Undercarriage noise damping assembly

A sprocket damping assembly for a sprocket wheel of a track-type work machine may include an annular damping ring having an annular retention device. The damping ring may include a ring body section having a ring body section radial thickness, and a retention groove section integrally formed at an outboard side of the ring body section. The retention groove section may have a retention groove section axial width and a retention groove section radial thickness. The retention device may have a retention device axial width that is less than or equal to the retention groove section axial width. The retention device is disposed on the retention groove section when the damping ring is disposed on a sprocket drum outer surface of the sprocket wheel to retain the sprocket damping assembly. The retention groove section radial thickness may be less than the ring body section radial thickness.