Three-Dimensional Solid Shaft Super-Element Transfer Matrix Method for Steady-State Response Analysis of Isotropic Rotor-Bearing System

The harmonic response calculation of rotor system is an important part of the analysis and design of rotating machinery, which has attracted the attention of engineers and designers. This study focuses on the problem that the single harmonic response of the full-order finite element model is computationally intensive and it is not easy to quickly obtain the harmonic response map of the system. Firstly, the full-order finite element dynamic model of three-dimensional isotropic solid shaft is established, and the super-element is generated by CB modal synthesis method. Based on the idea of transfer matrix method, the transfer equation and transfer matrix of solid shaft super-element for steady-state response analysis of rotor system are derived, and the transfer matrix method of solid shaft super-element for steady-state response analysis of isotropic rotor system is formed. Taking the harmonic response calculation of a typical isotropic solid rotor system as an example, the results show that under the premise of ensuring the calculation accuracy, the super-element transfer matrix method of the proposed CB modal synthesis method can greatly improve the calculation efficiency and shorten the calculation time while giving full play to the low calculation scale of the transfer matrix method, which provides an efficient analysis theory and method for the harmonic response calculation of isotropic rotor system.