NONLINEAR VIBRATION OF THE HIGH DIMENSIONAL SYSTEMS WITH PARAMETERS

This paper proproses an improved averaging method suitable for the general parameterized high dimensional systems and gives approximate formula of the nonlinear vibration in the systems under the autonomous, nonautonomous conditions respectively. By the method it investigates the nonlinear vibration in the active megnetic bearing(AMB)-rotor systems acted on by the PD controller, and by the PID controller.