刘韧,王晓力．微气体螺旋槽推力轴承润滑数值模拟[J]．机械工程学报,2010,46(21)：113-117．Liu Ren,Wang Xiaoli．Numerical predication of the performance of micro gas lubricated spiral groove thrust bearing[J]．Journal of Mechanical Engineering,2010,46(21)：113-117(in Chinese)．
[2]
Schiffmann J,Favrat D．The effect of real gas on the properties of herringbone grooved journal bearings [J]．Tribology International,2010,43(9)：1602-1614．
[3]
Zhang Wenming,Zhou Jianbing,Meng Guang．Performance and stability analysis of gas-lubricated journal bearings in MEMS[J]．Tribology International,2011,44(7)：887-897．
[4]
Wang Cheng-Chi．Bifurcation and nonlinear dynamic analysis of united gas-lubricated bearing system [J]．Computers and Mathematics with Applications,2012,64(5)：729-738．
[5]
Liu L X,Teo C J,Epstein A H,et al．Hydrostatic gas journal bearings for micro-turbomachinery[J]．ASME Transactions Journal of Vibration and Acoustics,2005,127(2)：157-164．
[6]
Zhu X H,Andrés L S．Rotordynamic performance of flexure pivot hydrostatic gas bearings for oil-free turbomachinery[J]．ASME Transactions Journal of Engineering for Gas Turbines and Power,2007,129(4)：1020-1027．
[7]
周权,赵祥雄,陈汝刚,等．基于有限差分法的动压气体止推轴承静态特性分析[J]．润滑与密封,2009,34(8)：6-9．Zhou Quan,Zhao Xiangxiong,Chen Rugang,et al．Static characteristic analysis of aerodynamic gas thrust bearing based on finite difference method[J]．Lubrication Engineering,2009,34(8)：6-9(in Chinese)．
[8]
Yang Lihua,Li Huiguang,Yu Lie．Dynamic stiffness and damping coefficients of aerodynamic tilting-pad journal bearings[J]．Tribology International,2007,40(9)：1399-1410．
[9]
Yang Lihua,Qi Shemiao,Yu Lie．Numerical analysis on dynamic coefficients of self-acting gas-lubricated tilting-pad journal bearings[J]．ASME Transactions Journal of Tribology,2008,130(1)：011006-1-11．
[10]
Yang Lihua,Qi Shemiao,Yu Lie．Analysis on dynamic performance of hydrodynamic tilting-pad gas bearings using partial derivative method[J]．ASME Transactions Journal of Tribology,2009,131(1)：011703-1-8．
[11]
Yang Lihua,Qi Shemiao,Geng Haipeng,et al．Stability analysis on rotor systems supported by self-acting tilting-pad gas bearings with frequency effects[J]．Chinese Journal of Mechanical Engineering,2011,24(3)：380-385．
[12]
Bou-saïd B,Grau G,Iordanoff I．On the nonlinear rotor dynamic effects of aerodynamic bearings with simple flexible rotors[J]．ASME Transactions Journal of Engineering for Gas Turbines and Power,2008,130(1)：012503-1-9．
[13]
Wang Chengchi,Jang Mingjyi,Yeh Yenliang．Bifurcation and nonlinear dynamic analysis of a flexible rotor supported by relative short gas journal bearings[J]．Chaos,Solitons and Fractals,2007,32(4)：566-582．
[14]
Wang Chengchi．Theoretical and nonlinear behavior analysis of a flexible rotor supported by a relative short herringbone-grooved gas journal bearing system [J]．Physica D：Nonlinear Phenomena,2008,237(18)：2282-2295．
[15]
Wang Chengchi,Yau Herterng．Application of a hybrid numerical method to the bifurcation analysis of a rigid rotor supported by a spherical gas journal bearing system[J]．Nonlinear Dynamics,2008,51(4)：515-528．
[16]
Wang Chengchi．Application of a hybrid method to the nonlinear dynamic analysis of a flexible rotor supported by a spherical gas-lubricated Bearing system[J]．Nonlinear Analysis：Theory,Methods and Applications,2009,70(5)：2035-2053．
[17]
Yang Pang,Zhu Keqin,Wang Xiaoli．On the non-linear stability of self-acting gas journal bearings[J]．Tribology International,2009,42(1)：71-76．
[18]
Zhang Jiazhong,Kang Wei,Liu Yan．Numerical method and bifurcation analysis of Jeffcott rotor system supported in gas journal bearings[J]．ASME Transactions Journal of Computational and Nonlinear Dynamics,2009,4(1)：011007-1-9．
[19]
Wang Weimin,Lu Yanjun,Cao Zhijun,et al．Nonlinear behaviors and bifurcation of flexible rotor system with axial-grooved self-acting gas bearing support [J]．Advanced Science Letters,2011,4(4-5)：1796-1802．
[20]
Lü Yanjun,Zhang Yongfang,Shi Xiaolei,et al．Nonlinear dynamic analysis of a rotor system with fixed-tilting-pad self-acting gas-lubricated bearings support[J]．Nonlinear Dynamics,2012,69(3)：877-890．
[21]
蒋科坚,祝长生．基于在线识别对转速不敏感的主动电磁轴承转子系统不平衡振动控制[J]．中国电机工程学报,2010,30(6)：93-99．Jiang Kejian,Zhu Changsheng．On-line identification based unbalance vibration control with less regard to rotor speed in active magnetic bearings supporting rotor system[J]．Proceedings of the CSEE,2010,30(6)：93-99(in Chinese)．
[22]
吕延军,张永芳,季丽芳,等．固定瓦-可倾瓦滑动轴承转子非线性系统的动力特性分析[J]．中国电机工程学报,2010,30(20)：79-87．Lü Yanjun,Zhang Yongfang,Ji Lifang,et al．Analysis of dynamic characteristics of rotor nonlinear system supported by fixed-tilting pad journal bearings [J]．Proceedings of the CSEE,2010,30(20)：79-87(in Chinese)．
[23]
马辉,张志,太兴宇,等．不同载荷下基座松动转子系统动力学特性分析[J]．中国电机工程学报,2012,32(6)：132-137.Ma Hui,Zhang Zhi,Tai Xingyu,et al．Dynamic characteristic analysis of a rotor system with pedestal looseness under two load cases[J]．Proceedings of the CSEE,2012,32(6)：132-137(in Chinese)．
[24]
田拥胜,孙岩桦,虞烈．高速永磁电机电磁轴承转子系统的动力学及实验研究[J]．中国电机工程学报,2012,32(9)：116-123.Tian Yongsheng,Sun Yanhua,Yu Lie．Dynamical and experimental researches of active magnetic bearing rotor systems for high-speed PM machines[J]．Proceedings of the CSEE,2012,32(9)：116-123(in Chinese)．
[25]
朱志莹,孙玉坤．群优化支持向量机的磁轴承转子位移预测建模[J]．中国电机工程学报,2012,32(33)：118-123．Zhu Zhiying,Sun Yukun．Predictive modeling of rotor displacement for magnetic bearing using particle swarm optimized-least squares support vector machines [J]．Proceedings of the CSEE,2012,32(33)：118-123(in Chinese)．
[26]
Alims M S,Hou Z K,Noori M N．Stability and performance of feedback control systems with time delays [J]．Computers and Structures,1998,66(2-3)：241-248．
[27]
JI J C．Stability and Hopf bifurcation of a magnetic bearing system with time delays[J]．Journal of Sound and Vibration,2003,259(4)：845-856．
[28]
JI J C,Hansen C H．Stability and dynamics of a controlled van der Pol-Duffing oscillator[J]．Chaos,Solitons and Fractals,2006,28(2)：555-570．
[29]
孙清,刘正伟,伍晓红,等．含双时滞振动主动控制系统的稳定性分析[J]．西安交通大学学报,2006,28(2)：112-116．Sun Qing,Liu Zhengwei,Wu Xiaohong,et al．Stability analysis of active vibration control system involving double time delays[J]．Journal of Xi’an Jiaotong University,2006,28(2)：112-116(in Chinese)．
[30]
孙清,张斌,伍晓红,等．含双时滞主动控制系统平凡平衡解稳定性的数值分析[J]．西安交通大学学报,2010,44(3)：102-106．Sun Qing,Zhang Bin,Wu Xiaohong,et al．Numerical analysis for stability of trivial equilibrium solution of active control systems with double time delays[J]．Journal of Xi’an Jiaotong University,2010,44(3)：102-106(in Chinese)．
[31]
赵家奎．微分变换及其在电路中的应用[M]．武汉：华中科技大学,1986：168-172．Zhao Jiakui．Differential transformation and its applications for electrical circuits[M]．Wuhan：Huazhong University Press,1986：168-172 (in Chinese)．
[32]
Jang Ming-Jyi,Chen Chieh-Li,Liu Yung-Chin．Two- dimensional differential transform for partial differential equations[J]．Applied Mathematics and Computation,2001,121(2-3)：261-270．
[33]
Abdel-halim Hassan I H．Differential transformation technique for solving higher-order initial value problems [J]．Applied Mathematics and Computation,2004,154(2)：299-311．
[34]
Abdel-halim Hassan I H．Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems [J]．Chaos,Solitons and Fractals,2008,36(1)：53-65．
[35]
钟万勰．结构动力方程的精细时程积分法[J]．大连理工大学学报,1994,34(2)：131-135．Zhong Wanxie．On precise time-integration method for structural dynamics[J]．Journal of Dalian University of Technology,1994,34(2)：131-135(in Chinese)．
