Weaving machine and corresponding weaving method

A weaving method using a weaving machine, the method comprising the steps of:

• selectively moving at least some of a plurality of warp threads, the plurality of warp threads extending in a first direction, to form first and second sheets of warp threads;
• controlling an actuating device to move at least one support shuttle for at least one feed spool for weft thread between the first and second sheets of warp threads in at least one second direction transverse to the first direction, and in both senses relative to the second direction, to continuously lay the weft thread coming from the feed spool between the sheets and in the second direction;
• and
• actuating hitching means of a movable element of the actuating device to rigidly connect the at least one support shuttle and the movable element together, the movable element being commanded to move between the first and second sheets of warp threads in the second direction and in a first sense, a device for disconnecting the at least one support shuttle from the actuating device is activated, the movable element being commanded to move between the first and second sheets of warp threads in the second direction and in a sense opposite the first sense, at least some of the plurality of warp threads are moved selectively to change a position of the first and second sheets of warp threads, the movable element being commanded to move between the first and second sheets of warp threads in the second direction and in the first sense, the disconnection device is deactivated, and the movable element being commanded to move between the first and second sheets of warp threads in the second direction and in the second sense.