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TECHNICAL PAPERS

Nonlinear Dynamic Analysis of an Unsymmetrical Generator-Bearing System

[+] Author and Article Information
Zhansheng Liu

Department of Energy Science and Engineering, Harbin Institute of Technology, P.O. Box 458, Harbin, 150001, P.R. Chinalzs@hit.edu.cn

Senlin Huang, Jiexian Su

Department of Energy Science and Engineering, Harbin Institute of Technology, P.O. Box 458, Harbin, 150001, P.R. China

J. Vib. Acoust 129(4), 448-457 (Jan 23, 2007) (10 pages) doi:10.1115/1.2731407 History: Received July 17, 2003; Revised January 23, 2007

Considering both nonlinear oil film force and unsymmetrical stiffness, this paper presents a mechanical model of a generator-bearing system. The complex mode synthesis method is used to reduce the linear degrees of freedom of the high order model in the rotating coordinates, and one-order modal differential equations are obtained which may not be solved directly by Newmark-β method. To solve this problem, a modified Newmark-β method is presented to investigate dynamic effects of the asymmetry of rotor stiffness, the viscosity of oil, the rotor unbalance and the ratio of length to diameter of bearings. Three-dimension diagrams and unfiltered vibration curves are used as tools to examine the dynamic behavior of the system, and some insights into the dynamic behavior are given. Numerical results show that instability of the system may be improved by modifying these parameters.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Model of a generator-bearing system

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Figure 2

Comparisons of unfiltered vibration curves (with different order modes)

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Figure 3

Three-dimensional spectrum diagrams (with different asymmetry μ)

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Figure 4

Comparisons of unfiltered vibration curves (with different asymmetry μ)

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Figure 5

Three-dimensional spectrum diagrams (with different viscidity η)

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Figure 6

Comparisons of unfiltered vibration curves (with different viscidity η)

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Figure 7

Three-dimensional spectrum diagrams (with different unbalance ratio ρ)

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Figure 8

Comparisons of unfiltered vibration curves (with different unbalance ratio ρ)

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Figure 9

Three-dimensional spectrum diagrams (with different L/D)

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Figure 10

Comparisons of unfiltered vibration curves (with different L/D)

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