Application of Mechanized Mathematics to Rotor Dynamics

HU Chao; WANG Yan; WANG Li-guo; HUANG Wen-hu

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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.

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.

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Application of Mechanized Mathematics to Rotor Dynamics

Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China

Received Date: 2001-07-30
Rev Recd Date: 2002-05-28
Publish Date: 2002-09-15

Abstract

Abstract

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.
- Wentsun elimination method,
- char acteristic set,
- stability of motio n,
- rotor-bearing system,
- whirl

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References(8)

References

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