哈尔滨工业大学2021年博士研究生导师信息：曹登庆

哈尔滨工业大学航天学院飞行器动力学与振动控制团队责任教授、动力学与振动控制实验室主任，主要从事航天器、近空间飞行器、航空发动机、大型风力发电机等复杂机构与结构的非线性耦合动力学与振动控制方面的研究工作。先后主持、参与和完成包括国防973科技计划、国家973计划、国家自然科学基金、国防科工委等各类科研项目40余项。发表论文200余篇，SCI收录50余篇、EI收录70余篇。

曹登庆教授

传 真：0451 86413510

E-mail: dqcao@hit.edu.cn

通讯地址：哈尔滨市 南岗区 西大直街 92号 137信箱

• 1993年5月研究生毕业于西南交通大学固体力学专业 (研究方向：稳定性、振动与控制)，获工学博士学位；

• 1986年12月研究生毕业于西南交通大学一般力学专业 (研究方向：非线性振动)，获工学硕士学位；

• 1982年7月(本科)毕业于西南交通大学应用力学专业，获理学学士学位；

• 中国振动工程学会理事（2015）

• 中国振动工程学会非线性振动专业委员会副主任委员（2013）

• “应用力学与结构安全”四川省重点实验室学术委员会委员（2014）

• 中国振动工程学会随机振动专业委员会委员（2008）

• 《振动与冲击》编委（2007）

• 中国力学学会 一般力学专业委员会委员（2007）

• 中国力学学会 一般力学专业委员会非线性动力学与运动稳定性专业组副组长（2007）

• “机械设备健康维护”湖南省重点实验室学术委员会委员（2007）

主要研究方向:

航天器动力学与控制：大型空间组合体动力学、刚/柔耦合结构动力学、多执行机构协调控制及其在航天器动力学与系统控制问题中的应用；

结构动力学与振动控制：复杂转子系统动力学及其在汽轮机、航空发动机、燃气轮机转子振动与稳定性分析中的应用，结构振动的主/被动控制及其在车载、舰载、星载仪器设备的减/隔振问题中的应用；

流固耦合动力学：亚音速、跨音速、超音速、高超音速流中结构的气动颤振与控制及其在飞行器、高速列车、风力发电装备中的应用。

梁廷伟：博士，教授级高工, 研究方向: 航天器动力学与振动控制

侯 磊：博士，讲师，研究方向：非线性动力学与振动控制

颜志淼：博士，讲师，研究方向：流固耦合动力学与振动控制

谭 婷：博士，博士后，研究方向：非线性动力学与振动控制

赵 娜：博士，博士后，研究方向：流固耦合动力学与振动控制

1. 国家自然科学基金重点项目“大型柔性航天器姿态运动与结构振动的耦合动力学特性研究”，2018.01~2022.12；

2. 国家自然科学基金项目“大展弦比复合材料机翼非线性气动弹性特征与颤振研究”，2015-2018；

3. 国家自然科学基金重大研究计划培育项目“高超声速流中壁板的热弹性气动颤振及其主动控制”，2013-2015；

4. 国家973项目“时速500公里条件下的高速列车基础力学问题研究”子课题“复杂气动载荷下高速列车结构动态响应特性研究”，2011-2015；

5. 国防973项目子课题“***径向/轴向复合碰摩机理研究与试验验证”，2011-2014；

6. 国防973项目子课题“复杂环境下****的振动―摩擦―冲击机理研究”, 2011-2013；

7. 国家自然科学基金重大研究计划培育项目“高超声速飞行器的非线性耦合动力学与热弹性颤振控制”，2009-2011；

8. 国家自然科学基金项目 “细长结构非线性动力学及其在微系统工程中的应用”, 2008-2010。

Dr Dengqing Cao

Professor of Dynamics and Control

Head of the Aircraft Dynamics and Vibration Control Group

School of Astronautics

Harbin Institute of Technology

PO Box 137, Harbin 150001, PR China

Tel.: +86 (0)451 86414479

Fax.: +86 (0)451 86402822

Mobile: +86 (0)13936297630

E-mail: dqcao@hit.edu.cn; caojdq@yahoo.com.cn

PhD in Dynamics, Vibration and Control. Southwest Jiaotong University, P.R. China, Awarded June 1993.

MEng in Dynamics, Vibration and Control. Southwest Jiaotong University, P.R. China, Awarded July 1987.

BSc in Applied Mechanics. Southwest Jiaotong University, P.R. China, Awarded July 1982

My research spans the fields of Aircraft dynamics and system control, structural dynamics and vibration control, and fluid induced vibration and their applications in mechanical engineering and aerospace engineering.

Our research has been supported by the national government as well as industry. The current research projects are mainly foucsed on micro-vibration control of structures, aerodynamics and flutter of airfoil and thin panel, and vibro-impact vibration of rotating blades.

My laboratory, the Structural Vibration and Control Laboratory in Room 102 of the Gewu building, has a state-of-the-art vibration measurement and analysis facility, and various specialized test stands have been developed in-house for experimental validation purposes

Nonlinear Oscillations, for undergraduate students

Structural Vibration Control, for graduate students

Dynamics of Multi-Flexible-body Systems, for graduate students

Dynamics and Vibration Control of Complex Systems, for PhD Students

1. Chu SM, Cao DQ, Sun SP, Pan JZ and Wang LG. Impact vibration characteristics of shrouded blades with asymmetric gaps under wake flow excitations. Nonlinear Dynamics, 2013, 72(3): 539-554.

2. Xiaochun Gong and Dengqing Cao. Fuzzy proportional-integral-derivative control of an overhang rotor with double discs based on the active tilting pad journal bearing. Journal of Vibration and Control, 19(10), 1487-1498.

3. Hai Zhao and Dengqing Cao. A study on the aero-elastic flutter of stiffened laminated composite panel in the supersonic flow. Journal of Sound and Vibration, 2013, 332(19), 4668-4679.

4. Shupeng Sun, Dengqing Cao, Qingkai Han. Vibration Studies of Rotating Cylindrical Shells with Arbitrary Edges using Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method. International Journal of Mechanical Sciences, 2013, 68: 180-189.

5. Cao DQ, Song MT, Tucker RW, Zhu WD, Liu DS, Huang W H. Dynamic equations of thermo-elastic Cosserat rods. Communications in Nonlinear Science and Numerical Simulation, 2013, 18, 1880-1887.

6. Shupeng Sun, Dengqing Cao, Shiming Chu. Free vibration analysis of thin rotating cylindrical shells using wave propagation approach. Archive of Applied Mechanics, 2013, 83: 521-531.

7. D.Q. Cao, M.T. Song, W.D. Zhu, R.W. Tucker, C.H.-T. Wang. Modeling and analysis of the in-plane vibration of a complex cable-stayed bridge. Journal of Sound and Vibration, 2012, 331(26)，5685-5714.

8. Shunpeng Sun, Shiming Chu, Dengqing Cao. Vibration Characteristics of Thin Rotating Cylindrical Shells with Various Boundary Conditions. Journal of Sound and Vibration, 2012, 331(18)，4045-4056.

9. Li, Feng-Ming, Chen, Zhao-Bo, Cao, Deng-Qing. Improving the aeroelastic flutter characteristics of supersonic beams using piezoelectric material. Journal of Intelligent Material Systems and Structures, 2011, 22(7), 615-629.

10. Song MT, Cao DQ and Zhu WD. Dynamic analysis of a micro-resonator driven by electrostatic combs. Communications in Nonlinear Science and Numerical Simulation, 2011, 16(8), 3425-3442.

11. Deng-Qing Cao and Na Zhao. Active Control of Supersonic/Hypersonic Aeroelastic Flutter for a Two-Dimensional Airfoil with Flap. Science China-Technological Sciences, 2011, 54(8), 1943-1953.

12. Dengqing Cao, Xiaochun Gong. Dong Wei, Shiming Chu, Ligang Wang. Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping Due to Tip-rub. Shock & Vibration, 2011, 18(1-2), 105-114.

13. Gong Xiaochun，Cao Dengqing, Active control of an unsymmetrical rotor system with tilting pad journal bearings. Journal of Vibration and Control, 2011, 17(10), 1582-1590.

14. Deng-Qing Cao, Jin-Lin Wang and Wen-Hu Huang. A novel order reduction method for nonlinear structural dynamical system under external periodic excitations. Science in China Series E: Technological Sciences, 2010, 53(3), 684-691.

15. Jin-Lin Wang, D. Q. Cao and Wen-Hu Huang. A New Fluid Film Force Model of Elliptical Bearing: Modeling and Case Studies. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2010, 224: 595-608.

16. Wang LG, Cao DQ, and Huang WH. Nonlinear coupled dynamics of flexible blade-rotor-bearing systems. Tribology International, 2010, 43(4): 759-778.

17. Cao DQ, Wang LG, Chen YS, Huang WH. Bifurcation and Chaos of the bladed overhang rotor system with squeeze film dampers. Science in China Series E: Technological Sciences, 2009, 52(3), 709-720.

18. Liu, D., Cao, D. Q., Wang, C., and Richardson A., Finite element formulation of three dimensional slender structures based on the Cosserat theory. International Journal of Solids and Structure, 2007, 44(24), 7785-7802.

19. Cao, D. Q., Robust stability bounds for nonclassically damped systems with multi-directional perturbations, International Journal of Mechanical Sciences, 2007, 49(3), 405-413.

20. Cao, D. Q., Yang Y. R. and Ge Y. M., Characteristic equation approach to stability measures of linear neutral systems with multiple time delays, Discrete and Continuous Dynamical Systems, 2007, 17(1), 95-105.

21. Zhang K. and Cao D. Q., Further results on asymptotic stability of linear neutral systems with multiple delays, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2007, 344(6), 858-866.

22. Cao, D. Q., Liu, D. and Wang, C. H.-T., Three dimensional nonlinear dynamics of slender structures: Cosserat rod element approach. International Journal of Solids and Structures, 2006, Vol. 43, No.3-4, pp.760-783.

23. Cao D. Q., Liu, D. and Wang, C. H.-T., Nonlinear dynamic modeling for MEMS components via the Cosserat rod element approach. Journal of Micromechanics and Microengineering, 2005, Vol.15, No.7, pp.1334–1343.

24. Cao, D. Q., He, P. and Ge, Y. M., Simple algebraic criteria for stability of neutral delay-differential systems, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2005, Vol.342, No.2, pp.311-320.

25. Burton, D., Cao, D. Q., Tucker, R. W. and Wang, C., On the stability of stay cables under light wind and rain conditions, Journal of Sound and Vibration, 2005, Vol. 279, No.1-2, pp.89-117.

26. Cao, D. Q., Ge, Y. M. and Yang, Y. R., Stability criteria for non-classically damped systems with nonlinear uncertainties, Journal of Applied Mechanics-Transactions of the ASME, 2004, Vol.71, No.5, pp.632-636.

27. Cao, D. Q. and He, P., Sufficient conditions for stability of linear neutral systems with a single delay, Applied Mathematics Letters, 2004, Vol.17, No.2, pp.139-144.

28. He, P. and Cao, D. Q., Algebraic stability criteria of linear neutral systems with multiple time delays, Applied Mathematics and Computation, 2004, Vol.155, No.2-3, pp.643-653.

29. Cao, D. Q. and He, P., Stability criteria of linear neutral systems with a single delay, Applied Mathematics and Computation, 2004, Vol.148, No.1, pp.135-143.

30. Cao, D. Q. Tucker, R. W. and Wang, C., A stochastic approach to cable dynamics with moving rivulets, Journal of Sound and Vibration, 2003, Vol.268, No.2, pp.291-304.

31. Cao, D. Q., He, P. and Zhang, K. Y., Exponential stability criteria of uncertain systems with multiple time delays, Journal of Mathematical Analysis and Applications, 2003, Vol.283, No.2, pp.362-374.

32. Wang Yong, Zeng Jing and Cao Dengqing, Robust stability analysis for railway vehicle systems, Chinese Journal of Mechanical Engineering (English Edition), 2003, Vol.16, No.3, 229-232.

33. Ni Y. Q., Chen Y., Ko J. M. and Cao, D. Q., Neuro-control of cable vibration using semi-active magneto-rheological dampers, Engineering Structures, 2002, Vol. 24, No.3, pp.295-307.

34. Cao Dengqing. Stability robustness measures of linear discrete-time systems with structured perturbations. Journal of Systems Science and System Engineering, 1999, Vol.8, No.1, pp.58-64.

35. Pun D., Lau S.L., and Cao, D. Q., Stability analysis for linear time-varying systems with uncertain parameters: application to steady-state solutions of nonlinear systems. Journal of Vibration and Control, 1999, Vol.5, No.6, pp.925-939.

36. Cao Dengqing, Stability robustness measures of linear state space models with structured uncertainties. Systems Science and Mathematical Sciences, 1998, Vol.11, No.1, pp.32-38.

37. Pun, D., Lau, S.L., Law, S.S., and Cao D. Q., Forced vibration analysis of a multi-degree impact vibrator. Journal of Sound and Vibration, 1998, Vol.213, No.3, pp.447-466.

38. Cao Dengqing, Stability criteria for large-scale linear systems with structured uncertainties. Journal of Southwest Jiaotong University (English Edition), 1996, No.2, pp.145-152.

39. Cao, D. Q. and Shu Z.Z., Robust stability bounds for multi-degree-of-freedom linear systems with structured perturbations. Dynamics and Stability of Systems, 1994, Vol.9, No.1, pp.79-87.

40. Cao Dengqing. Decentralized stabilization of large-scale linear uncertain systems via linear control. Journal of Southwest Jiaotong University (English Edition), 1993, Vol.1, No.2.

41. Cao Dengqing. Periodic solutions for a wide class of nonlinear systems. Quarterly Journal of Mathematics, 1991, Vol.6, No.4, pp.81-85．

42. Huang Anji and Cao Dengqing, On the existence of limit cycles of Lienard equation. Applied Mathematics and Mechanics, 1990, Vol.11, No.2, pp.119-129.

非线性振动（本科生，双语课）

Nonlinear Vibrations is an important course for the undergraduates major in Engineering Mechanics. The mathematical tools of nonlinear vibrations will be introduced throughout the quarter. At the end of the quarter you will have an understanding of why nonlinear vibration is important in engineering and science and you will be able to perform analysis to account for nonlinear effects.

非线性振动（硕士生学位课）

航空航天领域各种复杂结构的轻型化带来结构的柔性化，使得结构振动的非线性问题越来越突出，非线性动力学的概念与理论已经引起结构工程师的广泛关注，且正在逐步引入结构设计中。本课程从非线性振动方程的建立入手，着重介绍非线性振动的基本理论、主要求解方法及其在工程中的应用，并涉及非线性振动的最新研究成果。主要内容：1. 单自由度自治系统的理性理论；2. 单自由度非线性系统的定量求解方法（包括摄动法、KBM法、平均法、谐波平衡法、多尺度法等）；3. 自激振动与极限环；4. 受迫振动、跳跃现象、主共振与亚谐共振等；5. 参数激励系统的振动；6. 多自由度非线性系统的自由振动与受迫振动、内共振与复杂共振现象等。

结构振动控制（硕士生专业课）

对工程结构进行减振、隔振以及振动控制不仅是结构动力学的重要研究领域，也是涉及工程设计中的重要课题。本课程讲述被动、主动及主被动一体化振动控制的理论和方法以及在结构振动控制中的应用，主要涉及：1. 结构被动控制，包括基底隔震结构、调谐质量阻尼器、调液质量阻尼器、耗能阻尼器的减振设计等；2. 主动振动控制，包括系统能控性与能观性、极点配置、最优控制、滑模控制与鲁棒控制的基本原理，主动变刚度控制、主动变阻尼控制，压电驱动主动控制；3. 半主动控制，包括半主动磁流变控制器等。通过本课程学习掌握结构振动控制的基本理论和方法，增强解决工程实际问题的能力。

柔性多体系统动力学（硕士生专题课）

柔性多体系统动力学是涉及受约束变形体承受大位移（包括大转动）时的动力学分析与计算的科学。本课程包括柔性多体动力学的基本方法综述和近期的主要研究方向介绍，柔性多体系统的动力学建模、控制与结构的交互作用、柔性多体系统仿真以及柔性多体系统方法在大变形问题中的应用等。主要内容：柔性多体系统动力学的发展概况与工程应用背景；柔性多体系统动力学分析的全局模态法；多柔体系统动力学的假设模态方法；大型柔性系统的模态综合法；研究团队涉及柔性多体系统动力学的近期研究内容。

复杂系统动力学与振动控制（博士生专业课）

掌握复杂动力系统的建模、分析、设计与控制方法，涉及复杂系统涵盖复杂转子/轴承系统，非光滑动力系统，薄壁结构，多刚/柔体系统等。主要研究复杂系统的稳定性、动力学响应、分岔与主/被动振动控制等内容，通过本课程的学习将使得学生具备利用他们关于非线性动力学，振动与控制的相关知识来解决自然界，尤其是土木、机械、航空航天等工程领域中遇到的复杂系统的动力学与振动控制问题的能力。

硕士、博士研究生招生:

动力学与控制专业，研究方向：航天器动力学与控制、结构动力学与振动控制、流固耦合动力学

欢迎力学、机械、土木、数学、飞行器、机车车辆等相关专业的同学报考。

指导大学生科技创新项目：基于径流双轮效应的新概念风力发电机设计，获第四届大学生节能减排社会实践与科技竞赛二等奖，2011年。

1. Chu SM, Cao DQ, Sun SP, Pan JZ and Wang LG. Impact vibration characteristics of shrouded blades with asymmetric gaps under wake flow excitations. Nonlinear Dynamics, 2013, 72(3): 539-554.

2. Xiaochun Gong and Dengqing Cao. Fuzzy proportional-integral-derivative control of an overhang rotor with double discs based on the active tilting pad journal bearing. Journal of Vibration and Control, 19(10), 1487-1498.

3. 孙述鹏, 曹登庆, 初世明. 转动薄壁圆柱壳行波振动响应分析. 振动工程学报, 2013, 26(3), 459-466.

4. Hai Zhao and Dengqing Cao. A study on the aero-elastic flutter of stiffened laminated composite panel in the supersonic flow. Journal of Sound and Vibration, 2013, 332(19), 4668-4679.

5. 潘健智, 曹登庆, 初世明, 王立刚. 热膨胀诱导的转子轴向窜动与摩擦振动. 航空动力学报, 2013, 28(5), 989-998.

6. 曹登庆, 初世明, 李郑发, 刘荣强. 空间可展机构非光滑力学模型和动力学研究. 力学学报, 2013, 45(1), 3-15.

7. Shupeng Sun, Dengqing Cao, Qingkai Han. Vibration Studies of Rotating Cylindrical Shells with Arbitrary Edges using Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method. International Journal of Mechanical Sciences, 2013, 68: 180-189.

8. Cao DQ, Song MT, Tucker RW, Zhu WD, Liu DS, Huang W H. Dynamic equations of thermo-elastic Cosserat rods. Communications in Nonlinear Science and Numerical Simulation, 2013, 18, 1880-1887.

9. 王庆洋, 曹登庆, 杨军波. 阻尼环对齿轮系统轴向振动的减振特性研究. 振动与冲击, 2013, 32(6), 190-194.

10. 初世明, 曹登庆, 潘健智, 孙述鹏, 王立刚. 柔性旋转带冠叶片的非线性动力学特征，中国科学：物理学、力学、天文学, 2013, 43(4): 424-435.

11. Shupeng Sun, Dengqing Cao, Shiming Chu. Free vibration analysis of thin rotating cylindrical shells using wave propagation approach. Archive of Applied Mechanics, 2013, 83: 521-531.

12. 曹登庆, 宋敉淘. 预应力曲杆的Cosserat动力学模型. 哈尔滨工业大学学报, 2012, 44(11), 1-6.

13. 黄文虎, 曹登庆, 韩增尧. 航天器动力学与控制的研究进展与展望. 力学进展, 2012, 42(4), 367-394.

14. D.Q. Cao, M.T. Song, W.D. Zhu, R.W. Tucker, C.H.-T. Wang. Modeling and analysis of the in-plane vibration of a complex cable-stayed bridge. Journal of Sound and Vibration, 2012, 331(26)，5685-5714.

15. Shunpeng Sun, Shiming Chu, Dengqing Cao. Vibration Characteristics of Thin Rotating Cylindrical Shells with Various Boundary Conditions. Journal of Sound and Vibration, 2012, 331(18)，4045-4056.

16. 程危危, 曹登庆, 初世明. 风力机叶片动力学建模研究. 动力学与控制学报, 2011, 9(4), 342-347.

17. Song MT, Cao DQ and Zhu WD. Dynamic analysis of a micro-resonator driven by electrostatic combs. Communications in Nonlinear Science and Numerical Simulation, 2011, 16(8), 3425-3442.

18. Deng-Qing Cao and Na Zhao. Active Control of Supersonic/Hypersonic Aeroelastic Flutter for a Two-Dimensional Airfoil with Flap. Science China-Technological Sciences, 2011, 54(8), 1943-1953.

19. Dengqing Cao, Xiaochun Gong. Dong Wei, Shiming Chu, Ligang Wang. Nonlinear Vibration Characteristics of a Flexible Blade with Friction Damping Due to Tip-rub. Shock & Vibration, 2011, 18(1-2), 105-114.

20. Gong Xiaochun, Cao Dengqing, Active control of an unsymmetrical rotor system with tilting pad journal bearings. Journal of Vibration and Control, 2011, 17(10), 1582-1590.

21. 孙华刚, 冯广斌, 曹登庆, 毛向东. 齿轮裂纹对啮合刚度的影响分析. 车辆与动力技术, 2010, 24(4): 53-56.

22. Deng-Qing Cao, Jin-Lin Wang and Wen-Hu Huang. A novel order reduction method for nonlinear structural dynamical system under external periodic excitations. Science in China Series E: Technological Sciences, 2010, 53(3), 684-691.

23. 曹登庆, 王晋麟, 黄文虎. 预估校正Galerkin方法及其在大型转子-轴承系统中的应用. 振动与冲击, 2010, 29(2): 94-98, 116.

24. Jin-Lin Wang, D. Q. Cao and Wen-Hu Huang. A New Fluid Film Force Model of Elliptical Bearing: Modeling and Case Studies. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2010, 224: 595-608.

25. Wang LG, Cao DQ, and Huang WH. Nonlinear coupled dynamics of flexible blade-rotor-bearing systems. Tribology International, 2010, 43(4): 759-778.

26. 王晋麟, 曹登庆, 黄文虎. 后处理Galerkin方法在转子-轴承系统降维中的应用. 汽轮机技术, 2009, 51(5), 326-329.

27. 王晋麟, 曹登庆, 宋敉淘. 大型动力系统的降维：基于模态截断的非线性Galerkin方法. 动力学与控制学报, 2009, 7(2), 108-112.

28. 王立刚, 曹登庆, 黄文虎. 叶片振动影响下双盘转子－轴承系统的稳定性与分岔. 力学季刊, 2009, 30(1), 14-22.

29. 宫晓春, 曹登庆. 含参数多自由度非线性系统的降维方法研究. 动力学与控制学报, 2009, 7(2), 129-135.

30. 宋敉淘, 曹登庆. 应用非线性Galerkin方法求解微梁的动态响应. 动力学与控制学报, 2009, 7(3), 205-211.

31. 赵娜, 曹登庆. 铁道车辆含故障参数的非线性动力学建模. 振动与冲击, 2009, 28(6), 122-125.

32. 陈敏, 金学松, 曹登庆. 结构振动的时滞输出反馈控制器设计. 动力学与控制学报, 2009, 7(1), 55-60.

33. 曹登庆, 曾京, 陈危危, 陈敏. 装有MR阻尼器的转向架动力系统的时滞输出反馈控制. 振动与冲击, 2009, 28(6), 135-138.

34. Cao DQ, Wang LG, Chen YS, Huang WH. Bifurcation and Chaos of the bladed overhang rotor system with squeeze film dampers. Science in China Series E: Technological Sciences, 2009, 52(3), 709-720.

35. 曹登庆, 王晋麟, 杨金福, 黄文虎. 椭圆轴承非线性油膜力模型－近似解析方法. 振动与冲击, 2008, 27(s), 171-177.

36. Cao, D. Q. and R. W. Tucker, Nonlinear Dynamics of Elastic Rods Using the Cosserat Theory: Modelling and Simulation. International Journal of Solids and Structure, 2008, 45(2), 460-477.

37. 王立刚, 曹登庆, 王晋麟, 黄文虎, 崔颖. 椭圆轴承－转子系统的稳定性与分岔, 航空动力学报, 2008, 23(2), 263-269.

38. Liu, D., Cao, D. Q., Wang, C., and Richardson A., Finite element formulation of three dimensional slender structures based on the Cosserat theory. International Journal of Solids and Structure, 2007, 44(24), 7785-7802.

39. Cao, D. Q., Robust stability bounds for nonclassically damped systems with multi-directional perturbations, International Journal of Mechanical Sciences, 2007, 49(3), 405-413.

40. 王立刚, 曹登庆, 胡超, 黄文虎. 叶片振动对转子-轴承系统动力学行为的影响, 哈尔滨工程大学学报, 2007, 28(3), 320-325.

41. 陈予恕, 曹登庆, 吴志强, 非线性动力学理论及其在机械系统中应用的若干进展, 宇航学报, 2007, 28(4), 22-32.

42. 陈予恕, 曹登庆, 黄文虎, 近代机械非线性动力学与优化设计技术的若干问题, 机械工程学报, 2007, 43(11), 17-26.

43. Cao, D. Q., Liu, D. and Wang, C. H.-T., Three dimensional nonlinear dynamics of slender structures: Cosserat rod element approach. International Journal of Solids and Structures, 2006, Vol. 43, No.3-4, pp.760-783.

44. Cao D. Q., Liu, D. and Wang, C. H.-T., Nonlinear dynamic modeling for MEMS components via the Cosserat rod element approach. Journal of Micromechanics and Microengineering, 2005, Vol.15, No.7, pp.1334–1343.

45. Burton, D., Cao, D. Q., Tucker, R. W. and Wang, C., On the stability of stay cables under light wind and rain conditions, Journal of Sound and Vibration, 2005, Vol. 279, No.1-2, pp.89-117.

46. Cao, D. Q., Ge, Y. M. and Yang, Y. R., Stability criteria for non-classically damped systems with nonlinear uncertainties, Journal of Applied Mechanics-Transactions of the ASME, 2004, Vol.71, No.5, pp.632-636.

47. Cao, D. Q. and He, P., Sufficient conditions for stability of linear neutral systems with a single delay, Applied Mathematics Letters, 2004, Vol.17, No.2, pp.139-144.

48. Cao, D. Q. Tucker, R. W. and Wang, C., A stochastic approach to cable dynamics with moving rivulets, Journal of Sound and Vibration, 2003, Vol.268, No.2, pp.291-304.

49. Cao, D. Q., He, P. and Zhang, K. Y., Exponential stability criteria of uncertain systems with multiple time delays, Journal of Mathematical Analysis and Applications, 2003, Vol.283, No.2, pp.362-374.

50. Ni Y. Q., Chen Y., Ko J. M. and Cao, D. Q., Neuro-control of cable vibration using semi-active magneto-rheological dampers, Engineering Structures, 2002, Vol. 24, No.3, pp.295-307.
    

舒仲周，张继业，曹登庆，运动稳定性。中国铁道出版社，北京，2002。