Torsional vibration damper arrangement for transmitting a rotation from a drive side to an output side, having the following features: a first torque transmission path, arranged between the drive side and the output side, for transmitting a first torque portion; a second torque transmission path, arranged between the drive side and the output side, for transmitting a second torque portion; a clutch arrangement for superimposing the first torque portion and the second torque portion; a phase shifter arrangement for bringing about a phase shift between torsional vibrations which are transmitted to the clutch arrangement via the first torque transmission path and the torsional vibrations which are transmitted to the clutch arrangement via the second torque transmission path, and wherein the phase shifter arrangement brings about a maximum phase shift which can be achieved with the phase shifter arrangement and which is dependent on a rotational speed of the transmitting rotation, in which the phase shifter arrangement comprises a system which is capable of vibrating and which has a primary side which is coupled to the drive side and a secondary side which can rotate with respect to the primary side about a rotational axis and which is connected to the clutch arrangement, wherein a rotation of the primary side with respect to the secondary side takes place counter to the effect of a spring arrangement (52a-e; 62a-d) which is arranged between the primary side and the secondary side, in which the system which is capable of vibrating has a resonant frequency which is dependent on the rotational speed, in which rigidity of the spring arrangement (52a-e; 62a-d) changes as a function of the rotational speed, in which the spring arrangement (52a-e; 62a-d) comprises a multiplicity of springs, wherein at least one of the springs (62b, 62c) is mounted in such a way that a radial distance can change, in a radial direction which is perpendicular to the rotational axis, between the rotational axis and the one spring (62b, 62c) as a function of the rotational speed, characterized in that the at least one spring (62b, 62c) is mounted in sliding shoes at both ends of the spring, the surfaces of which sliding shoes which face away from the spring (62b, 62c) bear on guide faces (68a-d) which extend in the radial direction and whose relative distance decreases as the distance from the rotational axis increases. a first torque transmission path, arranged between the drive side and the output side, for transmitting a first torque portion; a second torque transmission path, arranged between the drive side and the output side, for transmitting a second torque portion; a clutch arrangement for superimposing the first torque portion and the second torque portion; a phase shifter arrangement for bringing about a phase shift between torsional vibrations which are transmitted to the clutch arrangement via the first torque transmission path and the torsional vibrations which are transmitted to the clutch arrangement via the second torque transmission path, and wherein the phase shifter arrangement brings about a maximum phase shift which can be achieved with the phase shifter arrangement and which is dependent on a rotational speed of the transmitting rotation, in which the phase shifter arrangement comprises a system which is capable of vibrating and which has a primary side which is coupled to the drive side and a secondary side which can rotate with respect to the primary side about a rotational axis and which is connected to the clutch arrangement, wherein a rotation of the primary side with respect to the secondary side takes place counter to the effect of a spring arrangement (52a-e; 62a-d) which is arranged between the primary side and the secondary side, in which the system which is capable of vibrating has a resonant frequency which is dependent on the rotational speed, in which rigidity of the spring arrangement (52a-e; 62a-d) changes as a function of the rotational speed, in which the spring arrangement (52a-e; 62a-d) comprises a multiplicity of springs, wherein at least one of the springs (62b, 62c) is mounted in such a way that a radial distance can change, in a radial direction which is perpendicular to the rotational axis, between the rotational axis and the one spring (62b, 62c) as a function of the rotational speed, characterized in that the at least one spring (62b, 62c) is mounted in sliding shoes at both ends of the spring, the surfaces of which sliding shoes which face away from the spring (62b, 62c) bear on guide faces (68a-d) which extend in the radial direction and whose relative distance decreases as the distance from the rotational axis increases.