The paper presents the results of the study of vibration machines for technological purposes. The theory of joint movement of working bodies of vibrating machines and the processed environments modeled by discrete-continuous systems is developed. The complex approach to the decision of a question of modeling of difficult dynamic systems with variable characteristics of elastic elements at realization of working process is considered. The parameters of resonant vibration systems with directional oscillations for surface compaction, polyphase oscillations and spatial oscillations are determined. The basic principles of such approach to the decision of a question of rational use of materials at designing of cars are resulted. New designs of machines and their components are offered. The data on researches which are introduced in educational process, normative documentation and in the industry are resulted.