Abstract: A damping apparatus for damping vibrations in a vibrating system including a piston which is reciprocally movable in a hydraulic fluid filled damper chamber, piston movement in either direction of movement being resisted by fluid pressure in the damper chamber behind the piston, which resistance provides damping forces which act to oppose piston movement, the piston being connected to one component of the vibrating system and the damping chamber being connected to a second component of the vibrating system, characterised in that the fluid at at least a first side of the piston acts on a movable part which is movable in response to changing fluid pressure in the damper chamber at the first side of the piston as the piston moves, the movable member providing a relief volume for the fluid into which and from which fluid may flow from and towards the first side of the piston without passing to an opposite second side of the piston.