Abstract: A new method based on the fusion of TMM and parameter matching (PM) is proposed. The total system is decomposed to multiple subsystems. The transfer matrix is set up for each subsystem. The parameter marching principle between units is used to form the response calculation equation of the total system. The new method is used to calculate rotor unbalance response and is compared with the traditional method. The improved method is also used to calculate unbalance response sensitivity to rotor parameters. It is shown that the unbalance response distortion and data overflow under high rotating speed and high nodes conditions are avoided. It can be easily used to analyze the multi-rotor or multi-span rotor-bearing system dynamics with different kinds of boundary condition. Examples are given.

Key words: Rotor, Transfer matrix, Vibration