A winder or other rotary mechanism having a rotating member subjected to vibrations such as a rider roll for the winder including an energy absorbing vibration damper connected to the rider roll so that defects in a roll being wound due to vibrational engagement of the rider roll with the wound roll are avoided with the dampener including a stationary hollow tube secured along its length to a beam coextensive with the rider roll with a beam member within the stationary tubular member and a resilient hose coiled about the beam and inflated and a plurality of axially extending metal slats between the inflatable tube and the inside of the tubular member laminated with a viscoelastic material for absorbing vibration of the rider roll.