A method for winding a plurality of longitudinal strips on spools being formed in a plurality of winding stations, each spool rotating around a respective rotation axis and reciprocatingly translating parallel to said rotation axis, the method comprising the steps of:
- winding a length of the longitudinal strip on first spools being formed in the winding stations, each strip being guided around a contact roller;
- each contact roller being supported by a respective pivoting arm and rotating around a rotation axis parallel to the rotation axis of the spool and pressed against the spool;
- severing the longitudinal strips by means of cutting devices, forming trailing edges of the first spools and leading edges of second spools, each of the leading edges being held by means of a respective holding device, each holding device being supported by said pivoting arm to be movable towards and away from the axis of the rotation axis of the spool;
- removing the first spools from the winding stations;
- inserting new tubular winding cores into the winding stations;
- by means of the holding devices, moving each one of said leading edges towards the respective new tubular winding cores;
- making the leading edges adhere to the new cores;
- starting winding new spools around the new tubular winding cores.