<p>A torsional vibration damping arrangement for a vehicle driveline which includes a transmission (13) driven by an engine (12) via a drive clutch (11). The arrangement has a clutch actuator (15) for engaging/disengaging the clutch, an electronic control unit (16) which receives vehicle and clutch operating parameter signals including a signal representative of the speed of rotation of a component of the drive line and issues control signals for the engagement/disengagement of the clutch via the clutch actuator during starting and stopping of the vehicle and during ratio changes in the transmission. The electronic control unit (16) is arranged to control the level of engagement of the clutch (11) to damp torsional vibrations in the drive line by allowing the clutch to slip if the level of torsional acceleration amplitude of the component of the drive line determined from the rotational speed signal exceeds a target level of acceleration amplitude.</p>
