LAUSR

An improved discretisation method relative to the geometric dimensions of the rotor-bearing system in the calculation of its critical speeds using the transfer matrix method (TMM) is introduced to enhance the computation precision. This work is motivated by the noise analysis of the power system, wherein the noise source identification in a multiple source environment is challenging and hence the need for a higher degree of accuracy. This new discretisation method is derived according to the principles of the equivalence of mass properties with lumped mass and moment of inertia included. The efficiency of the proposed discretisation method is tested via both simulation studies and real noise data. The Riccati TMM is applied on the equivalent discrete models obtained from the proposed geometric dimension discretisation method (abbreviated to GDDM in this study) as well as the empirical discretisation formula, the comparison of which indicates that the analysis of the rotor-bearing assembly discretised appropriately enough under the GDDM is capable of providing solutions of critical speed and predictions of vibration modes and noise with better precision.