The present invention concerns an ultrasonic vibration system comprising a sonotrode which has two sonotrode end faces and a circumferentially extending lateral surface connecting the two sonotrode end faces together, wherein the sonotrode has an elongate core element and at least one wing element, wherein core element and wing element respectively extend from the one sonotrode end face to the other sonotrode end face in a longitudinal direction, wherein the wing element has a sealing surface which is provided to come into contact with a material for processing thereof and is connected to the core element by way of a plurality of webs spaced from each other in the longitudinal direction of the core element, and a converter which is optionally connected to the sonotrode by way of an amplitude transformer. According to the invention it is proposed that the ultrasonic vibration system is connected to a machine stand by way of a mounting connected to the lateral surface.