STABILITY OF COMPLICATED ROTOR-BEARING SYSTEM BY OVERLAPPING DECOMPOSITION–AGGREGATION METHOD

The whole and the part are general attributes of nature. By means of an overlapping decomposition–aggregation method, this paper proposed a way and procedure to show how a system is decomposed and then aggregated into a new expanded system. In this expanded system, the original one is viewed and treated as two levels: the whole system and its subsystems. We hence find a methodology that can provide us with the information about a system and its specified subsystems, and the relationship between the whole and the parts. This paper shows an application of the standpoint and the method to stability problems of a complicated rotor-bearing system. A numerical example is also given to show the uniqueness and superiority of the methodology. It is believed that the proposed method provides us with a powerful and flexible tool to analyze the dynamic behavior for the complicated rotor-bearing system. It can also be used in other similar compound dynamic systems.