The studies into the cross-country ski vibrations are inspired by the clear practical interest. There are
multiple indications that such vibrations can improve ski gliding efficiency [1-3]. It is known that friction-
induced vibrations significantly reduce the kinetic friction with snow and ice [4-6] and in the vehicle
brakes [7]. Such vibrations are known for the systems with both dry [8] and wet [9] friction. So there
exists an intriguing possibility that improvements into the gliding efficiency of the cross country and long