Nonlinear optimal synthesis of the vibrator with flow excitation

In the daily life and techniques people all time have interaction with continue media like air or water. In report motion of vibrator with constant air or water flow excitation is observed. In first part of report motion of a vibrator with constant air or water flow velocity excitation is investigated. The main idea is to find out optimal control law for variation of additional area of vibrating object within limits. For solution of the high-speed problem the maximum principle is used. It is shown that optimal control action is on bounds of area limits. Examples of synthesis real mechatronic systems are given