Nonlinear dynamic analysis of a rotor system with fixed-tilting-pad self-acting gas-lubricated bearings support
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  • 作者：Yanjun Lu (15) lyj_xaut@126.com
    Yongfang Zhang (2) zyf_nwpu@126.com
    Xiaolei Shi (3) sxl_xaut@126.com
    Weimin Wang (4) wwm_xjtu@126.com
    Lie Yu (4) yulie@mail.xjtu.edu.cn
  • 关键词：Fixed ; tilting ; pad self ; acting gas ; lubricated journal bearing – Differential transformation method – Direct integral method – Nonlinear – Bifurcation
  • 刊名：Nonlinear Dynamics
  • 出版年：2012
  • 出版时间：August 2012
  • 年：2012
  • 卷：69
  • 期：3
  • 页码：877-890
  • 全文大小：722.1 KB
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    2. Adiletta, G., Guido, A.R., Rossi, C.: Nonlinear dynamics of a rigid unbalanced rotor in short bearings. Part II: experimental analysis. Nonlinear Dyn. 14(2), 157–189 (1997)
    3. Shen, S., Zhen, Z.C., Ying, H.Q.: Nonlinear characteristics of gyroscopic rotor supported by unsteady oil-film bearing. Proc. SPIE Int. Soc. Opt. Eng. 4753(2), 1356–1361 (2002)
    4. Wang, J.K., Khonsari, M.M.: Bifurcation analysis of a flexible rotor supported by two fluid-film journal bearings. J. Tribol. 128(3), 594–603 (2006)
    5. Chang-Jian, C.W., Chen, C.K.: Bifurcation and chaos analysis of a flexible rotor supported by turbulent long journal bearings. Chaos Solitons Fractals 34(4), 1160–1179 (2007)
    6. Sun, M.L., Zhang, Z.M.: Experimental study of the film distribution of statically and dynamically loaded cylinder journal bearing (in Chinese). J. Shanghai Univ. Nat. Sci. 3(5), 500–507 (2007)
    7. Lu, Y.J., Dai, R., Hei, D., Zhang, Y.F., Liu, H., Yu, L.: Stability and bifurcation of a non-linear bearing-flexible rotor coupling dynamic system. Proc. Inst. Mech. Eng., Part C, J. Mech. Eng. Sci. 223(4), 835–849 (2009)
    8. Lu, Y.J., Ji, L.F., Zhang, Y.F., Wu, Y., Liu, H., Yu, L.: Dynamic behaviours of the rotor non-linear system with fixed-tilting-pad journal bearings support. Proc. Inst. Mech. Eng., Part J, J. Eng. Tribol. 224(10), 1037–1047 (2010)
    9. Chandra, M., Malik, M., Sinhasan, R.: Comparative study of four gas-lubricated noncircular journal bearing configurations. Tribol. Int. 16(2), 103–108 (1983)
    10. Yang, L.H., Li, H.G., Yu, L.: Dynamic stiffness and damping coefficients of aerodynamic tilting-pad journal bearings. Tribol. Int. 40(9), 1399–1410 (2007)
    11. Yang, L.H., Qi, S.M., Yu, L.: Numerical analysis on dynamic coefficients of self-acting gas-lubricated tilting-pad journal bearings. J. Tribol. 130(1), 011006 (2008)
    12. Yang, L.H., Qi, S.M., Yu, L.: Analysis on dynamic performance of hydrodynamic tilting-pad gas bearings using partial derivative method. J. Tribol. 131(1), 011703 (2009)
    13. Bou-Sa?d, B., Grau, G., Lordanoff, I.: On the nonlinear rotor dynamic effects of aerodynamic bearings with simple flexible rotors. J. Eng. Gas Turbines Power 130(1), 012503 (2008)
    14. Liu, L.X., Teo, C.J., Epstein, A.H., Spakovszky, Z.S.: Hydrostatic gas journal bearings for micro-turbomachinery. J. Vib. Acoust. 127(2), 157–164 (2005)
    15. Zhu, X.H., Andrés, L.S.: Rotordynamic performance of flexure pivot hydrostatic gas bearings for oil-free turbomachinery. J. Eng. Gas Turbines Power 129(4), 1020–1027 (2007)
    16. Wang, C.C., Chen, C.K.: Bifurcation analysis of self-acting gas journal bearings. J. Tribol. 123(4), 755–767 (2001)
    17. Wang, C.C., Jang, M.J., Yeh, Y.L.: Bifurcation and nonlinear dynamic analysis of a flexible rotor supported by relative short gas journal bearings. Chaos Solitons Fractals 32(2), 566–582 (2007)
    18. Wang, C.C., Yau, H.T.: Application of a hybrid numerical method to the bifurcation analysis of a rigid rotor supported by a spherical gas journal bearing system. Nonlinear Dyn. 51(4), 515–528 (2008)
    19. Wang, C.C.: Application of a hybrid method to the nonlinear dynamic analysis of a flexible rotor supported by a spherical gas-lubricated bearing system. Nonlinear Anal., Theory Methods Appl. 70(5), 2035–2053 (2009)
    20. Yang, P., Zhu, K.Q., Wang, X.L.: On the non-linear stability of self-acting gas journal bearings. Tribol. Int. 42(1), 71–76 (2009)
    21. Zhang, J.Z., Kang, W., Liu, Y.: Numerical method and bifurcation analysis of Jeffcott rotor system supported in gas journal bearings. J. Comput. Nonlinear Dyn. 4(1), 011007 (2009)
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    23. Rashidi Maibodi, R., Karami Mohammadi, A., Bakhtiari-Nejad, F.: Bifurcation and nonlinear dynamic analysis of a rigid rotor supported by two-lobe noncircular gas-lubricated journal bearing system. Nonlinear Dyn. 61(4), 783–802 (2010)
    24. Rashidi Maibodi, R., Karami Mohammadi, A., Bakhtiari-Nejad, F.: Preload effect on nonlinear dynamic behavior of a rigid rotor supported by noncircular gas-lubricated journal bearing systems. Nonlinear Dyn. 60(3), 231–253 (2010)
    25. Ertas, B.H., Camatti, M., Mariotti, G.: Synchronous response to rotor imbalance using a damped gas bearing. J. Eng. Gas Turbines Power 132(3), 032501 (2010)
  • 作者单位：1. School of Mechanical and Instrumental Engineering, Xi’an University of Technology, Xi’an, Shaanxi 710048, People’s Republic of China2. School of Printing and Packaging Engineering, Xi’an University of Technology, Xi’an, Shaanxi 710048, People’s Republic of China3. Building Machinery Co., XCMG Construction Machinery Co., Ltd., Xuzhou, Jiangsu 221004, People’s Republic of China4. Institute of Mechatronics and Information Systems, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, People’s Republic of China5. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400044 People’s Republic of China
  • 刊物类别：Engineering
  • 刊物主题：Vibration, Dynamical Systems and Control
    Mechanics
    Mechanical Engineering
    Automotive and Aerospace Engineering and Traffic
  • 出版者：Springer Netherlands
  • ISSN：1573-269X
文摘
Based on the nonlinear theory, the unbalanced responses of a fixed-tilting-pad gas-lubricated journal bearing-rigid rotor system are investigated. A time-dependent mathematical model is established to describe the pressure distribution of gas-lubricated journal bearing with nonlinearity. The rigid rotor supported by a fixed-tilting-pad self-acting gas-lubricated journal bearing is modeled. The differential transformation method has been employed to solve the time-dependent gas-lubricated Reynolds equation, and the dynamic motion equation has been solved by the direct integral method. The unbalanced responses of the rotor system supported by fixed-tilting-pad gas-lubricated journal bearings are analyzed by the orbit diagram, Poincaré map, time series, and spectrum diagram. The numerical results reveal periodic, period-3, and quasiperiodic motions of nonlinear behaviors of the system. Finally, the effects of pivot ratio and preload coefficient on the nonlinear dynamic characteristics of the fixed-tilting-pad self-acting gas-lubricated journal bearing-rotor system are investigated.

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