[1] 晏砺堂. 航空燃气轮机振动和减振[M]. 北京: 国防工业出版社, 1991.Yan Litang. Vibration and vibration reduction of aero gas turbine[M]. Beijing： National Defense Industrial Press, 1991. (in Chinese)
[2] 邓明. 航空燃气涡轮发动机原理与构造[M]. 北京: 国防工业出版社, 2008.Deng Ming. Theory and structure of aero gas turbine engines[M]. Beijing: National Defense Industrial Press, 2008. (in Chinese)
[3] 刘长福, 邓明. 航空发动机结构分析[M]. 西安: 西北工业大学出版社, 2006. Liu Changfu, Deng Ming. Structural analysis of aero engines[M]. Xi’an: Northwestern Polytechnical University Press, 2006. (in Chines)
[4] 姜晓莲, 王斌. 浅析未来航空发动机的发展[J]. 航空科学技术, 2010(2): 10-12. Jiang Xiaolian, Wang Bin. Brief discuss on future aero engine technology[J]. Aeronautical Science and Technology, 2010(2): 10-12. (in Chinese)
[5] 吴大观. 探讨我国航空发动机发展中出现的问题[J]. 燃气涡轮实验与研究, 2010, 13(4): 1-4. Wu Daguan. Inquire into problems of the development of aero-engine in China[J]. Gas Turbine Experiment and Research, 2010, 13(4): 1-4. (in Chinese)
[6] 庞辉. 多转子系统动力特性分析及应用研究[D]. 西安: 西北工业大学机电学院, 2005. Pang Hui. Dynamic characteristic analysis and usage of multi-rotor system[D]. Xi’an: School of Mechanical Engineering, Northwestern Polytechnical University, 2005. (in Chinese)
[7] 史峰, 杜建标, 程礼. 双转子动力学研究[J]. 机械与电子, 2008(10): 56-58. Shi Feng, Du Jianbiao, Cheng Li. The studies on the dynamics of the double-rotors system[J]. Machinery & Electronics, 2008(10): 5658. (in Chinese)
[8] 熊纯, 都昌兵. 双转子航空发动机转子动平衡研究[J]. 长沙航空职业技术学院学报, 2009, 9(2): 33-36. Xiong Chun, Du Changbing. Research on rotor transient equilibrium of double rotor aircraft engine[J]. Journal of Changsha Aeronautical Vocational and Technical College, 2009, 9(2): 33-36. (in Chinese)
[9] 胡绚, 罗贵火, 高德平. 反向旋转双转子稳态响应计算分析与试验[J]. 航空动力学报, 2007, 22(7): 1044-1049. Hu Xuan, Luo Guihuo, Gao Deping. Numerical analysis and experiment of counter-rotating dual-rotor’s steady-state response[J].Journal of Aerospace Power, 2007, 22(7): 1044-1049. (in Chinese)
[10] 罗贵火, 胡绚, 杨喜观. 反向旋转双转子系统非线性分析[J]. 振动工程学报, 2009, 22(3): 268-273. Luo Guihuo, Hu Xuan, Yang Xiguan. Nonlinear dynamic performance analysis of counter-rotating dual-rotor system[J]. Journal of Vibration Engineering, 2009, 22(3): 268-273. (in Chinese)
[11] 韩军, 高德平, 胡绚, 等. 航空发动机双转子系统的拍振分析[J]. 航空学报, 2007, 28(6): 1369-1373.Han Jun, Gao Deping, Hu Xuan, et al. Research on beat vibration of dual-rotor for aero-engine[J]. Acta Aeronautica et Astronautica Sinica, 2007, 28(6): 1369-1373. (in Chinese)
[12] Harsha S P. Non-linear dynamic response of a balanced rotor supported on rolling element bearings[J]. Mechanical Systems and Signal Processing, 2005, 19(3): 551-578.
[13] Sunnersjo C S. Varying compliance vibrations of rolling bearings[J]. Journal of Sound and Vibration, 1978, 58(3): 363-373.
[14] Fukata S, Gad E H, Tamura H. On the radial vibration of ball bearings：computer simulation[J]. Bulletin of JSME, 1985, 28(239): 899-904.
[15] Mevel B, Guyader J L. Routes to chaos in ball bearings[J]. Journal of Sound and Vibration, 1993, 162(3): 471-487.
[16] Sankaravelu A, Noah S T, Burger C P. Bifurcation and chaos in ball bearings[C]∥Proceedings of the 1994 International Mechanical Engineering Congress and Exposition. New York: ASME, 1994: 313-318.
[17] Childs W. Fractional frequency rotor motion due to clearance effects[J]. Journal of Engineering Power, 1982, 104(3): 533-536.
[18] Saito S. Calculation of nonlinear unbalance response of horizontal Jeffcott rotors supported by ball bearings with radial clearances[J]. Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1985, 107(4): 416-420.
[19] Kim Y B, Noah S T. Bifurcation analysis for a modified Jeffcott rotor with bearing clearances[J]. Nonlinear Dynamics, 1990, 1(3): 221-241.
[20] Tiwari M, Gupta K. Effect of radial internal clearance of a ball bearing on the dynamics of a balanced horizontal rotor[J]. Journal of Sound and Vibration, 2000, 238(5): 723-756.
[21] Tiwari M, Gupta K. Dynamic response of an unbalanced rotor supported on ball bearings[J]. Journal of Sound and Vibration, 2000, 238(5): 757-779.
[22] Harsha S P, Sandeep K, Prakash R. The effect of speed of balanced rotor on nonlinear vibrations associated with ball bearings[J]. Mechanical Sciences, 2003, 45(4): 725-740.
[23] Lioulios A N, Antoniadis I A. Effect of rotational speed fluctuations on the dynamic behaviour of rolling element bearings with radial clearances[J]. International Journal of Mechanical Sciences, 2006, 48(8): 809-829.
[24] Aktürk N. The effect of waviness on vibrations associated with ball bearings[J]. Journal of Tribology, 1999, 121(4): 667-677.
[25] Harsha S P, Sandeep K, Prakash R. Nonlinear dynamic behaviors of rolling element bearings due to surface waviness[J]. Journal of Sound and Vibration, 2004, 272(3-5): 557-580.
[26] Bai C Q, Xu Q Y, Zhang X L. Nonlinear stability of balanced rotor due to the effect of ball bearing internal clearance[J]. Applied Mathematics and Mechanics: English Edition, 2006, 27(2): 23-48.
[27] 唐云冰, 高德平, 罗贵火. 滚动轴承非线性轴承力及其对轴承系统振动特性的影响[J]. 航空动力学报, 2006, 21(2): 366-373. Tang Yunbing, Gao Deping, Luo Guihuo. Non-linear bearing force of the rolling ball bearing and its influence on vibration of bearing system[J]. Journal of Aerospace Power, 2006, 21(2): 366-373. (in Chinese)
[28] 袁茹, 赵凌燕, 王三民. 滚动轴承-转子系统的非线性动力学特性分析[J]. 机械科学与技术, 2004, 24(10): 1175-1177. Yuan Ru, Zhao Lingyan, Wang Sanmin. Analysis of the nonlinear dynamic behaviors of a rolling bearing-rotor system[J]. Mechanical Science and Technology, 2004, 24(10): 1175-1177. (in Chinese)
[29] Jang G H, Jeong S W. Nonlinear excitation model of ball bearing waviness in a rigid rotor supported by two or more ball bearings considering five degrees of freedom[J]. Journal of Tribology, 2002, 124(1): 82-90.
[30] Bai C Q, Xu Q Y. Dynamic model of ball bearings with internal clearance and waviness[J]. Journal of Sound and Vibration, 2006, 294(1-2): 23-48.
[31] Harsha S P. Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing[J]. Chaos, Solitons and Fractals, 2005, 26(1): 47-66.
[32] Harsha S P. Nonlinear dynamic response of a balanced rotor supported by rolling element bearings due to radial internal clearance effect[J]. Mechanism and Machine Theory, 2006, 41(6): 688-706.
[33] 韩宝财, 唐六丁, 邓四二, 等. 多频耦合的航空发动机转子系统动力特性分析[J]. 振动与冲击, 2008, 27(8): 25-28. Han Baocai, Tang Liuding, Deng Sier, et al. Dynamic prosperities analysis of multi-frequencies coupled rotor system in aircraft engine[J]. Journal of Vibration and Shock, 2008, 27(8): 25-28. (in Chinese)
[34] 孟瑾, 邓四二, 唐六丁, 等. 高速圆柱滚子轴承非线性刚度分析[J]. 机械设计与制造, 2005(7): 131-133. Meng Jin, Deng Sier, Tang Liuding, et al. Nonlinearity rigidity analysis of high-speed cyclinderical roller bearing [J]. Machinery Design & Manufacture, 2005(7): 131-133. (in Chinese)
[35] 张耀强, 陈建军, 唐六丁, 等. 滚动轴承-转子系统非线性参数、强迫联合振动[J]. 机械强度, 2009, 31(6): 871-875. Zhang Yaoqiang, Chen Jianjun, Tang Liuding, et al. Nonlinear vibration of a rolling bearing-rotor system subject to parametrical and external excitations[J]. Journal of Mechanical Strength, 2009, 31(6): 871-875. (in Chinese)
[36] 周海仑, 陈果. 航空发动机双转子-滚动轴承-机匣耦合系统动力学分析[J]. 航空动力学报, 2009, 24(6): 1284-1291. Zhou Hailun, Chen Guo. Dynamic response analysis of dual rotor-ball bearing-stator coupling system for aero engine[J]. Journal of Aerospace Power, 2009, 24(6): 1284-1291. (in Chinese)
[37] 陈果. 航空发动机整机耦合动力学模型及振动分析[J]. 力学学报, 2010, 42(3): 548-559. Chen Guo. Coupling dynamic model and dynamic analysis for whole aero-engine[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 548-559. (in Chinese)
[38] 林左鸣, 李克安, 杨胜群. 航空发动机压气机转子叶片声激振试验研究[J]. 动力学与控制学报, 2010, 8(1): 12-18. Lin Zuoming, Li Ke’an, Yang Shengqun. Experimental research on sound waves excitation to aero engine compressor rotor blade[J]. Journal of Dynamics and Control, 2010, 8(1): 12-18. (in Chinese)
[39] Holehouse I. Sonic fatigue of aircraft structures due to fan noise[J]. Journal of the Acoustical Society of America, 1970, 47(1): 115-123.
[40] 林左鸣, 李克安, 杨胜群. 声波激振的微观机理探讨[J]. 南京航空航天大学学报, 2010, 42(6): 675-679. Lin Zuoming, Li Ke’an, Yang Shengqun. Investigation on micro-theory of sound wave excitation[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2010, 42(6): 675-679. (in Chinese)
[41] 林左鸣, 李克安, 杨胜群. 航空发动机转子叶片的声波激振机理探讨[J]. 湖南理工学院学报: 自然科学版, 2009, 22(3): 47-51. Lin Zuoming, Li Ke’an, Yang Shengqun. Investigation on sound waves excitation to aero-engine rotor blade[J]. Journal of Hunan Institute of Science and Technology: Natural Science, 2009, 22(3): 47-51. (in Chinese)
[42] Cunningham P R, White R G. A review of analytical methods for aircraft structures subjected to high-intensity random acoustic loads[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2004, 218(3): 231-242.
[43] Li K A, Xiao H, Cui R F. Bifurcation control of nonlinear oscillator in primary and secondary resonance[J]. Journal of Central South University of Technology, 2007, 14(6): 826-831.
[44] 何凤平, 张鹏峰, 邵锦文. 涡喷发动机压气机转子叶片的故障分析及研究[J]. 战术导弹技术, 2007(4): 25-27. He Fengping, Zhang Pengfeng, Shao Jinwen. Analysis and study of the failure of compressor rotor blade used for turbojet engine[J]. Tactical Missile Technology, 2007(4): 25-27. (in Chinese)
[45] 洪杰, 张大义, 陈璐璐. 气流激励下的叶片高周疲劳寿命研究的发展[J]. 航空动力学报, 2009, 24(3): 652-661. Hong Jie, Zhang Dayi, Chen Lulu. Review on investigation of high cycle fatigue failures for the aero engine blade[J]. Journal of Aerospace Power, 2009, 24(3): 652-661. (in Chinese)
[46] 李其汉, 王延荣, 王建军. 航空发动机叶片高循环疲劳失效研究[J]. 航空发动机, 2003, 29(4): 16-18. Li Qihan, Wang Yanrong, Wang Jianjun. Investigation of high cycle fatigue failures for the aero engine blades[J]. Aeroengine, 2003, 29(4): 16-18. (in Chinese)
[47] 傅国如, 禹泽民, 王洪伟. 航空涡喷发动机压气机转子叶片常见失效模式的特点与规律[J]. 失效分析与预防, 2006, 1(1): 18-24. Fu Guoru, Yu Zemin, Wang Hongwei. Main failure attributes and rule of compressor-blades in aero-engines[J]. Failure Analysis and Prevention, 2006, 1(1): 18-24. (in Chinese)
[48] 王桂华, 李琳. 航空发动机风扇机匣行波振动的分析方法[J]. 航空动力学报, 2000, 15(2): 183-186. Wang Guihua, Li Lin. Method for traveling wave vibration analysis of fan casing in aeroengine[J]. Journal of Aerospace Power, 2000, 15(2): 183-186. (in Chinese)
[49] 曹茂国, 李琳. 航空发动机机匣结构声疲劳分析技术[J]. 航空发动机, 1999, 25(2): 46-49. Cao Maoguo, Li Lin. The analysis technology for sonic fatigue of aero-engine casing[J]. Aeroengine, 1999, 25(2): 46-49. (in Chines)
[50] 葛森, 曹琦, 邵闯, 等. 飞机壁板结构的高温声疲劳试验方法[J]. 实验力学, 1997, 12(4): 593-598. Ge Sen, Cao Qi, Shao Chuang, et al. Testing method for the sonic fatigue of aircraft panel structure at elevated temperature[J]. Journal of Experimental Mechanics, 1997, 12(4): 593-598. (in Chinese)
[51] 葛森, 周枝伦. 飞机壁板结构的声疲劳计算及试验[J]. 航空学报, 1990, 11(11): 595-598. Ge Sen, Zhou Zhilun. Calculation and experimental study on sonic fatigue life of aircraft structural panels[J]. Acta Aeronautica et Astronautica Sinica, 1990, 11(11): 595-598. (in Chinese)
[52] 张春月, 沙云东, 王英. 航空薄壁板结构高温声疲劳分析[J]. 航空发动机, 2008, 34(2): 22-26. Zhang Chunyue, Shao Yundong, Wang Ying. High temperature sonic fatigue analysis of aeroengine thin-wall panel structure[J]. Aeroengine, 2008, 34(2): 22-26. (in Chinese)
[53] 姚进. 制定飞机结构声疲劳载荷谱的方法研究[J]. 航空学报, 1996, 17(S1): S113-S115. Yao Jin. A method for developing sonic fatigue test spectrum of aircraft structure[J]. Acta Aeronautica et Astronautica Sinica, 1996, 17(S1): S113-S115. (in Chinese)
[54] 徐绯, 肖寿庭. 结构声疲劳寿命估算中的随机响应分析-功率谱密度法[J]. 机械科学与技术, 1996, 15(6): 859-862. Xu Fei, Xiao Shouting. The random response analysis in the structure sonic fatigue life estimation power spectral density method[J]. Mechanical Science and Technology, 1996, 15(6): 859-862. (in Chinese)
[55] 孙扬, 刘振德, 郑严, 等. 某涡喷发动机中介机匣振动模态分析[J]. 推进技术, 2001, 22(6): 486-488. Sun Yang, Liu Zhende, Zheng Yan, et al. Modal analysis on middle casing of turbojet engine[J]. Journal of Propulsion Technology, 2001, 22(6): 486-488. (in Chinese)
[56] 蔡显新, 肖新红, 王涛, 等. 风扇机匣的减振优化设计[J]. 航空动力学报, 2010, 25(2): 396-401.Cai Xianxin, Xiao Xinhong, Wang Tao, et al. Optimization design of a fan casing for reducing vibration[J]. Journal of Aerospace Power, 2010, 25(2): 396-401. (in Chinese)
[57] Mathias L, Christophe P, Patrice C. Two-dimensional modeling of an aircraft engine structural bladed disk casing modal interaction[J]. Journal of Sound and Vibration, 2009, 319(1): 366-391.
[58] 宣海军, 陆晓, 洪伟荣, 等. 航空发动机机匣包容性研究综述[J]. 航空动力学报, 2010, 25(8): 1860-1870. Xuan Haijun, Lu Xiao, Hong Weirong, et al. Review of aero-engine case containment research[J]. Journal of Aerospace Power, 2010, 25(8): 1860-1870. (in Chinese)
[59] Wu R W H, Witmer E A. Approximate analysis of containment/deflection ring response to engine rotor fragment impact[J]. Journal of Aircraft, 1973, 10(1): 28-37
[60] Gerstle J H. Analysis of rotor fragment impact on ballistic fabric engine burst containment shield[J]. Journal of Aircraft, 1975, 12(4): 388-393.
[61] Sarkar S, Atluri S N. Effects of multiple blade interaction on the containment of blade fragments during a rotor failure[J]. Finite Elements in Analysis and Design, 1996, 23(2-4): 211-223.
[62] 宣海军, 洪伟荣, 吴荣仁. 航空发动机涡轮叶片包容试验及数值模拟[J]. 航空动力学报, 2005, 20(5): 762-767. Xuan Haijun, Hong Weirong, Wu Rongren. Aero-engine turbine blade containment tests and numerical simulation[J]. Journal of Aerospace Power, 2005, 20(5): 762-767. (in Chinese)
[63] 范志强. 航空发动机机匣包容性理论和试验研究[D]. 南京: 南京航空航天大学能源与动力学院, 2006. Fan Zhiqiang. Theory and experimental study on aeroengine casing containment[D]. Nanjing: College of Energy & Power Engineering, Nanjing University of Aeronautics and Astronautics, 2006. (in Chinese)
[64] 于亚彬, 陈伟. 模型机匣/叶片的包容性数值分析[J]. 航空动力学报, 2005, 20(3): 429-433. Yu Yabin, Chen Wei. Numerical analysis of the modeled blade/casing containment[J]. Journal of Aerospace Power, 2005, 20(3): 429-433. (in Chinese)
[65] 姜涛，覃志贤，范志强. 航空发动机机匣包容性试验的数值模拟[J]. 燃气涡轮试验与研究, 2008, 21(4): 34-37. Jiang Tao, Qin Zhixian, Fan Zhiqiang. Numerical simulation on aero-engine casing containment test[J]. Gas Turbine Experiment and Research, 2008, 21(4): 34-37. (in Chinese)
[66] 林富生, 孟光. 飞行器机动飞行时等速发动机转子的动力学特性研究[J]. 中国机械工程, 2003, 14(19): 1634-1637. Lin Fusheng, Meng Guang. Dynamic characteristics of maneuvering rotor in steady state motion[J]. China Mechanical Engineering, 2003, 14(19): 1634-1637. (in Chinese)
[67] 林富生, 孟光. 重力对具有初弯和不对称刚度机动转子特性的影响[J]. 机械强度, 2002, 24(3): 320-326. Lin Fusheng, Meng Guang. Influence of gravity on the dynamics of a maneuvering rotor with initial bending and asymmetry[J]. Journal of Mechanical Strength, 2002, 24(3): 320-326. (in Chinese)
[68] 徐敏, 廖明夫, 刘启洲. 机动飞行条件下双盘悬臂转子的振动特性[J]. 航空动力学报, 2002, 17(1): 105-109. Xu Min, Liao Mingfu, Liu Qizhou. The vibration performance of the double-disk cantilever rotor in flight mission[J]. Journal of Aerospace Power, 2002, 17(1): 105-109. (in Chinese)
[69] 魏海涛, 范晓明. 机动飞行中双转子系统的振动响应分析[C]∥中国航空学会第十届航空发动机结构强度与振动会议论文集. 2001: 315-320. Wei Haitao, Fan Xiaoming. The vibration reponse of the dual-rotor system in maneuver flight[C]∥Proceedings of 10th Conference of China Aviation Society on Structural Strength and Vibration of Aero Engine. 2001: 315-320. (in Chinese)
[70] 祝长生, 陈拥军. 机动飞行时航空发动机转子系统的振动特性[J]. 航空学报, 2006, 27(5): 835-841. Zhu Changsheng, Chen Yongjun. Vibration characteristics of aeroengine’s rotor system during maneuvering flight[J]. Acta Aeronautica et Astronautica Sinica, 2006, 27(5): 835-841. (in Chinese)
[71] Yu J J, Goldman P, Bently D E, et al. Rotor/Seal experimental and analytical study on full annular rub[J]. Journal of Engineering for Gas Turbines and Power, 2002, 124(2): 340-350.
[72] Muszynska A. Rotordynamics[M]. Florida: CRC Press, 2005.
[73] Zhang G F, Xu W N, Xu B, et al. Analytical study of nonlinear synchronous full annular rub motion of flexible rotor-stator system and its dynamic stability[J]. Nonlinear Dynamics, 2009, 57(4): 579-592.
[74] 许斌, 徐尉南, 张文. 单盘转子的同步全周碰摩及其稳定性分析[J]. 复旦学报: 自然科学版, 2006, 45(2): 148-154. Xu Bin, Xu Weinan, Zhang Wen. Study of synchronous full annular rub of Jeffcott rotor and its dynamic stability[J]. Journal of Fudan University: Natural Science, 2006, 45(2): 148-154. (in Chinese)
[75] 徐尉南, 张文, 许斌. 柔性转子-柔性静子系统的同步全周碰摩分析[J]. 振动与冲击, 2007, 106(2): 1-9. Xu Weinan, Zhang Wen, Xu Bin. Analtical study of system of synchronous full annular rub motion of flexible stator and rotor system[J]. Journal of Vibration and Shock, 2007, 106(2): 1-9. (in Chinese)
[76] Jiang J, Ulbrich H. Stability analysis of sliding whirling nonlinear Jeffcott rotor with cross-coupling stiffness coefficients[J]. Nonlinear Dynamics, 2001, 24(3): 269-283.
[77] 马建敏, 张文, 郑铁生. 单盘转子碰摩条件分析[J]. 精密制造与自动化, 2003(S1): 68-70. Ma Jianmin, Zhang Wen, Zheng Tiesheng. Analysis for rub-impact condition of Jeffcott rotor[J]. Grinder and Grinding, 2003(S1): 68-70. (in Chinese)
[78] 马建敏, 张文, 郑铁生. 转子系统参数对碰摩转速的影响[J]. 西南交通大学学报, 2003, 38(5): 537-539. Ma Jianmin, Zhang Wen, Zheng Tiesheng. Influence of rotor system parameters on critical rotation speed for rubbing[J]. Journal of Southwest Jiaotong University, 2003, 38(5): 537-539. (in Chinese)
[79] Lingener A. Experimental investigation of reverse whirl of a flexible rotor[C]∥Transactions of IFToMM 3rd International Conference on Rotordynamics. 1990: 13-18.
[80] Wu F S, Flowers G T. An experimental study of the influence of disk flexibility and rubbing on rotordynamics[C]∥ Proceedings of the 14th Biennial ASME Conference on Mechanical Vibration and Noise. 1993: 19-25.
[81] Bently D E, Yu J J, Goldman P, et al. Full annular rub in mechanical seals, Part I： experimental results[J]. International Journal of Rotating Machinery, 2002, 8(5): 319-328
[82] Zhang W. Dynamic instability of multi-degree-of-freedom flexible rotor systems due to full annular rub[J]. International Mechanical Engineering, 1988, 252(88): 305-308.
[83] Bartha A R. Dry friction induced backward whirl: theory and experiment[C]∥Proceedings of the 5th IFToMM Conference on Rotor Dynamics. 1998: 756-767.
[84] Black H F. Interaction of a whirling rotor with a vibrating stator across a clearance annulus[J]. Journal of Mechanical Engineering Science, 1968, 10(1): 1-12.
[85] Crandall S. From whirl to whip in rotordynamics[C]∥ Transactions of IFToMM 3rd International Conference on Rotordynamics. 1990: 19-26.
[86] Jiang J, Ulbrich H. The physical reason and the analytical condition for the onset of dry whip in rotor-to-stator contact systems[J]. Journal of Vibration and Acoustics, 2005, 127(6): 594-603.
[87] 刘献栋, 李其汉, 杨绍普. 质量偏心旋转机械整圈碰摩的稳定性及其Hopf分叉[J]. 振动工程学报, 1999, 12(1): 40-46. Liu Xiandong, Li Qihan, Yang Shaopu. The stability and Hopf bifurcation in the annular impact rub of rotating machinery with imbalance[J]. Journal of Vibration Engineering, 1999, 12(1): 40-46. (in Chinese)
[88] Groll G V, Ewins D J. The harmonic balance method with arc-length continuation in rotor/stator contact problems[J]. Journal of Sound and Vibration, 2001, 241(2): 223-233.
[89] Choi Y S. Investigation on the whirling motion of full annular rotor rub[J]. Journal of Sound and Vibration, 2002, 258(1): 191-198.
[90] Childs D W. Rub-induced parametric excitation in rotors[J]. Journal of Mechanical Design, Transactions of the ASME, 1979, 101(4): 640-644.
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