The damper (10) has a sensor device for detecting vibration motion of a vibratory structure, and a linear motor (12) mounted at the structure. The motor has a linear guide (14) and a linear motor carriage (18), where the carriage moves a damper mass and is moved back and forth along the guide on wheels (16). A measuring system (20) detects actual speed and an actual position of the carriage and a regulating device. A measuring variable input of the regulating device is connected with the sensor device, and an actuating variable output of the regulating device is connected with the motor.