Tn. Shiau et Jl. Hwang, GENERALIZED POLYNOMIAL EXPANSION METHOD FOR THE DYNAMIC ANALYSIS OF ROTOR-BEARING SYSTEMS, Journal of engineering for gas turbines and power, 115(2), 1993, pp. 209-217
The determination of critical speeds and modes and the unbalance respo
nse of rotor-bearing systems is investigated with the application of a
technique called the generalized polynomial expansion method (GPEM).
This method can be applied to both linear and nonlinear rotor systems;
however, only linear systems are addressed in this paper. Three examp
les including single spool and dual rotor systems are used to demonstr
ate the efficiency and the accuracy of this method. The results indica
te a very good agreement between the present method and the finite ele
ment method (FEM). In addition, computing time will be saved using thi
s method in comparison with the finite element method.