From the viewpoint of nonlinear dynamics, the stability and bifurcation of the rotor dynamical system supported in gas bearings are investigated. First, the dynamical model of gas bearing-Jeffcott rotor system is given, and the finite element method is used to approach the unsteady Reynolds equation in order to obtain gas film forces. Then, the method for stability analysis of the unbalance response of the rotor system is developed in combination with the Newmark-based direct integral method and Floquet theory. Finally, a numerical example is presented, and the complex behaviors of the nonlinear dynamical system are simulated numerically, including the trajectory of the journal and phase portrait. In particular, the stabilities of the system’s equilibrium position and unbalance responses are studied via the orbit diagram, phase space, Poincaré mapping, bifurcation diagram, and power spectrum. The results show that the numerical method for solving the unsteady Reynolds equation is efficient, and there exist a rich variety of nonlinear phenomena in the system. The half-speed whirl encountered in practice is the result from Hopf bifurcation of equilibrium, and the numerical method presented is available for the stability and bifurcation analysis of the complicated gas film-rotor dynamic system.
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e-mail: jzzhang@mail.xjtu.edu.cn
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January 2009
Research Papers
Numerical Method and Bifurcation Analysis of Jeffcott Rotor System Supported in Gas Journal Bearings
Jiazhong Zhang,
Jiazhong Zhang
School of Energy and Power Engineering,
e-mail: jzzhang@mail.xjtu.edu.cn
Xi’an Jiaotong University
, Xi’an 710049, Shaanxi Province, P.R.C.
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Wei Kang,
Wei Kang
School of Energy and Power Engineering,
Xi’an Jiaotong University
, Xi’an 710049, Shaanxi Province, P.R.C.
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Yan Liu
Yan Liu
Mechatronic Engineering College,
Northwestern Polytechnical University
, Xi’an 710072, Shaanxi Province, P.R.C.
Search for other works by this author on:
Jiazhong Zhang
School of Energy and Power Engineering,
Xi’an Jiaotong University
, Xi’an 710049, Shaanxi Province, P.R.C.e-mail: jzzhang@mail.xjtu.edu.cn
Wei Kang
School of Energy and Power Engineering,
Xi’an Jiaotong University
, Xi’an 710049, Shaanxi Province, P.R.C.
Yan Liu
Mechatronic Engineering College,
Northwestern Polytechnical University
, Xi’an 710072, Shaanxi Province, P.R.C.J. Comput. Nonlinear Dynam. Jan 2009, 4(1): 011007 (9 pages)
Published Online: November 12, 2008
Article history
Received:
August 27, 2007
Revised:
July 1, 2008
Published:
November 12, 2008
Citation
Zhang, J., Kang, W., and Liu, Y. (November 12, 2008). "Numerical Method and Bifurcation Analysis of Jeffcott Rotor System Supported in Gas Journal Bearings." ASME. J. Comput. Nonlinear Dynam. January 2009; 4(1): 011007. https://doi.org/10.1115/1.3007973
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