A system for fixing matting to an object with the aid of a plurality of studs fixed to the object, the studs being fixed to the object with the aid of liquefaction or at least plastification of a material based on a thermoplastic polymer, said material being comprised by the object, the system comprising: studs comprising an elongated shaft having a distal end, a proximal end and a longitudinal axis therebetween, and a collar extending radially from the shaft, having a distal collar face and a proximal collar face and being arranged on the shaft with a proximal shaft portion extending beyond the proximal collar face, a tool comprising a vibration source capable of supplying mechanical vibration energy, and a sonotrode with a proximal sonotrode end and a distal sonotrode face, wherein the proximal sonotrode end is coupled or couplable to the vibration source, wherein the sonotrode is designed for vibration transmission from the proximal sonotrode end to the distal sonotrode face, and wherein the sonotrode further comprises an axial channel being open at the distal sonotrode face, and the matting, wherein the axial channel is dimensioned for accommodation of the proximal shaft portion, and wherein the distal sonotrode face is adapted to the proximal collar face for enabling transmission of vibration and of a pressing force from the sonotrode to a stud, wherein the collar is arranged on the shaft for a distal shaft portion to extend beyond the distal collar face and in that at least the distal shaft portion comprises a material which is not liquefiable by the vibrating energy and further comprises a surface structure or geometry suitable for forming a positive fit connection with said material based on a thermoplastic polymer in which it is embedded, wherein the proximal shaft portion has a length which is about the same or larger than a matting thickness, whereby the matting is capable of being secured to the object by being pushed on a plurality of the fixed studs and fixing head plates to the free stud ends protruding from the matting. studs comprising an elongated shaft having a distal end, a proximal end and a longitudinal axis therebetween, and a collar extending radially from the shaft, having a distal collar face and a proximal collar face and being arranged on the shaft with a proximal shaft portion extending beyond the proximal collar face, a tool comprising a vibration source capable of supplying mechanical vibration energy, and a sonotrode with a proximal sonotrode end and a distal sonotrode face, wherein the proximal sonotrode end is coupled or couplable to the vibration source, wherein the sonotrode is designed for vibration transmission from the proximal sonotrode end to the distal sonotrode face, and wherein the sonotrode further comprises an axial channel being open at the distal sonotrode face, and the matting, wherein the axial channel is dimensioned for accommodation of the proximal shaft portion, and wherein the distal sonotrode face is adapted to the proximal collar face for enabling transmission of vibration and of a pressing force from the sonotrode to a stud, wherein the collar is arranged on the shaft for a distal shaft portion to extend beyond the distal collar face and in that at least the distal shaft portion comprises a material which is not liquefiable by the vibrating energy and further comprises a surface structure or geometry suitable for forming a positive fit connection with said material based on a thermoplastic polymer in which it is embedded, wherein the proximal shaft portion has a length which is about the same or larger than a matting thickness, whereby the matting is capable of being secured to the object by being pushed on a plurality of the fixed studs and fixing head plates to the free stud ends protruding from the matting.