A system and a method for stud fixation with the aid of mechanical vibration energy that is applied to the stud and that is used for local liquefaction or at least plastification of a material, which is based on a thermoplastic polymer and includes the stud (at least distal stud end) and/or by the object (at least in a fixation location), wherein simultaneously the distal stud end is pressed against the fixation location of the object. Depending on the material pairing of stud (distal stud end) and object (fixation location), this results, on re-solidification of the liquefied or plasticized material, in an embedding of the distal stud end in the object (e.g. positive fit connection), in a welded connection between the distal stud end and the object, or in a local penetration of stud material into the object (e.g. positive fit connection).