by the amount u03b4v in such manner that the thread take up speed v f effective during the winding process owing to the thread traversing speed v ch is also maintained during the bobbin tube exchange operation during which the thread is not traversed to and fro the accelerating ring 12 is arranged with respect to the friction drive drum 9 in such a manner that its circumference 18 extends beyond the circumference 19 of the friction drive drum 9 at a zone or region designated by reference character a in fig1 within which zone a the empty tube 8 fig3 is accelerated and furthermore that the previously mentioned enlarged portion of the circumference 18 however is zero at a point designated by reference character b in fig1 and subsequently the circumference 18 of the accelerating ring 12 becomes less than the circumference 19 of the friction drive drum 9 at a point designated by reference character c in fig1 this point or location c corresponds to the point of contact of the tube 8 with the friction drive drum 9 while the pivotable arm 6 is in its winding position the point or location b where the empty tube 8 simultaneously contacts the circumference 18 of the accelerating ring 12 and the circumference 19 of the.