Talking about ultrasonic vibration we can say that it is the essential thing of experimental physics science. The ultrasound is applied amply, for example in: medicine and pharmacy, dimensional and diagnostics devise, mechatronic, mine working, building, automobile and aliment industry, textile industry, connection, energetic – that is not all the actions ranges off people doing, where he is applying. Although hypersonic technologic rise and begin proceed lately, however they are taking the strongest positions in science and technique. Ultrasonic vibration systems (UVS), are designed for push realization, the main function is - interaction with other solid at the dot and to establish the secret elliptical movement trajectory. Also we need a control of this movement, stabilized cooperating with other solids and to keep particular dynamic parameters. Destination of the work: To establish mathematical model of ultrasonic vibration systems (UVS) and to explorer his work dot characterizations. Tasks: 1. Classification, material analysis of existing elliptical movement formative ultrasonic vibration systems (UVS), construction internal, resilient wave spread forms, vibration stimulation tempers. 2. To examine made-up system by finite essential method : determine her vibration parameters – her forms and frequencies; to take measurements of dots, witch formative elliptical trajectory vibration displacement and to establish their movement trajectory. 3. To compare by analytical... [to full text]