This paper presents synchronous eliminators of vibration which are applied to some objects connected in a series. The eliminators of vibration are formed by some rotating pendulums on each object. The mathematical model is given and some simulations are done. The vibrations generate inertial forces which change the configuration of the pendulums and they can compensate for the excitation. The vibratory forces and their properties are used to verify if the pendulums are able or not to eliminate the vibrations. The analysis of the vibratory forces allows one to determine the pendulums' equilibrium positions. The stability analysis of the new configuration of the pendulums has been done to show that it is physically possible to eliminate the vibrations. The analysis defines the range of the parameters for which the pendulums fulfill their function.