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Research Papers

Investigation on the Stability and Bifurcation of a 3D Rotor-Bearing System

[+] Author and Article Information
Yi Liu

e-mail: sfzw0016@163.com

Heng Liu

e-mail: hengliu@mail.xjtu.edu.cn

Jun Yi

e-mail: yijun860815@126.com

Minqing Jing

e-mail: mjing@mail.xjtu.edu.cn
School of Mechanical Engineering,
Xi'an Jiaotong University,
No. 28, West Xianning Road,
Xi'an City, Shannxi Province, 710049,PRC

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received October 2, 2012; final manuscript received February 3, 2013; published online April 25, 2013. Assoc. Editor: Walter Lacarbonara.

J. Vib. Acoust 135(3), 031017 (Apr 25, 2013) (11 pages) Paper No: VIB-12-1277; doi: 10.1115/1.4023843 History: Received October 02, 2012; Revised February 03, 2013

The stability and bifurcation of a flexible 3D rotor system are investigated in this paper. The rotor is discretized by 3D elements and reduced by using component mode synthesis. Periodic motions and stability margins are obtained by using the shooting method and path-following technique, and the local stability of the periodic motions is determined by using the Floquet theory. Comparisons indicate that 3D and 1D systems have a general resemblance in the bifurcation characteristics while mass eccentricity and rotating speed are changed. For both systems, the orbit size of the periodic motions has the same order of magnitude, and the vibration response has identical frequency components when typical bifurcations occur. The stress distribution and location of the maximum stress spot are determined by the bending mode of the rotor. The type of 3D element has a slight effect on the stability and bifurcation of the rotor system. Generally, this paper presents a feasible method for analyzing the stability and bifurcation of complex rotors without much structural simplification.

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Figures

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Fig. 1

Flexible rotor bearing system

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Fig. 3

Tilting-pad thrust bearing

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Fig. 4

Rotor-bearing system and retained nodes. (a) 3D system and seven retained nodes and (b) 1D system and four retained nodes.

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Fig. 5

e–ω diagram of the stable regions of T periodic motion

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Fig. 6

Ax, Ayω diagram of disk “c” when e = 4 μm

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Fig. 17

e-ω diagram for both 3D systems

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Fig. 18

Axω diagram of disk “c” for both 3D systems when e = 4 μm

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