A model with two masses is considered where the upper mass is self-excited due to the negative linear damping component and the lower mass represents the damped foundation subsystem. The passive means represents the positive linear damping of foundation subsystem and the active one the linear parametric excitation due to the periodic changing of the foundation mounts stiffness. In the case when only passive means are used the optimal tuning can be reached when stability limits for both vibration modes merge together. The condition for such tuning of the system in question is formulated. But when the stability condition is not met then this tuning of the system is not suitable for using in addition the active means in the form of parametric excitation. and Obsahuje seznam literatury