Method for reprofiling at least one rail

A method for reprofiling at least a section of a running surface of a rail head of at least one rail of rails forming a laid rail track, the method comprising the following steps:

• providing a machining vehicle, the machining vehicle being movable along the rail track,
• providing a machining unit, the machining unit being arranged on the machining vehicle and the machining of the running surface to be machined being carried out during the travel of the machining vehicle, the machining unit comprising
• at least a first machining aggregate with at least one rotationally driven chip-removing machining tool, wherein the at least one machining tool is formed as a milling wheel with a plurality of cutter head cutting edges arranged circumferentially one behind the other and aligned along a rail head profile of the rail head to be reprofiled,
• at least one second machining aggregate,
• machining the rail head in the section of the running surface in a first machining step using the at least one chip-removing machining tool, wherein in the first machining step the material removal is carried out in a milling process, and a surface corrugation with corrugation crests (18) and corrugation troughs is formed during the material removal in a direction of a longitudinal extension of the at least one rail, and the surface corrugation is reduced and/or modified in a subsequent second machining step using the second machining aggregate,
• wherein during the reduction of the surface corrugation in the second machining step, at least the corrugation crests are plastically deformed and leveled, and
• wherein the plastic deformation of at least the corrugation crests is performed using at least one forming force directed towards the running surface to be machined,
• wherein
• the at least one forming force is applied in a pulsating manner and the material of the rail is displaced slightly in the process and wherein in the second machining step there is no continuous contact of a machining tool of the second machining aggregate with the running surface to be machined.