As a result of the lack of a roof structure, convertibles often have a low torsional frequency. Excitation by the road surface may cause vibration. These vibrations can, for example, be felt on the seat, and may impair rear vision due to shaking of the rear view mirror. Where sufficient space is available, absorbers are installed at points where the greatest amplitudes occur, such as the front lights, or the boot, in order to obtain the greatest damping effect. As in the case of an airbag absorber, an existing component such as the battery may be used as the inertia mass. The component concerned is connected to the chassis via elastomeric elements.