A Transfer Matrix Method for Nonlinear Vibration Analysis of Rotor-Bearing Systems

Abstract In this paper, a transfer matrix method is presented for calculating nonlinear vibration of rotor-bearing systems. The method is based on the Riccati transfer matrix method and two direct integration schemes: Houbolt and Wilson-0. Since this method uses matrices with small size and new, more simple recurrence formulae, the calculation results, which do not contain the significant computation roundoff error accumulation, have been obtained and very short time is needed. Nonlinear vibration calculation becomes essential to actual rotor-bearing systems of engineering importance. This method is concise, explicit and short, and it can be executed on personal computers of present configurations.