Abstract: A torsion damping apparatus which is installed between the crankshaft of the engine and the friction clutch in a motor vehicle has two coaxial flywheels which are rotatable relative to each other against the opposition of a composite damper. The composite damper has two dampers which operate in series and a friction generating device which operates between one of the dampers and one of the flywheels. One of the flywheels has an axial projection which centers a flange of the composite damper.