Transient response analysis of large scale rotor-bearing system with strong nonlinear elements by a transfer matrix-newmark formulation integrationmethod

摘要

This paper extends the transfer matrix technique {TMT} to the transient response analysis of a large complex nonlinear rotor-bearing system by a transfer matrix-Newmark formulation itegration method. Firstly, the transfer matrix is obtained via the Newmark formulation. Secondly the deflections and velocities at the stations, containing nonlinear element, are determinted by iteration. Finally the deflections, velocities and accelerations of all stations are computed by TMT and teh Newmark ormulation consistent with the boundary conditions. In order to eliminate the numerical instability of TMT, the transfe vector {f~r:e~r}~r is used, instead of the traditional {f~r:e~r}~r. Owing to the advantages of TMT and the Newmark formulation, this method can be applied to calculate the transient response of a large scale rotor-bearing system with strong nonlinear elements, and to analyze its stability. Two illustration examples are given, and teh reaults agree well with those by Runge-Kutta method, and by modal synthetic method.