Device and method for grinding a profile

A device configured as a rail-bound vehicle for grinding a profile with a running surface and a side surface defining the profile, the device comprising:

• at least one profiled grinding body that is capable of being driven in a rotationally movable and/or oscillating manner about an axis of rotation, which is wherein the at least one grinding body is concave at least in some portions, and wherein the axis of rotation is capable of being positioned so as to be inclined with an orientation relative to a vertical plane and/or relative to a horizontal plane,
• a support arranged on the device so as to be movable in a translational manner in a transverse plane relative to the profile and/or relative to a feed direction via a guide, wherein the at least one grinding body is arranged on the support, and
• at least one contact element that is coupled to the support and is capable of being applied against the profile in a region of a contact surface of the profile, wherein the support with the grinding body is automatically aligned thereby in the transverse plane relative to the profile and relative to the device, and wherein the axis of rotation of the at least one grinding body, with a transverse axis relative to a longitudinal axis of the profile, spans a plane which intersects at least one contact surface of the at least one contact element on the profile.