Crashbox and damping arrangement with crashbox

A base-plate-less crashbox is provided for absorbing impact energy, which is suitable for insertion into a corresponding support frame, in particular, a motor vehicle support frame, and has a deformable profile. The base-plate-less crashbox includes, but is not limited to at least one first chamber and a second chamber formed adjacent thereto which are each surrounded by a wall of the profile. One of the chambers is formed such as to be shorter in the direction of insertion so that the other chamber has a protruding portion which is adapted to be inserted into the corresponding support frame in order to realize a coupling between the crashbox and the support frame. The protruding portion has at least one first connecting means for connecting the protruding portion to the support frame.