Application of mechanized mathematics to rotor dynamics

Based on the mechanized mathematics and WU Wen-tsun elimination method, using oil film forces of short-bearing model and Muszynska' s dynamic model, the dynamical behavior of rotor- bearing system and its .stability of motion are investigated . As example , the concept of Wu characteristic set and Maple software , whirl parameters of short- bearing model, which is usually solved by the numerical method, are analyzed. At the same time , stability of zero solution of Jeffcott rotor whirl equation and stability of self-excited vibration are studied. The conditions of stable motion are obtained by using theory of nonlinear vibration .