Chinese Journal of Theoretical and Applied Mechani ›› 1996, Vol. 28 ›› Issue (1): 109-113.DOI: 10.6052/0459-1879-1996-1-1995-309

• Research paper • Previous Articles     Next Articles

NONLINEAR VIBRATION OF THE HIGH DIMENSIONAL SYSTEMS WITH PARAMETERS

,   

  1. 天津大学力学系
  • Received:1900-01-01 Revised:1900-01-01 Online:1996-01-25 Published:1996-01-25

Abstract: 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.

Key words: high dimensional systems, averaging method, AMB