Full Text:   <1847>

CLC number: TH117.2

On-line Access: 2011-01-06

Received: 2010-03-31

Revision Accepted: 2010-09-29

Crosschecked: 2010-12-10

Cited: 8

Clicked: 3317

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2011 Vol.12 No.1 P.46-55


Nonlinear dynamic analysis of a rotor/bearing/seal system

Author(s):  Wei Li, Yi Yang, De-ren Sheng, Jian-hong Chen, Yong-qiang Che

Affiliation(s):  Department of Energy Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   Energy@zju.edu.cn

Key Words:  Nonlinear, Rotor system, Hamilton principle, Dynamic, Finite element method (FEM)

Wei Li, Yi Yang, De-ren Sheng, Jian-hong Chen, Yong-qiang Che. Nonlinear dynamic analysis of a rotor/bearing/seal system[J]. Journal of Zhejiang University Science A, 2011, 12(1): 46-55.

@article{title="Nonlinear dynamic analysis of a rotor/bearing/seal system",
author="Wei Li, Yi Yang, De-ren Sheng, Jian-hong Chen, Yong-qiang Che",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Nonlinear dynamic analysis of a rotor/bearing/seal system
%A Wei Li
%A Yi Yang
%A De-ren Sheng
%A Jian-hong Chen
%A Yong-qiang Che
%J Journal of Zhejiang University SCIENCE A
%V 12
%N 1
%P 46-55
%@ 1673-565X
%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1000130

T1 - Nonlinear dynamic analysis of a rotor/bearing/seal system
A1 - Wei Li
A1 - Yi Yang
A1 - De-ren Sheng
A1 - Jian-hong Chen
A1 - Yong-qiang Che
J0 - Journal of Zhejiang University Science A
VL - 12
IS - 1
SP - 46
EP - 55
%@ 1673-565X
Y1 - 2011
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1000130

In this study a new dynamic model of a rotor system is established based on the hamilton principle and the finite element method (FEM). We analyze the dynamic behavior of the rotor system with the coupled effects of the nonlinear oil film force, the nonlinear seal force, and the mass eccentricity of the disk. The equations of the motion are solved effectively using the fourth order Runge-Kutta method in MATLAB. The dynamic behavior of the system is illustrated by bifurcation diagrams, largest Lyapunov exponents, phase trajectory diagrams, and Poincaré maps. The numerical results show that the rotational speed of the rotor, the pressure drop in the seal, the seal length, the seal clearance, and the mass eccentricity of the disk are the key parameters that significantly affect the dynamic characteristics of the rotor system. The motion of the rotor system exhibits complex types of periodic, quasi-periodic, double-periodic, multi-periodic, and chaotic vibrations. This analysis can be used to guide the design of seal parameters and to diagnose the vibration of rotor/bearing/seal systems.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Al-Nahwi, A.A., Paduano, J.D., Nayfeh, S.A., 2003. Aerodynamic-rotordynamic interaction in axial compression systems-part II: impact of interaction on overall system stability. Journal of Turbomachinery, 125(3):416-424.

[2]Chang-Jian, C.W., 2010a. Non-linear dynamic analysis of dual flexible rotors supported by long journal bearings. Mechanism and Machine Theory, 45(6):844-866.

[3]Chang-Jian, C.W., 2010b. Nonlinear analysis for gear pair system supported by long journal bearings under nonlinear suspension. Mechanism and Machine Theory, 45(4):569-583.

[4]Chang-Jian, C.W., Chen, C.K., 2006a. Bifurcation and chaos of a flexible rotor supported by turbulent journal bearings with non-linear suspension. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 220(6):549-561.

[5]Chang-Jian, C.W., Chen, C.K., 2006b. Nonlinear dynamic analysis of a flexible rotor supported by micropolar fluid film journal bearings. International Journal of Engineering Sciences, 44(15-16):1050-1070.

[6]Chang-Jian, C.W., Chen, C.K., 2007a. Chaos and bifurcation of a flexible rub-impact rotor supported by oil film bearings with non-linear suspension. Mechanism and Machine Theory, 42(3):312-333.

[7]Chang-Jian, C.W., Chen, C.K., 2007b. Bifurcation and chaos analysis of a flexible rotor supported by turbulent long journal bearings. Chaos Solitons and Fractals, 34(4):1160-1179.

[8]Cheng, M., Meng, G., Jing, J.P., 2007a. The nonlinear dynamical behaviors of a rotor-bearing-seal system. Journal of Shanghai Jiaotong University, 41(3):398-403 (in Chinese).

[9]Cheng, M., Meng, G., Jing, J.P., 2007b. Numerical and experimental study of a rotor-bearing-seal system. Mechanism and Machine Theory, 42(8):1043-1057.

[10]Cheng, M., Meng, G., Jing, J.P., 2008. Numerical analysis of nonlinear rotor-bearing-seal system. Journal of Shanghai Jiaotong University (Science), 13(4):418-425.

[11]Huang, L., Huang, P.W., Liu, Y.H., Wei, J.L., Qiu, Y.J., Jiang, B.H., 2007. Study of nonlinear dynamic characteristics of turbine rotor system under oil-film force, Alford force and quality eccentricity. Turbine Technology, 49(6):428-431, 438 (in Chinese).

[12]Li, Z.G., 2007. Research on the Nonlinear Dynamic Characteristics of a Rotor-Bearing-Seal System. MS Thesis, Harbin University of Technology, Harbin, China (in Chinese).

[13]Luo, T.S., Wang, S.L., Guo, Y.M., 2007. Application of high-dimensional dynamic system in rotor stability analysis. Journal of Zhejiang University (Engineering Science), 41(6):959-962 (in Chinese).

[14]Mei, F.X., Liu, J.L., 1987. Introduction to Analysis Mechanics. Xi’an Jiaotong University Press, Xi’an, China (in Chinese).

[15]Muszynska, A., Bently, D.E., 1990. Frequency-swept rotating input perturbation techniques and identification of the fluid force models in rotor/bearing/seal systems and fluid handling machines. Journal of Sound and Vibration, 143(1):103-124.

[16]Rosenstein, M.T., Collins, J.J., de Luca, C.J., 1993. A practical method for calculating largest Lyapunov exponents from small data sets. Physica D: Nonlinear Phenomena, 65(1-2):117-134.

[17]Shen, X.Y., 2007. Study on Vibration of Ultra Supercritical Turbine Rotor Systems and Nonlinear Dynamics of Several Rotor Systems with Faults. PhD Thesis, Shanghai Jiao Tong University, Shanghai, China (in Chinese).

[18]Wang, L.P., Li, X.F., Shi, T.L., Yang, S.Z., 1999. Nonlinear dynamic model of continuous rotor systems. Turbine Technology, 41(2):97-99 (in Chinese).

[19]Wang, W.Z., Liu, Y.Z., Meng, G., Jiang, P.N., 2009. Nonlinear analysis of orbital motion of a rotor subject to leakage air flow through an interlocking seal. Journal of Fluids and Structures, 25(5):751-765.

[20]Wang, Y.F., Wang, X.Y., 2010. Nonlinear vibration analysis for a Jeffcott rotor with seal and air-film bearing excitations. Mathematical Problems in Engineering, Article 657361, p.1-14.

[21]Xu, X.F., Zhang, W., 2000. Bifurcation and chaos of rigid unbalance rotor in short bearings under an unsteady oil film force model. Journal of Vibration Engineering, 13(2):247-252 (in Chinese).

[22]Zeng, P., 2004. Finite Element Analysis and Applications. Tsinghua University Press, Beijing (in Chinese).

[23]Zhang, W., 1990. The Theoretical Base of Rotordynamic. Science Press, Beijing (in Chinese).

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE