The general issues of the development of an optimal circuit diagram of a vibration system and determination of the parameters of this circuit providing an extreme criterion of optimality are considered. The object of research is technical machines and technological media, which are considered as a system subordinated to a single vibration process. By technical machines, vibration machines adopted in the work for the implementation of compaction processes are adopted. Technological media adopted two-phase dispersed media used for compaction. Concrete mixes and soils are accepted by such media. Reducing energy costs, a high level and speed of energy transfer to the process are the main factors in creating optimal schemes of vibration systems. One of the most problematic places in solving this approach is the lack of a generally accepted model for the interaction of the working bodies of machines with the processing medium. Existing studies are based on the separate determination of the parameters of machines and media. Such methods are characterized by significant energy costs and a long duration of the process. The proposed approach based on the harmonization of the forces of machines and media arising in the vibration process, has significantly reduced energy costs. The work also obtained a new synergistic effect of the system. This is due to the fact that the proposed method for creating the optimal circuit has a number of features. So, in the course of the study, the modes of combining the elastic-inertial forces of the subsystems in a single system are used. Particular implementation of subresonance and superresonance modes are determined. Thanks to this, it is possible to maximize the effectiveness of vibration systems not only in new design solutions, but also in the targeted use of the internal properties of the integrated system. Compared with similar well-known vibrating machines, energy costs are reduced by 50 %. The proposed methodology for developing organizational principles for the formation of the optimal scheme and parameters is used in the design of vibration systems for vibration and vibration-shock modes of compaction of building mixtures.