Abstract: A system for machining work pieces includes an assembly stand (1) for holding a work piece (6) and carrying the work piece to successive machining stations, and includes an assembly device or machining station (101) that holds a machining tool and receives the work piece to carry out a machining operation. The assembly stand includes a work piece receiving apparatus (3) mounted on a pallet (2) that has sliding and fixing elements (11) mounted on its underside. Each element (11) includes a bell-shaped flexible suction cup member (13). When pressurized air is applied to the suction cup members, the assembly stand floats on a cushion of air so that it can be easily moved. When vacuum is applied to the suction cup members, the assembly stand is firmly fixed in position on a work table.