Radial vibration dampers (RVD's) press-fittable to a shaft and shaft systems incorporating RVD's are disclosed herein. The RVD's include a first inertia member and a second inertia member fixedly connected to one another to define an annular channel having a radially facing, open side and a spring damper material seated in the annular chamber and axially compressed between the two inertia members. The spring damper material has a compressible portion protruding from the radially facing, open side so that, when the compressible portion is compressed against a shaft, the spring damper material defines a gap between the shaft and the inertia members. The RVD may be press-fittable inside a hollow shaft or to the outside of a hollow or solid shaft. The RVD's disclosed herein have first vibration mode shapes that are radial in nature and decoupled from latter vibration modes.