HU Chao, WANG Yan, WANG Li-guo, HUANG Wen-hu. Application of Mechanized Mathematics to Rotor Dynamics[J]. Applied Mathematics and Mechanics, 2002, 23(9): 929-935.
 Citation: HU Chao, WANG Yan, WANG Li-guo, HUANG Wen-hu. Application of Mechanized Mathematics to Rotor Dynamics[J]. Applied Mathematics and Mechanics, 2002, 23(9): 929-935.

# Application of Mechanized Mathematics to Rotor Dynamics

• Rev Recd Date: 2002-05-28
• Publish Date: 2002-09-15
• Based on the mechanize d mathematics and WU Wen-tsun elimination method, using oil film forces of short be aring 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 par ameters of short-bearing model, which is usually solved by the numerical method, are analyzed. At tha same time, stability of zero solution of Jeffcott rotor whirl equation and stability of self-excited vibration are studied. The conditio ns of stable motion are obtained by using theory of nonlinear vibration.
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