A twin mass flywheel for a vehicle comprising two co-axially arranged relatively rotatable masses interconnected by a plurality of pivotal linkages. Each linkage comprises a first link pivotally connected to one flywheel mass, a second link pivotally connected to the other flywheel mass and a common pivot joining the links to move radially outwardly. A resilient torque member in each common pivot operable after a predetermined rotation between the flywheel masses to resist said relative rotation. A variable hysteresis friction damping means, whose resistance to relative rotation changes as the relative angle of rotation is altered, acts between the flywheel masses. The damping means can be provided by two friction damping plates which operate at different stages of rotation. The relative rotation may be limited by resilient stops.