Application of Mechanized Mathematics in Rotor Dynamics
Keyword(s):
The West
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Abstract The mechanized mathematics-Wu elimination method is a vigorous method in solving nonlinear algebraic equations in China, but it is still not so popular in the West. In this paper the mechanized mathematics-Wu elimination method is introduced in brief and is used to solve the problem of dynamic behavior of a rotor-bearing system with nonlinear supports. The whirl equations of a short bearing-rotor system with two disks considering gyro-moment are studied. The idea of the characteristic set of Wu method is combined with Maple’s symbolic calculation. The whirl parameter of a rotor mounted on two supports are analyzed. The analytical results showing the relations of the bearing parameters and instability speed are presented.
1989 ◽
Vol 111
(2)
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pp. 253-259
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1989 ◽
Vol 111
(2)
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pp. 187-193
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2018 ◽
Vol 8
(5)
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pp. 13-16
Keyword(s):
2019 ◽
Vol 27
(3)
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pp. 242-262
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2018 ◽
Vol 20
(4)
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pp. 364-377